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03/24/2023
Chebyshev and Equilibrium Measure Vs Bernstein and Lebesgue Measure
We show that Bernstein polynomials are related to the Lebesgue measure o...
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02/14/2023
Polynomial argmin for recovery and approximation of multivariate discontinuous functions
We propose to approximate a (possibly discontinuous) multivariate functi...
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09/13/2022
Tractable hierarchies of convex relaxations for polynomial optimization on the nonnegative orthant
We consider polynomial optimization problems (POP) on a semialgebraic se...
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11/17/2020
The Moment-SOS hierarchy and the Christoffel-Darboux kernel
We consider the global minimization of a polynomial on a compact set B. ...
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10/16/2020
Piecewise-Linear Motion Planning amidst Static, Moving, or Morphing Obstacles
We propose a novel method for planning shortest length piecewise-linear ...
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02/10/2020
Polynomial Optimization for Bounding Lipschitz Constants of Deep Networks
The Lipschitz constant of a network plays an important role in many appl...
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10/19/2018