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07/13/2023
Discovering How Agents Learn Using Few Data
Decentralized learning algorithms are an essential tool for designing mu...
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07/06/2023
Multiplicative Updates for Online Convex Optimization over Symmetric Cones
We study online convex optimization where the possible actions are trace...
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02/09/2023
Quantum Potential Games, Replicator Dynamics, and the Separability Problem
Learning in games has emerged as a powerful tool for Machine Learning wi...
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08/02/2021
Multiplicative updates for symmetric-cone factorizations
Given a matrix X∈ℝ^m× n_+ with non-negative entries, the cone factorizat...
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06/01/2021
A Non-commutative Extension of Lee-Seung's Algorithm for Positive Semidefinite Factorizations
Given a matrix X∈ℝ_+^m× n with nonnegative entries, a Positive Semidefin...
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02/26/2020
Convergence to Second-Order Stationarity for Non-negative Matrix Factorization: Provably and Concurrently
Non-negative matrix factorization (NMF) is a fundamental non-convex opti...
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11/21/2019
Local certification of programmable quantum devices of arbitrary high dimensionality
The onset of the era of fully-programmable error-corrected quantum compu...
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06/11/2019
Analysis of Optimization Algorithms via Sum-of-Squares
In this work, we introduce a new framework for unifying and systematizin...
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03/13/2018
