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This paper introduces the first statistically consistent estimator of the optimal transport map between two probability distributions, based on neural networks. Building on theoretical and practical advances in the field of Lipschitz neural…

Machine Learning · Statistics 2022-02-17 Alberto González-Sanz , Lucas de Lara , Louis Béthune , Jean-Michel Loubes

Distributional causal inference requires estimating not only average treatment effects but also interventional outcome distributions, including quantiles, tail risks, and policy-dependent uncertainty. As a method for distributional causal…

Statistics Theory · Mathematics 2026-05-12 Shu Tamano , Masaaki Imaizumi

Learning algorithms for implicit generative models can optimize a variety of criteria that measure how the data distribution differs from the implicit model distribution, including the Wasserstein distance, the Energy distance, and the…

Machine Learning · Statistics 2019-08-23 Leon Bottou , Martin Arjovsky , David Lopez-Paz , Maxime Oquab

Since their invention, generative adversarial networks (GANs) have become a popular approach for learning to model a distribution of real (unlabeled) data. Convergence problems during training are overcome by Wasserstein GANs which minimize…

Machine Learning · Statistics 2018-03-06 Henning Petzka , Asja Fischer , Denis Lukovnicov

Flow Matching (FM) generative models offer efficient simulation-free training and deterministic sampling, but their practical deployment is challenged by high-precision parameter requirements. We adapt optimal transport (OT)-based…

Machine Learning · Computer Science 2025-11-17 Dara Varam , Diaa A. Abuhani , Imran Zualkernan , Raghad AlDamani , Lujain Khalil

Despite the remarkable empirical success of generative models, the available theory on their statistical accuracy in scientific computing remains largely pessimistic. This paper develops a theoretical framework for understanding the…

Machine Learning · Computer Science 2026-05-21 Likun Lin , Zhongjian Wang , Jack Xin , Zhiwen Zhang

Worst-case generation plays a critical role in evaluating robustness and stress-testing systems under distribution shifts, in applications ranging from machine learning models to power grids and medical prediction systems. We develop a…

Machine Learning · Statistics 2025-12-10 Xiuyuan Cheng , Yao Xie , Linglingzhi Zhu , Yunqin Zhu

Recent advances in deep neural networks (DNNs) lead to tremendously growing network parameters, making the deployments of DNNs on platforms with limited resources extremely difficult. Therefore, various pruning methods have been developed…

Machine Learning · Computer Science 2020-05-22 Yucong Shen , Li Shen , Hao-Zhi Huang , Xuan Wang , Wei Liu

Real active distribution networks with associated smart meter (SM) data are critical for power researchers. However, it is practically difficult for researchers to obtain such comprehensive datasets from utilities due to privacy concerns.…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Rong Yan , Yuxuan Yuan , Zhaoyu Wang , Guangchao Geng , Quanyuan Jiang

Optimal transport (OT) provides powerful tools for comparing probability measures in various types. The Wasserstein distance which arises naturally from the idea of OT is widely used in many machine learning applications. Unfortunately,…

Optimization and Control · Mathematics 2021-06-03 Shu Liu , Haodong Sun , Hongyuan Zha

The field of deep generative modeling is dominated by generative adversarial networks (GANs). However, the training of GANs often lacks stability, fails to converge, and suffers from model collapse. It takes an assortment of tricks to solve…

Machine Learning · Computer Science 2019-10-18 Oliver Zhang , Ruei-Sung Lin , Yuchuan Gou

Generative Adversarial Networks (GANs) have proven to exhibit remarkable performance and are widely used across many generative computer vision applications. However, the unprecedented demand for the deployment of GANs on…

Computer Vision and Pattern Recognition · Computer Science 2024-03-14 Aman Kumar , Khushboo Anand , Shubham Mandloi , Ashutosh Mishra , Avinash Thakur , Neeraj Kasera , Prathosh A P

A generative adversarial network (GAN) has been a representative backbone model in generative artificial intelligence (AI) because of its powerful performance in capturing intricate data-generating processes. However, the GAN training is…

Machine Learning · Statistics 2025-08-21 Jinwon Sohn , Qifan Song

Stochastic-sampling-based Generative Neural Networks, such as Restricted Boltzmann Machines and Generative Adversarial Networks, are now used for applications such as denoising, image occlusion removal, pattern completion, and motion…

Machine Learning · Computer Science 2019-10-29 Alexander Potapov , Ian Colbert , Ken Kreutz-Delgado , Alexander Cloninger , Srinjoy Das

In this paper, we present a simple approach to train Generative Adversarial Networks (GANs) in order to avoid a \textit {mode collapse} issue. Implicit models such as GANs tend to generate better samples compared to explicit models that are…

Computer Vision and Pattern Recognition · Computer Science 2021-02-09 Seyed Mehdi Iranmanesh , Nasser M. Nasrabadi

Generative adversarial networks (GANs) have received a tremendous amount of attention in the past few years, and have inspired applications addressing a wide range of problems. Despite its great potential, GANs are difficult to train.…

Machine Learning · Computer Science 2017-05-09 Zhimin Chen , Yuguang Tong

The generative adversarial network (GAN) is a well-known model for learning high-dimensional distributions, but the mechanism for its generalization ability is not understood. In particular, GAN is vulnerable to the memorization phenomenon,…

Machine Learning · Computer Science 2026-02-18 Hongkang Yang , Weinan E

Generative adversarial networks (GANs) are one of the most robust and versatile techniques in the field of generative artificial intelligence. In this work, we report on an application of GANs in the domain of synthetic spectral data…

To achieve autonomous driving without high-definition maps, we present a model capable of generating multiple plausible paths from egocentric images for autonomous vehicles. Our generative model comprises two neural networks: the feature…

Computer Vision and Pattern Recognition · Computer Science 2021-03-04 Dooseop Choi , Seung-jun Han , Kyoungwook Min , Jeongdan Choi

The solution of probabilistic inverse problems for which the corresponding forward problem is constrained by physical principles is challenging. This is especially true if the dimension of the inferred vector is large and the prior…

Machine Learning · Statistics 2023-06-09 Deep Ray , Javier Murgoitio-Esandi , Agnimitra Dasgupta , Assad A. Oberai
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