A python implementation of the algorithm used to generate optimal piecewise linear approximations of convex functions proposed by Imamoto and Tang .The algorithm uses an iterative search to find the ...

The optimal solution of linear programming problem (17) is the best piecewise linearization of the function on.We let (See Figure 5).In this example, we have while for Splines Piecewise Approximation ...

So, although the piecewise-linear graph can be a pretty good approximation to real life, in real life no person would ever move like this. Instead, Charlie’s motion is probably more like this: ...

This is probably the last of three articles on how piecewise-linear functions could be used as a helpful on-ramp to the big ideas in calculus. In the first article, we saw how it’s possible to ...

A piecewise linear function is represented in terms of a set of linear functions through the use of the maximum and minimum functions. A procedure for finding piecewise linear discriminant functions ...

Abstract: Using the global implicit function theorem of piecewise linear functions, a number of new results are derived for the uniqueness of solutions of piecewise linear functions. Published in: ...

In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise ...