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09/26/2022
Learning Variational Models with Unrolling and Bilevel Optimization
In this paper we consider the problem learning of variational models in ...
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08/24/2020
Computing the Real Isolated Points of an Algebraic Hypersurface
Let ℝ be the field of real numbers. We consider the problem of computing...
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04/24/2020
Evaluation of Pool-based Testing Approaches to Enable Population-wide Screening for COVID-19
Background: Rapid testing for an infection is paramount during a pandemi...
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10/04/2019
A Polyhedral Homotopy Algorithm For Real Zeros
We design a homotopy continuation algorithm for finding real zeros of sp...
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10/01/2019
Initial Steps in the Classification of Maximal Mediated Sets
Maximal mediated sets (MMS), introduced by Reznick, are distinguished su...
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03/12/2019
New Dependencies of Hierarchies in Polynomial Optimization
We compare four key hierarchies for solving Constrained Polynomial Optim...
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02/06/2019
Exact Optimization via Sums of Nonnegative Circuits and Sums of AM/GM Exponentials
We provide two hybrid numeric-symbolic optimization algorithms, computin...
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10/12/2018
Computing Elimination Ideals and Discriminants of Likelihood Equations
We develop a probabilistic algorithm for computing elimination ideals of...
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08/25/2018
An Experimental Comparison of SONC and SOS Certificates for Unconstrained Optimization
Finding the minimum of a multivariate real polynomial is a well-known ha...
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02/27/2018
Optimization over the Boolean Hypercube via Sums of Nonnegative Circuit Polynomials
Various key problems from theoretical computer science can be expressed ...
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08/30/2016