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As urban environments grow, the modelling of transportation systems becomes increasingly complex. This paper advances the field of travel demand modelling by introducing advanced Graph Neural Network (GNN) architectures as surrogate models,…

Machine Learning · Computer Science 2025-03-21 Nikita Makarov , Santhanakrishnan Narayanan , Constantinos Antoniou

In this work, a hybrid physics-based data-driven surrogate model for the microscale analysis of heterogeneous material is investigated. The proposed model benefits from the physics-based knowledge contained in the constitutive models used…

Materials Science · Physics 2024-04-30 M. A. Maia , I. B. C. M. Rocha , D. Kovačević , F. P. van der Meer

Interpolatory necessary optimality conditions for $\mathcal{H}_2$-optimal reduced-order modeling of non-parametric linear time-invariant (LTI) systems are known and well-investigated. In this work, using the general framework of…

Optimization and Control · Mathematics 2024-11-12 Petar Mlinarić , Peter Benner , Serkan Gugercin

Predicting human motion in unstructured and dynamic environments is difficult as humans naturally exhibit complex behaviors that can change drastically from one environment to the next. In order to alleviate this issue, we propose to encode…

Robotics · Computer Science 2019-07-01 Philipp Kratzer , Marc Toussaint , Jim Mainprice

Automatically searching for optimal hyperparameter configurations is of crucial importance for applying deep learning algorithms in practice. Recently, Bayesian optimization has been proposed for optimizing hyperparameters of various…

Artificial Intelligence · Computer Science 2017-01-24 Ilija Ilievski , Taimoor Akhtar , Jiashi Feng , Christine Annette Shoemaker

Inferring the parameters of a stochastic model based on experimental observations is central to the scientific method. A particularly challenging setting is when the model is strongly indeterminate, i.e. when distinct sets of parameters…

Machine Learning · Statistics 2021-11-10 Pedro L. C. Rodrigues , Thomas Moreau , Gilles Louppe , Alexandre Gramfort

Predicting crowd intentions and trajectories is critical for a range of real-world applications, involving social robotics and autonomous driving. Accurately modeling such behavior remains challenging due to the complexity of pairwise…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Weizheng Wang , Baijian Yang , Sungeun Hong , Wenhai Sun , Byung-Cheol Min

Low-thrust trajectory design relies heavily on repeated evaluations of fuel consumption and transfer feasibility, which require expensive optimal control solutions. In this work, we show these quantities can be accurately approximated by…

Machine Learning · Computer Science 2026-05-28 Zhong Zhang , Giacomo Acciarini , Dario Izzo , Hexi Baoyin , Francesco Topputo

Trajectory representation learning is a fundamental task for applications in fields including smart city, and urban planning, as it facilitates the utilization of trajectory data (e.g., vehicle movements) for various downstream…

Machine Learning · Computer Science 2025-01-03 Stefan Schestakov , Simon Gottschalk

Although the Laplace approximation offers a simple route to uncertainty quantification in deep neural networks, its reliance on inverting large Hessian matrices has motivated a range of computationally feasible low-dimensional or sparse…

Machine Learning · Statistics 2026-05-12 Swarnali Raha , Kshitij Khare , Rohit K Patra

Hypergraph Convolutional Neural Networks (HGCNNs) have demonstrated their potential in modeling high-order relations preserved in graph-structured data. However, most existing convolution filters are localized and determined by the…

Machine Learning · Computer Science 2022-04-15 Jiying Zhang , Yuzhao Chen , Xi Xiao , Runiu Lu , Shu-Tao Xia

In the realm of human mobility, the decision-making process for selecting the next-visit location is intricately influenced by a trade-off between spatial and temporal constraints, which are reflective of individual needs and preferences.…

Artificial Intelligence · Computer Science 2023-12-27 Zhaofan Zhang , Yanan Xiao , Lu Jiang , Dingqi Yang , Minghao Yin , Pengyang Wang

This paper presents a novel learning-based approach to construct a surrogate problem that approximates a given parametric nonconvex optimization problem. The surrogate function is designed to be the minimum of a finite set of functions,…

Optimization and Control · Mathematics 2026-04-08 Renzi Wang , Panagiotis Patrinos , Alberto Bemporad

Traffic forecasting is an indispensable part of Intelligent transportation systems (ITS), and long-term network-wide accurate traffic speed forecasting is one of the most challenging tasks. Recently, deep learning methods have become…

Artificial Intelligence · Computer Science 2021-04-13 Haoyang Yan , Xiaolei Ma

Inferring interactions from multi-agent trajectories has broad applications in physics, vision and robotics. Neural relational inference (NRI) is a deep generative model that can reason about relations in complex dynamics without…

Machine Learning · Computer Science 2020-10-12 Ruichao Xiao , Manish Kumar Singh , Rose Yu

This work presents a data-driven method for learning low-dimensional time-dependent physics-based surrogate models whose predictions are endowed with uncertainty estimates. We use the operator inference approach to model reduction that…

Numerical Analysis · Mathematics 2025-03-19 Shane A. McQuarrie , Anirban Chaudhuri , Karen E. Willcox , Mengwu Guo

When autonomous vehicles still struggle to solve challenging situations during on-road driving, humans have long mastered the essence of driving with efficient transferable and adaptable driving capability. By mimicking humans' cognition…

Robotics · Computer Science 2021-12-14 Letian Wang , Yeping Hu , Liting Sun , Wei Zhan , Masayoshi Tomizuka , Changliu Liu

Predicting traffic conditions has been recently explored as a way to relieve traffic congestion. Several pioneering approaches have been proposed based on traffic observations of the target location as well as its adjacent regions, but they…

Artificial Intelligence · Computer Science 2023-08-22 Xingyi Cheng , Ruiqing Zhang , Jie Zhou , Wei Xu

We consider resource allocation problems in multi-user wireless networks, where the goal is to optimize a network-wide utility function subject to constraints on the ergodic average performance of users. We demonstrate how a state-augmented…

Signal Processing · Electrical Eng. & Systems 2025-06-24 Yigit Berkay Uslu , Navid NaderiAlizadeh , Mark Eisen , Alejandro Ribeiro

Recent advances in autoregressive neural surrogate models have enabled orders-of-magnitude speedups in simulating dynamical systems. However, autoregressive models are generally prone to distribution drift: compounding errors in…

Machine Learning · Computer Science 2026-03-19 Qi Liu , Laure Zanna , Joan Bruna