Gaussian-Smooth Optimal Transport: Metric Structure and Statistical Efficiency

24 January 2020

Papers citing "Gaussian-Smooth Optimal Transport: Metric Structure and Statistical Efficiency"

27 / 27 papers shown

Title
Privacy without Noisy Gradients: Slicing Mechanism for Generative Model Training Kristjan Greenewald Yuancheng Yu Hao Wang Kai Xu 36 0 0 25 Oct 2024
Bounding adapted Wasserstein metrics Zhe Liu Martin Larsson Jonghwa Park Johannes Wiesel OT 46 1 0 31 Jul 2024
Smoothed NPMLEs in nonparametric Poisson mixtures and beyond Keunwoo Lim Fang Han OT 29 1 0 13 Jun 2024
Max-sliced Wasserstein concentration and uniform ratio bounds of empirical measures on RKHS Ruiyu Han Cynthia Rush Johannes Wiesel 28 0 0 21 May 2024
Convergence of the Adapted Smoothed Empirical Measures Songyan Hou 16 3 0 26 Jan 2024
Differentially Private Gradient Flow based on the Sliced Wasserstein Distance Ilana Sebag Muni Sreenivas Pydi Jean-Yves Franceschi Alain Rakotomamonjy Mike Gartrell Jamal Atif Alexandre Allauzen 24 2 0 13 Dec 2023
Scalable Optimal Transport Methods in Machine Learning: A Contemporary Survey Abdelwahed Khamis Russell Tsuchida Mohamed Tarek V. Rolland Lars Petersson OT 45 12 0 08 May 2023
Personalised Federated Learning On Heterogeneous Feature Spaces A. Rakotomamonjy Maxime Vono H. M. Ruiz L. Ralaivola FedML 18 8 0 26 Jan 2023
Gromov-Wasserstein Distances: Entropic Regularization, Duality, and Sample Complexity Zhengxin Zhang Ziv Goldfeld Youssef Mroueh Bharath K. Sriperumbudur OT 22 15 0 25 Dec 2022
Asymptotics of smoothed Wasserstein distances in the small noise regime Yunzi Ding Jonathan Niles-Weed OT 21 2 0 13 Jun 2022
Statistical inference with regularized optimal transport Ziv Goldfeld Kengo Kato Gabriel Rioux Ritwik Sadhu OT 44 34 0 09 May 2022
Limit distribution theory for smooth $p$ -Wasserstein distances Ziv Goldfeld Kengo Kato Sloan Nietert Gabriel Rioux 11 15 0 01 Mar 2022
Nonparametric mixture MLEs under Gaussian-smoothed optimal transport distance Fang Han Zhen Miao Yandi Shen OT 35 7 0 04 Dec 2021
Order Constraints in Optimal Transport Fabian Lim L. Wynter Shiau Hong Lim OT 34 4 0 14 Oct 2021
Limit Distribution Theory for the Smooth 1-Wasserstein Distance with Applications Ritwik Sadhu Ziv Goldfeld Kengo Kato 16 8 0 28 Jul 2021
Differentially Private Sliced Wasserstein Distance A. Rakotomamonjy L. Ralaivola 9 22 0 05 Jul 2021
Martingale Methods for Sequential Estimation of Convex Functionals and Divergences Tudor Manole Aaditya Ramdas 31 19 0 16 Mar 2021
Fast block-coordinate Frank-Wolfe algorithm for semi-relaxed optimal transport Takumi Fukunaga Hiroyuki Kasai OT 14 6 0 10 Mar 2021
Convergence of Gaussian-smoothed optimal transport distance with sub-gamma distributions and dependent samples Yixing Zhang Xiuyuan Cheng Galen Reeves OT 16 10 0 28 Feb 2021
Improving Approximate Optimal Transport Distances using Quantization Gaspard Beugnot Aude Genevay Kristjan Greenewald Justin Solomon OT MQ 164 9 0 25 Feb 2021
Differentiable Particle Filtering via Entropy-Regularized Optimal Transport Adrien Corenflos James Thornton George Deligiannidis Arnaud Doucet OT 41 66 0 15 Feb 2021
Two-sample Test with Kernel Projected Wasserstein Distance Jie Wang Rui Gao Yao Xie 24 19 0 12 Feb 2021
Smooth $p$ -Wasserstein Distance: Structure, Empirical Approximation, and Statistical Applications Sloan Nietert Ziv Goldfeld Kengo Kato 39 30 0 11 Jan 2021
A contribution to Optimal Transport on incomparable spaces Titouan Vayer OT 25 19 0 09 Nov 2020
Attribute Privacy: Framework and Mechanisms Wanrong Zhang O. Ohrimenko Rachel Cummings 18 36 0 08 Sep 2020
Limit Distribution for Smooth Total Variation and $χ^2$ -Divergence in High Dimensions Ziv Goldfeld Kengo Kato 17 7 0 03 Feb 2020
Asymptotic Guarantees for Generative Modeling Based on the Smooth Wasserstein Distance Ziv Goldfeld Kristjan Greenewald Kengo Kato 36 2 0 03 Feb 2020