Convex optimization heuristic

Jul 19, 2010Is all non-convex optimization heuristic? Convex Optimization is a mathematically rigorous and well-studied field. In linear programming a  Is non-convex optimisation really in NP class? - MathOverflowCan all convex optimization problems be solved in polynomial time More results from mathoverflow.net
The developed convex heuristic computes near-optimal solutions for the individual objective minimization problems, and tight bounds on the true Pareto front of the bi-objective optimization problem.
We describe general heuristics to approximately solve a wide variety of problems with convex objective and decision variables from a non-convex set.

What is a convex optimization model?

Abstract: A convex optimization model predicts an output from an input by solving a convex optimization problem

The class of convex optimization models is large, and includes as special cases many well-known models like linear and logistic regression

What is differentiable optimization for nonconvex problems?

Differentiable optimization for nonconvex problems is often performed numerically by differentiating each individual step of a numerical solver –, although sometimes it is done implicitly; see, e

g , , , II

Learning Convex Optimization Models We let yi ˆ (xi; ) denote the prediction of yi based on

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