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When deploying a trained machine learning model in the real world, it is inevitable to receive inputs from out-of-distribution (OOD) sources. For instance, in continual learning settings, it is common to encounter OOD samples due to the…

Machine Learning · Computer Science 2024-01-23 Chuanwen Feng , Wenlong Chen , Ao Ke , Yilong Ren , Xike Xie , S. Kevin Zhou

We introduce SPOT, an object-centric imitation learning framework. The key idea is to capture each task by an object-centric representation, specifically the SE(3) object pose trajectory relative to the target. This approach decouples…

Robotics · Computer Science 2025-05-15 Cheng-Chun Hsu , Bowen Wen , Jie Xu , Yashraj Narang , Xiaolong Wang , Yuke Zhu , Joydeep Biswas , Stan Birchfield

Optimal transport (OT) finds a least cost transport plan between two probability distributions using a cost matrix defined on pairs of points. Unlike standard OT, which infers unstructured pointwise mappings, low-rank optimal transport…

Machine Learning · Computer Science 2026-03-05 Henri Schmidt , Peter Halmos , Ben Raphael

We propose TAROT, a targeted data selection framework grounded in optimal transport theory. Previous targeted data selection methods primarily rely on influence-based greedy heuristics to enhance domain-specific performance. While effective…

Machine Learning · Computer Science 2025-07-04 Lan Feng , Fan Nie , Yuejiang Liu , Alexandre Alahi

Optimal transport (OT) is known to be sensitive against outliers because of its marginal constraints. Outlier robust OT variants have been proposed based on the definition that outliers are samples which are expensive to move. In this…

Machine Learning · Statistics 2022-06-27 Kilian Fatras

Out-of-distribution (OOD) detection is crucial for ensuring the reliability and safety of machine learning models in real-world applications. While zero-shot OOD detection, which requires no training on in-distribution (ID) data, has become…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Yu Liu , Hao Tang , Haiqi Zhang , Jing Qin , Zechao Li

The optimal transport (OT) map is a geometry-driven transformation between high-dimensional probability distributions which underpins a wide range of tasks in statistics, applied probability, and machine learning. However, existing…

Machine Learning · Statistics 2025-12-11 Sloan Nietert , Ziv Goldfeld

Detecting Out-of-Distribution (OOD) inputs is crucial for improving the reliability of deep neural networks in the real-world deployment. In this paper, inspired by the inherent distribution shift between ID and OOD data, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2024-10-11 Ao Ke , Wenlong Chen , Chuanwen Feng , Yukun Cao , Xike Xie , S. Kevin Zhou , Lei Feng

We introduce the Approximated Optimal Transport (AOT) technique, a novel training scheme for diffusion-based generative models. Our approach aims to approximate and integrate optimal transport into the training process, significantly…

Computer Vision and Pattern Recognition · Computer Science 2024-03-11 Daegyu Kim , Jooyoung Choi , Chaehun Shin , Uiwon Hwang , Sungroh Yoon

Optimal transport (OT) theory has attracted much attention in machine learning and signal processing applications. OT defines a notion of distance between probability distributions of source and target data points. A crucial factor that…

Machine Learning · Computer Science 2024-09-17 Pratik Jawanpuria , Dai Shi , Bamdev Mishra , Junbin Gao

Out-of-distribution (OOD) data poses serious challenges in deployed machine learning models as even subtle changes could incur significant performance drops. Being able to estimate a model's performance on test data is important in practice…

Machine Learning · Computer Science 2023-02-13 Yuzhe Lu , Zhenlin Wang , Runtian Zhai , Soheil Kolouri , Joseph Campbell , Katia Sycara

This paper addresses an Optimal Transport (OT)-based efficient multi-robot exploration problem, considering the energy constraints of a multi-robot system. The efficiency in this problem implies how a team of robots (agents) covers a given…

Systems and Control · Electrical Eng. & Systems 2020-09-03 Rabiul Hasan Kabir , Kooktae Lee

Clinical trials are essential to drug development but time-consuming, costly, and prone to failure. Accurate trial outcome prediction based on historical trial data promises better trial investment decisions and more trial success. Existing…

Machine Learning · Computer Science 2023-04-12 Zifeng Wang , Cao Xiao , Jimeng Sun

Optimal Transport (OT) theory investigates the cost-minimizing transport map that moves a source distribution to a target distribution. Recently, several approaches have emerged for learning the optimal transport map for a given cost…

Machine Learning · Computer Science 2025-04-01 Jaemoo Choi , Yongxin Chen , Jaewoong Choi

Optimal transport (OT) is a powerful geometric tool for comparing two distributions and has been employed in various machine learning applications. In this work, we propose a novel OT formulation that takes feature correlations into account…

Machine Learning · Computer Science 2021-10-08 Pratik Jawanpuria , N T V Satyadev , Bamdev Mishra

Optimal transport (OT) has become exceedingly popular in machine learning, data science, and computer vision. The core assumption in the OT problem is the equal total amount of mass in source and target measures, which limits its…

Machine Learning · Computer Science 2023-08-08 Yikun Bai , Berhnard Schmitzer , Mathew Thorpe , Soheil Kolouri

We consider statistical learning problems in which data are observed as a set of probability measures. Optimal transport (OT) is a popular tool to compare and manipulate such objects, but its computational cost becomes prohibitive when the…

Machine Learning · Statistics 2026-03-24 Erell Gachon , Elsa Cazelles , Jérémie Bigot

Few-shot classification aims to learn a classifier to recognize unseen classes during training, where the learned model can easily become over-fitted based on the biased distribution formed by only a few training examples. A recent solution…

Machine Learning · Computer Science 2022-10-11 Dandan Guo , Long Tian , He Zhao , Mingyuan Zhou , Hongyuan Zha

Transport systems on networks are crucial in various applications, but face a significant risk of being adversely affected by unforeseen circumstances such as disasters. The application of entropy-regularized optimal transport (OT) on graph…

Machine Learning · Computer Science 2025-05-07 Koshi Oishi , Yota Hashizume , Tomohiko Jimbo , Hirotaka Kaji , Kenji Kashima

Dynamical formulations of optimal transport (OT) frame the task of comparing distributions as a variational problem which searches for a path between distributions minimizing a kinetic energy functional. In applications, it is frequently…

Optimization and Control · Mathematics 2025-12-11 Martin Bauer , Nicolas Charon , Tom Needham , Mao Nishino