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This paper develops a structured framework for the design and dynamic updating of service time windows in delivery and appointment-based systems. We consider a single-server setting with stochastic service and travel times, where customers…

Optimization and Control · Mathematics 2026-01-28 Bharti Bharti , René Bekker , Nikki Levering , Michel Mandjes

Data assimilation (DA) improves prediction of chaotic systems by combining model forecasts with sparse, noisy observations. Many DA methods are inherently probabilistic, but accurate probabilistic DA is often computationally expensive…

Fluid Dynamics · Physics 2026-04-24 Aditya Sai Pranith Ayapilla , Kazuya Miyashita , Yuki Yasuda , Ryo Onishi

Probabilistic forecasting provides a principled framework for uncertainty quantification in dynamical systems by representing predictions as probability distributions rather than deterministic trajectories. However, existing forecasting…

Machine Learning · Statistics 2026-03-27 Tianlin Yang , Hailiang Du , Louis Aslett

Forecasting traffic flows is a central task in intelligent transportation system management. Graph structures have shown promise as a modeling framework, with recent advances in spatio-temporal modeling via graph convolution neural…

Machine Learning · Computer Science 2021-10-05 Yuanjie Lu , Parastoo Kamranfar , David Lattanzi , Amarda Shehu

This paper presents a mesoscopic traffic flow model that explicitly describes the spatio-temporal evolution of the probability distributions of vehicle trajectories. The dynamics are represented by a sequence of factor graphs, which enable…

Machine Learning · Statistics 2019-09-25 Saif Eddin Jabari , Deepthi Mary Dilip , DianChao Lin , Bilal Thonnam Thodi

Motion forecasting plays a significant role in various domains (e.g., autonomous driving, human-robot interaction), which aims to predict future motion sequences given a set of historical observations. However, the observed elements may be…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Jiachen Li , Fan Yang , Hengbo Ma , Srikanth Malla , Masayoshi Tomizuka , Chiho Choi

Providing forecasts for ultra-long time series plays a vital role in various activities, such as investment decisions, industrial production arrangements, and farm management. This paper develops a novel distributed forecasting framework to…

Applications · Statistics 2024-04-23 Xiaoqian Wang , Yanfei Kang , Rob J Hyndman , Feng Li

Deep reinforcement learning (DRL) allows a system to interact with its environment and take actions by training an efficient policy that maximizes self-defined rewards. In autonomous driving, it can be used as a strategy for high-level…

Robotics · Computer Science 2024-07-02 Xibo Li , Shruti Patel , Christof Büskens

Incorporating speed probability distribution to the computation of the route planning in car navigation systems guarantees more accurate and precise responses. In this paper, we propose a novel approach for dynamically selecting the number…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-21 Emanuele Vitali , Davide Gadioli , Gianluca Palermo , Martin Golasowski , Joao Bispo , Pedro Pinto , Jan Martinovic , Katerina Slaninova , Joao M. P. Cardoso , Cristina Silvano

Critical incident stages identification and reasonable prediction of traffic incident duration are essential in traffic incident management. In this paper, we propose a traffic incident duration prediction model that simultaneously predicts…

Machine Learning · Computer Science 2019-11-21 Kaiqun Fu , Taoran Ji , Liang Zhao , Chang-Tien Lu

Autonomous robot navigation systems often rely on hierarchical planning, where global planners compute collision-free paths without considering dynamics, and local planners enforce dynamics constraints to produce executable commands. This…

Robotics · Computer Science 2025-10-14 Yuanjie Lu , Mingyang Mao , Tong Xu , Linji Wang , Xiaomin Lin , Xuesu Xiao

Modeling multivariate time series as temporal signals over a (possibly dynamic) graph is an effective representational framework that allows for developing models for time series analysis. In fact, discrete sequences of graphs can be…

Machine Learning · Computer Science 2022-10-11 Ivan Marisca , Andrea Cini , Cesare Alippi

A machine-learning-based framework for modeling the error introduced by surrogate models of parameterized dynamical systems is proposed. The framework entails the use of high-dimensional regression techniques (e.g., random forests, LASSO)…

Numerical Analysis · Computer Science 2017-06-02 Sumeet Trehan , Kevin Carlberg , Louis J. Durlofsky

We develop an analytical synthesis that bridges data-driven Distributionally Robust Optimization (DRO) and Economic Decision Theory under Ambiguity (DTA). By reinterpreting standard regularization and DRO techniques as data-driven…

Machine Learning · Statistics 2025-02-27 Nicola Bariletto , Khai Nguyen , Nhat Ho

With the advancements of sensor hardware, traffic infrastructure and deep learning architectures, trajectory prediction of vehicles has established a solid foundation in intelligent transportation systems. However, existing solutions are…

Artificial Intelligence · Computer Science 2024-11-13 Jia Quan Loh , Xuewen Luo , Fan Ding , Hwa Hui Tew , Junn Yong Loo , Ze Yang Ding , Susilawati Susilawati , Chee Pin Tan

In this paper, we present a novel trajectory prediction model for autonomous driving, combining a Characterized Diffusion Module and a Spatial-Temporal Interaction Network to address the challenges posed by dynamic and heterogeneous traffic…

Robotics · Computer Science 2024-11-26 Haoming Li

Modeling high-dimensional time series with simple structures is a challenging problem. This paper proposes a network double autoregression (NDAR) model, which combines the advantages of network structure and the double autoregression (DAR)…

Methodology · Statistics 2024-12-30 Tingting Li , Hao Wang

This paper proposes a novel framework for the distributionally robust input and state estimation (DRISE) for autonomous vehicles operating under model uncertainties and measurement outliers. The proposed framework improves the input and…

Optimization and Control · Mathematics 2025-04-15 Kasra Azizi , Kumar Anurag , Wenbin Wan

Predicting traffic conditions is tremendously challenging since every road is highly dependent on each other, both spatially and temporally. Recently, to capture this spatial and temporal dependency, specially designed architectures such as…

Machine Learning · Computer Science 2022-09-13 Daejin Kim , Youngin Cho , Dongmin Kim , Cheonbok Park , Jaegul Choo

How can a robot safely navigate around people with complex motion patterns? Deep Reinforcement Learning (DRL) in simulation holds some promise, but much prior work relies on simulators that fail to capture the nuances of real human motion.…

Robotics · Computer Science 2025-02-17 James R. Han , Hugues Thomas , Jian Zhang , Nicholas Rhinehart , Timothy D. Barfoot