text: Nonlinear Analysis: Modelling and Control, 2013, Vol. 18, No. 2, 177–190 177 Detection of multiple changes in mean by sparse parameter estimation∗ Jiˇrí Neubauera , Vítˇezslav Veselýb a University of Defence Kounicova 65, 61200 Brno, Czech Republic [email protected] b Masaryk University Lipová 41a, 60200 Brno, Czech Republic [email protected] Received: 13 February 2012 / Revised: 21 February 2013 / Published online: 18 April 2013 Abstract. The contribution is focused on detection of multiple changes in the mean in a onedimensional stochastic process by sparse parameter estimation from an overparametrized model. The authors' approach to change point detection differs entirely from standard statistical techniques. A stochastic process residing in a bounded interval with changes in the mean is estimated using dictionary (a family of functions, the so-called atoms, which are overcomplete in the sense of being nearly linearly dependent) and consisting of Heaviside functions. Among all possible representations of the process we want to find a sparse one utilizing a significantly reduced number of atoms. This problem can be solved by `1 -minimization. The basis pursuit algorithm is used to get sparse parameter estimates. In this contribution the authors calculate empirical probability of successful change point detection as a function depending on the number of change points and the level of standard deviation of additive white noise of the stochastic process. The empirical probability was computed by simulations where locations of change points were chosen randomly from uniform distribution. The authors' approach is compared with LASSO algorithm, `1 trend filtering and selected statistical methods. Such probability decreases with increasing number of change points and/or standard deviation of white noise. The proposed method was applied on the time series of nuclear magnetic response during the drilling of a well. Keywords: multiple change point detection, sparse parameter estimation, basis pursuit denoising, LASSO, `1 trend filtering. 1 Introduction Detection of changes in the mean helps us to discover time points at which some intrinsic properties of a stochastic process change. This covers a broad range of real-world problems and has been actively discussed. The standard statistical approach to this problem ∗ This research was supported by the grant GACR ˇ P402/10/P209 and FEM Development Projects Economic Laboratory. c Vilnius University, 2013 178 J. Neubauer, V. Veselý is described, for example, in [1]. The article is focused on detection of multiple changes in the mean in a one-dimensional stochastic process using sparse parameter estimation from an overparametrized model. Sparse modeling is a quickly developing area on the intersection of statistics, machine-learning and signal processing. It can be effectively used in the case of large data sets fitting when standard numerical methods are unstable. Several methods of large-scale data analysis can be found, for example, in [2]. Detection of changes has originally arisen in the context of quality control. Nowadays, we can find a wide range of fields where change point problem is applied, such as epidemiology, medicine (rhythm analysis), ecology, signal processing etc. When analyzing measurements coming from real problems often some events or anomalies are manifested by abrupt changes which may not be quite apparent in their early stage, detection of hearing loss in audiological frequencies [3] being an example out of many illustrating such a situation. Detection of changes in processes need not involve only changes in the mean, but also changes in the variance or other characteristics. For example, the article [4] deals with detection of changed segment in a binomial sequence. The authors' approach to change point detection is quite different from the standard statistical techniques. The statistical approaches usually use for change point estimation the maximum likelihood method or non-parametric methods, such as methods based on M and R estimates (see [1,5]). In the case of uncorrelated white noise in the model and one change in the mean, the authors Neubauer and Veselý [6] showed that there is no significant difference among these methods. The proposed method of the change point detection is based on entirely different methods, built on a completely different approach. It is a very versatile approach to signal modeling, assuming that the signal is sparse; therefore, it can be described by a small number of suitable functions. A stochastic process residing in a bounded interval with changes in the mean is estimated using dictionary (a family of functions, the so-called atoms) and consisting of Heaviside functions. Among all the possible representations of the process we want to find a sparse one utilizing a significantly reduced number of atoms. This problem can be solved by `1 -minimization (see [8, 9]) or by some of the greedy algorithms which are compared to the `1 -minimization in [10]. The basis pursuit algorithm is used to get sparse parameter estimates. Basic properties of this approach to one change point detection were studied in [6] by simulations and included a performance comparative study with standard statistical procedures as well. The impact of serial correlation of noise on change point detection is described in [7]. The contribution [11] deals primarily with detection of two change points. According to these results, the basis pursuit approach proposes an alternative technique of the change point detection. In this article the authors calculate empirical probability of successful change point detection as a function depending on the number of change points and the level of standard deviation of additive white noise of the stochastic process. The empirical probability was computed by simulations where locations of change points were chosen randomly from uniform distribution. As an alternative to the basis pursuit algorithm, LASSO method [12], `1 trend filtering [13] and selected statistical method were taken to judge the proposed method. The last part of the article demonstrates how the aforementioned methods can automate the change point detection in the time series of nuclear magnetic response during the drilling of a well. www.mii.lt/NA Detection of multiple changes in mean by sparse parameter estimation 2 179 Basis pursuit and change point detection In this paragraph we briefly describe the method based on basis pursuit algorithm (BPA) for the detection of the change point in the sample path {yt } in one-dimensional stochastic process {Yt }. We assume a deterministic functional model on a bounded interval I described by the dictionary G = {Gj }j∈J with atoms Gj ∈ L2 (I) and with additive white noise e on a suitable finite discrete mesh T ⊂ I: Yt = xt + et , t∈T, where x ∈ sp({Gj }j∈J ), et ∼ WN (0, σ 2 ), t ∈ T , σ > 0, and J is a big finite indexing P set. Smoothed function x ˆ = j∈J ξˆj Gj =: Gξˆ minimizes on T `1 -penalized optimality measure (1/2)ky − Gξk22 as follows: 1 ξˆ = arg min ky − Gξk22 + λkξk1 , ξ∈`2 (J) 2 kξk1 := X kGj k2 |ξj |, j∈J p where λ = σ 2 ln (cardJ) is a smoothing parameter chosen according to the softthresholding rule commonly used in wavelet theory. This choice is natural because one can prove that with any orthonormal basis G = {Gj }j∈J the shrinkage via soft-thresholding produces the same smoothing result x ˆ (see [9]). Such approaches are also known as basis pursuit denoising (BPDN). Solution of this minimization problem withP λ close to zero may not be sparse enough: we are searching small F ⊂ J such that x ˆ ≈ j∈F ξˆj Gj is a good approximation. The procedure of BPDN is described in [6]. We build our dictionary from heaviside-shaped atoms on L2 (R) derived from a fixed "mother function" via shifting and scaling following the analogy with the construction of wavelet bases. We construct an oversized shift-scale dictionary G = {Ga,b }a∈A,b∈B derived from the "mother function" by varying the shift parameter a and the scale (width) parameter b between values from big finite sets A ⊂ R and B ⊂ R+ , respectively (J = A × B), on a bounded interval I ⊂ R spanning the space H = sp({Ga,b })a∈A,b∈B , where 1 2(t − a)/b Ga,b (t) = 0 −1 for t − a > b/2, for |t − a| 6 b/2, b > 0, for t = a, b = 0, otherwise. In the simulations below I = [0, 1], T = {t/T } (typically with mesh size T = 100), T −t0 A = {t/T }t=t (t0 is a boundary trimming, t0 = 5 was used in the simulations) and 0 scale b fixed to zero (B = {0}). Clearly the atoms of such Heaviside dictionary are normalized on I, i.e. kGa,0 k2 = 1. Some examples of Heaviside functions are displayed in Fig. 1. Nonlinear Anal. Model. Control, 2013, Vol. 18, No. 2, 177–190 180 J. Neubauer, V. Veselý Heaviside atom (a=0, b=0.5) Heaviside atom (a=0, b=0) 1 1 0.5 0.5 0 0 −0.5 −0.5 −1 −1 b=0.5 −1 −0.5 0 t 0.5 1 −1 −0.5 0 t 0.5 1 Fig. 1. Heaviside atoms with parameters a = 0, b = 0 and a = 0, b = 0.5. Neubauer and Veselý [6] proposed the method of change point detection if there is just one change point in a one-dimensional stochastic process (or in its sample path). We briefly describe this method. We would like to find a change point in a stochastic process ( µ + t for t = 1, 2, . . . , c, Yt = (1) µ + δ + t for t = c + 1, . . . , T, where µ, δ 6= 0, t0 6 c < T − t0 are unknown parameters and t are independent identically distributed random variables with zero mean and variance σ 2 . The parameter c indicates the change point in the process. Using the basis pursuit algorithm we obtain some significant atoms, we calculate the correlation between the significant atoms and the analyzed process. As a BPDN estimator of the change point c we take the shift parameter of the significant atom matching one of three alternative rules: the atom is the most significant one, it exhibits the highest correlation with the data or it produces the highest value of geometric mean of the correlation coefficient and its contribution to the total `1 norm. In the case of one change point, the estimator based on the highest correlation performed slightly better. Now let us assume the model with p change points for t = 1, 2, . . . , c1 , µ + t µ + δ + for t = c + 1, . . . , c , 1 t 1 2 Yt = (2) · · · µ + δp + t for t = cp + 1, . . . , T, where µ, δ1 , . . . , δp 6= 0, t0 6 c1 < · · · < cp < T − t0 are unknown parameters and t are independent identically distributed random variables with zero mean and variance σ 2 . We use the method of change point estimation described above for detection of p change points c1 , . . . , cp in model (2). Instead of finding only one significant atom we identify either p most significant atoms, or p significant atoms exhibiting the highest correlation, or p significant atoms having the highest value of geometric mean of the www.mii.lt/NA Detection of multiple changes in mean by sparse parameter estimation 181 correlation coefficient and the contribution to the total `1 norm. The shift parameters of such atoms determine direct BPDN estimators for the change points c1 , . . . , cp . Another possibility is to apply the procedure of one change point detection p-times in sequence (sequential BPDN estimator). In the first step we identify one change point in the process Yt , then we subtract the contribution of such a significant atom from the process (by linear regression) Yt = γG0,ˆc1 + et , Yt0 = Yt − γˆ G0,ˆc1 , and we apply the same method to the new process Yt0 . This sequence is repeated until we get p change point estimates. The shift parameters of selected atoms are again identifiers of the change points c1 , . . . , cp . Regarding the theoretical background, we consider three well-known criteria. The so-called spark of a matrix (dictionary) G is the minimum number of columns of G which are linearly dependent. It can be shown (see [14]) that if a solution x of our inverse problem is found which satisfies kxk0 < spark(G)/2 then x is the sparsest and unique solution to this problem. However, in general, establishing spark is an NP-hard problem so in practice this is intractable. Nevertheless, due to a clear structure of our dictionary G, we know that its spark is full, i.e. 101 in our case. Thus, if a solution x would be found with kxk0 6 45 then we have the true solution. This actually motivates to exploit the sparsity-seeking approach. However, one must be aware of two major facts: First, this result only holds in case without noise and the noisy case is not solved in the literature yet. Second, the statement does not tell anything about how the solution should be obtained! Another measure of goodness of the dictionary is the mutual coherence (see [8, 14]) which is defined pairwise as µ(G) = maxi6=j giT gj for `2 -normalized columns. This value can be determined computationally – in our case it is 0.99 which means that the atoms are very close to each other. The relationship between µ and spark is known and thanks to that there exists a theorem saying that if a solution x is found satisfying kxk0 < (1/2)(1 + 1/µ(G)) then it is the unique one. But in our case the value of the right side only 1.0051 which means that this would be true only if the sparsity of the solution would be 1 (without noise, again). In our case of multiple change-points this is contradictory, so the coherence does not help much here. The third property of a dictionary is the RIP (restricted isometry property, see [15]) which is again not possible to compute in polynomial time, but can be used to specify a condition under which the solution can be found via `1 -minimization (which we use). We found numerically that the RIP constant δk which could be found in a combinatorial way even for such low values as k = 2 and k = 3 is in the order of 101 ; RIP requires δk < 1. However this is not a surprise, since the only matrices which are known to obey the RIP are certain classes of random matrices, see [8, 15]. To conclude, no one of the state-of-the art quantities measuring the goodness of the dictionary really helps, so we rely on the simulation results (which is in fact not uncommon in the sparse-land publications area), see [16, 17]. Nonlinear Anal. Model. Control, 2013, Vol. 18, No. 2, 177–190 182 3 J. Neubauer, V. Veselý The LASSO The LASSO (least absolute selection and shrinkage operator) is a shrinkage and selection method for linear regression. It minimizes the sum of squared errors, with a bound on the sum of the absolute values of the coefficients. Using the usual linear regression notation the LASSO estimate is defined in [12] as follows: βˆLASSO = arg min β T X yi − β0 − i=1 p X 2 xij βj subject to j=1 p X |βj | 6 t. j=1 Rewriting this in terms of operators and language of atoms and dictionaries, we obtain a denoising approach similar to basis pursuit. 4 `1 trend filtering In [13] the authors propose a variation on Hodrick–Prescott filtering, which they call `1 trend filtering. The trend is estimated as the minimizer of the objective function T T −1 X 1X (yt − xt )2 + χ |xt−1 − 2xt + xt+1 |, 2 t=1 t=2 (3) which can be written in the matrix form as 1 ky − xk22 + χkDxk1 , 2 where χ > 0 is a smoothing parameter, x = (x1 , . . . , xT )0 ∈ RT , y = (y1 , . . . , yn )0 ∈ RT and D ∈ R(T −2)×T is the matrix 1 −2 1 1 −2 1 . . . .. .. .. D= . 1 −2 1 1 −2 1 The `1 trend estimate is piecewise linear in t. The points where the slope of the estimated trend is changed can be interpreted as abrupt changes (change points) in the process. Model (2) describes only changes in the mean. We adapt the proposed method for detection change point of this kind. The argument appearing in the second term of (3), xt−1 − 2xt + xt+1 , is the second difference of {xt }. It is zero when and only when three points xt−1 , 2xt and xt+1 are on the line. In the case of the piecewise constant trend, we replace the second difference with the first difference xt − xt−1 . We will minimize the function T T X 1X (yt − xt )2 + χ |xt − xt−1 |, (4) 2 t=1 t=2 www.mii.lt/NA Detection of multiple changes in mean by sparse parameter estimation 183 in the matrix form (1/2)ky − xk22 + χkDxk1 , where D ∈ R(T −1)×T is the matrix 1 −1 1 −1 .. .. D= . . . 1 −1 1 −1 The estimated trend is piecewise constant. The points where the estimated trend is changed can be taken as estimates of change points. 