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Optimal transport (OT) is a powerful tool for measuring the distance between two defined probability distributions. In this paper, we develop a new manifold named the coupling matrix manifold (CMM), where each point on CMM can be regarded…

Machine Learning · Computer Science 2019-11-26 Dai Shi , Junbin Gao , Xia Hong , S. T. Boris Choy , Zhiyong Wang

Optimal Transport (OT) has proven effective for domain adaptation (DA) by aligning distributions across domains with differing statistical properties. Building on the approach of Courty et al. (2016), who mapped source data to the target…

Machine Learning · Statistics 2025-05-15 Brian Britos , Mathias Bourel

An emerging area of research is the study of macroscale migration patterns as a network of nodes that represent places (e.g., countries, cities, and rural areas) and edges that encode migration ties that connect those places. In this…

Social and Information Networks · Computer Science 2020-05-28 Valentin Danchev , Mason A. Porter

Large-scale human mobility datasets play increasingly critical roles in many algorithmic systems, business processes and policy decisions. Unfortunately there has been little focus on understanding bias and other fundamental shortcomings of…

Computers and Society · Computer Science 2025-08-04 Katinka den Nijs , Elisa Omodei , Vedran Sekara

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

Deep neural networks are increasingly used in a wide range of technologies and services, but remain highly susceptible to out-of-distribution (OOD) samples, that is, drawn from a different distribution than the original training set. A…

Machine Learning · Computer Science 2024-04-17 Pietro Recalcati , Fabio Garcea , Luca Piano , Fabrizio Lamberti , Lia Morra

In image classification, a lot of development has happened in detecting out-of-distribution (OoD) data. However, most OoD detection methods are evaluated on a standard set of datasets, arbitrarily different from training data. There is no…

Computer Vision and Pattern Recognition · Computer Science 2022-09-27 Jishnu Mukhoti , Tsung-Yu Lin , Bor-Chun Chen , Ashish Shah , Philip H. S. Torr , Puneet K. Dokania , Ser-Nam Lim

Distribution shifts on graphs -- the discrepancies in data distribution between training and employing a graph machine learning model -- are ubiquitous and often unavoidable in real-world scenarios. These shifts may severely deteriorate…

Machine Learning · Computer Science 2025-03-31 Kexin Zhang , Shuhan Liu , Song Wang , Weili Shi , Chen Chen , Pan Li , Sheng Li , Jundong Li , Kaize Ding

Transportation networks serve as windows into the complex world of urban systems. By properly characterizing a road network, we can therefore better understand its encompassing urban system. This study offers a geometrical approach towards…

Physics and Society · Physics 2015-07-15 Farideddin Peiravian , Sybil Derrible

This paper studies the problem of estimating origin-destination (OD) flows from link flows. As the number of link flows is typically much less than that of OD flows, the inverse problem is severely ill-posed and hence prior information is…

Computational Engineering, Finance, and Science · Computer Science 2018-10-16 Jingyuan Xia , Wei Dai , John Polak , Michel Bierlaire

To continuously monitor mobility flows aboard public transportation, low-cost data collection methods based on the passive detection of Wi-Fi signals are promising technological solutions, but they yield uncertain results. We assess the…

Methodology · Statistics 2025-03-14 Léa Fabre , Caroline Bayart , Alexandre Nicolas , Patrick Bonnel

Optimal transport distances have become a classic tool to compare probability distributions and have found many applications in machine learning. Yet, despite recent algorithmic developments, their complexity prevents their direct use on…

Machine Learning · Statistics 2021-01-07 Kilian Fatras , Younes Zine , Szymon Majewski , Rémi Flamary , Rémi Gribonval , Nicolas Courty

Districting-and-routing is a strategic problem aiming to aggregate basic geographical units (e.g., zip codes) into delivery districts. Its goal is to minimize the expected long-term routing cost of performing deliveries in each district…

Optimization and Control · Mathematics 2026-02-11 Arthur Ferraz , Cheikh Ahmed , Quentin Cappart , Thibaut Vidal

Optimal Transport (OT) problem investigates a transport map that bridges two distributions while minimizing a given cost function. In this regard, OT between tractable prior distribution and data has been utilized for generative modeling…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Jaemoo Choi , Jaewoong Choi , Myungjoo Kang

Recent advances in data collection and technology enable a deeper understanding of complex urban commuting, yet few studies have rigorously analyzed the temporal stability and Origin-Destination (OD) heterogeneity of route choice. To…

Physics and Society · Physics 2025-10-15 Yixuan Y Zheng , Hideki Takayasu , Misako Takayasu

This study presents a novel integrated framework for dynamic origin-destination demand estimation (DODE) in multi-class mesoscopic network models, incorporating high-resolution satellite imagery together with conventional traffic data from…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Jiachao Liu , Pablo Guarda , Koichiro Niinuma , Sean Qian

Origin-Destination Estimation plays an important role in the era of Intelligent Transportation. Nevertheless, as a under-determined problem, OD estimation confronts many challenges from cross-space inference to non-convex, non-linear…

Machine Learning · Computer Science 2022-08-24 Guanzhou Li , Yujing He , Jianping Wu , Duowei Li

Graph machine learning has been extensively studied in both academia and industry. Although booming with a vast number of emerging methods and techniques, most of the literature is built on the in-distribution hypothesis, i.e., testing and…

Machine Learning · Computer Science 2023-01-02 Haoyang Li , Xin Wang , Ziwei Zhang , Wenwu Zhu

Human migration is a type of human mobility, where a trip involves a person moving with the intention of changing their home location. Predicting human migration as accurately as possible is important in city planning applications,…

Social and Information Networks · Computer Science 2017-11-16 Caleb Robinson , Bistra Dilkina

Understanding and predicting mobility dynamics in transportation networks is critical for infrastructure planning, resilience analysis, and traffic management. Traditional graph-based models typically assume memoryless movement, limiting…

Social and Information Networks · Computer Science 2025-07-11 Chen Zhang , Jürgen Hackl