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Optimal transport is widely used to learn distributions, enforce distributional constraints, and model uncertainty. In applications, transport losses are often computed from samples through tractable representations, such as one-dimensional…

Optimization and Control · Mathematics 2026-05-28 Tam Le

Offline reinforcement learning (RL) aims at learning policies from previously collected static trajectory data without interacting with the real environment. Recent works provide a novel perspective by viewing offline RL as a generic…

Machine Learning · Computer Science 2022-10-19 Kerong Wang , Hanye Zhao , Xufang Luo , Kan Ren , Weinan Zhang , Dongsheng Li

Offline reinforcement learning seeks to utilize offline (observational) data to guide the learning of (causal) sequential decision making strategies. The hope is that offline reinforcement learning coupled with function approximation…

Machine Learning · Computer Science 2020-10-23 Ruosong Wang , Dean P. Foster , Sham M. Kakade

Recent work in offline reinforcement learning (RL) has demonstrated the effectiveness of formulating decision-making as return-conditioned supervised learning. Notably, the decision transformer (DT) architecture has shown promise across…

Machine Learning · Computer Science 2025-04-04 Tung M. Luu , Donghoon Lee , Chang D. Yoo

The hierarchical SVD provides a quasi-best low rank approximation of high dimensional data in the hierarchical Tucker framework. Similar to the SVD for matrices, it provides a fundamental but expensive tool for tensor computations. In the…

Numerical Analysis · Mathematics 2017-10-25 Benjamin Huber , Reinhold Schneider , Sebastian Wolf

Modeling and predicting the dynamics of complex multiscale systems remains a significant challenge due to their inherent nonlinearities and sensitivity to initial conditions, as well as limitations of traditional machine learning methods…

Machine Learning · Computer Science 2025-10-23 Elias Al Ghazal , Jad Mounayer , Beatriz Moya , Sebastian Rodriguez , Chady Ghnatios , Francisco Chinesta

We present a novel probabilistic deep learning approach, the 'Stochastic Latent Transformer' (SLT), designed for the efficient reduced-order modelling of stochastic partial differential equations. Stochastically driven flow models are…

Machine Learning · Computer Science 2024-06-21 Ira J. S. Shokar , Rich R. Kerswell , Peter H. Haynes

We introduce a new model for conditional and continuous data morphing called TRansport Adversarial Network for Smooth InTerpolation (TRANSIT). We apply it to create a background data template for weakly-supervised searches at the LHC. The…

High Energy Physics - Phenomenology · Physics 2025-05-27 Ivan Oleksiyuk , Svyatoslav Voloshynovskiy , Tobias Golling

This paper introduces a novel method for approximating the dynamics of a large autonomous system projected onto a fixed subspace. The core contribution is a novel recursive algorithm to construct an effective time-dependent generator that…

Quantum Physics · Physics 2025-10-24 Tommaso Grigoletto

Recent works have shown that tackling offline reinforcement learning (RL) with a conditional policy produces promising results. The Decision Transformer (DT) combines the conditional policy approach and a transformer architecture, showing…

Machine Learning · Computer Science 2023-05-26 Taku Yamagata , Ahmed Khalil , Raul Santos-Rodriguez

The tensor train (TT) rank has received increasing attention in tensor completion due to its ability to capture the global correlation of high-order tensors ($\textrm{order} >3$). For third order visual data, direct TT rank minimization has…

Computer Vision and Pattern Recognition · Computer Science 2020-04-30 Meng Ding , Ting-Zhu Huang , Xi-Le Zhao , Michael K. Ng , Tian-Hui Ma

Most offline reinforcement learning (RL) algorithms return a target policy maximizing a trade-off between (1) the expected performance gain over the behavior policy that collected the dataset, and (2) the risk stemming from the…

Machine Learning · Computer Science 2023-06-23 Zhang-Wei Hong , Pulkit Agrawal , Rémi Tachet des Combes , Romain Laroche

Practical tensor data is often along with time information. Most existing temporal decomposition approaches estimate a set of fixed factors for the objects in each tensor mode, and hence cannot capture the temporal evolution of the objects'…

Machine Learning · Computer Science 2023-11-09 Shikai Fang , Xin Yu , Shibo Li , Zheng Wang , Robert Kirby , Shandian Zhe

We introduce a novel random projection technique for efficiently reducing the dimension of very high-dimensional tensors. Building upon classical results on Gaussian random projections and Johnson-Lindenstrauss transforms~(JLT), we propose…

Machine Learning · Computer Science 2020-03-12 Beheshteh T. Rakhshan , Guillaume Rabusseau

Recent advancements in offline reinforcement learning (RL) have underscored the capabilities of Return-Conditioned Supervised Learning (RCSL), a paradigm that learns the action distribution based on target returns for each state in a…

Machine Learning · Computer Science 2023-12-22 Yuanfu Wang , Chao Yang , Ying Wen , Yu Liu , Yu Qiao

The recent success of supervised learning methods on ever larger offline datasets has spurred interest in the reinforcement learning (RL) field to investigate whether the same paradigms can be translated to RL algorithms. This research…

Machine Learning · Computer Science 2021-02-12 Mengjiao Yang , Ofir Nachum

This paper studies the low-rank property of the inverse of a class of large-scale structured matrices in the tensor-train (TT) format, which is typically discretized from differential operators. An interesting question that we are concerned…

Numerical Analysis · Mathematics 2025-01-14 Chuanfu Xiao , Kejun Tang , Zhitao Zhu

Trajectory inference seeks to recover the temporal dynamics of a population from snapshots of its (uncoupled) temporal marginals, i.e. where observed particles are not tracked over time. Prior works addressed this challenging problem under…

Machine Learning · Computer Science 2025-02-27 Anming Gu , Edward Chien , Kristjan Greenewald

In this paper, we develop a new planning method that extends the capabilities of the true online TD to allow an agent to efficiently replay all or part of its past experience, online in the sequence that they appear with, either in each…

Machine Learning · Computer Science 2025-02-03 Abdulrahman Altahhan

To maintain the accuracy of supervised learning models in the presence of evolving data streams, we provide temporally-biased sampling schemes that weight recent data most heavily, with inclusion probabilities for a given data item decaying…

Databases · Computer Science 2018-01-31 Brian Hentschel , Peter J. Haas , Yuanyuan Tian