GPS Fit Method for Paths of Non Drunken Sailors and its Connection to Entropy

Estimating the altimeters a cyclist has climbed from noisy GPS data is a challenging problem. In this article a method is proposed that assumes that a person locally takes the shortest path. This results in an algorithm that does not need smoothing parameters. Moreover, it turns out that this assumption allows one to find a similarity between entropy and likelihood which results to the introduction of an entropic force.