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09/14/2023
Learning to Warm-Start Fixed-Point Optimization Algorithms
We introduce a machine-learning framework to warm-start fixed-point opti...
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05/11/2021
Sums of Separable and Quadratic Polynomials
We study separable plus quadratic (SPQ) polynomials, i.e., polynomials t...
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04/30/2021
Traceability Technology Adoption in Supply Chain Networks
Modern traceability technologies promise to improve supply chain managem...
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07/01/2020
Partial Recovery in the Graph Alignment Problem
In this paper, we consider the graph alignment problem, which is the pro...
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04/08/2020
Shape-Constrained Regression using Sum of Squares Polynomials
We consider the problem of fitting a polynomial to a set of data points,...
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08/14/2019
A Survey of Recent Scalability Improvements for Semidefinite Programming with Applications in Machine Learning, Control, and Robotics
Historically, scalability has been a major challenge to the successful a...
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06/19/2019
Engineering and Business Applications of Sum of Squares Polynomials
Optimizing over the cone of nonnegative polynomials, and its dual counte...
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06/19/2018
Optimization over Nonnegative and Convex Polynomials With and Without Semidefinite Programming
The problem of optimizing over the cone of nonnegative polynomials is a ...
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06/16/2018
On the Complexity of Detecting Convexity over a Box
It has recently been shown that the problem of testing global convexity ...
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09/27/2017
On the construction of converging hierarchies for polynomial optimization based on certificates of global positivity
In recent years, techniques based on convex optimization and real algebr...
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11/22/2016
Geometry of 3D Environments and Sum of Squares Polynomials
Motivated by applications in robotics and computer vision, we study prob...
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10/06/2015