Cover Image

Wasserstein GANs are Minimax Optimal Distribution Estimators

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Stéphanovitch, Arthur, Aamari, Eddie, Levrard, Clément
Format:	Preprint
Published:	2023
Subjects:	Statistics Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Generalization bounds for score-based generative models: a synthetic proof
by: Stéphanovitch, Arthur, et al.
Published: (2025)

Statistical Analysis of Markovian Generative Modeling
by: Aamari, Eddie, et al.
Published: (2026)

The Coreness and H-Index of Random Geometric Graphs
by: Aamari, Eddie, et al.
Published: (2021)

A theory of stratification learning
by: Aamari, Eddie, et al.
Published: (2024)

Generative model for optimal density estimation on unknown manifold
by: Stéphanovitch, Arthur
Published: (2025)

Integral Probability Metrics on submanifolds: interpolation inequalities and optimal inference
by: Stéphanovitch, Arthur
Published: (2024)

Regularity of the score function in generative models
by: Stéphanovitch, Arthur
Published: (2025)

Lipschitz regularity in Flow Matching and Diffusion Models: sharp sampling rates and functional inequalities
by: Stéphanovitch, Arthur
Published: (2026)

Extended Wasserstein-GAN Approach to Causal Distribution Learning: Density-Free Estimation and Minimax Optimality
by: Tamano, Shu, et al.
Published: (2026)

Topological Analysis for Detecting Anomalies (TADA) in Time Series
by: Chazal, Frédéric, et al.
Published: (2024)

Statistical learning on measures: an application to persistence diagrams
by: Hacquard, Olympio, et al.
Published: (2023)

Minimax Statistical Estimation under Wasserstein Contamination
by: Chao, Patrick, et al.
Published: (2023)

Minimax-Optimal Two-Sample Test with Sliced Wasserstein
by: Tran, Binh Thuan, et al.
Published: (2025)

Conditional Diffusion Models are Minimax-Optimal and Manifold-Adaptive for Conditional Distribution Estimation
by: Tang, Rong, et al.
Published: (2024)

Wasserstein-based Minimax Estimation of Dependence in Multivariate Regularly Varying Extremes
by: Zhang, Xuhui, et al.
Published: (2023)

Minimax Optimal Rates for Regression on Manifolds and Distributions
by: Tang, Rong, et al.
Published: (2025)

Minimax Optimal Estimation of Mean and Covariance Functions with Spectral Regularization
by: Gupta, Naveen, et al.
Published: (2026)

Minimax Optimal Probability Matrix Estimation For Graphon With Spectral Decay
by: Chen, Yuchen, et al.
Published: (2024)

The Harmonic Entropy Estimator: Minimax Optimality and Semiparametric Efficiency for Infinite Alphabets
by: Mesner, Octavio César
Published: (2025)

Optimal Recovery Meets Minimax Estimation
by: DeVore, Ronald, et al.
Published: (2025)

Minimax testing in a statistical inverse problem with unknown operator
by: Marteau, Clément, et al.
Published: (2025)

Minimax Optimal Estimation of Transport-Growth Pairs in Unbalanced Optimal Transport
by: Ponnoprat, Donlapark, et al.
Published: (2026)

Minimax Analysis of Estimation Problems in Coherent Imaging
by: Xing, Hao, et al.
Published: (2025)

A Wasserstein perspective of Vanilla GANs
by: Kunkel, Lea, et al.
Published: (2024)

An Efficient Minimax Optimal Estimator For Multivariate Convex Regression
by: Kur, Gil, et al.
Published: (2022)

Constructing Bayes Minimax Estimators through Integral Transformations
by: Fourdrinier, Dominique, et al.
Published: (2025)

Minimax Simple Bayes Estimators of a Normal Variance
by: Maruyama, Yuzo
Published: (2026)

On Instability of Minimax Optimal Optimism-Based Bandit Algorithms
by: Praharaj, Samya, et al.
Published: (2025)

Minimax Optimality of the Probability Flow ODE for Diffusion Models
by: Cai, Changxiao, et al.
Published: (2025)

Neural Entropic Optimal Transport and Gromov-Wasserstein Alignment
by: Wang, Tao, et al.
Published: (2023)

Minimax asymptotics
by: Meitz, Mika, et al.
Published: (2025)

Adaptive Kernel Ridge Regression with Linear Structure: Sharp Oracle Inequalities and Minimax Optimality
by: Bing, Xin, et al.
Published: (2026)

Optimal State Estimation in the Presence of Non-Gaussian Uncertainty via Wasserstein Distance Minimization
by: Prabhat, Himanshu, et al.
Published: (2024)

Exactly or Approximately Wasserstein Distributionally Robust Estimation According to Wasserstein Radii Being Small or Large
by: Ding, Xiao, et al.
Published: (2025)

Online Covariance Estimation in Averaged SGD: Improved Batch-Mean Rates and Minimax Optimality via Trajectory Regression
by: Ni, Yijin, et al.
Published: (2026)

Two New Families of Local Asymptotically Minimax Lower Bounds in Parameter Estimation
by: Merhav, Neri
Published: (2024)

Exact Minimax Optimality of Spectral Methods in Phase Synchronization and Orthogonal Group Synchronization
by: Zhang, Anderson Ye
Published: (2022)

Minimax Rates of Estimation for Optimal Transport Map between Infinite-Dimensional Spaces
by: Ponnoprat, Donlapark, et al.
Published: (2025)

Minimax Optimal rates of convergence in the shuffled regression, unlinked regression, and deconvolution under vanishing noise
by: Durot, Cecile, et al.
Published: (2024)

The Empirical Mean is Minimax Optimal for Local Glivenko-Cantelli
by: Cohen, Doron, et al.
Published: (2024)