Piecewise-linear approximations of multidimensional functions
From MaRDI portal
Publication:970578
DOI10.1007/s10957-009-9626-0zbMath1186.90080OpenAlexW2091593675WikidataQ62015655 ScholiaQ62015655MaRDI QIDQ970578
Christodoulos A. Floudas, Ruth Misener
Publication date: 19 May 2010
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10044/1/31814
Related Items
Polyhedral approximation strategies for nonconvex mixed-integer nonlinear programming in SHOT, Optimization and validation of pumping system design and operation for water supply in high-rise buildings, Arbitrarily tight \(\alpha \mathrm{BB}\) underestimators of general non-linear functions over sub-optimal domains, Mixed-Integer Convex Nonlinear Optimization with Gradient-Boosted Trees Embedded, A Decomposition-Based Heuristic for Collaborative Scheduling in a Network of Open-Pit Mines, Continuous piecewise linear delta-approximations for bivariate and multivariate functions, Exact penalty and optimality condition for nonseparable continuous piecewise linear programming, Finding the set of global minimizers of a piecewise affine function, A linear programming approach to difference-of-convex piecewise linear approximation, Mixed-integer linear optimization for optimal lift-gas allocation with well-separator routing, Polylithic modeling and solution approaches using algebraic modeling systems, Convergent upper bounds in global minimization with nonlinear equality constraints, Mixed Integer Linear Programming Formulation Techniques, Solving mixed-integer nonlinear programmes using adaptively refined mixed-integer linear programmes, On refinement strategies for solving \(\textsc{MINLP}\)s by piecewise linear relaxations: a generalized red refinement, Deterministic upper bounds for spatial branch-and-bound methods in global minimization with nonconvex constraints, A minimal cardinality solution to fitting sawtooth piecewise-linear functions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convex piecewise-linear fitting
- A review of recent advances in global optimization
- Tight convex underestimators for \({{\mathcal C}^2}\)-continuous problems. I: Univariate functions
- Tight convex underestimators for \({\mathcal{C}^2}\)-continuous problems. II: Multivariate functions
- Constrained global optimization: algorithms and applications
- A reformulation-linearization technique for solving discrete and continuous nonconvex problems
- Handbook of test problems in local and global optimization
- Frontiers in global optimization
- Models for representing piecewise linear cost functions
- Convex envelopes for edge-concave functions
- Simplexity of the cube
- Convexification and global optimization in continuous and mixed-integer nonlinear programming. Theory, algorithms, software, and applications
- Trilinear monomials with mixed sign domains: Facets of the convex and concave envelopes
- Finding all solutions of nonlinearly constrained systems of equations
- Selected papers presented at the conference on the state of the art in global optimization: computational methods and applications, Princeton, NJ, USA, April 28-30, 1995
- State of the art in global optimization: computational methods and applications. Papers of the conference, Princeton, NJ, USA, April 28--30, 1995
- Linearly constrained global optimization via piecewise-linear approximation
- Global minimization via piecewise-linear underestimation
- Jointly Constrained Biconvex Programming
- Global minimization of large-scale constrained concave quadratic problems by separable programming
- Practical Solution of Large Mixed Integer Programming Problems with Umpire
- Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
- Solving nonlinear resistive networks using piecewise-linear analysis and simplicial subdivision
- Convex analysis and global optimization
- Introduction to global optimization.
- Analysis of bounds for multilinear functions
- On mixed-integer zero-one representations for separable lower-semicontinuous piecewise-linear functions