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Everything about Piecewise linear function
Type of mathematical function
In mathematics, a piecewise linear or segmented function is a real-valued function of a real variable, whose graph is composed of straight-line segments. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Piecewise linear functionA 5-minute orientation
- Skim a recent paper: Piecewise linear approximations for hydropower production function applied on the hydrothermal unit commitment problemInfluential work since 2022
- Pick up a classic book: Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion (Memoirs of the American Mathematical Society)The most-reprinted book on the subject
- Read the landmark paper: PIECEWISE LINEAR RISK FUNCTION AND PORTFOLIO OPTIMIZATIONCited 91 times
- Go sideways: Triangulation (topology)A closely related topic
- Go sideways: Barycentric subdivisionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
PIECEWISE LINEAR RISK FUNCTION AND PORTFOLIO OPTIMIZATION
Piecewise Linear Function Fitting via Mixed-Integer Linear Programming
Models and Algorithms for Optimal Piecewise-Linear Function Approximation
A piecewise linear upper bound on the network recourse function
Efficient algorithms for function approximation with piecewise linear sigmoidal networks
Efficient piecewise-linear function approximation using the uniform metric
An analysis of value function learning with piecewise linear control
A max-piecewise-linear neural network for function approximation
🆕 Influential since 2022
Piecewise linear approximations for hydropower production function applied on the hydrothermal unit commitment problem
ML-PLAC: Multiplierless Piecewise Linear Approximation for Nonlinear Function Evaluation
Polaron hopping through piecewise-linear functionals
A Comparison of Two Mixed-Integer Linear Programs for Piecewise Linear Function Fitting
Cost effective Tanh activation function circuits based on fast piecewise linear logic
📚 Books worth reading
Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion (Memoirs of the American Mathematical Society)Alexander Fel'Shtyn · 2000- 📕Dynamical zeta functions, Nielsen theory, and Reidemeister torsionAlexander Felʹshtyn · 2000
Spaces of PL Manifolds and Categories of Simple MapsFriedhelm Waldhausen, Bjørn Jahren · 2013- 📕Nielsen theory and reidemeister torsion · 1999
- 📕On general Franklin systemsGegham Gevorkyan · 1998
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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