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The Adaptive Smoothing Method (ASM) is a data-driven approach for traffic state estimation. It interpolates unobserved traffic quantities by smoothing measurements along spatio-temporal directions defined by characteristic traffic wave…

Optimization and Control · Mathematics 2022-12-14 Chuhan Yang , Bilal Thonnam Thodi , Saif Eddin Jabari

The adaptive smoothing method (ASM) is a standard data-driven technique used in traffic state estimation. The ASM has free parameters which, in practice, are chosen to be some generally acceptable values based on intuition. However, we note…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Chuhan Yang , Sai Venkata Ramana Ambadipudi , Saif Eddin Jabari

We present a new method to obtain spatio-temporal information from aggregated data of stationary traffic detectors, the ``adaptive smoothing method''. In essential, a nonlinear spatio-temporal lowpass filter is applied to the input detector…

Statistical Mechanics · Physics 2007-05-23 Martin Treiber , Dirk Helbing

Trajectory reconstruction is the process of inferring the path of a moving object between successive observations. In this paper, we propose a smoothing spline -- which we name the V-spline -- that incorporates position and velocity…

Methodology · Statistics 2022-06-20 Zhanglong Cao , David Bryant , Tim Molteno , Colin Fox , Matthew Parry

METANET is a widely used second-order macroscopic traffic flow model for freeway networks, supporting applications across traffic simulation, ramp metering, and variable speed limit control. The predictive accuracy of any traffic model,…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Monica Chan , Shreyaa Raghavan , Cathy Wu

Traffic microsimulation is a crucial tool that uses microscopic traffic models, such as car-following and lane-change models, to simulate the trajectories of individual agents. This digital platform allows for the assessment of the impact…

Applications · Statistics 2024-10-01 Yanbing Wang , Felipe de Souza , Dominik Karbowski

Autonomous driving vehicles aim to free the hands of vehicle operators, helping them to drive easier and faster, meanwhile, improving the safety of driving on the highway or in complex scenarios. Automated driving systems (ADS) are…

Robotics · Computer Science 2023-07-04 Yucheng LI

Traffic simulation models have long been popular in modern traffic planning and operation applications. Efficient calibration of simulation models is usually a crucial step in a simulation study. However, traditional calibration procedures…

Optimization and Control · Mathematics 2025-01-22 Ran Sun , Zihao Wang , Xingmin Wang , Henry X. Liu

This paper proposes an approach to perform travel demand calibration for high-resolution stochastic traffic simulators. It employs abundant travel times at the path-level, departing from the standard practice of resorting to scarce…

Emerging Technologies · Computer Science 2025-01-10 Chao Zhang , Yechen Li , Neha Arora , Damien Pierce , Carolina Osorio

Simulation is a valuable tool for traffic management experts to assist them in refining and improving transportation systems and anticipating the impact of possible changes in the infrastructure network before their actual implementation.…

Artificial Intelligence · Computer Science 2025-02-18 Davide Andrea Guastella , Alejandro Morales-Hernàndez , Bruno Cornelis , Gianluca Bontempi

Detecting anomalies in traffic scenes is crucial for ensuring safety in autonomous driving, yet collecting representative anomalous data remains challenging. Existing anomaly detection methods are highly specialized and rely on normality as…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Albert Schotschneider , Daniel Bogdoll , Svetlana Pavlitska , Ahmed Abouelazm , Johann Marius Zoellner

We present a novel shape-approximating anisotropic re-meshing algorithm as a geometric generalization of the adaptive moving mesh method. Conventional moving mesh methods reduce the interpolation error of a mesh that discretizes a given…

Computational Geometry · Computer Science 2023-06-21 Nicolas Nebel , Albert Chern

Route alignment design in surveying and transportation engineering frequently involves fixed waypoint constraints, where a path must precisely traverse specific coordinates. While existing literature primarily relies on geometric…

Methodology · Statistics 2026-01-06 Shiyin Du , Yiting Chen , Wenzhi Yang , Qiong Li , Xiaoping Shi

In this work we develop and analyze an adaptive finite element method for efficiently solving electrical impedance tomography -- a severely ill-posed nonlinear inverse problem for recovering the conductivity from boundary voltage…

Numerical Analysis · Mathematics 2019-05-16 Bangti Jin , Yifeng Xu , Jun Zou

This paper addresses the trajectory planning problem for automated vehicle on-ramp highway merging. To tackle this challenge, we extend our previous work on trajectory planning at unsignalized intersections using Partially Observable Markov…

Robotics · Computer Science 2024-12-11 Adam Kollarčík , Zdeněk Hanzálek

For solving pseudo-convex global optimization problems, we present a novel fully adaptive steepest descent method (or ASDM) without any hard-to-estimate parameters. For the step-size regulation in an $\varepsilon$-normalized direction, we…

Optimization and Control · Mathematics 2021-08-12 Z. R. Gabidullina

Real-time path tracing increasingly operates under extremely low sampling budgets, often below one sample per pixel, as rendering complexity, resolution, and frame-rate requirements continue to rise. While super-resolution is widely used in…

Graphics · Computer Science 2026-02-10 Martin Bálint , Corentin Salaün , Hans-Peter Seidel , Karol Myszkowski

Interest in equilibrium-based sampling methods has grown with recent advances in computational hardware and Markov state modeling (MSM) methods, yet outstanding questions remain that hinder widespread adoption. Namely, how do sampling…

Biomolecules · Quantitative Biology 2018-05-15 Maxwell I. Zimmerman , Justin R. Porter , Xianqiang Sun , Roseane R. Silva , Gregory R. Bowman

Adaptive gradient methods (AGMs) have become popular in optimizing the nonconvex problems in deep learning area. We revisit AGMs and identify that the adaptive learning rate (A-LR) used by AGMs varies significantly across the dimensions of…

Machine Learning · Computer Science 2019-09-12 Qianqian Tong , Guannan Liang , Jinbo Bi

In Path Integral control problems a representation of an optimally controlled dynamical system can be formally computed and serve as a guidepost to learn a parametrized policy. The Path Integral Cross-Entropy (PICE) method tries to exploit…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Dominik Thalmeier , Hilbert J. Kappen , Simone Totaro , Vicenç Gómez
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