
Partial Recovery in the Graph Alignment Problem
In this paper, we consider the graph alignment problem, which is the pro...
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ShapeConstrained Regression using Sum of Squares Polynomials
We consider the problem of fitting a polynomial to a set of data points,...
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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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Engineering and Business Applications of Sum of Squares Polynomials
Optimizing over the cone of nonnegative polynomials, and its dual counte...
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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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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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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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Geometry of 3D Environments and Sum of Squares Polynomials
Motivated by applications in robotics and computer vision, we study prob...
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DC Decomposition of Nonconvex Polynomials with Algebraic Techniques
We consider the problem of decomposing a multivariate polynomial as the ...
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Georgina Hall
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