5 Statistical methods Consider model (1). Assuming σ 2 given, the unknown parameters c, µ and δ may be estimated by the least-squares method. The least-squares estimators cˆ, µ ˆ and δˆ of the parameters c, µ and δ are defined as solutions of the minimization problem X T k X 2 2 (Yt − µ − δ) ; k ∈ {1, . . . , T − 1}, µ ∈ R, δ ∈ R . (Yt − µ) + min t=1 t=k+1 In other words, the unknown parameters are estimated in such a way that the sum of squares of residuals is minimal. The estimates of the parameters µ and δ are (see [5] etc.) µ ˆ = Y cˆ and 0 δˆ = Y cˆ − Y cˆ, where cˆ is a solution of the maximization problem s T cˆ = arg max |Sk |; k ∈ {1, . . . , T − 1} , k(T − k) (5) Pk PT Pcˆ where we denote Sk = t=1 (Yt − Y T ), Y T = (1/T ) t=1 Yt , Y cˆ = (1/ˆ c) t=1 Yt PT 0 and Y cˆ = 1/(T − cˆ) t=ˆc+1 Yt . In the case of multiple change points, we can use the described statistical method of one change point detection via the following procedure. At first, find cˆ(1) by solving (5). Secondly, divide observations into two groups Y1 , . . . , Ycˆ(1) and Ycˆ(1) +1 , . . . YT and find the estimator in each group. The whole procedure is repeated until a "constant mean is obtained". This procedure is called "binary segmentation". The statistical computing environment R, package "changepoint", offers several methods for multiple change point detection. For the purpose of comparison, we will employ two basic approaches: detection of multiple change points using binary segmentation for normally distributed data and the method based on cumulative sums with the use of binary segmentation (see [1, 18–20]). Nonlinear Anal. Model. Control, 2013, Vol. 18, No. 2, 177–190 184 6 J. Neubauer, V. Veselý Simulation study For the purpose of performance study of the proposed method of multiple change point detection we use simulations of process (2). We put T = 100, µ = 0, the error terms are independent normally distributed with zero mean and the standard deviations σ = 0.1, 0.2, 0.5 and 1. Locations of change points were chosen at random uniformly in the interval [5, 95], jumps δi (i = 1, . . . , p) taking heights ±1 (+ or − at random with equal probability). The minimum distance between neighboring change points is 5. For each number of change points out of p = 1, . . . , 15 we calculated 500 simulations of process (2). A uniform distribution was used in the simulations to generate random position of change points. In terms of change point detection, the change points are distributed within intervals of equal length with the same probability. Thus, there is no preferred position of change points. If we choose, for example, a normal distribution with the mean in the middle of the interval, position change points are more likely close to this center. As was shown in [6], detection of change points located in the middle of the process is more successful than in the case that this jump is near the beginning or end of the process. From this perspective, the choice of the uniform distribution is the most appropriate. We applied ten methods to detect change points: • the direct BPDN estimator based on p most significant atoms; • the direct BPDN estimator based on p significant atoms exhibiting the highest correlation with the data; • the direct BPDN estimator based on the highest geometric mean of the correlation coefficient and the contribution to the total `1 norm; • the sequential BPDN estimator based on the most significant atom; • the sequential BPDN estimator based on the significant atom with the highest correlation; • the sequential BPDN estimator based on the highest geometric mean of correlation coefficient and the contribution to the total `1 norm; • the LASSO algorithm; • the adapted `1 trend filtering; • the estimator for normally distributed data using the binary segmentation method; • the cumulative sums estimator using the binary segmentation method. We calculate empirical probability of successful change point detection as empirical probability = number of successful detections . number of simulations The detection was a success provided that all p change points could be correctly identified. The results are summarized by plots in Fig. 2. www.mii.lt/NA Detection of multiple changes in mean by sparse parameter estimation 185 (a) (b) (c) (d) Fig. 2. Empirical probability of successful change point detection for: (a) σ = 0.1, (b) σ = 0.2, (c) σ = 0.5, (d) σ = 1. BPDN – black solid, BPDN (the highest correlation) – blue solid, BPDN (geometric mean) – red solid, sequential BPDN – black dashed, sequential BPDN (the highest correlation) – blue dashed, sequential BPDN (geometric mean) – red dashed, LASSO – green, adapted `1 trend filtering – black dotted, normal data with binary segmentation – blue dotted, cumulative sums with binary segmentation – red dotted. (Online version in colour.) The empirical probability of the sequential methods is generally higher than the probability of the direct detection methods. We assumed that the difference between two neighbouring atoms is at least 5. In the case of sequential methods we exclude all atoms detected in preceding iterations. Basis pursuit denoising estimates were computed in Matlab utilizing [21] and fourstep modification of BPDN (BPA4) from the toolbox [22]. A detailed description of the BPA4 algorithm can be found in [23]. The LASSO estimates were calculated in R using the package "lars". The algorithm of least angle regression is used to get LASSO estimates [24]. For the purpose of `1 trend filtering, the Matlab code written by Koh et al. [25] was employed. The smoothing parameter χ was for σ = 0.1 and 0.2 set to 1, for σ = 0.5 to 2 and for σ = 1 to 5. The package "changepoint" in the statistical environment R was used to obtain the last two estimators. Nonlinear Anal. Model. Control, 2013, Vol. 18, No. 2, 177–190 186 J. Neubauer, V. Veselý 5 x 10 1.45 1.4 1.35 1.3 1.25 1.2 1.15 1.1 1.05 0 200 400 600 800 1000 1200 Fig. 3. Nuclear magnetic response during the drilling of a well. 7 Real data example In this part of the article we will apply all of the aforementioned methods of change point detection to time series comprising measurements of nuclear magnetic response made during the drilling of a well (see [26,27]). The changes should correspond to the transition between the different strata of rock. We will analyze a subset of this dataset containing 1200 measurements (from the index 1551 to 2750). Table 1 contains the results obtained Table 1. The results of change point detection for time series of nuclear magnetic response during the drilling of a well. Method BPDN (sorted) BPDN – corr. (sorted) BPDN – geom. mean (sorted) BPDN – seq. (sorted) BPDN – corr seq. (sorted) BPDN – geom. mean seq. (sorted) LASSO (sorted) adapted `1 trend filtering (sorted) Normal data (sorted) CUSUM (sorted) 135 59 134 59 135 59 135 135 134 126 135 135 135 135 1041 134 134 134 135 135 859 135 59 134 1041 135 859 141 316 134 1041 145 1043 317 859 316 316 316 316 316 Change points estimates 1041 919 982 316 316 498 859 919 1041 498 920 984 316 498 856 920 919 982 59 498 316 498 859 919 141 1041 918 316 316 498 859 918 1041 498 858 919 316 498 858 919 316 859 498 920 316 498 859 920 317 499 859 921 499 504 859 921 316 134 919 981 322 498 859 919 496 1042 858 919 496 676 858 919 498 1041 858 919 498 676 858 919 498 982 316 984 316 982 498 981 981 981 981 981 504 1043 498 981 981 981 981 981 59 1041 856 1041 859 1041 981 1041 126 1041 145 1041 1061 1061 322 1041 676 1042 676 1041 www.mii.lt/NA Detection of multiple changes in mean by sparse parameter estimation 187 by 10 described methods, where 8 change points were estimated. For each method there is listed a sequence of change point estimates in the order they were detected, then these estimates are sorted in ascending order for clarity. Seven possible position of change points were detected (in the range 134–135, 316–317, 496–499, 919–920, 981–982 and 1041–1042). Only the method based on the LASSO algorithm did not find the change in 981–982. The estimates of the eighth change point whose position is not apparent differs for each method. Similarly to the simulation study, we assumed that the difference between two neighboring change point estimates was at least 5. The smoothing parameter χ in adapted `1 trend filtering was set to 105 . 8 Conclusion According to the simulation results the basis pursuit approach proposes a reasonable detection method of change points in one-dimensional process. In the case of one change point, the method based on significant atoms with the highest correlation with the process yields better results than the method based on pure `1 minimization when the standard deviation of the white noise is large. This is not valid for more than one change point which can be drawn from the graphs of the empirical probability of successful change point detection. It is apparent from the graphs that the sequential methods performed better than the direct ones. The LASSO algorithm gives similar results for one or two change points compared to non-sequential approaches when the level of the noise is small. For more than two change points the LASSO algorithm offers lower empirical probability of successful change point detection. For larger standard deviation of the noise and small number of change points the LASSO gives a comparable result as the method based on the correlation coefficient. As we can deduce from the simulations, the adapted `1 filtering gives almost comparable results with the sequential methods (except the method based on the highest correlation). However, for the standard deviation 0.2 and high number of change points the empirical probability of successful detection of the two proposed methods is higher than for adapted `1 filtering. If one wants to compare the aforementioned statistical methods, it can be said according to the calculated empirical probability, the estimators using the cumulative sums perform worse than the other one. The sequential methods give, in most cases, better results than the statistical approaches. In the case of large standard deviation and higher number of change points the differences among the proposed methods nearly vanish. In general, with the increasing number of change points the empirical probability decreases as one can expect. The standard deviation of an additive white noise of the process also affects the probability of successful detection. Higher values of the standard deviation cause lower probability of successful detection. As to the computational speed it should be noted that the LASSO algorithm, the adapted `1 trend filtering and the algorithms for statistical estimates are significantly faster than the algorithm BPA4 used for the basis pursuit denoising. In addition to the problem of change point detection, the described four-step procedure using basis pursuit algorithm can solve a number of problems of various types, such as signal processing [9], kernel Nonlinear Anal. Model. Control, 2013, Vol. 18, No. 2, 177–190 188 J. Neubauer, V. Veselý smoothing [23], and ARMA models fitting [28]. This 4-step version of basis pursuit algorithm usually gives better results than pure basis pursuit approach. The price for this refinement is the increase in computation time. The aim of the article was not to monitor the speed of algorithms but to focus on the ability of each method to correctly detect potential changes. The dictionary created from Heaviside functions (atoms) can be merged with another set of functions, i.e. Fourier dictionary (see [9]) or Gaussian functions. The resulting dictionary can be applied to smooth the signal (the process) containing abrupt changes (jumps). The change point detection techniques may be useful in a broad range of real-world problems, for instance in the modeling of economical or environmental time series where jumps can occur. In general, the scope of sparse modeling based on basis pursuit or other related algorithms [29] goes far beyond the change-point problem. It is because two factors are crucial for successful modeling: choice of an adequate model and a numerically stable estimation procedure yielding reliable parameter estimates. Unfortunately the ideas about a choice of an appropriate model are often very vague and produce models where it is hard to balance the requirement on sufficient regularity of the model (as few parameters as possible to guarantee numerical stability) and feasible precision which forces the analyst to increase the number of model components typically leading to overparameterization accompanied with non-uniqueness and numerical instability of solutions. Then the obtained numerical solution (parameter estimates) may strongly depend on the algorithm applied and consequently many of them may accidentally produce instable solutions corrupted by round-off error propagation. Thus there is a danger that statistical analysis on parameters is partially or fully inadequate because the results of numerical computations may be far from the theoretically exact ones (the random effects are buried in round-off errors and cannot be separated). 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Veselý, Impact of serial correlation on change point detection by sparse parameter estimation, in 10th International Conference on Applied Mathematics (APLIMAT 2011), Bratislava, 2011, pp. 1249–1254. 8. A.M. Bruckstein, D.L. Donoho, M. Elad, From sparse solutions of systems of equations to sparse modeling of signals and images, SIAM Rev., 51(1):34–81, 2009. 9. S.S. Chen, D.L. Donoho, M.A. Saunders, Atomic decomposition by basis pursuit, SIAM J. Sci. Comput., 20(1):33–61, 1998; SIAM Rev., 43(1):129–159, 2001. 10. J. Spirik, Algorithms for computing sparse solutions, in Proceedings of the 17th Conference Student EEICT 2011, Vol. 3, Novpress s.r.o., Brno, 2011, pp. 123–127. 11. J. Neubauer, V. Veselý, Multiple change point detection by sparse parameter estimation, in Proceedings of COMPSTAT'2010: 19th International Conference on Computational Statistics, Paris, France, August 22–27, 2010, pp. 1453–1459. 12. T. Hastie, R. Tibshirani, J.H. Friedman, The Elements of Statistical Learning, Springer, New York, 2001. 13. S.-J. Kim, K. Koh, S. Boyd, D. Gorinevsky, `1 trend filtering, SIAM Rev., 51(2):339–360, 2009. 14. D.L. Donoho, M. Elad, Optimally sparse representation in general (nonorthogonal) dictionaries via l1 minimization, in Proc. Natl. Acad. Sci. USA, 100(5):2197–2202, 2003. 15. E.J. Candes, T. Tao, Decoding by linear programming, IEEE Trans. Inf. Theory, 51:4203–4215, 2005. 16. J.A. Tropp, Average-case analysis of greedy pursuit, in Proceedings of SPIE, Vol. 5914, 2005, doi:10.1117/12.618154. 17. D.L. Donoho, J. Tanner, Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci., 367(1906):4273–4293, 2009. 18. D.V. Hinkley, Inference about the change-point in a sequence of random variables, Biometrika, 57:1–17, 1970. 19. A.J. Scott, M. Knott, a cluster analysis method for grouping means in the analysis of variance, Biometrics, 30(3):507–512, 1974. 20. J. Chen, A.K. Gupta, Parametric Statistical Change Point Analysis, Birkhäuser, Boston, 2000. 21. M.A. Saunders, pdsco.m: MATLAB code for minimizing convex separable objective functions subject to Ax = b, x > 0, 1997–2001, http://www-leland.stanford. edu/group/SOL/software/pdsco/. 22. V. Veselý, framebox: MATLAB toolbox for overcomplete modeling and sparse parameter estimation, 2001–2011. 23. J. Zelinka, V. Veselý, I. Horová, Comparative study of two kernel smoothing techniques, in I. Horová (Ed.), Proceedings of the summer school DATASTAT'2003, Svratka, Folia Fac. Sci. Nat. Univ. Masaryk. Brun., Math., Vol. 15, Masaryk University, Brno, 2004, pp. 419–436. Nonlinear Anal. Model. Control, 2013, Vol. 18, No. 2, 177–190 190 J. Neubauer, V. Veselý 24. B. Efron, T. Hastie, I. Johnstone, R. Tibshirani, Least angle regression, Ann. Stat. 32(2):407– 499, 2004. 25. K. Koh, S.-J. Kim, S. Boyd, Software for `1 Trend Filtering, ver. May 2008, http://www.stanford.edu/∼boyd/l1_tf/. 26. W.J. Fitzgerald, Numerical Bayesion Methods Applied to Signal Processing, Springer, New York, 1996. 27. R. Garnett, M.A. Osborne, S. Reece, A. Rogers, S.J. Roberts, sequential Bayesian predictio in the presence of changepoints and faults. Computer J., 53(9):1430–1446, 2010. 28. V. Veselý, J. Tonner, Sparse parameter estimation in overcomplete time series models, Aust. J. Stat., 35(2–3):371–378, 2006. 29. M. Elad, Sparse and Redundant Representations: From Theory to Applications in Signal and Image Processing, Springer, New York, Dordrecht, Heidelberg, London, 2010. 30. V. Veselý, J. Tonner, Z. Hrdliˇcková, J. Michálek, M. Koláˇr, Analysis of PM10 air pollution in Brno based on generalized linear model with strongly rank-deficient design matrix, Environmetrics, 20(6):676–698, 2009. 31. O. Christensen, An Introduction to Frames and Riesz Bases, Birkhäuser, Boston, Basel, Berlin, 2003. 32. T. Hastie, B. Efron, lars: Least Angle Regression, Lasso and Forward Stagewise, R package version 1.1., ver. 2012, http://CRAN.R-project.org/package=lars. 33. R. Killick, I.A. Eckley, changepoint: An R package for changepoint analysis, R package version 0.7., ver. 2012, http://CRAN.R-project.org/package=changepoint. 34. J. Neubauer, J. Odehnal, Selected methods of economic time series analysis, in XX International Conference PDMU-2012: Problem of Decision Making under Uncertainties, University of Defence, Brno, 2012, pp. 151–160. 35. J. Neubauer, J. Odehnal, Detection of changes in time series of economic growth and military expenditure, in Recent Advances in Energy, Environment, Economic Development, WSEAS Press, Paris, 2012, pp. 350–355. 36. R Development Core Team, R: A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria, 2009, http://www.R-project.org. www.mii.lt/NA


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Homebuyers Guide To Houston Lofts
About 20 of Houston's 93 residential buildings are "Loft Buildings." Exposed ductwork, high ceilings, brick walls and open spaces are some of the unique characteristics that define a loft (vs. Houston Condos For Sale).
The majority of Houston's lofts are located:
- Downtown Houston
- Galleria Area
- Inner Loop (River Oaks / Montrose).
Lofts in Houston fall into two categories:
- Renovated Historic buildings (original banks, warehouses or commercial stores);
- Newer construction condos built "in a loft style."
Click on any Houston loft (listed on the right) to learn about that building and view all available Houston lofts for sale there.
Contact Paige Martin, Owner of HoustonProperties.com & Broker Associate at email@example.com or 713-384-5177 for help buying or selling a Houston loft or condo.
Houston Loft Resources


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The Samsung Keyboard Dock for ATIV Smart PC 500T & ATIV Smart PC Pro 700T in mystic blue is a 79-key keyboard designed to accompany a Samsung ATIV Smart PC 500T or Smart PC Pro 700T tablet. Using this physical keyboard with the tablet allows for a more spacious key layout than the integrated virtual keypad is able to provide. This can be a real time saver when typing long documents or emails using your tablet. Features of the dock include an integrated touchpad, two USB ports and hot keys for one-touch access. To start typing, simply snap the keyboard onto the tablet. The keyboard dock has a slim form factor and weighs just over a pound, allowing for easy portability.
|2 x USB
|12.0 x 7.5 x 0.9" (30.4 x 18.9 x 2.2 cm)
|1.6 lb (0.7 kg)
|Packaging Info
|Box Dimensions (LxWxH)
|13.7 x 9.0 x 1.5"


