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Local Linear Convergence

Local Linear Convergence Analysis of Primal-Dual Splitting Methods

Local Linear Convergence Analysis of Primal-Dual Splitting Methods

... unified local convergence analysis framework for these Primal–Dual splitting ...a local linear convergence regime, which is for instance characterized in terms of the structure of the ...

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Local Linear Convergence of Douglas-Rachford/ADMM for Low Complexity Regularization

Local Linear Convergence of Douglas-Rachford/ADMM for Low Complexity Regularization

... Local Linear Convergence of Douglas–Rachford/ADMM for Low Complexity Regularization Jingwei Liang ∗ , Jalal M. Fadili ∗ , Gabriel Peyr´e † and Russell Luke ‡ ∗ GREYC, CNRS, ENSICAEN, Universit´e de ...

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Local Linear Convergence of Inertial Forward-Backward Splitting for Low Complexity Regularization

Local Linear Convergence of Inertial Forward-Backward Splitting for Low Complexity Regularization

... (d) Nuclear norm Fig. 1: Local linear convergence of iFB-type methods in terms of ||x k − x ⋆ ||. The forward model of the problem of interests reads y = Ax 0 + ε, ε ∼ N (0, δ 2 ). (a) ℓ 1 -norm, (m, ...

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Model identification and local linear convergence of coordinate descent

Model identification and local linear convergence of coordinate descent

... Equal contribution October 16, 2020 Abstract For composite nonsmooth optimization problems, Forward-Backward algorithm achieves model identification (e.g., support identification for the Lasso) after a finite number of ...

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Local Convergence Properties of Douglas–Rachford and Alternating Direction Method of Multipliers

Local Convergence Properties of Douglas–Rachford and Alternating Direction Method of Multipliers

... 13. Liang, J., Fadili, M.J., Peyré, G., Luke, R.: Activity identification and local linear convergence of Douglas–Rachford/ADMM under partial smoothness. In: Scale Space and Variational Methods in ...

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A LOCAL CLT FOR LINEAR STATISTICS OF 2D COULOMB GASES

A LOCAL CLT FOR LINEAR STATISTICS OF 2D COULOMB GASES

... a local central limit theorem for fluctuations of linear statistics of smooth enough test functions under the canonical Gibbs measure of two-dimensional Coulomb gases at any positive ...

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Quantitative rates of convergence to equilibrium for the degenreate linear Boltzman equation on the Torus

Quantitative rates of convergence to equilibrium for the degenreate linear Boltzman equation on the Torus

... study linear Boltzmann type equations for a general class of collision operators and external confining potential terms on a closed, smooth, connected and compact Riemannian manifold M (and in particular the ...

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On the Convergence of a Greedy Rank-One Update Algorithm for a Class of Linear Systems

On the Convergence of a Greedy Rank-One Update Algorithm for a Class of Linear Systems

... the convergence of the Greedy Rank- One Update Algorithm for solving linear systems with a full rank ...the linear system has a an invertible ...

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Quenched convergence and strong local equilibrium for asymmetric zero-range process with site disorder

Quenched convergence and strong local equilibrium for asymmetric zero-range process with site disorder

... strong local equilibrium measures are different in the disordered ...the local equilibrium property is expectedly wrong at supercritical hydrodynamic den- sities ρ(t, x) > ρ c , since a corresponding ...

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QUANTITATIVE RATES OF CONVERGENCE TO EQUILIBRIUM FOR THE DEGENERATE LINEAR BOLTZMANN EQUATION ON THE TORUS

QUANTITATIVE RATES OF CONVERGENCE TO EQUILIBRIUM FOR THE DEGENERATE LINEAR BOLTZMANN EQUATION ON THE TORUS

... study linear Boltzmann type equations for a general class of collision operators and external confining potential terms on a closed, smooth, connected and compact Riemannian manifold M (and in particular the ...

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On correctors for linear elliptic homogenization in the presence of local defects

On correctors for linear elliptic homogenization in the presence of local defects

... case ˜ a = 0. Then, using the results of [2, 3], valid only in the periodic case, we may prove equivalent convergence estimates in the present case. • The second one, which is the one we chose to apply below, ...

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LOCAL WELL-POSEDNESS FOR THE QUASI-LINEAR HAMILTONIAN SCHRÖDINGER EQUATION ON TORI

LOCAL WELL-POSEDNESS FOR THE QUASI-LINEAR HAMILTONIAN SCHRÖDINGER EQUATION ON TORI

... • We prove the continuity of the solution map, we do not know if it is uniformly continuous or not. Unlike the semi-linear case (for which we refer to [4]), it is an hard problem to establish if the flow is more ...

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Super-linear propagation for a general, local cane toads model

Super-linear propagation for a general, local cane toads model

... The approach that we follow here is based on the work of Freidlin [18, 19], [17], Barles, Evans, and Souganidis [4], and [26]. In the cane toads equation introduced by Benichou et. al. [5] u(1 − u) is replaced by the ...

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Linear Convergence of Comparison-based Step-size Adaptive Randomized Search via Stability of Markov Chains

Linear Convergence of Comparison-based Step-size Adaptive Randomized Search via Stability of Markov Chains

... t+1 ) 1 ≤i≤p of the vectors U t+1 are independent. It is however not a requirement of our theoretical setting. Appendix B. Numerical Experiments. We present in this appendix some nu- merical experiments of the different ...

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Spectral convergence of the generalized Polynomial Chaos reduced model obtained from the uncertain linear Boltzmann equation

Spectral convergence of the generalized Polynomial Chaos reduced model obtained from the uncertain linear Boltzmann equation

... the convergence studies obtained with the previous parameters for different final times T ...spectral convergence is ensured independently of the final time T ...

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SAGA: Sparse And Geometry-Aware non-negative matrix factorization through non-linear local embedding

SAGA: Sparse And Geometry-Aware non-negative matrix factorization through non-linear local embedding

... the RKHS, along with sparsity constraints; Section 3.2 provides with a proof that the projector defined in Section 3.1 converges. As it is established in the litera- ture [16] that the Restricted Isometry Property (RIP, ...

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Une convergence divergente

Une convergence divergente

... caractérisés par des régimes partiellement distincts de reproduction institutionnelle des rapports sociaux. Ceci s’explique notamment par le caractère limité des circulations transnationales, débouchant sur une « ...

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Archivistique et gestion électronique des documents : la convergence des professions par la convergence des systèmes

Archivistique et gestion électronique des documents : la convergence des professions par la convergence des systèmes

... de convergence des professions d'archivistique et de GED, bien qu'il ne soit pas clair si l'on préconise ici l'acquisition d'un ensemble de connaissances par un même individu ou la formation d'une équipe ...

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Density functional theory beyond the linear regime: Validating an adiabatic local density approximation

Density functional theory beyond the linear regime: Validating an adiabatic local density approximation

... adiabatic local density approximation (ALDA) for many finite sys- tems has limited the development of exchange-correlation (xc) functionals with a more elaborate time-dependence, which is clearly in its infancy ...

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Local Input-to-State Stabilization of 1-D Linear Reaction-Diffusion Equation with Bounded Feedback

Local Input-to-State Stabilization of 1-D Linear Reaction-Diffusion Equation with Bounded Feedback

... is linear, we can only stabilize the system if the initial condition is not too large in norm while respecting the prescribed constraint on the maximum value of the ...of local stability, or bounded region ...

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