Topic
Piecewise linear function
About: Piecewise linear function is a research topic. Over the lifetime, 8133 publications have been published within this topic receiving 161444 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, the authors refer to the generalized piecewise linear (GPL) loss function, which nests the asymmetric piece-wise linear loss, and show that the level of the quantile depends on a generic asymmetry parameter which reflects the possibly distinct costs of underprediction and overprediction.
204 citations
Patent•
10 Jan 1992TL;DR: In this paper, a bar code detection circuit accepts as input the discretized analog output of a CCD array, and performs piecewise linear reconstruction to produce a continuous polylinear output signal.
Abstract: A bar code detection circuit accepts as input the discretized analog output of a CCD array, and performs piecewise linear reconstruction to produces a continuous polylinear output signal. In the region of a bar/space transition, the output signal is a close approximation of the reflectance function of a bar code symbol convolved with the system transfer function of the bar code reader. Linear interpolation is performed in order to determine the offset of a given threshold value from an edge of the CCD analog output.
203 citations
TL;DR: Given an affine system on a full-dimensional polyTope, the problem of reaching a particular facet of the polytope, using continuous piecewise-affine state feedback is studied and a constructive procedure yields an affines feedback control law, that solves the reachability problem under consideration.
202 citations
TL;DR: In this article, a multi-layered model for frictionless contact analysis of functionally graded materials (FGMs) with arbitrarily varying elastic modulus under plane strain-state deformation has been developed.
202 citations
TL;DR: It is shown that the linear programming relaxation of three textbook mixed-integer programming formulations each approximates the cost function by its lower convex envelope, and a relationship between this result and classical Lagrangian duality theory is shown.
Abstract: We study a generic minimization problem with separable nonconvex piecewise linear costs, showing that the linear programming (LP) relaxation of three textbook mixed-integer programming formulations each approximates the cost function by its lower convex envelope. We also show a relationship between this result and classical Lagrangian duality theory.
200 citations