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Rabbit: What we need is another bee.
Mouse: Another bee? How are we going to do that? Why is Rabbit looking at me like that?
Mouse: (after Thunder smears honey on his feet) Honey, my favorite. (He licks off the honey)
Thunder: Mouse, that's for sticking you to the ground, not eating.
Mouse: Oh, sorry.
Rabbit: Time for a hop-think. The question is - how do we help Mouse stay on the ground so he can fly the flighty fly.
Mouse: Oh, my whiskers. Did you see that? I was almost gone with the wind.
Mouse: That flighty fly looks like more fun than a puddle of polliwogs.
Mouse: Have you ever really wanted to do something, but it seemed like you were just too small? That's what happened to me today. It all started with my friend Rabbit's new invention.
Mouse: So that's how we finally got to enjoy Batilda's story. Once we started thinking about why the bees were hanging around Edweena, we solved the problem. I guess sometimes it helps to look at things a new way.
Edweena: How's it going?
Thunder: Mouse looks just like a big bumblebee.
Thunder: Maybe bees only listen to other bees.
Mouse: Edweena left so we could hear the story, but now she can't hear it.
Rabbit: This isn't fair.
Mouse: They can't hear me over the bees!
Rabbit: What? Mouse, we can't hear you over the bees.
Rabbit: Just pretend the bees aren't here.
Mouse: I'll try, but their buzzing is really loud.
Edweena: Bees here. Here too. Yikes! More bees! They're everywhere.
Rabbit: Edweena, they're following you!
No results found.
No results found.
No results found.


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FBS: trade recommendation for GBP/USD
After having set a new high of the last 2 weeks at the level of $1.6525, the pair closed in the red on Friday, exactly at the $1.6300 handle.
Ichimoku indicator. This corrective recovery may be now over as on H4 theprices fell under the support of Tenkan and Kijun. And on H1 GBP/USD may slide to the negative area, below the Ichimoku Cloud.
Note that the Tenkan-sen and Kijun-sen formed a Dead Cross, and Chinkou Span crossed the price chart from top to bottom. It means that the market's bearish sentiment is strengthening.
Technical levels: support - $1.6235, $1.6260, $1.6400; resistance - $1.6340, $1.6410, $1.6360.
Trading recommendations:
1. Sell - $1.6340; SL - $1.6360; TP1 - $1.6260; TP2 - $1.6235.


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BEST WESTERN Kemaris
No prices found through our partners. Please contact the business directly or check some of our recommended alternatives.
How has this hotel rated in the past?
- Minbar in room
- Multilingual staff
- Wireless internet connection in public areas
- Non-smoking hotel
- Free High-Speed Internet
- High-speed internet in room
Photos of BEST WESTERN Kemaris
- Beach
- Bar/lounge
- Minbar in room
- Wireless internet connection in public areas
- Non-smoking hotel
- Free High-Speed Internet
- High-speed internet in room
- High-speed internet in room (free)
- Reduced mobility rooms
- Wireless internet connection in room (free)
- Breakfast Available
- Wheelchair accessibility
- Air-Conditioning
- Family rooms
- Multilingual staff
- Business Services
TravelPod Member ReviewsBEST WESTERN Kemaris Biarritz
Highly recommend..clean, friendly,great food...loved it..easy to get around the city
This review is the subjective opinion of a TravelPod member and not of TravelPod.com.
TripAdvisor Reviews BEST WESTERN Kemaris Biarritz
Travel Blogs from Biarritz
Au Revoir Biarritz. Hola San Sebastien
Apologies to the handful of people following, this blogger seems to have gone to sleep at his keyboard this week. Our seemingly relaxed week last week only got better this week and we are now well and truly in the basque spirit and loving every minute of it. This week has flown by with us doing not a whole lot. Cedric the Citroen has stayed in the driveway most of this week although there was some action when he was sideswiped by a bus on the way to St Jean de ...
San Sebastien to Zarautz, Spain
... We stopped at San Martin, a roadside Chapel to have lunch. The Chapel was built in the 13th Century and renovated in the 16 the century. We ate croissants with cream c Jamon ( pronounced Hahmon). Jamon is made from a black pig that has been fed acorns. The meat is cured with salt for 6 months and then hung for 4 years. Commonly found in the Basque region hanging in butcher shops and pinthos bars. It is amazingly tasty. Our final stage of the walk was ...
Biarritz, a day of shopping and just looking
... once again over happy, satisfied, and stuffed beyond words, after splitting the Baked Alaska, Biarritz style, 3 ways -- Jacques, of course, finishing the small bites that Marina and I could not finish. Adjourning to Frank's room, we said Bon Nuit, and adjourned to our separate rooms for a night of movie watching: Marina saw "The Great Gatsby" and I "The Bridesmaids". So soothing to lay in bed, watching an English speaking movie, and hear the pounding of the surf outside. Bon ...
A Rival for Amalfi
... sauna, then showered and walked down along the beach where we discovered a surfer shack that served the best cafe a la creme and had quiche with the only broccoli we've seen since we arrived! It could not have been a more perfect morning! We had to drag ourselves away from our seats on the ocean and began a walk that would last all day and would span over 10 miles with lots of stairs to climb! The beauty of Biarritz is astounding! The water is a deep blue and is ...
Lessons learnt so far
... is the worst airport in the world. Officially. 7. On Bastille day in Paris, every person in the whole city goes to see the fireworks over the Eiffel tower.� 8. Just because your French train ticket has a carriage and seat number this does guarantee a seat or carriage. 9. Alcohol induced benders until 3am combined with a 6am 5 hour train trip is unwise. 10. Michele Jackson is a bad influence (note: this lesson has been learned ...


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Definition of dinky
: overly or unattractively small drives a dinky little car; also, British : attractively small : cute
Examples of dinky in a Sentence
I used to drive a dinky little car.
recent college graduates crowding into a dinky New York City apartment
Origin and Etymology of dinky
Scots dink neat
First Known Use: 1880
DINKY Defined for English Language Learners
Definition of dinky for English Language Learners
: very small and not appealing
: small and appealing
DINKY Defined for Kids
Definition of dinky for Students
: very small and not impressive a dinky car
Learn More about dinky
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Week In Review
November 30, 2009
DOL Drops Controversial Advice Rule
Three days after saying it would delay the effective date to permit 401(k) plan administrators to offer investment advice, the Department of Labor decided to scrap the rule altogether. The third extension for the effective date would have been May 17, 2010.
The rule had been widely criticized as giving too much influence to fund companies that could push their own funds. The Department said it "decided to withdraw the rule based on public comments that raised sufficient doubts as to whether the conditions of the final rule and the class exemption associated with the rule could adequately protect the interests of plan participants and beneficiaries."
Instead, the Department said it will soon issue another rule that adheres more closely to the tenets of the Pension Protection Act.
As Jason C. Roberts, a partner with Reish & Reicher, said, "It seems like someone in Congress gave the order to stand down. They may want to put all of this as one big form of legislation instead of sorting it out in piecemeal, which makes sense."
ETFs' Liquidity Attracts More Investors in Crisis
Drawn by exchange-traded funds' transparency, liquidity and low fees, more institutional investors turned to these instruments during the crisis, Barclays Global Investors said in a report based on Thomson Reuters data.
Since 1997, the number of institutions investing in ETFs has risen 1,673% at an annual compound growth rate of 30%. Last year, ETFs took in $270 billion, while long-term mutual funds lost $117 billion. Retail and institutional fund managers make up 73.5% of the ETF customer base, followed by hedge funds, which comprise 15%. However, hedge funds' use of ETFs grew at an annual compound growth rate of 42% in that time.
And last week, the Investment Company Institute reported that assets in ETFs reached $691.39 billion in October, a 43% increase from the $482.32 billion invested in ETFs a year ago.
Barclays predicts the use of ETFs will rise even further in the years ahead as portfolio managers look for greater diversification at low cost. "We have found that many [fund managers] are admitting that they do not have the time nor the resources to add value in all markets and are embracing the use of ETFs to gain international market exposure," the report said.
The most popular ETF last year was the SPDR S&P 500 Fund, owned by 1,349 institutions, followed by the iShares MSCI EAFE Index Fund and the iShares MSCI Emerging Markets Index, each of which was held by approximately 800 institutions.
Brokers Want to Join Existing RIAs: Schwab
Less than half of full-service financial advisers (46%) who responded to a new Charles Schwab survey believed their employer's brand helped them acquire or retain clients, and 76% have had to explain to their clients why their firm is still a good place to invest. Nevertheless, 56% of the advisers surveyed were not ready to set up shop on their own, preferring instead to join an already existing RIA.
The majority of advisers (59%) at full-service financial firms said the idea of being an independent adviser appealed to them. What they liked: greater independence (51%), the opportunity for a larger annual income (47%) and the opportunity for long-term financial success (44%).
Although independence sounds tempting, respondents were not ready to start their own firms. They cited the lack of back-office support (55%), the difficulty of obtaining new clients (39%) and the lack of access to investment research and information (30%) as obstacles.
Americans Determined To Save Even More in 2010
Rather than being discouraged from saving as a result of the financial crisis, the market's 2008 decline and falling home values, these events have spurred more people into action. Seventy-five percent of 1,002 people surveyed by TDAmeritrade said one of their resolutions for 2010 will include a financial goal. Driving this figure overwhelmingly are minorities, with 56% of Hispanics and African Americans saying money-related issues will be one of their 2010 resolutions, compared with 32% of Whites.
Among the different age groups, 52% of people ages 18 to 34 said they are likely to make a New Year's resolution about personal finance, more than any other age group.
Sixty-six percent of women plan to save more in the coming year, up from 60% last year. The percentage of men who plan to increase savings, 59%, remained even with last year.
Asked specifically about retirement savings, being prepared is apparently a highly motivating factor, with 27% saying they plan either to start or continue retirement savings in the New Year, compared with 21% who had this goal in 2009. Twenty-two percent said they plan to start or build on an investment portfolio, compared to 13% in 2009.
"Investor confidence took a hit during the recession, but rather than feeling discouraged, people are using this as motivation to get on track and be better prepared for the future," noted Diane Young, director of retirement and goal planning for TDAmeritrade.
OppenheimerFunds Settles Oregon 529 Suit for $20M


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Currency Displayed in
Cockatiel bird food diet contains seeds, grains, and extruded morsels.
5 lb is repacked from bulk in sealed plastic bags.
Pretty Bird Food Cockatiel Ingredients
White Proso Millet, Safflower Seed, Wheat, Oat Groats, Flax Seed, Red Proso Millet, Canary Grass Seed, Flaked Corn, Green Oat Groats, Red Oat Groats, Pretty Bird Extruded morsels,( Corn, Oat Groats, Oats, Corn Gluten Meal, Fructose, Potato Protein, Calcium Carbonate, Dicalcium Phosphate, L-Lysine Monohydrochloride, Choline Chloride, Natural and Artificial Flavors, DL Methionine, Vitamin E Supplement, Ascorbic Acid (Vitamin C), Ferrous Sulfate, D-Biotin, Yucca Schidigera Extract, Zinc Oxide, Manganous Oxide, Niacinamide, Vitamin B12 Supplement, Mixed Tocopherols, Copper Sulfate, Citric Acid, Calcium Pantothenate, Sodium Selenite, Folic Acid, Riboflavin, Pyridoxine Hydrochloride, Thiamine Mononitrate, Natural and Artificial Colors, Menadione Dimethylpyrimidinol Bisulfite (source of Vitamin K3), Vitamin D3 Supplement, Cobalt Sulfate, Rosemary Extract).
Guaranteed Analysis
Crude Protein (min) 14%, Crude Fat/Oil (min) 9 %, Crude Fiber (max) 10 %, Moisture (max) 12%, Ash (max) 3.25%
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All Parrot Products is dedicated to providing the best parrot supplies, parrot food, parrot vitamins, for pet birds. We have a great rewards program and offer fast & free shipping within the 48 states including Puerto Rico.
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All Parrot Products carries Goldenfeast which is a great favorite of mine offering a seed based diet with greens, grains, fruit, and vegatables. With no dyes, or added vitamins.
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Because of the special needs of the Eclectus we have also labeled the foods that are safe for the Eclectus.
Please contact All Parrot Products if you have any questions or if I can be of any help.
Thank you for stopping bye.
All prices are in USD.


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Unfaithful (126 mins, 15) Directed by Adrian Lyne; starring Richard Gere, Diane Lane, Olivier Martinez
Roberto Succo (124 mins, 15) Directed by Cédric Kahn; starring Stefano Cassetti, Isild Le Besco, Patrick dell'Isola
Dragonfly (104 mins, 12) Directed by Tom Shadyac; starring Kevin Costner, Susanna Thompson, Joe Morton, Linda Hunt
What does these films have in common - Paul Schrader's American Gigolo (1980), Jim McBride's Breathless (1983), Jon Amiel's Sommersby (1993), Mark Rydell's Intersection (1994) and Adrian Lyne's Unfaithful? The answer is, first, that they're Hollywood versions of highly regarded French films - respectively Robert Bresson's Pickpocket (1959), Jean-Luc Godard's A bout de souffle (1960), Daniel Vigne's Le Retour de Martin Guerre (1982), Claude Sautet's Les Choses de la vie (1969)and Claude Chabrol's La Femme infidèle (1968). Second, they all star Richard Gere. Is there a pattern here, and are Gere and his collaborators hoping that a touch of Continental class will rub off on them?
La Femme infidèle was one of a series of superb thrillers that restored Chabrol's fading reputation in the lateSixties. Alvin Sargent, one of Hollywood's best screenwriters, and William Broyes Jr, a rather less distinguished writer, have transposed the story from Paris to New York and have been pretty faithful. The outline remains almost identical - an affluent middle-class housewife with a 10-year-old son is suspected by her loving older husband of having an affair. He hires a private detective to investigate, confronts the lover and in a moment of explosive anger accidentally kills him. He disposes of the body, the police investigate, and the wife gradually realises that he's the killer. In a perverse way her discovery renews their fading love.
The comparisons are fascinating and are not all in favour of the original. Chabrol's movie is a glacial, Hitchcockian movie about deception, in which all the emotions are to be seen below the calm haut-bourgeois surface like fish writhing beneath the ice of a frozen lake. Like virtually all Nouvelle Vague pictures, the eroticism is discreetly buried; we only see the heroine with her lover twice; he's a fatigued lothario and in their most erotic scene he serves her post-coital tea in bed. The story is pared down, with little in the way of social life, and the picture is embarrassingly replete with Sixties dolly birds.
Lyne's film is about the corrosive effects of adultery, and the screenplay has given the picture a sharper social dimension. Some smart touches heighten the suspense and increase the plausibility. Most significantly, the wife (Diane Lane, who did a terrific line in compulsive adultery a couple of years ago in A Walk on the Moon ) is seen to meet her lover early on - he's a young, attractive, slightly louche, French second-hand bookseller (Olivier Martinez), and their loving is mutually uninhibited. She should of course have been wary of a would-be lover giving her a copy of The Rubaiyat of Omar Khayyam.
Chabrol was (still is, at 73) the coolest, most formal Nouvelle Vague director. Lyne, on the other hand, is a gifted filmmaker, who learnt (in Keats's phrase) to load every rift with ore during the great days of television commercials, and his picture is stylistically somewhat cluttered. A frenetic sequence cross-cutting between a family Thanksgiving dinner and the imminent discovery of a wrapped-up corpse on a rubbish tip should have used a cinematic scalpel instead of a couple of municipal bulldozers. Yet this is a decent film, far superior to Lyne's Fatal Attraction, of which it is a distaff relative.
As the married couple under pressure Gere and Lane are most affecting, and much warmer than their French predecessors. Incidentally, this smooth American movie is the work of a British director (Lyne), a splendid British cinematographer (Peter Biziou) and a great British editor, Anne V. Coates. Why are they there when we need them here?
Cédric Kahn is best know for L'Ennui, a film version of an Alberto Moravia novel about a divorced Parisian philosophy professor obsessed to the point of madness with a vacuous, sexually insatiable teenager. In his new film, Roberto Succo, the Italian anti-hero is already insane when we first meet him. It's based on a non-fiction novel in an In Cold Blood vein by the French journalist Pascale Froment, which had a title that tells it all - Je te tue, Histoire vraie de Roberto Succo, assassin sans raison.
Succo was put in a hospital for the criminally insane in 1981 for the appalling murder of his mother (who had nagged him) and his policeman father in Mestre, the industrial suburb of Venice. Five years later he escaped and for three years went on a rampage in France, driving back and forth between the Mediterranean coast, where he had a flat, in Toulon, and Savoie, where he had a besotted 16-year-old girl-friend Léa. He abducted and raped women, robbed houses, and killed half-a-dozen people (including three cops) before he was eventually caught while returning to his late parents' house in Mestre, to visit the scene of his first crime. At times, he called himself Kurt and André, passing himself off as English and Dutch, and variously claimed to be a car salesman and a secret agent.
As played by the non-professional actor Stefano Cassetti, Succo looks like Dennis Hopper and Vincent Gallo at their most dangerously demented, and it seems the reason he was able to evade capture was the total unpredictability of his actions. There was also the little matter of a French prosecuting judge who refused a police request to go through Interpol to the Italian cops.
One sits fascinated for two hours watching the reptilian Succo in this cool, detached movie that keeps its worst violence off-screen and makes no judgments. As a way of keeping notions of motivation and background at bay, the police keep on describing him as crazy.
The most memorable scene comes when Succo abducts a middle-class woman in the Swiss countryside and forces her to drive through police cordons with a gun at her head. He's surprised that she isn't as terrified as other victims in this position, and she replies: 'I'm a teacher and I'm used to kids.'
Even more than a merry widow the cinema loves a grieving widower, especially those haunted by memories of their dead wives. Sometimes the haunting is literal, as in Blithe Spirit, where it's treated comically, or the recent Mothman Prophecies, in which it's approached in deadly earnest. In Mothman, an allegedly true story, sad widower Richard Gere gets occult messages that draw him to a town in Virginia. In the equally serious Dragonfly, something similar happens to Dr Joe Darrow (Kevin Costner) after the death of his pregnant wife, Emily, an idealistic Chicago oncologist, in a crash while doing good works in rural Venezuela. Her terminally ill child patients in Chicago give him strange messages from the world beyond, received during their near-death experiences. Even Costner's parrot, which won't normally talk to him, passes on coded news from his wife.
Shortly before the men in white coats arrive to take Costner away, he works out that his wife wants him to go to Venezuela. Waiting for him there with news and revelations is one of those colourful native tribes that exist for the sole purpose of easing the spiritual torment and restoring the faith in non-material things of jaded city folk.
The movie is directed by Tom Shadyac, whose previous credits include Ace Ventura: Pet Detective, Eddie Murphy's two Nutty Professor films, and Patch Adams. One supposes that in taking on Dragonfly Shadyac was seeking expiation and hoping to have spiritually renewing supernatural experiences of his own. The title refers to the dead woman's favourite insect, which apparently represents the shattering of illusions and the gateway to freedom in Indian folklore.


text:
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Found someone who is attractive to you? Send an email to them or just a wink and take it from there. With a little luck you'll be on your way to a lifetime of happiness.
And start dating


text: Brandon W. wrote an article on CNG vehicle use in Oklahoma City and Tulsa for a local magazine. This content was written in third-person neutral journalistic style, the parties mentioned were interviewed either in person or on the phone. These included state and local officials. It was an interesting experience, but not worth the pay.


