An inexact PAM method for computing Wasserstein barycenter with unknown supports
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Publication:1983867
DOI10.1007/s40314-020-01395-1zbMath1476.90268arXiv1809.05990OpenAlexW3132496834MaRDI QIDQ1983867
Publication date: 10 September 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.05990
Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Nonsmooth analysis (49J52)
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- Proximal alternating linearized minimization for nonconvex and nonsmooth problems
- A coordinate gradient descent method for nonsmooth separable minimization
- A dual algorithm for the solution of nonlinear variational problems via finite element approximation
- A globally convergent algorithm for nonconvex optimization based on block coordinate update
- The earth mover's distance as a metric for image retrieval
- Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
- A Unified Convergence Analysis of Block Successive Minimization Methods for Nonsmooth Optimization
- Hankel Matrix Rank Minimization with Applications to System Identification and Realization
- A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion
- Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
- Variational Analysis
- Fast Discrete Distribution Clustering Using Wasserstein Barycenter With Sparse Support
- Linear Rate Convergence of the Alternating Direction Method of Multipliers for Convex Composite Programming
- The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems
- A Note on Asymptotic Joint Normality
- Optimal Transport
- Convergence of a block coordinate descent method for nondifferentiable minimization
- The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent