The function PiecewiseExpand allows users to transform an arbitrary composition of piecewise functions into a single piecewise function. These tools, as well as Mathematica's condition solving capabilities, allow for efficient handling of piecewise functions in many contexts, including equation and ...
Piecewise-Defined Functions A piecewise-defined function is explored graphically and analytically. Note: In Maple 2018, context-sensitive menus were incorporated into the new Maple Context Panel, located on the right side of the Maple window. If you are using Maple 2018, instead of right-clicking...
Limits and continuity of piecewise functions. In each case, provide a specific value for a (and a specific value for b, when appropriate) to ensure that each piecewise-defined function is continuous at x=1. The " a " in one pro...
R. "Nonlinear prediction for speech coding using radial basis functions," in Proc.IEEE Int. Conf. Acoust., Speech, Signal Processing, ICASSP-95, May ... F Díaz-De-María,AR Figueiras-Vidal - in Proc.IEEE Int. Conf. Acoust., Speech, Signal Processing, ICASSP-95 被引量: 42发表: 1995...
In CP Optimizer, piecewise linear functions are typically used to model a known function of time, such as the cost incurred for completing an activity after a known datet(seeExpressions over Interval Variables). Apiecewise linear functionF(t)is defined by a tupleF = piecewise(S, T, t0, v...
Piecewise Linear Functions (PWLs) can be used to approximate any 1D function. PWLs are built with a configurable number of line segments - the more segments the more accurate the approximation. This package implements PWLs in PyTorch and as such you can optimize them using standard gradient de...
Taylor & Francis Online :: Detecting multiple change points in piecewise constant hazard functions - Journal of Applied Statistics - Volume 38, Issue 11 allow for the consideration of multiple change-points, and propose a model selection algorithm using sequential testing for the piecewise constant ...
Analysis of singularitiesContinuous waveletsCurveletsDirectional waveletsEdge detectionShearletsWaveletsThe analysis and detection of edges is a central problem in applied mathematics and image processing.Applied and Computational Harmonic AnalysisGuo, KanghuiMissouri State UnivLabate, DemetrioUniv Houst...
Computing the convex envelope is a core operation in nonsmooth analysis that bridges the convex with the nonconvex world. Although efficient algorithms to compute fundamental transforms of convex analysis have been proposed over the years, they are limited to convex functions until an efficient algorith...
A hidden Markov model formulation for estimating slopes in a noisy piecewise linear function is proposed.A computationally tractable dynamic programming routine on a linearly growing trellis for fast maximum a posteriori estimation is developed.Optimality analysis of this routine via simulations and a comp...