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Rick Ross Sits With DJ Enuff & Angie Martinez "God Forgives, I Don't" (LIVE)
With Rick Ross set to drop "God Forgives, I Don't" Tomorrow! He sitting down with Angie Martinez and DJ Enuff to talk about the album and upcoming projects. It's not just on air but a straight live stream!
Watch live streaming video from hot97 at livestream.com


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How To Make A Fedora Hat Out Of Paper
If you are attending a costume party or trying to find a fun craft to do with the kids, why not learn how to make a fedora hat out of paper? You do not have to deal with needles or thread, and they take only a few minutes to create! They are also great if you need party hats for birthday parties. Here is how to make a fedora hat out of newspaper.
To make a fedora hat out of paper you will need:
- Newspaper
- Glue/Stapler
- Construction paper (optional)
- Rainy day
- Make the first fold. Take the top and bottom of the newspaper and fold it almost in half, leaving about one inch exposed.
- Second fold. Take the top corners and fold them down, much like when you used to make a paper airplane when you were a kid. Again, leave another inch above the first exposed inch. Now you have two inches left open at the bottom.
- Bring it in, then tuck. At both sides, bring them into the middle. If you have a larger head, don't bring in the middle as far in. Now, take the right and left bottom corners up to your middle crease. Tuck those into your middle crease. You almost know how to make a fedora hat out of paper.
- Third fold. Not the bottom exposed layered inch, but the one above it (the one in step two). Fold it up in a crease of about an inch.
- Folding it down. Fold top down and begin to fold it into the pocket you made previously, tucking all the sides into it. After they are all inside the pocket, secure it with glue or staple it all around.
Open the hat. Open up your new fedora hat by putting your hand inside of it from the bottom, as if it was a paper puppet. You can have hours of fun with your kids now that you know how to make a fedora hat out of paper.
- To really class up your act draw a feather out of construction paper. Staple it jauntily to one side of your most awesome fedora hat.
What Others Are Reading Right Now.
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Warning! 7 Lies All Women Tell Men
Prep for these fibs. Ladies will thank you, and that's the truth.
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The Takeaway
How Effective Was Paul Ryan's Convention Address?
Republican vice presidential candidate Paul Ryan headlined the Republican National Convention last night. Ryan is considered by many to be the face and brains of the party's political course. His pick as VP was seen as an attempt to energize voters and a way to shore up conservative support for Mitt Romney, who some Republicans find too moderate. Last night was perhaps his biggest stage of the entire election to accomplish both of those goals.
Republican political strategist Ron Christie watched Ryan's speech live from the Tampa Convention Center last night and gives us his reactions.
The Takeaway's Todd Zwillich takes a closer look at Ryan's statements and tells us if he played fast and loose with the facts.


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An embedded system for real-time navigation and remote command of a trained canine
- First Online:
- Received:
- Accepted:
DOI: 10.1007/s00779-010-0298-4
- Cite this article as:
- Britt, W.R., Miller, J., Waggoner, P. et al. Pers Ubiquit Comput (2011) 15: 61. doi:10.1007/s00779-010-0298-4
- Citations
- 283 Downloads
This paper demonstrates a capability to use a developed embedded sensor suite to consistently track the position, motion behavior, and orientation of a canine. Quantifying and recording canine position and motion in real time provides a useful mechanism for objective analysis of canine trials and missions. We provide a detailed description of the sensor equipment, including the global position satellite (GPS) receiver and antenna, accelerometers, gyroscopes, and magnetometers. Sensors beyond GPS provide for higher frequency readings, a tolerance to GPS loss, and the ability to characterize canine orientation. We demonstrate integrating sensor measurements using an Extended Kalman Filter (EKF) to estimate the canine position and velocity during temporary GPS loss. The system supports the remote actuation of tone and vibration commands and reports commands in real time alongside sensor data. This extends the range at which a handler could monitor a canine and allows enhanced trial analysis using raw sensor data and visualizations. To illustrate the system capabilities, we performed a case study in the remote command and navigation of a trained canine by a professional trainer. The results of this case study are analyzed in terms of canine trial success, motion behavior analysis, and in the context of simulated GPS losses. We discuss other potential applications of the system in autonomous canine command, canine motion analysis, and non-canine applications.


text: Plot: After miraculously remaining 29 years old for almost eight decades, Adaline Bowman has lived a solitary existence, never allowing herself to get close to anyone who might reveal her secret. But a chance encounter with charismatic philanthropist Ellis Jones reignites her passion for life and romance. When a weekend with his parents threatens to uncover the truth, Adaline makes a decision that will change her life forever. Genre: Drama, Romance IMDB Rating: 7,3/10 from 35.852 users Metascore: 51/100 Directed by: Lee Toland Krieger Starring: Blake Lively, Michiel Huisman, Harrison Ford Release Name: The.Age.Of.Adaline.2015.BRRip.XViD-ETRG Size: 700 MB Video: AVI | 640 x 352 | 746 Kbps Audio: English | MP3 | 112 Kbps Runtime: 112 mins Information: Code: http://www.imdb.com/title/tt1655441/ Code: Download from NITROFLARE http://nitroflare.com/view/33D861B383F12F3/The.Age.Of.Adaline.2015.BRRip.XViD-ETRG.avi Code: Download from REDBUNKER http://www.redbunker.net/fqxv01dhkpn2/The.Age.Of.Adaline.2015.BRRip.XViD-ETRG.avi.html Screens: NFO:


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Welcome to Capital Harley-Davidson
We strive to fulfill every customer's expectations and dreams of motorcycling, and to be the dealer of choice in the Central West
It's all about you & your bike
Our team comprises of factory-trained, dedicated skilled technicians who are committed to providing our motorcycling community with the highest level of service. Our Fabulous Team offers you:
- A total commitment to personalised customer service
- Extensive industry experience and product knowledge
- Qualified, highly skilled service personnel
- Harley-Davidson's latest servicing technology and equipment
- Our Online Store supplies Parts, Accessories and Merchandise throughout Australia
- A customer lounge whilst you wait
- A demo bike to ride whilst you're bike is serviced, or a car if you prefer
- Insurance Repairs
- Finance and Insurance
- Demo bikes available
Scheduled Servicing
Not Just an Oil Change! Find out what's carried out on your model Harley-Davidson in a Scheduled Service:
- Dyna
- Softail
- Sportster
- Street 500
- Tourer
- V-Rod
- Advanced diagnostics
- Performance upgrades
- Insurance Repairs
Repairers Licence No: MVRL25069
Licenced Motor Dealer No: 12860
To find out more, give us a call on 02 6369 1903


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Oasis Studios is located 3 km from the centre of Kos Town and 1 km from Lambi beach. Distance to Airport is 30 km.
The property offers following services and facilities restaurant, swimming pool, sun terrace, bar and WiFI. All studios have bathroom with shower, WC, dining area, kitchenette, mini-fridge, coffee maker, electric kettle, fan and balcony or terrace. **Arrivals outside reception opening hours will find a note at the reception in order to receive the key. While booking this hotel you are requested to send your flight number and arrival time.** ** Please note that some of the above facilities may be closed due to weather, seasonal conditions.** Address: Peleziki, Kos Town, Kos island, Greece.
Peleziki, , 85300 Kos Town, Kos island, Greece
|Wireless Internet (WiFi)
|Distance to center
|3 km
|Distance to airport
|30 km
|Distance to beach
|1 km


