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Non-Exemplar Continual Graph Learning (NECGL) seeks to eliminate the privacy risks intrinsic to rehearsal-based paradigms by retaining solely class-level prototype representations rather than raw graph examples for mitigating catastrophic…

Machine Learning · Computer Science 2026-04-06 Lei Song , Shihan Guan , Youyong Kong

Floating car data of car-following behavior in cities were compared to existing microsimulation models, after their parameters had been calibrated to the experimental data. With these parameter values, additional simulations have been…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Benno Tilch

The climate belongs to the class of non-equilibrium forced and dissipative systems, for which most results of quasi-equilibrium statistical mechanics, including the fluctuation-dissipation theorem, do not apply. We show for the first time…

Statistical Mechanics · Physics 2011-10-11 Valerio Lucarini , Stefania Sarno

Supervised graph prediction addresses regression problems where the outputs are structured graphs. Although several approaches exist for graph-valued prediction, principled uncertainty quantification remains limited. We propose a conformal…

Machine Learning · Statistics 2026-03-30 Gabriel Melo , Thibaut de Saivre , Anna Calissano , Florence d'Alché-Buc

We derive a nonlinear 2-equation discrete-velocity model for traffic flow from a continuous kinetic model. The model converges to scalar Lighthill-Whitham type equations in the relaxation limit for all ranges of traffic data. Moreover, the…

Analysis of PDEs · Mathematics 2017-10-18 Raul Borsche , Axel Klar

Automated vehicles are gradually entering people's daily life to provide a comfortable driving experience for the users. The generic and user-agnostic automated vehicles have limited ability to accommodate the different driving styles of…

Human-Computer Interaction · Computer Science 2022-08-18 Shili Sheng , Erfan Pakdamanian , Kyungtae Han , Ziran Wang , Lu Feng

Normalizing flows have emerged as a powerful brand of generative models, as they not only allow for efficient sampling of complicated target distributions but also deliver density estimation by construction. We propose here an in-depth…

Machine Learning · Statistics 2025-08-05 Andrea Coccaro , Marco Letizia , Humberto Reyes-Gonzalez , Riccardo Torre

This paper develops boundary feedback control laws in order to damp out traffic oscillations in the congested regime of the linearized two-class Aw-Rascle (AR) traffic model. The macroscopic second-order two-class AR traffic model consists…

Optimization and Control · Mathematics 2019-05-17 Mark Burkhardt , Huan Yu , Miroslav Krstic

Generalized autoregressive score (GAS) models are a class of observation-driven time series models that employ the score to dynamically update time-varying parameters of the underlying probability distribution. GAS models have been…

Computation · Statistics 2024-05-09 Vladimír Holý

We study the derivation of macroscopic traffic models out of optimal speed and follow-the-leader particle dynamics as hydrodynamic limits of non-local Povzner-type kinetic equations. As a first step, we show that optimal speed vehicle…

Statistical Mechanics · Physics 2023-03-13 Felisia Angela Chiarello , Andrea Tosin

In the classical supervised learning settings, classifiers are fit with the assumption of balanced label distributions and produce remarkable results on the same. In the real world, however, these assumptions often bend and in turn…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Aboli Marathe , Sanjana Prabhu

With rapidly increasing of the land development density along suburban arterials, much more irregular signal spacing appeared on suburban arterials, and high access density is commonly observed on suburban arterials. These issues tend to…

Applications · Statistics 2018-05-23 Jinghui Yuan , Xuesong Wang

Navigating heterogeneous traffic environments with diverse driving styles poses a significant challenge for autonomous vehicles (AVs) due to their inherent complexity and dynamic interactions. This paper addresses this challenge by…

Artificial Intelligence · Computer Science 2025-10-01 Qi Liu , Xueyuan Li , Zirui Li , Juhui Gim

Autonomous vehicle navigation in shared pedestrian environments requires the ability to predict future crowd motion both accurately and with minimal delay. Understanding the uncertainty of the prediction is also crucial. Most existing…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Kunming Li , Stuart Eiffert , Mao Shan , Francisco Gomez-Donoso , Stewart Worrall , Eduardo Nebot

Graph attention networks estimate the relational importance of node neighbors to aggregate relevant information over local neighborhoods for a prediction task. However, the inferred attentions are vulnerable to spurious correlations and…

Machine Learning · Computer Science 2023-03-02 Alexander P. Wu , Thomas Markovich , Bonnie Berger , Nils Hammerla , Rohit Singh

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

Probability · Mathematics 2021-02-11 Michel Mandjes , Jaap Storm

Past research and practice have demonstrated that dynamic rerouting framework is effective in mitigating urban traffic congestion and thereby improve urban travel efficiency. It has been suggested that dynamic rerouting could be facilitated…

Artificial Intelligence · Computer Science 2021-10-13 Runjia Du , Sikai Chen , Jiqian Dong , Tiantian Chen , Xiaowen Fu , Samuel Labi

Autoregressive models use chain rule to define a joint probability distribution as a product of conditionals. These conditionals need to be normalized, imposing constraints on the functional families that can be used. To increase…

Machine Learning · Computer Science 2020-10-27 Chenlin Meng , Lantao Yu , Yang Song , Jiaming Song , Stefano Ermon

Existing methods for traffic signal design are either too simplistic to capture realistic traffic characteristics or too complicated to be mathematically tractable. In this study, we attempts to fill the gap by presenting a new method based…

Dynamical Systems · Mathematics 2015-10-06 Wen-Long Jin , Yifeng Yu

This paper analyzes the time-dependent relationship between the mean and variance of travel time on a single corridor under rush hour like congestion patterns. To model this phenomenon, we apply the LWR ((Lighthill & Whitham, 1955),…

Physics and Society · Physics 2025-08-28 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen