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Optimal transport and Wasserstein distances are flourishing in many scientific fields as a means for comparing and connecting random structures. Here we pioneer the use of an optimal transport distance between L\'{e}vy measures to solve a…

Statistics Theory · Mathematics 2023-09-18 Marta Catalano , Hugo Lavenant , Antonio Lijoi , Igor Prünster

This work focuses on learning useful and robust deep world models using multiple, possibly unreliable, sensors. We find that current methods do not sufficiently encourage a shared representation between modalities; this can cause poor…

Machine Learning · Computer Science 2021-07-07 Kaiqi Chen , Yong Lee , Harold Soh

The success of Reinforcement Learning (RL) heavily relies on the ability to learn robust representations from the observations of the environment. In most cases, the representations learned purely by the reinforcement learning loss can…

Machine Learning · Computer Science 2024-02-12 Somjit Nath , Rushiv Arora , Samira Ebrahimi Kahou

This paper explores the problem of generative modeling, aiming to simulate diverse examples from an unknown distribution based on observed examples. While recent studies have focused on quantifying the statistical precision of popular…

Statistics Theory · Mathematics 2024-06-07 Elen Vardanyan , Sona Hunanyan , Tigran Galstyan , Arshak Minasyan , Arnak Dalalyan

Learning with an objective to minimize the mismatch with a reference distribution has been shown to be useful for generative modeling and imitation learning. In this paper, we investigate whether one such objective, the Wasserstein-1…

Machine Learning · Computer Science 2021-10-29 Ishan Durugkar , Mauricio Tec , Scott Niekum , Peter Stone

Unsupervised reinforcement learning aims to train agents to learn a handful of policies or skills in environments without external reward. These pre-trained policies can accelerate learning when endowed with external reward, and can also be…

Machine Learning · Computer Science 2021-10-18 Shuncheng He , Yuhang Jiang , Hongchang Zhang , Jianzhun Shao , Xiangyang Ji

Learning disentangled representations requires either supervision or the introduction of specific model designs and learning constraints as biases. InfoGAN is a popular disentanglement framework that learns unsupervised disentangled…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Xiao Liu , Spyridon Thermos , Pedro Sanchez , Alison Q. O'Neil , Sotirios A. Tsaftaris

The information bottleneck principle is an elegant and useful approach to representation learning. In this paper, we investigate the problem of representation learning in the context of reinforcement learning using the information…

Machine Learning · Computer Science 2019-11-14 Pei Yingjun , Hou Xinwen

Robust Reinforcement Learning aims to find the optimal policy with some extent of robustness to environmental dynamics. Existing learning algorithms usually enable the robustness through disturbing the current state or simulating…

Machine Learning · Computer Science 2020-06-02 Linfang Hou , Liang Pang , Xin Hong , Yanyan Lan , Zhiming Ma , Dawei Yin

Many learning paradigms self-select training data in light of previously learned parameters. Examples include active learning, semi-supervised learning, bandits, or boosting. Rodemann et al. (2024) unify them under the framework of…

Machine Learning · Computer Science 2025-05-13 Julian Rodemann , James Bailie

The performance of machine learning (ML) models critically depends on the quality and representativeness of the training data. In applications with multiple heterogeneous data generating sources, standard ML methods often learn spurious…

In this paper, we investigate the underlying factor that leads to failure and success in the training of GANs. We study the property of the optimal discriminative function and show that in many GANs, the gradient from the optimal…

Machine Learning · Computer Science 2018-12-27 Zhiming Zhou , Yuxuan Song , Lantao Yu , Hongwei Wang , Jiadong Liang , Weinan Zhang , Zhihua Zhang , Yong Yu

Learning conditional densities and identifying factors that influence the entire distribution are vital tasks in data-driven applications. Conventional approaches work mostly with summary statistics, and are hence inadequate for a…

Methodology · Statistics 2022-09-13 Chengliang Tang , Nathan Lenssen , Ying Wei , Tian Zheng

Generative adversarial nets (GANs) and variational auto-encoders have significantly improved our distribution modeling capabilities, showing promise for dataset augmentation, image-to-image translation and feature learning. However, to…

This work considers two distinct settings: imitation learning and goal-conditioned reinforcement learning. In either case, effective solutions require the agent to reliably reach a specified state (a goal), or set of states (a…

Machine Learning · Computer Science 2020-02-18 Yannick Schroecker , Charles Isbell

In this work, we introduce a novel framework for privately optimizing objectives that rely on Wasserstein distances between data-dependent empirical measures. Our main theoretical contribution is, based on an explicit formulation of the…

Machine Learning · Computer Science 2025-05-22 David Rodríguez-Vítores , Clément Lalanne , Jean-Michel Loubes

We examine the impact of learning Lipschitz continuous models in the context of model-based reinforcement learning. We provide a novel bound on multi-step prediction error of Lipschitz models where we quantify the error using the…

Machine Learning · Computer Science 2018-07-30 Kavosh Asadi , Dipendra Misra , Michael L. Littman

Unsupervised reinforcement learning (URL) aims to learn general skills for unseen downstream tasks. Mutual Information Skill Learning (MISL) addresses URL by maximizing the mutual information between states and skills but lacks sufficient…

Machine Learning · Computer Science 2025-06-13 Yucheng Yang , Tianyi Zhou , Qiang He , Lei Han , Mykola Pechenizkiy , Meng Fang

We study the inverse optimal control problem in social sciences: we aim at learning a user's true cost function from the observed temporal behavior. In contrast to traditional phenomenological works that aim to learn a generative model to…

Machine Learning · Computer Science 2018-05-23 Yichen Wang , Le Song , Hongyuan Zha

We study expected generalization bounds for the Hierarchical Federated Learning (HFL) setup using Wasserstein distance. We introduce a generalized framework in which data is sampled hierarchically, and we model it with a multi-layered tree…

Machine Learning · Computer Science 2026-05-06 Dario Filatrella , Ragnar Thobaben , Mikael Skoglund