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Penultimate Session
I honestly didn't expect Drew to be as grumpy as he was that day. As if he had been forced into returning to these club-meets, Drew slumped down into the seat beside me with no hello and barely more than a glance towards my face. Despite that, I pulled my shoulders back and looked calmly at my hands, waiting in silence for the other members to arrive. My minibus had arrived earlier than normal, and so had Drew's, for I saw him leave it, but obviously he had been delayed by something to be this late in comparison with me.
I tired not to cast my eyes in his direction, but slowly I found myself watching Drew more and more, tucking a strand of my limp fringe behind my ear as I did so. There were things I wanted Drew to notice today, little things about my appearance that I wanted him to see. I had purposely rubbed a brush of blue eye-shadow gently over my lids, not to appear pretty or to attract him, but to make it so that he would have to take notice of me, even if the change made him confused. He could not be as confused as I was at that minute when the blush returned to my cheeks, deciding to stay throughout the hour.
At least, this time, I had made an effort, and, after missing the last two sessions, I needed to, not just with Drew but with the rest of the class. I noticed looks of sympathy from some of the girls across the room; blank faces were my other presents, as if those pupils had not even noticed my existence before today. Little good it would do them.
"So, Drew." I swung myself to face him. "What have we been up these last couple of weeks?"
"You tell me."
"You haven't been here?"
He shrugged and turned away. Gritting my teeth slightly, I did the same.
Mr. Stevans began to chat in his usual garish way about the next project that we were going to complete in this and the last week. I sat and listened for once, my hands patiently folded into my lap. I would not let Drew see the way my recently-painted nails dug into my palms. This frustration would not get the better of me. That I had promised myself.
"Now, ladies and gentleman, we have been charged with designing a set of advertisements for this joint-schools scheme. All the advertisements will be sent to each of the five schools so that they will be able to raise awareness of this scheme in their own communities. It is my hope- as well as the hope of many of the staff here- that we will be able to do this again with a different year-group.
"To complete my idea, I'm going to split you into three groups. The first will work on designing posters to be printed out at the end of next session. The second will have a go at making a leaflet that outlines the core aspects of what we do, especially in Computer Studies club. Ha! And…the third will work on designing a website or two that will include quotes from members of the clubs, highlight what we have been up to, and have some delightful pictures. I'm looking for slogans too, people! Witty, sensible slogans."
He then proceeded around the classroom from group to group, giving each pair a number, one, two, or three; my eyes followed him nervously, for posters were not my thing, and I didn't count on enjoying scripting a leaflet. However, luck was on my side today.
"Annabelle, Drew. I hope you're both better and raring to go. I've an exciting task for you guys: designing the website. You'll find all you need on the database, under 'CS- club pictures.'"
"Thanks, Mr. S," I chirped politely.
After Mr. Stevans had trundled off, I spotted Drew rolling his eyes.
"Great!" I heard him remark beside me.
I addressed the computer, my eyes fixed to the log-in screen.
"Don't be so pessimistic. I think poster work is far more drear than designing something that can be accessed by all online."
"Oh, 'more drear' is it?"
"Drearier," I corrected myself, but I knew that it was not my grammar he was mocking, but my vocabulary. I took another deep breath. "Look, Drew, I don't want to argue with you again. I know that even you can admit that internet work is something that we both are good at, despite the differences in schooling."
"Yeah, you like school; I don't."
Finally, I shot him a glare.
"Just get calculating the HTML, will you? Right now, I think we owe something to the club by our absences."
Once again, he had not failed in making my blood boil. However, encouraged by the words of Mr. Stevans complimenting my choice of baby-blue background colour, I put all my effort into making this website the best I had ever done. I had learnt a lot since this wild idea had begun, even if none of it involved Computer Studies.


text:
Illinois Public Media News
In-depth reporting from WILL, NPR, the Associated Press, and other sources
Contact WILL News at email@example.com
August 21, 2013
(Rowland Scherman)
August 21, 2013
At 1963 March, A Face In The Crowd Became A Poster Child
(AP Photo/Local Committee of Arbeen)
August 21, 2013
Syria Conflict: 'Chemical Attacks' Kill Hundreds
Page 578 of 1156 pages ‹ First < 576 577 578 579 580 > Last ›
WILL Newscast audio
NPR News
NBA Says 2019 All-Star Game Will Be In N.C. After Partial 'Bathroom Bill' Repeal
What We Know About The Suspect In The Manchester Arena Bombing
Vermont's Governor Vetoes Recreational Pot Bill
Everest Death Toll Rises To 10 This Season After 4 More Climbers Found Dead
Hot Tip On Old Heist Could Be Worth $10 Million, Gardner Museum Says
After Botched Raid, Philippines Tries To Reclaim A City Under Siege
'Top Gun 2' Means One More Ride Into The Danger Zone
Taiwan's High Court Rules Same-Sex Marriage Is Legal, In A First For Asia
'He Is Something': Trump Visits Pope Francis At The Vatican
What Does It Mean When ISIS Claims Responsibility For An Attack?
More NPR News
WILL Highlights
A short film series examining the severe underrepresentation of African-Americans in the sciences.
Classic Mornings
Get more out of your classical music experience and check out Vic Di Geronimo's blog.
The 21st
21st century radio for the 21st state. Weekdays at 11 am on WILL-AM 580.


text:
Two Men
Company Description: TWO MEN AND A TRUCK®, Movers, Moving Company, Moving Reviews
3400 Belle Chase Way Lansing, MI 48911
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text:
Please, please, all Catholic women out there who are planning to vote for the GOP presidential ticket because you think Hillary kills babies: harken to the revelation that Trump feels stars have the power to do "anything" they want.
Read Whole Story
The political party which cares passionately about the lives of the unborn, lacks the same interest in advocating on behalf of America's disadvantaged population. On the other hand, the political party which demand's abortion rights, works tirelessly on behalf of the vulnerable in society.
The recent decision on contraception was not about the sanctity of human life, non-interference in religious freedom, or scriptural high ground. It was a victory, pure and simple, for those who want to control women's bodies.
I do not know what the answer is for bringing peace to the Near East, and I do not think anyone else, regardless of his or her knowledge and experience, has the answer. But this I am sure of: it will take patience and determination over a long period of time.
A larger view of life, as seen through the eyes of Jesus, informs us that the life of a homeless person begging on the street corner is just as sacred as the life of a president of the state.
Abortion foes believe killing in war is justified, as is lethal injection for convicted criminals and they are almost universally in favor of the death penalty.
The stem cell ban imposed by Bush was based on an untenable moral framework compounded by biological illiteracy and religious zeal. It might be appropriate to the Taliban but not for us.
Get top stories and blog posts emailed to me each day. Newsletters may offer personalized content or advertisements. Learn more.


text:
Best Western Providence-Seekonk Inn
Select your stay dates to check availability at Best Western Providence-Seekonk Inn
Best Western Providence-Seekonk Inn
About the Hotel
Property Location
With a stay at Best Western Providence-Seekonk Inn in Seekonk, you'll be minutes from Seekonk Grand Prix and close to Fantasyland. This hotel is within close proximity of Seekonk Speedway and Monster Mini Golf.
Make yourself at home in one of the 50 air-conditioned rooms featuring refrigerators and microwaves. Wired and wireless Internet access is complimentary, while iPod docking stations and cable programming provide entertainment. Private bathrooms with shower/tub combinations feature designer toiletries and hair dryers. Conveniences include desks and complimentary newspapers, as well as phones with free local calls.
Don't miss out on recreational opportunities including an indoor pool and a fitness center. This hotel also features complimentary wireless Internet access and a fireplace in the lobby.
A complimentary hot/cold buffet breakfast is included.
Business, Other Amenities
Featured amenities include complimentary high-speed (wired) Internet access, a 24-hour business center, and limo/town car service. Free self parking is available onsite.
Hotel Facilities
- Accessible bathroom
- Number of floors - 3
- Luggage storage
- One meeting room
- Free WiFi
- Limo or Town Car service available
- Express check-out
- ATM/banking
- Indoor pool
- Multilingual staff
- Free self parking
- Total number of rooms - 50
- In-room accessibility
- Year Built 2007
- 24-hour front desk
- Fireplace in lobby
- Dry cleaning/laundry service
- Free breakfast
- Coffee/tea in common areas
- Fitness facilities
- Free newspapers in lobby
- Number of buildings/towers - 1
- Laundry facilities
- Smoke-free property
- 24-hour business center
- Free wired high-speed Internet
- Free RV, bus, truck parking
- Elevator/lift
- Safe-deposit box at front desk
Room Facilities
- Daily housekeeping
- In-room climate control (air conditioning)
- Iron/ironing board
- Hypo-allergenic bedding available
- Free newspaper
- iPod docking station
- Premium bedding
- Phone
- Desk
- Coffee/tea maker
- Free local calls
- Private bathroom
- Rollaway/extra beds (surcharge)
- Designer toiletries
- Air conditioning
- Free WiFi
- Shower/tub combination
- Hair dryer
- Cable TV service
- Microwave
- Down comforter
- Refrigerator
- Free wired high-speed Internet
Hotel Policy
The following fees and deposits are charged by the property at time of service, check-in, or check-out.
- Rollaway beds are available for an additional fee
The above list may not be comprehensive. Fees and deposits may not include tax and are subject to change.Show all hotel policy Show less hotel policy


text:
Motherwell motorists worst in the UK for mobile phone use
A DVLA spokesperson stated: Using a mobile phone and also various other hand-held gadgets, whilst driving, is a criminal offense. Researches have actually revealed this to be a major roadway safety threat. If this takes place whilst driving a big car such as a bus or truck, the danger is also higher.
Worcester as well as Essex had the least variety of motorists with the offense on the document with simply 0.21 percent in the locations captured.
Vehicle drivers in Scotland are the most awful in Britain for utilizing their mobile phone while behind the wheel.Information gathered by the DVLA has actually identified an awful location in Britain for driving offense code CU80 in addition to commending the best locations as well.
Mobile phone restriction to elevate money for Addenbrooke's Healthcare facility
The group has actually approved just what presumably looks a Mission Impossible by accepting rebuff the ringtone for a day to increase money for the health centers # 250Challenge.
Sandra Myers, the charity s acting president, describes the believing behind the fund: Over the last 2 years, Addenbrooke's Charitable Trust has actually invested 457,000 on efforts in order to help Addenbrooke's remain at the center of clinical and also research study developments.
On the checklist is a movement capture lab, part-funded by the Ministry of Defense, to sustain follow-up treatment for ex-service employees with prosthetic arm or legs.
Software application defect places cellphones and also networks in danger of total requisition
The insect stays in a code collection made use of in a wide variety of telecommunication items, consisting of radios in cell towers, routers, as well as changes, along with the baseband contribute specific phones. Manipulating the load overflow susceptibility would certainly call for excellent ability as well as sources, assailants that took care of to prosper would certainly have the capability to implement harmful code on essentially all of those tools. The code collection was created by Pennsylvania-based Objective Systems as well as is made use of to apply a telephone systems criterion called ASN.1, brief for Abstract Syntax Notation One.
Currently, just equipment from equipment manufacturer Qualcomm is recognized to be impacted, according to this advisory from the Department of Homeland Securitybacked CERT. Scientists are still functioning to identify if a lengthy checklist of various other manufacturers consisting of AT&T, BAE Systems, Broadcom, Cisco Systems, Deutsche Telekom, as well as Ericsson are likewise influenced. For the minute, there's little end customers could do to insulate themselves from the risk apart from to check advisories from tool manufacturers and also service providers Onrecycle .


