Our aim is to approximate the nonlinear function by a piecewise linear function as follows: (1) where is th subset in partitioning of as. As we know, this partitioning has bel- low properties: 1) 2) ...

Where math, technology, and education cross. Piecewise-linear calculus part 2: Getting to smoothness By Robert Talbert January 12, 2010 Image via Wikipedia ...

""" This file implements piecewise linear functions and constraints for CP-SAT. Because CP-SAT only supports integer values, the functions can only be used as lower or upper bounds, but not for ...

Constructing a model for data in R/sup 2/ is a common problem in many scientific fields, including pattern recognition, computer vision, and applied mathematics. Often little is known about the ...

Under construction This repo contains some tooling to simplify linear combinations of piecewise linear functions, then finally emit them (and their first derivative) as Excel formulas. The motivating ...

The canonical representation of piecewise-linear (PWL) functions provides a global compact formulation of continuous PWL functions, which has significant advantages in the research and applications ...

The pq-relaxation for the pooling problem can be constructed by applying McCormick envelopes for each of the bilinear terms appearing in the so-called pq-formulation of the pooling problem. This ...

This paper considers a stochastic shortest path problem where the arc lengths are independent random variables following a normal distribution. In this problem, the optimal path is one that maximizes ...