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We introduce multiple hidden Markov models (MHMMs) where an observed multivariate categorical time series depends on an unobservable multivariate Mar- kov chain. MHMMs provide an elegant framework for specifying various independence…

Methodology · Statistics 2013-09-17 Roberto Colombi , Sabrina Giordano

Three distinct phenomena complicate statistical causal analysis: latent common causes, causal cycles, and latent selection. Foundational works on Structural Causal Models (SCMs), e.g., Bongers et al. (2021, Ann. Stat., 49(5): 2885-2915),…

Methodology · Statistics 2025-11-23 Leihao Chen , Onno Zoeter , Joris M. Mooij

Vehicle telematics provides granular data for dynamic driving risk assessment, but current methods often rely on aggregated metrics (e.g., harsh braking counts) and do not fully exploit the rich time-series structure of telematics data. In…

Applications · Statistics 2025-05-28 Ian Weng Chan , Andrei L. Badescu , X. Sheldon Lin

Most neural models of causality assume static causal graphs, failing to capture the dynamic and sparse nature of physical interactions where causal relationships emerge and dissolve over time. We introduce the Causal Process Framework and…

Machine Learning · Computer Science 2026-04-07 Turan Orujlu , Christian Gumbsch , Martin V. Butz , Charley M Wu

Accurately forecasting traffic flows is critically important to many real applications including public safety and intelligent transportation systems. The challenges of this problem include both the dynamic mobility patterns of the people…

Machine Learning · Computer Science 2024-04-24 Hao Miao , Senzhang Wang , Meiyue Zhang , Diansheng Guo , Funing Sun , Fan Yang

Linear structural causal models (SCMs) -- in which each observed variable is generated by a subset of the other observed variables as well as a subset of the exogenous sources -- are pervasive in causal inference and casual discovery.…

Machine Learning · Computer Science 2022-11-09 Yuqin Yang , Mohamed Nafea , AmirEmad Ghassami , Negar Kiyavash

To determine causal relationships between two variables, approaches based on Functional Causal Models (FCMs) have been proposed by properly restricting model classes; however, the performance is sensitive to the model assumptions, which…

Machine Learning · Computer Science 2022-03-30 Ruibo Tu , Kun Zhang , Hedvig Kjellström , Cheng Zhang

Causal structure learning with data from multiple contexts carries both opportunities and challenges. Opportunities arise from considering shared and context-specific causal graphs enabling to generalize and transfer causal knowledge across…

Machine Learning · Computer Science 2024-10-29 Martin Rabel , Wiebke Günther , Jakob Runge , Andreas Gerhardus

Traffic forecasting is an important application of spatiotemporal series prediction. Among different methods, graph neural networks have achieved so far the most promising results, learning relations between graph nodes then becomes a…

Machine Learning · Computer Science 2024-09-05 Ting Gao , Rodrigo Kappes Marques , Lei Yu

The increase of vehicle in highways may cause traffic congestion as well as in the normal roadways. Predicting the traffic flow in highways especially, is demanded to solve this congestion problem. Predictions on time-series multivariate…

Computer Vision and Pattern Recognition · Computer Science 2017-07-12 Sumarsih Condroayu Purbarani , Hadaiq Rolis Sanabila , Wisnu Jatmiko

The causal Markov condition (CMC) is a postulate that links observations to causality. It describes the conditional independences among the observations that are entailed by a causal hypothesis in terms of a directed acyclic graph. In the…

Information Theory · Computer Science 2010-02-23 Bastian Steudel , Dominik Janzing , Bernhard Schoelkopf

Multiview video has recently emerged as a means to improve user experience in novel multimedia services. We propose a new stochastic model to characterize the traffic generated by a Multiview Video Coding (MVC) variable bit rate source. To…

Multimedia · Computer Science 2013-01-04 Lorenzo Rossi , Jacob Chakareski , Pascal Frossard , Stefania Colonnese

Traffic forecasting is a classical task for traffic management and it plays an important role in intelligent transportation systems. However, since traffic data are mostly collected by traffic sensors or probe vehicles, sensor failures and…

Machine Learning · Computer Science 2019-12-12 Zhiyong Cui , Longfei Lin , Ziyuan Pu , Yinhai Wang

Individual mobility is driven by demand for activities with diverse spatiotemporal patterns, but existing methods for mobility prediction often overlook the underlying activity patterns. To address this issue, this study develops an…

Machine Learning · Computer Science 2021-01-12 Baichuan Mo , Zhan Zhao , Haris N. Koutsopoulos , Jinhua Zhao

Many scientific and engineering systems exhibit intrinsically multimodal behavior arising from latent regime switching and non-unique physical mechanisms. In such settings, learning the full conditional distribution of admissible outcomes…

Machine Learning · Computer Science 2026-02-12 Jinkyo Han , Bahador Bahmani

As a crucial component in intelligent transportation systems, traffic flow prediction has recently attracted widespread research interest in the field of artificial intelligence (AI) with the increasing availability of massive traffic…

Machine Learning · Computer Science 2020-06-17 Lingbo Liu , Jiajie Zhen , Guanbin Li , Geng Zhan , Zhaocheng He , Bowen Du , Liang Lin

Understanding how urban systems and traffic dynamics co-evolve is crucial for advancing sustainable and resilient cities. However, their bidirectional causal relationships remain underexplored due to challenges of simultaneously inferring…

Physics and Society · Physics 2025-10-30 Yatao Zhang , Ye Hong , Song Gao , Martin Raubal

Predicting the motion of a driver's vehicle is crucial for advanced driving systems, enabling detection of potential risks towards shared control between the driver and automation systems. In this paper, we propose a variational neural…

Robotics · Computer Science 2019-03-07 Xin Huang , Stephen McGill , Brian C. Williams , Luke Fletcher , Guy Rosman

This paper introduces an algorithm for discovering implicit and delayed causal relations between events observed by a robot at arbitrary times, with the objective of improving data-efficiency and interpretability of model-based…

Machine Learning · Computer Science 2020-08-05 Junchi Liang , Abdeslam Boularias

We propose a causal hidden Markov model to achieve robust prediction of irreversible disease at an early stage, which is safety-critical and vital for medical treatment in early stages. Specifically, we introduce the hidden variables which…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Jing Li , Botong Wu , Xinwei Sun , Yizhou Wang