A hierarchically low-rank optimal transport dissimilarity measure for structured data
From MaRDI portal
Publication:2098781
DOI10.1007/s10543-022-00937-9OpenAlexW4296137559WikidataQ114691122 ScholiaQ114691122MaRDI QIDQ2098781
Publication date: 22 November 2022
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-022-00937-9
Wasserstein metricoptimization problemshierarchical matricesoptimal transportentropic regularizationSinkhorn divergence
Complexity and performance of numerical algorithms (65Y20) Numerical methods for low-rank matrix approximation; matrix compression (65F55) Transport equations (35Q49)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computational Optimal Transport: With Applications to Data Science
- A sparse multiscale algorithm for dense optimal transport
- Optimal transport for seismic full waveform inversion
- Numerical solution of the optimal transportation problem using the Monge-Ampère equation
- A survey of the Schrödinger problem and some of its connections with optimal transport
- Application of the Wasserstein metric to seismic signals
- Minimizing finite sums with the stochastic average gradient
- Bayesian inference with optimal maps
- On the scaling of multidimensional matrices
- On a new multivariate two-sample test.
- The earth mover's distance as a metric for image retrieval
- On the complexity of nonnegative-matrix scaling
- On complexity of matrix scaling
- Regularized nonlinear acceleration
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Concerning nonnegative matrices and doubly stochastic matrices
- Convolutional wasserstein distances
- Hierarchical Matrices: Algorithms and Analysis
- The Sinkhorn–Knopp Algorithm: Convergence and Applications
- Is the Frobenius matrix norm induced?
- Hierarchical algorithms on hierarchical architectures
- WASSERSTEIN METRIC-DRIVEN BAYESIAN INVERSION WITH APPLICATIONS TO SIGNAL PROCESSING
- Imaging with Kantorovich--Rubinstein Discrepancy
- Iterative Bregman Projections for Regularized Transportation Problems
- A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices
- Iterative Procedures for Nonlinear Integral Equations
- Survey of Extrapolation Processes in Numerical Analysis
- Optimal Transport