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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

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

Imputation of random or non-random missing data is a long-standing research topic and a crucial application for Intelligent Transportation Systems (ITS). However, with the advent of modern communication technologies such as Global Satellite…

Machine Learning · Computer Science 2025-09-29 Yihang Lu , Mahwish Yousaf , Xianwei Meng , Enhong Chen

We propose a new regularized optimal transport (OT) formulation, termed sliced-regularized optimal transport (SROT). Unlike entropic OT (EOT), which regularizes the transport plan toward an independent coupling, SROT regularizes it toward a…

Machine Learning · Statistics 2026-05-21 Khai Nguyen

Single-cell RNA-sequencing captures a temporal slice, or a snapshot, of a cell differentiation process. A major bioinformatical challenge is the inference of differentiation trajectories from a single snapshot, and methods that account for…

Quantitative Methods · Quantitative Biology 2025-02-11 Magnus Tronstad , Johan Karlsson , Joakim S. Dahlin

Causal abstraction offers a principled framework for mechanistic interpretability, aligning a high-level causal model with the low-level computation realized by a neural network through counterfactual intervention analysis. Existing methods…

Machine Learning · Computer Science 2026-05-11 Jonathn Chang , Arya Datla , Ziv Goldfeld

Missing data has a ubiquitous presence in real-life applications of machine learning techniques. Imputation methods are algorithms conceived for restoring missing values in the data, based on other entries in the database. The choice of the…

Machine Learning · Computer Science 2017-08-16 Unai Garciarena , Roberto Santana , Alexander Mendiburu

Large-scale integration of electric vehicles (EVs) leads to a tighter integration between transportation and electric energy systems. In this paper, we develop a novel integer-clustering approach to model a large number of EVs that manages…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Sijia Geng , Thomas Lee , Dharik Mallapragada , Audun Botterud

Joint analysis of multi-omic single-cell data across cohorts has significantly enhanced the comprehensive analysis of cellular processes. However, most of the existing approaches for this purpose require access to samples with complete…

Machine Learning · Computer Science 2024-05-21 Marianne Arriola , Weishen Pan , Manqi Zhou , Qiannan Zhang , Chang Su , Fei Wang

Out-of-distribution (OOD) data poses serious challenges in deployed machine learning models, so methods of predicting a model's performance on OOD data without labels are important for machine learning safety. While a number of methods have…

We set out the novel bottom up procedure to aggregate or cluster cells with small frequency counts together, in a two way classification while maintaining dependence in the table. The procedure is model free. It combines cells in a table…

Methodology · Statistics 2023-02-24 Geraard Keogh

Multimodal ophthalmic imaging-based diagnosis integrates color fundus image with optical coherence tomography (OCT) to provide a comprehensive view of ocular pathologies. However, the uneven global distribution of healthcare resources often…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Qinkai Yu , Jianyang Xie , Yitian Zhao , Cheng Chen , Lijun Zhang , Liming Chen , Jun Cheng , Lu Liu , Yalin Zheng , Yanda Meng

This paper describes a novel paradigm that formalizes automatic piano transcription (APT) as an optimal transport (OT) problem, not as a frame-level multi-label binary classification problem. Our method learns to minimize the cost of…

Sound · Computer Science 2026-05-19 Weixing Wei , Raynaldi Lalang , Dichucheng Li , Kazuyoshi Yoshii

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

Optimal transport (OT) is a widely used technique for distribution alignment, with applications throughout the machine learning, graphics, and vision communities. Without any additional structural assumptions on trans-port, however, OT can…

Machine Learning · Computer Science 2021-07-20 Chi-Heng Lin , Mehdi Azabou , Eva L. Dyer

When working with tabular data, missingness is always one of the most painful problems. Throughout many years, researchers have continuously explored better and better ways to impute missing data. Recently, with the rapid development…

Machine Learning · Computer Science 2025-09-09 Tin Luu , Binh Nguyen , Man Ngo

This paper addresses the problem of coordination of a fleet of mobile robots - the problem of finding an optimal set of collision-free trajectories for individual robots in the fleet. Many approaches have been introduced during the last…

Robotics · Computer Science 2019-01-23 Jakub Hvězda , Miroslav Kulich , Libor Přeučil

Unsupervised action segmentation has recently pushed its limits with ASOT, an optimal transport (OT)-based method that simultaneously learns action representations and performs clustering using pseudo-labels. Unlike other OT-based…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Elena Bueno-Benito , Mariella Dimiccoli

Recovering the dynamics from a few snapshots of a high-dimensional system is a challenging task in statistical physics and machine learning, with important applications in computational biology. Many algorithms have been developed to tackle…

Machine Learning · Computer Science 2025-10-28 Yuhao Sun , Zhenyi Zhang , Zihan Wang , Tiejun Li , Peijie Zhou

The problem of missing data has been persistent for a long time and poses a major obstacle in machine learning and statistical data analysis. Past works in this field have tried using various data imputation techniques to fill in the…

Machine Learning · Computer Science 2020-11-20 Rishab Khincha , Utkarsh Sarawgi , Wazeer Zulfikar , Pattie Maes