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Existing work has tackled the problem of estimating Origin-Destination (OD) demands and recovering travel latency functions in transportation networks under the Wardropian assumption. The ultimate objective is to derive an accurate…

Optimization and Control · Mathematics 2020-07-10 Salomón Wollenstein-Betech , Chuangchuang Sun , Jing Zhang , Ioannis Ch. Paschalidis

Optimal Transport (OT) is a resource allocation problem with applications in biology, data science, economics and statistics, among others. In some of the applications, practitioners have access to samples which approximate the continuous…

In many applications of optimal transport (OT), the object of primary interest is the optimal transport map. This map rearranges mass from one probability distribution to another in the most efficient way possible by minimizing a specified…

Statistics Theory · Mathematics 2025-06-25 Sivaraman Balakrishnan , Tudor Manole , Larry Wasserman

In perception tasks of automated vehicles (AVs) data-driven have often outperformed conventional approaches. This motivated us to develop a data-driven methodology to compute occupancy grid maps (OGMs) from lidar measurements. Our approach…

Robotics · Computer Science 2022-11-16 Raphael van Kempen , Bastian Lampe , Lennart Reiher , Timo Woopen , Till Beemelmanns , Lutz Eckstein

Optimal transport (OT) is a powerful geometric and probabilistic tool for finding correspondences and measuring similarity between two distributions. Yet, its original formulation relies on the existence of a cost function between the…

Machine Learning · Statistics 2020-11-09 Ievgen Redko , Titouan Vayer , Rémi Flamary , Nicolas Courty

Understanding the relationships between data points in the latent decision space derived by the deep learning system is critical to evaluating and interpreting the performance of the system on real world data. Detecting…

Machine Learning · Statistics 2025-11-20 Katie Rainey , Erin Hausmann , Donald Waagen , David Gray , Donald Hulsey

The burgeoning availability of sensing technology and location-based data is driving the expansion of analysis of human mobility networks in science and engineering research, as well as in epidemic forecasting and mitigation, urban…

Social and Information Networks · Computer Science 2024-05-02 Chia-Wei Hsu , Chenyue Liu , Kiet Minh Nguyen , Yu-Heng Chien , Ali Mostafavi

Predicting the origin-destination (OD) probability distribution of agent transfer is an important problem for managing complex systems. However, prediction accuracy of associated statistical estimators suffer from underdetermination. While…

Physics and Society · Physics 2022-07-28 Vee-Liem Saw , Luca Vismara , Suryadi , Bo Yang , Mikael Johansson , Lock Yue Chew

Freespace detection is an essential component of autonomous driving technology and plays an important role in trajectory planning. In the last decade, deep learning-based free space detection methods have been proved feasible. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Chen Min , Weizhong Jiang , Dawei Zhao , Jiaolong Xu , Liang Xiao , Yiming Nie , Bin Dai

Intra-urban origin-destination (OD) network communities evolve throughout the day, indicating changing groups of closely connected regions. Under this variation, groups of regions with high consistency of community affiliation characterize…

Physics and Society · Physics 2023-09-25 Xiao-Jian Chen , Yuhui Zhao , Chaogui Kang , Xiaoyue Xing , Quanhua Dong , Yu Liu

While High Definition (HD) Maps have long been favored for their precise depictions of static road elements, their accessibility constraints and susceptibility to rapid environmental changes impede the widespread deployment of autonomous…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Jing-Yan Liao , Parth Doshi , Zihan Zhang , David Paz , Henrik Christensen

Discriminative neural networks offer little or no performance guarantees when deployed on data not generated by the same process as the training distribution. On such out-of-distribution (OOD) inputs, the prediction may not only be…

Detecting communities in networks is important in various domains of applications. While a variety of methods exists to perform this task, recent efforts propose Optimal Transport (OT) principles combined with the geometric notion of…

Physics and Society · Physics 2022-12-01 Daniela Leite , Diego Baptista , Abdullahi Ibrahim , Enrico Facca , Caterina De Bacco

We present the Open Graph Benchmark (OGB), a diverse set of challenging and realistic benchmark datasets to facilitate scalable, robust, and reproducible graph machine learning (ML) research. OGB datasets are large-scale, encompass multiple…

Machine Learning · Computer Science 2021-02-26 Weihua Hu , Matthias Fey , Marinka Zitnik , Yuxiao Dong , Hongyu Ren , Bowen Liu , Michele Catasta , Jure Leskovec

The open-world test dataset is often mixed with out-of-distribution (OOD) samples, where the deployed models will struggle to make accurate predictions. Traditional detection methods need to trade off OOD detection and in-distribution (ID)…

Machine Learning · Computer Science 2024-04-25 Xu Shen , Yili Wang , Kaixiong Zhou , Shirui Pan , Xin Wang

Given the counters of vehicles that traverse the roads of a traffic network, we reconstruct the travel demand that generated them expressed in terms of the number of origin-destination trips made by users. We model the problem as a bi-level…

Optimization and Control · Mathematics 2022-06-02 Nicklas Sindlev Andersen , Marco Chiarandini , Kristian Debrabant

Out-of-distribution (OOD) detection is crucial when deploying deep neural networks in the real world to ensure the reliability and safety of their applications. One main challenge in OOD detection is that neural network models often produce…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Jinlun Ye , Zhuohao Sun , Yiqiao Qiu , Qiu Li , Zhijun Tan , Ruixuan Wang

Driving scene generation is a critical domain for autonomous driving, enabling downstream applications, including perception and planning evaluation. Occupancy-centric methods have recently achieved state-of-the-art results by offering…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Bohan Li , Xin Jin , Hu Zhu , Hongsi Liu , Ruikai Li , Jiazhe Guo , Kaiwen Cai , Chao Ma , Yueming Jin , Hao Zhao , Xiaokang Yang , Wenjun Zeng

Machine learning models, while progressively advanced, rely heavily on the IID assumption, which is often unfulfilled in practice due to inevitable distribution shifts. This renders them susceptible and untrustworthy for deployment in…

Machine Learning · Computer Science 2024-03-05 Han Yu , Jiashuo Liu , Xingxuan Zhang , Jiayun Wu , Peng Cui

Out-of-distribution (OOD) detection is essential to handle the distribution shifts between training and test scenarios. For a new in-distribution (ID) dataset, existing methods require retraining to capture the dataset-specific feature…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Meng Xing , Zhiyong Feng , Yong Su , Changjae Oh