I have a Cartesian grid (100x100) in which some of the points are known (30 out of 10,000) and the rest are unknown. I want to use the known points and estimate the other cells. Is there any philosophies behind the way that I must use the known points to estimate the unknown cells? In other words, does it matter that where I should start the estimation? Generally speaking, I personally prefer to start from the locations where I have the maximum amount of the information rather than a random location that probably I might have one known data. However, there is another school says that I should start from a random location in order to prevent any bias. I am more interested to know your ideas about any differences between these methods.Thanks !
Best path for estimation
linear algebra;statistics;error estimation