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Open AccessJournal ArticleDOI

A rewriting system for convex optimization problems

TLDR
In this paper, a modular rewriting system for translating optimization problems written in a domain-specific language (DSL) to forms compatible with low-level solver interfaces is described.
Abstract
We describe a modular rewriting system for translating optimization problems written in a domain-specific language (DSL) to forms compatible with low-level solver interfaces. Translation is facilit...

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Journal ArticleDOI

OSQP: An Operator Splitting Solver for Quadratic Programs

TL;DR: This work presents a general-purpose solver for convex quadratic programs based on the alternating direction method of multipliers, employing a novel operator splitting technique that requires the solution of a quasi-definite linear system with the same coefficient matrix at almost every iteration.
Posted Content

Implicit Regularization in Deep Matrix Factorization

TL;DR: This work studies the implicit regularization of gradient descent over deep linear neural networks for matrix completion and sensing, a model referred to as deep matrix factorization, and finds that adding depth to a matrix factorizations enhances an implicit tendency towards low-rank solutions.
Journal ArticleDOI

OSQP: an operator splitting solver for quadratic programs

TL;DR: OSQP as discussed by the authors is a general-purpose solver for convex quadratic programs based on the alternating direction method of multipliers, employing a novel operator splitting technique that requires the solution of a quasi-definite linear system with the same coefficient matrix at almost every iteration.
Journal ArticleDOI

Wastewater sequencing reveals early cryptic SARS-CoV-2 variant transmission

Smruthi Karthikeyan, +117 more
- 07 Jul 2022 - 
TL;DR: In this paper , a scalable solution for wastewater genomic surveillance that allows early detection of SARS-CoV-2 variants and identification of cryptic transmission was proposed, in the controlled environment of a large university campus and the broader context of the surrounding county.
Journal ArticleDOI

Evaluating the Holevo Cramér-Rao bound for multiparameter quantum metrology

TL;DR: This work recast the fundamental bound for multiparameter quantum estimation, the Holevo Cramér-Rao bound, as a semidefinite program, with reduced size for rank-deficient states and shows that it also satisfies strong duality.
References
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Journal ArticleDOI

Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones

TL;DR: This paper describes how to work with SeDuMi, an add-on for MATLAB, which lets you solve optimization problems with linear, quadratic and semidefiniteness constraints by exploiting sparsity.
Book ChapterDOI

Domain-adversarial training of neural networks

TL;DR: In this article, a new representation learning approach for domain adaptation is proposed, in which data at training and test time come from similar but different distributions, and features that cannot discriminate between the training (source) and test (target) domains are used to promote the emergence of features that are discriminative for the main learning task on the source domain.
Journal ArticleDOI

Semidefinite programming

TL;DR: A survey of the theory and applications of semidefinite programs and an introduction to primaldual interior-point methods for their solution are given.
Journal ArticleDOI

Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming

TL;DR: This algorithm gives the first substantial progress in approximating MAX CUT in nearly twenty years, and represents the first use of semidefinite programming in the design of approximation algorithms.
Journal ArticleDOI

GAMS, a user's guide

TL;DR: JuMP is an open-source modeling language that allows users to express a wide range of ideas in an easy-to-use manner.
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