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Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview [PDF]

open access: yesIEEE Transactions on Signal Processing, 2018
Substantial progress has been made recently on developing provably accurate and efficient algorithms for low-rank matrix factorization via nonconvex optimization.
Yuejie Chi, Yue M. Lu, Yuxin Chen
semanticscholar   +1 more source

On Koopman and Perron-Frobenius operators of random dynamical systems

open access: yesESAIM: Proceedings and Surveys, 2014
In this paper, we investigate the Koopman and the Perron-Frobenius operators of random dynamical systems in general setting. Moreover, we give some necessary and sufficient conditions for the existence of invariant densities for the ...
Hmissi Mohamed
doaj   +1 more source

Secure Federated Matrix Factorization [PDF]

open access: yesIEEE Intelligent Systems, 2019
To protect user privacy and meet law regulations, federated (machine) learning is obtaining vast interests in recent years. The key principle of federated learning is training a machine learning model without needing to know each user’s personal raw ...
Di Chai, Leye Wang, Kai Chen, Qiang Yang
semanticscholar   +1 more source

Factorization structures with a two-dimensional factor [PDF]

open access: yesJournal of the London Mathematical Society, 2009
We introduce the notion of quantum duplicates of an (associative, unital) algebra, motivated by the problem of constructing toy-models for quantizations of certain configuration spaces in quantum mechanics. The proposed (algebraic) model relies on the classification of factorization structures with a two-dimensional factor.
Cortadellas, Ó.   +2 more
openaire   +4 more sources

On the Sudakov Form Factor, and a Factor of Two [PDF]

open access: yes, 2020
19 pages, 2 figures. Contribution to the volume "Roman Jackiw -- 80th Birthday Festschrift". Note added with important extra references and some historical remarks; some typos corrected. Two more typos corrected and a note added.
Niemi, Antti   +3 more
openaire   +2 more sources

Experimental Demonstrations of Native Implementation of Boolean Logic Hamiltonian in a Superconducting Quantum Annealer

open access: yesIEEE Transactions on Quantum Engineering, 2021
Experimental demonstrations of quantum annealing with “native” implementation of Boolean logic Hamiltonians are reported. As a superconducting integrated circuit, a problem Hamiltonian whose set of ground states is consistent with a given ...
Daisuke Saida   +6 more
doaj   +1 more source

Relating Transverse Momentum Dependent and Collinear Factorization Theorems in a Generalized Formalism [PDF]

open access: yes, 2016
We construct an improved implementation for combining transverse-momentum-dependent (TMD) factorization and collinear factorization. TMD factorization is suitable for low transverse momentum physics, while collinear factorization is suitable for high ...
Collins, J.   +5 more
core   +3 more sources

Factorization of symplectic matrices into elementary factors

open access: yesProceedings of the American Mathematical Society, 2020
We prove that a symplectic matrix with entries in a ring with Bass stable rank one can be factored as a product of elementary symplectic matrices. This also holds for null-homotopic symplectic matrices with entries in a Banach algebra or in the ring of complex valued continuous functions on a finite dimensional normal topological space.
Kutzschebauch, Frank   +3 more
openaire   +4 more sources

Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients.
Haret C. Rosu, Kira V. Khmelnytskaya
doaj   +1 more source

Factorization theorems for strong maps between matroids of arbitrary cardinality

open access: yesOpen Mathematics, 2016
In this paper we present factorization theorems for strong maps between matroids of arbitrary cardinality. Moreover, we present a new way to prove the factorization theorem for strong maps between finite matroids.
Mao Hua
doaj   +1 more source

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