


'''simple docstring'''



from scipy.stats import spearmanr

import datasets


__A		='\nThe Spearman rank-order correlation coefficient is a measure of the\nrelationship between two datasets. Like other correlation coefficients,\nthis one varies between -1 and +1 with 0 implying no correlation.\nPositive correlations imply that as data in dataset x increases, so\ndoes data in dataset y. Negative correlations imply that as x increases,\ny decreases. Correlations of -1 or +1 imply an exact monotonic relationship.\n\nUnlike the Pearson correlation, the Spearman correlation does not\nassume that both datasets are normally distributed.\n\nThe p-value roughly indicates the probability of an uncorrelated system\nproducing datasets that have a Spearman correlation at least as extreme\nas the one computed from these datasets. The p-values are not entirely\nreliable but are probably reasonable for datasets larger than 500 or so.\n'

__A		='\nArgs:\n    predictions (`List[float]`): Predicted labels, as returned by a model.\n    references (`List[float]`): Ground truth labels.\n    return_pvalue (`bool`): If `True`, returns the p-value. If `False`, returns\n            only the spearmanr score. Defaults to `False`.\nReturns:\n    spearmanr (`float`): Spearman correlation coefficient.\n    p-value (`float`): p-value. **Note**: is only returned if `return_pvalue=True` is input.\nExamples:\n    Example 1:\n        >>> spearmanr_metric = datasets.load_metric("spearmanr")\n        >>> results = spearmanr_metric.compute(references=[1, 2, 3, 4, 5], predictions=[10, 9, 2.5, 6, 4])\n        >>> print(results)\n        {\'spearmanr\': -0.7}\n\n    Example 2:\n        >>> spearmanr_metric = datasets.load_metric("spearmanr")\n        >>> results = spearmanr_metric.compute(references=[1, 2, 3, 4, 5],\n        ...                                     predictions=[10, 9, 2.5, 6, 4],\n        ...                                     return_pvalue=True)\n        >>> print(results[\'spearmanr\'])\n        -0.7\n        >>> print(round(results[\'spearmanr_pvalue\'], 2))\n        0.19\n'

__A		=R'\\n@book{kokoska2000crc,\n  title={CRC standard probability and statistics tables and formulae},\n  author={Kokoska, Stephen and Zwillinger, Daniel},\n  year={2000},\n  publisher={Crc Press}\n}\n@article{2020SciPy-NMeth,\n  author  = {Virtanen, Pauli and Gommers, Ralf and Oliphant, Travis E. and\n            Haberland, Matt and Reddy, Tyler and Cournapeau, David and\n            Burovski, Evgeni and Peterson, Pearu and Weckesser, Warren and\n            Bright, Jonathan and {van der Walt}, St{\'e}fan J. and\n            Brett, Matthew and Wilson, Joshua and Millman, K. Jarrod and\n            Mayorov, Nikolay and Nelson, Andrew R. J. and Jones, Eric and\n            Kern, Robert and Larson, Eric and Carey, C J and\n            Polat, {\.I}lhan and Feng, Yu and Moore, Eric W. and\n            {VanderPlas}, Jake and Laxalde, Denis and Perktold, Josef and\n            Cimrman, Robert and Henriksen, Ian and Quintero, E. A. and\n            Harris, Charles R. and Archibald, Anne M. and\n            Ribeiro, Ant{\^o}nio H. and Pedregosa, Fabian and\n            {van Mulbregt}, Paul and {SciPy 1.0 Contributors}},\n  title   = {{{SciPy} 1.0: Fundamental Algorithms for Scientific\n            Computing in Python}},\n  journal = {Nature Methods},\n  year    = {2020},\n  volume  = {17},\n  pages   = {261--272},\n  adsurl  = {https://rdcu.be/b08Wh},\n  doi     = {10.1038/s41592-019-0686-2},\n}\n'


@datasets.utils.file_utils.add_start_docstrings(_DESCRIPTION    ,				_KWARGS_DESCRIPTION		)
class 						_snake_case   (       datasets.Metric		):




     def 			snake_case__  ( self):
        return datasets.MetricInfo(
            description=_DESCRIPTION							,							citation=_CITATION							,							inputs_description=_KWARGS_DESCRIPTION							,							features=datasets.Features(
                {
                    """predictions""": datasets.Value("""float"""),
                    """references""": datasets.Value("""float"""),
                })							,							reference_urls=["""https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.spearmanr.html"""]							,							)




     def 			snake_case__  ( self							,							_lowerCamelCase							,							_lowerCamelCase							,							_lowerCamelCase=False):
        UpperCAmelCase__					:   str       				=       spearmanr(lowercase__							,							lowercase__)
        if return_pvalue:
           return {"spearmanr": results[0], "spearmanr_pvalue": results[1]}
        else:
           return {"spearmanr": results[0]}



'''simple docstring'''



import numpy


class 						_snake_case   :




					def __init__( self							,							_lowerCamelCase							,							_lowerCamelCase):
								UpperCAmelCase__					:   Dict       				=       input_array

								# Random initial weights are assigned where first argument is the
								# number of nodes in previous layer and second argument is the
								# number of nodes in the next layer.

								# Random initial weights are assigned.
								# self.input_array.shape[1] is used to represent number of nodes in input layer.
								# First hidden layer consists of 4 nodes.
								UpperCAmelCase__					:   Optional[Any]       				=       numpy.random.rand(
								    self.input_array.shape[1]							,							4)

								# Random initial values for the first hidden layer.
								# First hidden layer has 4 nodes.
								# Second hidden layer has 3 nodes.
								UpperCAmelCase__					:   Optional[int]       				=       numpy.random.rand(
								    4							,							3)

								# Random initial values for the second hidden layer.
								# Second hidden layer has 3 nodes.
								# Output layer has 1 node.
								UpperCAmelCase__					:   Any       				=       numpy.random.rand(3							,							1)

								# Real output values provided.
								UpperCAmelCase__					:   Tuple       				=       output_array

								# Predicted output values by the neural network.
								# Predicted_output array initially consists of zeroes.
								UpperCAmelCase__					:   Union[str, Any]       				=       numpy.zeros(output_array.shape)




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   List[str]       				=       sigmoid(
								    numpy.dot(self.input_array							,							self.input_layer_and_first_hidden_layer_weights))

								# layer_between_first_hidden_layer_and_second_hidden_layer is the layer
								# connecting the first hidden set of nodes with the second hidden set of nodes.
								UpperCAmelCase__					:   Any       				=       sigmoid(
								    numpy.dot(
								        self.layer_between_input_and_first_hidden_layer							,							self.first_hidden_layer_and_second_hidden_layer_weights							,							))

								# layer_between_second_hidden_layer_and_output is the layer connecting
								# second hidden layer with the output node.
								UpperCAmelCase__					:   Tuple       				=       sigmoid(
								    numpy.dot(
								        self.layer_between_first_hidden_layer_and_second_hidden_layer							,							self.second_hidden_layer_and_output_layer_weights							,							))

