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The Origin-Destination~(OD) networks provide an estimation of the flow of people from every region to others in the city, which is an important research topic in transportation, urban simulation, etc. Given structural regional urban…

机器学习 · 计算机科学 2023-06-12 Can Rong , Jingtao Ding , Zhicheng Liu , Yong Li

The paper presents an approach to estimate Origin-Destination (OD) flows and their path splits, based on traffic counts on links in the network. The approach called Compressive Origin-Destination Estimation (CODE) is inspired by Compressive…

系统与控制 · 计算机科学 2014-07-23 Borhan M. Sanandaji , Pravin P. Varaiya

Optimal transport has recently been brought forward as a tool for modeling and efficiently solving a variety of flow problems, such as origin-destination problems and multi-commodity flow problems. Although the framework has shown to be…

最优化与控制 · 数学 2025-07-29 Anqi Dong , Karl Henrik Johansson , Johan Karlsson

We propose a data-based method to solve a multi-stage stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The framework explicitly combines multi-stage feedback policies with any…

最优化与控制 · 数学 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

Data-driven distributionally robust optimization is a recently emerging paradigm aimed at finding a solution that is driven by sample data but is protected against sampling errors. An increasingly popular approach, known as Wasserstein…

最优化与控制 · 数学 2022-07-20 Jonathan Yu-Meng Li , Tiantian Mao

Optimal transport (OT) provides powerful tools for comparing probability measures in various types. The Wasserstein distance which arises naturally from the idea of OT is widely used in many machine learning applications. Unfortunately,…

最优化与控制 · 数学 2021-06-03 Shu Liu , Haodong Sun , Hongyuan Zha

Computing optimal transport (OT) for general high-dimensional data has been a long-standing challenge. Despite much progress, most of the efforts including neural network methods have been focused on the static formulation of the OT…

机器学习 · 统计学 2025-03-12 Chen Xu , Xiuyuan Cheng , Yao Xie

This paper presents a Wasserstein attraction approach for solving dynamic mass transport problems over networks. In the transport problem over networks, we start with a distribution over the set of nodes that needs to be "transported" to a…

最优化与控制 · 数学 2022-04-28 Ferran Arqué , César A. Uribe , Carlos Ocampo-Martinez

Macroscopic traffic flow is stochastic, but the physics-informed deep learning methods currently used in transportation literature embed deterministic PDEs and produce point-valued outputs; the stochasticity of the governing dynamics plays…

系统与控制 · 电气工程与系统科学 2026-03-11 Wuping Xin

Distributionally-robust optimization is often studied for a fixed set of distributions rather than time-varying distributions that can drift significantly over time (which is, for instance, the case in finance and sociology due to…

最优化与控制 · 数学 2020-10-01 Iman Shames , Farhad Farokhi

Time-dependent Origin-Destination (OD) demand flows are fundamental inputs for Dynamic Traffic Assignment (DTA) systems and real-time traffic management. This work introduces a novel state-space framework to estimate these demand flows in…

数据结构与算法 · 计算机科学 2019-11-21 Guido Cantelmo , Moeid Qurashi , A. Arun Prakash , Constantinos Antoniou , Francesco Viti

We present a novel framework based on optimal transport for the challenging problem of comparing graphs. Specifically, we exploit the probabilistic distribution of smooth graph signals defined with respect to the graph topology. This allows…

机器学习 · 计算机科学 2019-12-09 Hermina Petric Maretic , Mireille EL Gheche , Giovanni Chierchia , Pascal Frossard

Metropolitan scale vehicular traffic modeling is used by a variety of private and public sector urban mobility stakeholders to inform the design and operations of road networks. High-resolution stochastic traffic simulators are increasingly…

多智能体系统 · 计算机科学 2021-09-24 Neha Arora , Yi-fan Chen , Sanjay Ganapathy , Yechen Li , Ziheng Lin , Carolina Osorio , Andrew Tomkins , Iveel Tsogsuren

We propose a data-driven method to solve a stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The objective is to determine power schedules for controllable devices in a power…

最优化与控制 · 数学 2018-01-22 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler Summers

In route selection problems, the driver's personal preferences will determine whether she prefers a route with a travel time that has a relatively low mean and high variance over one that has relatively high mean and low variance. In…

最优化与控制 · 数学 2022-10-05 Rens Kamphuis , Michel Mandjes , Paulo Serra

In transportation network analysis, various types of road network data can be used even when focusing on the same region. Since different road network datasets can make different performance in analyses, it is necessary to compare them and…

计算工程、金融与科学 · 计算机科学 2026-05-21 Hengyi Zhong , Toru Seo

Modeling the traffic dynamics is essential for understanding and predicting the traffic spatiotemporal evolution. However, deriving the partial differential equation (PDE) models that capture these dynamics is challenging due to their…

系统与控制 · 电气工程与系统科学 2025-05-05 Zihang Wei , Yunlong Zhang , Chenxi Liu , Yang Zhou

This paper focuses on the contextual optimization problem where a decision is subject to some uncertain parameters and covariates that have some predictive power on those parameters are available before the decision is made. More…

最优化与控制 · 数学 2024-08-12 Zhaoen Li , Maoqi Liu , Zhi-Hai Zhang

Network traffic matrix estimation is an ill-posed linear inverse problem: it requires to estimate the unobservable origin destination traffic flows, X, given the observable link traffic flows, Y, and a binary routing matrix, A, which are…

网络与互联网体系结构 · 计算机科学 2021-12-20 Syed Muhammad Atif , Nicolas Gillis , Sameer Qazi , Imran Naseem

This study develops an online predictive optimization framework for dynamically operating a transit service in an area of crowd movements. The proposed framework integrates demand prediction and supply optimization to periodically redesign…

机器学习 · 统计学 2020-02-25 Inon Peled , Kelvin Lee , Yu Jiang , Justin Dauwels , Francisco C. Pereira