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We consider the optimization problem of minimizing a functional defined over a family of probability distributions, where the objective functional is assumed to possess a variational form. Such a distributional optimization problem arises…

机器学习 · 计算机科学 2024-04-02 Zhuoran Yang , Yufeng Zhang , Yongxin Chen , Zhaoran Wang

Passenger request prediction is essential for operations planning, control, and management in ride-sharing platforms. While the demand prediction problem has been studied extensively, the Origin-Destination (OD) flow prediction of…

机器学习 · 计算机科学 2024-01-26 Aqsa Ashraf Makhdomi , Iqra Altaf Gillani

Persistence diagrams (PDs) are now routinely used to summarize the underlying topology of complex data. Despite several appealing properties, incorporating PDs in learning pipelines can be challenging because their natural geometry is not…

机器学习 · 统计学 2018-11-14 Théo Lacombe , Marco Cuturi , Steve Oudot

Day-to-day traffic dynamics are widely used to model flow evolution due to travelers' learning and adjustment behavior, yet empirical analysis of these models often relies on descriptive calibration with limited inferential content. This…

最优化与控制 · 数学 2026-05-05 Minghui Wu , Yafeng Yin , Jerome P. Lynch , Zhichen Liu

In the backbone of large-scale networks, origin-to-destination (OD) traffic flows experience abrupt unusual changes known as traffic volume anomalies, which can result in congestion and limit the extent to which end-user quality of service…

网络与互联网体系结构 · 计算机科学 2013-10-01 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

We introduce a framework for defining and interpreting collective mobility measures from spatially and temporally aggregated origin--destination (OD) data. Rather than characterizing individual behavior, these measures describe properties…

应用统计 · 统计学 2026-01-21 Alisha Foster , David A. Meyer , Asif Shakeel

Optimal transport provides an inherently geometric and highly structured framework for studying spaces of probability measures, supplying a rich theoretical toolkit for contemporary statistics, machine learning, and generative modelling. In…

统计理论 · 数学 2026-05-21 Riccardo Passeggeri , Rohan M. Shenoy , Pengcheng Ye

We provide theoretical complexity analysis for new algorithms to compute the optimal transport (OT) distance between two discrete probability distributions, and demonstrate their favorable practical performance over state-of-art primal-dual…

数据结构与算法 · 计算机科学 2020-06-16 Wenshuo Guo , Nhat Ho , Michael I. Jordan

Long-term traffic modelling is fundamental to transport planning, but existing approaches often trade off interpretability, transferability, and predictive accuracy. Classical travel demand models provide behavioural structure but rely on…

机器学习 · 计算机科学 2026-03-30 Yue Li , Shujuan Chen , Akihiro Shimoda , Ying Jin

With the increasing availability of data objects in the form of probability distributions, there is a growing need for statistical methods tailored to distributional data. Distance measures, especially the pairwise distance matrix between…

统计方法学 · 统计学 2026-03-03 Edward Shao , Junyoung Park , Naresh Punjabi , Hui Jiang , Irina Gaynanova

We propose a Bayesian inference approach for static Origin-Destination (OD)-estimation in large-scale networked transit systems. The approach finds posterior distribution estimates of the OD-coefficients, which describe the relative…

应用统计 · 统计学 2021-05-28 Steffen O. P. Blume , Francesco Corman , Giovanni Sansavini

Domain adaptation (DA) is an important and emerging field of machine learning that tackles the problem occurring when the distributions of training (source domain) and test (target domain) data are similar but different. Current theoretical…

机器学习 · 统计学 2017-08-01 Ievgen Redko , Amaury Habrard , Marc Sebban

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…

统计理论 · 数学 2021-07-20 Tianyi Lin , Zeyu Zheng , Elynn Y. Chen , Marco Cuturi , Michael I. Jordan

Optimal transportation, or computing the Wasserstein or ``earth mover's'' distance between two distributions, is a fundamental primitive which arises in many learning and statistical settings. We give an algorithm which solves this problem…

数据结构与算法 · 计算机科学 2019-06-04 Arun Jambulapati , Aaron Sidford , Kevin Tian

Origin-destination (OD) flow, which contains valuable population mobility information including direction and volume, is critical in many urban applications, such as urban planning, transportation management, etc. However, OD data is not…

机器学习 · 计算机科学 2023-06-07 Can Rong , Huandong Wang , Yong Li

OD matrix estimation is a critical problem in the transportation domain. The principle method uses the traffic sensor measured information such as traffic counts to estimate the traffic demand represented by the OD matrix. The problem is…

机器学习 · 计算机科学 2023-07-13 Zheli Xiong , Defu Lian , Enhong Chen , Gang Chen , Xiaomin Cheng

In this work, we propose a numerical method to compute the Wasserstein Hamiltonian flow (WHF), which is a Hamiltonian system on the probability density manifold. Many well-known PDE systems can be reformulated as WHFs. We use parameterized…

数值分析 · 数学 2023-07-18 Hao Wu , Shu Liu , Xiaojing Ye , Haomin Zhou

Opportunistic mobile networks consisting of intermittently connected mobile devices have been exploited for various applications, such as computational offloading and mitigating cellular traffic load. In contrast to existing work, in this…

网络与互联网体系结构 · 计算机科学 2017-03-28 Zongqing Lu , Xiao Sun , Thomas La Porta

Traffic forecasting, which benefits from mobile Internet development and position technologies, plays a critical role in Intelligent Transportation Systems. It helps to implement rich and varied transportation applications and bring…

机器学习 · 计算机科学 2023-10-26 Chengzhi Yao , Zhi Li , Junbo Wang

Traffic assignment and traffic flow prediction provide critical insights for urban planning, traffic management, and the development of intelligent transportation systems. An efficient model for calculating traffic flows over the entire…

机器学习 · 计算机科学 2024-08-09 Tong Liu , Hadi Meidani