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Optimal transport (OT) distances are increasingly used as loss functions for statistical inference, notably in the learning of generative models or supervised learning. Yet, the behavior of minimum Wasserstein estimators is poorly…

Statistics Theory · Mathematics 2021-07-20 Tianyi Lin , Zeyu Zheng , Elynn Y. Chen , Marco Cuturi , Michael I. Jordan

Freight consolidation has significant potential to reduce transportation costs and mitigate congestion and pollution. An effective load consolidation plan relies on carefully chosen consolidation points to ensure alignment with existing…

Machine Learning · Computer Science 2025-04-15 Sikai Cheng , Amira Hijazi , Jeren Konak , Alan Erera , Pascal Van Hentenryck

Accurate trajectory prediction is essential for the safe operation of autonomous vehicles in real-world environments. Even well-trained machine learning models may produce unreliable predictions due to discrepancies between training data…

Robotics · Computer Science 2025-04-24 Tongfe Guo , Taposh Banerjee , Rui Liu , Lili Su

Accurate load prediction is an effective way to reduce power system operation costs. Traditionally, the mean square error (MSE) is a common-used loss function to guide the training of an accurate load forecasting model. However, the MSE…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Jialun Zhang , Yi Wang , Gabriela Hug

Spatio-temporal alignment is crucial for temporal modeling of end-to-end (E2E) perception in autonomous driving (AD), providing valuable structural and textural prior information. Existing methods typically rely on the attention mechanism…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Xiaoyu Li , Peidong Li , Xian Wu , Long Shi , Dedong Liu , Yitao Wu , Jiajia Fu , Dixiao Cui , Lijun Zhao , Lining Sun

Estimating the travel time of a path is an essential topic for intelligent transportation systems. It serves as the foundation for real-world applications, such as traffic monitoring, route planning, and taxi dispatching. However, building…

Machine Learning · Computer Science 2022-07-05 Zhiwen Zhang , Hongjun Wang , Jiyuan Chen , Zipei Fan , Xuan Song , Ryosuke Shibasaki

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

Accurately predicting spatio-temporal network traffic is essential for dynamically managing computing resources in modern communication systems and minimizing energy consumption. Although spatio-temporal traffic prediction has received…

Machine Learning · Computer Science 2026-03-24 Xintong Wang , Haihan Nan , Ruidong Li , Huaming Wu

Training data are usually limited or heterogeneous in many chemical and biological applications. Existing machine learning models for chemistry and materials science fail to consider generalizing beyond training domains. In this article, we…

Machine Learning · Computer Science 2023-10-31 Fang Wu , Nicolas Courty , Shuting Jin , Stan Z. Li

We present a study on connection errors in networks of linear features and methods of error detection. We model networks with special connection specifications as networks with hierarchically connected features and define errors considering…

Data Structures and Algorithms · Computer Science 2015-04-07 Panteleimon Rodis

This paper addresses the limitations of standard uncertainty models, e.g., robust (norm-bounded) and stochastic (one fixed distribution, e.g., Gaussian), and proposes to model uncertainty via Optimal Transport (OT) ambiguity sets. These…

Optimization and Control · Mathematics 2023-09-08 Liviu Aolaritei , Nicolas Lanzetti , Hongruyu Chen , Florian Dörfler

Spatio-temporal traffic forecasting is a core component of intelligent transportation systems, supporting various downstream tasks such as signal control and network-level traffic management. In real-world deployments, forecasting models…

Machine Learning · Computer Science 2026-02-17 Yue Wang , Areg Karapetyan , Djellel Difallah , Samer Madanat

In this paper, we propose a novel methodology for path planning and scheduling for multi-robot navigation that is based on optimal transport theory and model predictive control. We consider a setup where $N$ robots are tasked to navigate to…

Robotics · Computer Science 2025-09-01 Usman A. Khan , Mouhacine Benosman , Wenliang Liu , Federico Pecora , Joseph W. Durham

Spatiotemporal neural networks have shown great promise in urban scenarios by effectively capturing temporal and spatial correlations. However, urban environments are constantly evolving, and current model evaluations are often limited to…

Machine Learning · Computer Science 2024-10-10 Hongjun Wang , Jiyuan Chen , Tong Pan , Zheng Dong , Lingyu Zhang , Renhe Jiang , Xuan Song

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…

This paper investigates the problem of informative path planning for a mobile robotic sensor network in spatially temporally distributed mapping. The robots are able to gather noisy measurements from an area of interest during their…

As a powerful technique in generative modeling, Flow Matching (FM) aims to learn velocity fields from noise to data, which is often explained and implemented as solving Optimal Transport (OT) problems. In this study, we bridge FM and the…

Machine Learning · Computer Science 2025-12-23 Angxiao Yue , Anqi Dong , Hongteng Xu

3D multi-object tracking aims to uniquely and consistently identify all mobile entities through time. Despite the rich spatiotemporal information available in this setting, current 3D tracking methods primarily rely on abstracted…

Computer Vision and Pattern Recognition · Computer Science 2022-07-14 Colton Stearns , Davis Rempe , Jie Li , Rares Ambrus , Sergey Zakharov , Vitor Guizilini , Yanchao Yang , Leonidas J Guibas

Spatial-temporal prediction is a fundamental problem for constructing smart city, which is useful for tasks such as traffic control, taxi dispatching, and environmental policy making. Due to data collection mechanism, it is common to see…

Machine Learning · Computer Science 2020-08-25 Huaxiu Yao , Yiding Liu , Ying Wei , Xianfeng Tang , Zhenhui Li

Nowadays, the Internet of Things (IoT) has become one of the most important technologies which enables a variety of connected and intelligent applications in smart cities. The smart decision making process of IoT devices not only relies on…

Machine Learning · Computer Science 2022-10-17 Hongde Wu