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We investigate the use of iterated function system (IFS) models for data analysis. An IFS is a discrete dynamical system in which each time step corresponds to the application of one of a finite collection of maps. The maps, which represent…

Dynamical Systems · Mathematics 2013-05-01 Zachary Alexander , Elizabeth Bradley , Joshua Garland , James D. Meiss

Traffic flow prediction is an important research issue to avoid traffic congestion in transportation systems. Traffic congestion avoiding can be achieved by knowing traffic flow and then conducting transportation planning. Achieving traffic…

Machine Learning · Computer Science 2017-10-05 Yuanfang Chen , Falin Chen , Yizhi Ren , Ting Wu , Ye Yao

In recent years, deep learning approaches have been proved good performance in traffic flow prediction, many complex models have been proposed to make traffic flow prediction more accurate. However, lacking transparency limits the domain…

Human-Computer Interaction · Computer Science 2022-03-15 Yifan Jiang , Zezheng Feng , Hongjun Wang , Zipei Fan , Xuan Song

Time series forecasting models often lack interpretability, limiting their adoption in domains requiring explainable predictions. We propose \textsc{FreqLens}, an interpretable forecasting framework that discovers and attributes predictions…

Machine Learning · Computer Science 2026-02-10 Chi-Sheng Chen , Xinyu Zhang , En-Jui Kuo , Guan-Ying Chen , Qiuzhe Xie , Fan Zhang

A nonlinear-dynamical algorithm for city planning is proposed as an Impulse Pattern Formulation (IPF) for predicting relevant parameters like health, artistic freedom, or financial developments of different social or political stakeholders…

Adaptation and Self-Organizing Systems · Physics 2024-06-18 Rolf Bader , Simon Linke , Stefanie Gernert

Detecting significant community structure in networks with incomplete observations is challenging because the evidence for specific solutions fades away with missing data. For example, recent research shows that flow-based community…

Social and Information Networks · Computer Science 2021-12-14 Jelena Smiljanić , Christopher Blöcker , Daniel Edler , Martin Rosvall

Normalizing Flows (NF) are Generative models which transform a simple prior distribution into the desired target. They however require the design of an invertible mapping whose Jacobian determinant has to be computable. Recently introduced,…

Machine Learning · Computer Science 2025-09-18 Vincent Souveton , Arnaud Guillin , Jens Jasche , Guilhem Lavaux , Manon Michel

As a rapidly expanding service, bike sharing is facing severe problems of bike over-supply and demand fluctuation in many Chinese cities. This study develops a large-scale method to determine the minimum fleet size under uncertainty, based…

Other Statistics · Statistics 2022-04-20 Mingzhuang Hua , Xuewu Chen , Jingxu Chen , Yu Jiang

Material flow analyses (MFAs) are powerful tools for highlighting resource efficiency opportunities in supply chains. MFAs are often represented as directed graphs, with nodes denoting processes and edges representing mass flows. However,…

Applications · Statistics 2026-04-08 Jiankan Liao , Xun Huan , Daniel Cooper

Motivated by the need for accurate traffic flow prediction in transportation management, we propose a functional data method to analyze traffic flow patterns and predict future traffic flow. In this study we approach the problem by sampling…

Applications · Statistics 2013-01-14 Jeng-Min Chiou

Generative models for sequential data often struggle with sparsely sampled and high-dimensional trajectories, typically reducing the learning of dynamics to pairwise transitions. We propose Interpolative Multi-Marginal Flow Matching…

Recently, practical applications for passenger flow prediction have brought many benefits to urban transportation development. With the development of urbanization, a real-world demand from transportation managers is to construct a new…

Machine Learning · Computer Science 2019-12-10 Yongshun Gong , Zhibin Li , Jian Zhang , Wei Liu , Jinfeng Yi

Accurate traffic flow estimation and prediction are critical for the efficient management of transportation systems, particularly under increasing urbanization. Traditional methods relying on static sensors often suffer from limited spatial…

Machine Learning · Computer Science 2025-03-19 Jake Rap , Amritam Das

The objective of this proposal is to bridge the gap between Deep Learning (DL) and System Dynamics (SD) by developing an interpretable neural system dynamics framework. While DL excels at learning complex models and making accurate…

Machine Learning · Computer Science 2025-05-21 Riccardo D'Elia

In this paper, we consider the interpretability of the foundational Laplacian-based semi-supervised learning approaches on graphs. We introduce a novel flow-based learning framework that subsumes the foundational approaches and additionally…

Machine Learning · Statistics 2019-01-14 Raif M. Rustamov , James T. Klosowski

A machine-learning strategy for investigating the stability of fluid flow problems is proposed herein. The goal is to provide a simple yet robust methodology to find a nonlinear mapping from the parametric space to an indicator representing…

Fluid Dynamics · Physics 2026-01-06 David J. Silvester

As a probabilistic modeling technique, the flow-based model has demonstrated remarkable potential in the field of lossless compression \cite{idf,idf++,lbb,ivpf,iflow},. Compared with other deep generative models (eg. Autoregressive, VAEs)…

Computer Vision and Pattern Recognition · Computer Science 2022-08-29 Yi-chong Xia , Bin Chen , Yan Feng , Tian-shuo Ge

Traffic forecasting is crucial for intelligent transportation systems. It has experienced significant advancements thanks to the power of deep learning in capturing latent patterns of traffic data. However, recent deep-learning…

Machine Learning · Computer Science 2026-01-19 Xusen Guo , Qiming Zhang , Junyue Jiang , Mingxing Peng , Meixin Zhu , Hao , Yang

We extend Stochastic Flow Models (SFMs), used for a large class of discrete event and hybrid systems, by including the delays which typically arise in flow movement. We apply this framework to the multi-intersection traffic light control…

Systems and Control · Computer Science 2017-11-09 Rui Chen , Christos G. Cassandras

Stability region is a key index to characterize a dynamic processing system's ability to handle incoming demands. It is a multidimensional space when the system has multiple OD pairs where their service rates interact. Urban traffic network…

Systems and Control · Electrical Eng. & Systems 2024-04-09 Dianchao Lin , Li Li