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from £61 / night help Price for guests, Nights approx:
Mallorca II Atico Penthouse, Alcossebre, Spain – Home 10224 Penthouse
- 3 bedrooms
- 6 sleeps
- 7 nights min stay
Mallorca II Atico Penthouse, Alcossebre, Spain – Home 10224
- Penthouse
- 3 bedrooms
- sleeps 6
- 7 nights min stay
Top Review
Penthouse / 3 bedrooms / 2 bathrooms / sleeps 6
Key Info
- Beach / lakeside relaxation
- Nearest beach 0.2 km
- Swimming pool
- Child friendly
- Car advised
- No pets allowed
Description from owner
Within a small securely gated complex with a communal pool, the Mallorca Atico Penthouse is situated only 150 mtrs. from the Mediterranean Sea, on the third floor in a block of only five apartments. The penthouse is spread over two floors with approx. 140 sq. mtrs. of total living space (extremely spacious for an apartment). Each floor has its own terrace - one with a built in barbecue area - and both terraces have stunning, uninterrupted views of the Mediterranean Sea & Alcossebre coastline. Perfectly located - the Marina and all bars, restaurants, shops and beaches are within minutes easy walking distance . The penthouse also benefits from independent Wi-Fi which can be accessed on both floors. This is a real "home from home" property - not the usual soulless rental apartment!!
Further details indoors
Inside a small securely gated complex with a communal pool, the Mallorca Atico Penthouse is a very spacious, three bedroom 'duplex' apartment,
Within a small securely gated complex with a communal pool, the Mallorca Atico Penthouse is situated only 150 mtrs. from the Mediterranean Sea, on the third floor in a block of only five apartments. The penthouse is spread over two floors with approx. 140 sq. mtrs. of total living space (extremely spacious for an apartment). Each floor has its own terrace - one with a built in barbecue area - and both terraces have stunning, uninterrupted views of the Mediterranean Sea & Alcossebre coastline. Perfectly located - the Marina and all bars, restaurants, shops and beaches are within minutes easy walking distance . The penthouse also benefits from independent Wi-Fi which can be accessed on both floors. This is a real "home from home" property - not the usual soulless rental apartment!!
Further details indoors
Inside a small securely gated complex with a communal pool, the Mallorca Atico Penthouse is a very spacious, three bedroom 'duplex' apartment, situated only approx. 150 meters from the Mediterranean Sea.
Perfectly positioned on the seafront, between the bustling little town of Alcossebre and the marina at Las Fuentes, all five of the areas 'blue flag' beaches, shops, restaurants and bars are within just a few minutes' easy walking distance.
On the third floor in a block of only five apartments, the generous accommodation spans two floors with approx. 140sq mtrs of living space. Each floor has its own terrace and both terraces have stunning, uninterrupted views of the Mediterranean Sea and Alcossebre coastline.
On entering the penthouse you walk into a bright and spacious living/dining area, with comfortable seating for six people, English Satellite TV and an open fireplace. The dining area has a table with chairs and comfortably seats six people. From the living/dining area double patio doors lead out onto the large lower terrace.
The lower terrace is furnished with a large table and six chairs and also benefits from a built in barbecue area, making it excellent for dining outside. This terrace is also partially covered by the upper floor, which makes it a comfortable place to sit and relax out of the glare of the sun, while enjoying the beautiful view of the sea and watching the world go by below you.
Back inside, leading off the living/dining area there is a large, separate well equipped kitchen. With a ceramic electric hob, oven, kettle, microwave, toaster and fridge/freezer all your catering needs are taken care of. A washing machine, iron and ironing board are also provided in the kitchen, eliminating the need for you to pack and carry excessive amounts of clothing.
One of the twin bedrooms is also situated on the first floor, with a built in double wardrobe with drawers and patio doors which also step out onto the lower terrace. The first floor also houses the bathroom, with a bath and overhead shower, washbasin, bidet & WC.
Two short flights of stairs take you up to the second floor, which has its own shower room with an enclosed shower, washbasin & WC.
The remaining bedrooms, one double and one twin, are also on this floor and both have built in double wardrobes with drawers and patio doors which lead out on to the upper terrace.
The upper terrace has a variety of uses... the two sun loungers make this an ideal place for sunbathing in privacy. You could also make use of the table and two chairs for some 'quiet' time or a peaceful evening drink watching the sun set over the sea. (It's also an ideal place for drying the washing.)
This is a real 'home from home' property and NOT the usual 'soulless' rental apartment.
Outside the apartment, the regularly maintained communal pool and gardens are within a securely gated area. Plenty of car parking spaces are available in the areas around the complex.
Children are welcome (cot available), but pets are not allowed inside the complex.
Further details outdoors
Situated on the Paseo Maritima between Alcossebre and the marina at Las Fuentes on the 'Orange Blossom Coast' in the Castellon region, just an hours drive north of Valencia, and an hours drive south from Reus (Barcelona) airports. Only ten minutes walk away from the Sierra de Irta national park, which has public footpaths to take you through the park. There are also five 'blue flag' beaches along the coastline, with trampolining & volleyball in the summer. For the evenings, there are plenty of quiet bars & restaurants within close proximity. The bustling little towns facilities include, shops, banks, tourist information centre and internet cafes. In neighbouring Benicassim there is a large splash park ideal for the children. Two 18 hole golf courses are within 40 minutes drive from the town. A large Go-Karting track is situated on the outskirts of Peniscola just 10 minutes way from Alcossebre.
Location description from owner
The Valencian Country region
Costa Azahar - The "Orange-Blossom-Coast", in the north of Valencia, not only offers great beaches but also beautiful towns such as Peñiscola with its great medieval castle or Oropesa, which conserves the 16th century Tower of the King, erected as a defense against pirates. A true pearl is the enchanting Morella with its narrow lanes, enclosed by 14th century walls.
Monuments and places of interest: The Concatedral Cathedral, Fadri and the Observatory (Castellón), Museum of Contemporary Art (Vilafames), Papa Luna castle (Peníscola), Benicassim villa, the King tower and Oropesa castle, the castle and walls of Morella, the Orange Museum (Burriana), the Roman arch (Cabanes) and the Ceramics Museum (Alcora)
Beaches: Benicassim, Castello-Grao, Alcossebre, Peniscola, Oropesa, Torreblanca, Benicarló y Vinarós.
Festivities: San Antonio (17th of January) in Benicassim, Vinarós carnivals, Magdalena (Castellón, March), San Juan (24th of June), Oropesa fiestas (25th of July), Santo Tomás (22nd of September) in Benicassim, 9th of October and Peníscola fiestas (7th to 16th of October).
Location: The Castellón coast is located on the east side of Spain. Castellón is the capital of the province and lies 65km north of Valencia, 414 km east of Madrid and 214 km south of Barcelona
The climate in this area of Spain averages around 30 centigrade in the summer months and around 18 centigrade in the winter.
The proximity to the sea and the mountains is what characterises Alcoceber, a municipality that has as standard, its high steeple, its old quarter, and a coastal area called Las Fuentes. Ten kilometres of beaches and coves can be contemplated from the splendid viewpoints offered by the mountains, with the natural resort Sierra d´Irta as a background setting. Continuous contrasts located in a rich landscape.
The natural resort, Sierra de Irta is an excellent natural sport area in which to practice trekking, as it rewards its visitors with excellent views, and is only a ten minute walk from the Penthouse. There are also diverse monuments to visit like "Font de la Parra". The vegetation is rich and varied, with varieties of vegetation that have made it worthy of protection for its ecological importance. Rosemary, Lavender, Thyme and other aromatic plants offer their bouquet to passing visitors. Arbutus, Junipers, Camomile and Rock Tea appear along countless marked routes. From the sand at Las Fuentes beach, emerge sources of fresh water, while the coastline makes dunes along the unique Carregador and Romana beaches, which boast a surface area of 6.000 square meters.
The municipality however does offer other alternatives: a port and a sports centre that offers diving, gives visitors the chance to practice nautical sports such as sailing or scuba diving, and to discover, for example, the Columbrete Islands which are a natural park. There is also a sports club with tennis courts, swimming pool, and other recreational facilities such as both indoor and outdoor football.
Templario Castle is well positioned high up in the Sierra de Irta, dominating the plains and the sea. The site has been used as a settlement from as far back as several centuries before Christ. Its structure and functionality have varied along with the passing cultures, but there remain two well differentiated parts that can be observed: Arabic and the Christian, which can be seen in the Muslim domestic architecture and the Templar fortress, and at the highest point, where the chapel once was.
The Mallorca II apartments are ideally situated on the seafront inbetween Las Fuentas Marina and the town of Alcossebre, therefore all the bars, restaurants, supermarkets and the areas five 'blue flag' beaches are all within easy walking distance.
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- Great for children of all ages
- No pets allowed
- Cot available
Bed & bathroom
- Bedroom 1: 2 Single Beds
Bedroom 2: Double Bed
Bedroom 3: 2 Single Beds
- 1 Family bathroom, 1 Shower room
- Shared outdoor pool (unheated)
- Shared garden
- Solarium or roof terrace
- Balcony or terrace
- Sea view
- Internet access
- Fireplace
- Cooker
- Fridge
- Freezer
- Microwave
- Toaster
- Kettle
- Washing machine
- Iron
- Satellite TV
- DVD player
- Hair dryer
- Linen provided
- Towels provided
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- Parking
- Not suitable for wheelchair users
- Payment
- To be covered by Payment Protection this rental needs to be paid for online through Holiday Lettings using your credit/debit card or PayPal. Never pay for your holiday rental by wire transfer (such as Western Union or Moneygram) as this type of payment is untraceable.
- Smoking
- No smoking at this property
- Cancellation policy
View Policy
About the owner
Christopher W.
- Response rate:
- 67%
- Calendar updated::
- 02 May 2017
- Years listed:
- 11
- Based in:
- France
- Overall rating:
Languages spoken: English, French
This Penthouse has 3 bedrooms, 2 bathrooms and sleeps 6. It's been listed on Holiday Lettings since 14 Mar 2006. Located in Province of Castellon, it has 1 review with an overall rating of 5. The average weekly rate varies from £345 to £680.
The Owner has a response rate of 67% and the property's calendar was last updated on 02 May 2017.
Map and how to get there
Guest reviews
– based on 1 review
1 review
- Excellent
- 1
- Very Good
- 0
- Average
- 0
- Poor
- 0
- Terrible
- 0
"Wonderful sea views, plenty of space, great location."
A spacious flat - we were a family of two adults and two children (6&4yrs) plus an aunt - with ample eating space both inside and outdoors on the balcony. Swimming pool lovely with grass area also good for children. Comfortable walking distance to shops and restaurants. Great jogging route up to lighthouse along coast.
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