Results 31 to 40 of about 410,939 (360)
Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview [PDF]
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
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]
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]
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]
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 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]
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
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
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
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