								return self.layer_between_second_hidden_layer_and_output




					def 			snake_case__  ( self):
								UpperCAmelCase__					:   Optional[int]       				=       numpy.dot(
								    self.layer_between_first_hidden_layer_and_second_hidden_layer.T							,							2
								    * (self.output_array - self.predicted_output)
								    * sigmoid_derivative(self.predicted_output)							,							)
								UpperCAmelCase__					:   str       				=       numpy.dot(
								    self.layer_between_input_and_first_hidden_layer.T							,							numpy.dot(
								        2
								        * (self.output_array - self.predicted_output)
								        * sigmoid_derivative(self.predicted_output)							,							self.second_hidden_layer_and_output_layer_weights.T							,							)
								    * sigmoid_derivative(
								        self.layer_between_first_hidden_layer_and_second_hidden_layer)							,							)
								UpperCAmelCase__					:   Any       				=       numpy.dot(
								    self.input_array.T							,							numpy.dot(
								        numpy.dot(
								            2
								            * (self.output_array - self.predicted_output)
								            * sigmoid_derivative(self.predicted_output)							,							self.second_hidden_layer_and_output_layer_weights.T							,							)
								        * sigmoid_derivative(
								            self.layer_between_first_hidden_layer_and_second_hidden_layer)							,							self.first_hidden_layer_and_second_hidden_layer_weights.T							,							)
								    * sigmoid_derivative(self.layer_between_input_and_first_hidden_layer)							,							)

								self.input_layer_and_first_hidden_layer_weights += (
								    updated_input_layer_and_first_hidden_layer_weights
								)
								self.first_hidden_layer_and_second_hidden_layer_weights += (
								    updated_first_hidden_layer_and_second_hidden_layer_weights
								)
								self.second_hidden_layer_and_output_layer_weights += (
								    updated_second_hidden_layer_and_output_layer_weights
								)




					def 			snake_case__  ( self							,							_lowerCamelCase							,							_lowerCamelCase							,							_lowerCamelCase):
								for iteration in range(1							,							iterations + 1):
											UpperCAmelCase__					:   Optional[Any]       				=       self.feedforward()
											self.back_propagation()
											if give_loss:
														UpperCAmelCase__					:   str       				=       numpy.mean(numpy.square(output - self.feedforward()))
														print(f'''Iteration {iteration} Loss: {loss}''')




					def 			snake_case__  ( self							,							_lowerCamelCase):
								UpperCAmelCase__					:   List[Any]       				=       input_arr

								UpperCAmelCase__					:   Tuple       				=       sigmoid(
								    numpy.dot(self.array							,							self.input_layer_and_first_hidden_layer_weights))

								UpperCAmelCase__					:   List[Any]       				=       sigmoid(
								    numpy.dot(
								        self.layer_between_input_and_first_hidden_layer							,							self.first_hidden_layer_and_second_hidden_layer_weights							,							))

								UpperCAmelCase__					:   Optional[Any]       				=       sigmoid(
								    numpy.dot(
								        self.layer_between_first_hidden_layer_and_second_hidden_layer							,							self.second_hidden_layer_and_output_layer_weights							,							))

								return int(self.layer_between_second_hidden_layer_and_output > 0.6)







def       _UpperCamelCase (						UpperCamelCase__   ):
			return 1 / (1 + numpy.exp(-value   ))







def       _UpperCamelCase (						UpperCamelCase__   ):
			return (value) * (1 - (value))







def       _UpperCamelCase (						):
			UpperCAmelCase__					:   Union[str, Any]       				=       numpy.array(
			    (
			        [0, 0, 0],
			        [0, 0, 1],
			        [0, 1, 0],
			        [0, 1, 1],
			        [1, 0, 0],
			        [1, 0, 1],
			        [1, 1, 0],
			        [1, 1, 1],
			    )	, dtype=numpy.floataa	, )

			# True output values for the given input values.
			UpperCAmelCase__					:   str       				=       numpy.array(([0], [1], [1], [0], [1], [0], [0], [1])	, dtype=numpy.floataa   )

			# Calling neural network class.
			UpperCAmelCase__					:   List[Any]       				=       TwoHiddenLayerNeuralNetwork(
			    input_array=UpperCamelCase__	, output_array=UpperCamelCase__   )

			# Calling training function.
			# Set give_loss to True if you want to see loss in every iteration.
			neural_network.train(output=UpperCamelCase__	, iterations=1_0	, give_loss=UpperCamelCase__   )

			return neural_network.predict(numpy.array(([1, 1, 1])	, dtype=numpy.floataa   )   )


if __name__ == "__main__":
		example()