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We address the problem of inferring the causal direction between a continuous variable $X$ and a discrete variable $Y$ from observational data. For the model $X \to Y$, we adopt the threshold model used in prior work. For the model $Y \to…

Machine Learning · Computer Science 2026-02-27 Takashi Nicholas Maeda , Shohei Shimizu , Hidetoshi Matsui

We present a simple model and algorithm for predicting driver destinations and routes, based on the input of the latest road links visited as part of an ongoing trip. The algorithm may be used to predict any clusters previously observed in…

Physics and Society · Physics 2018-04-11 Yassine Lassoued , Julien Monteil , Yingqi Gu , Giovanni Russo , Robert Shorten , Martin Mevissen

Origin-Destination Matrix (ODM) estimation is a classical problem in transport engineering aiming to recover flows from every Origin to every Destination from measured traffic counts and a priori model information. In addition to traffic…

Optimization and Control · Mathematics 2019-07-18 Gabriel Michau , Nelly Pustelnik , Pierre Borgnat , Patrice Abry , Alfredo Nantes , Ashish Bhaskar , Edward Chung

Model predictive control (MPC) has established itself as the primary methodology for constrained control, enabling general-purpose robot autonomy in diverse real-world scenarios. However, for most problems of interest, MPC relies on the…

We present a nonlinear model predictive control (MPC) scheme for tracking of dynamic target signals. The scheme combines stabilization and dynamic trajectory planning in one layer, thus ensuring constraint satisfaction irrespective of…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We consider initial value problems of nonlinear dynamical systems, which include physical parameters. A quantity of interest depending on the solution is observed. A discretisation yields the trajectories of the quantity of interest in many…

Machine Learning · Computer Science 2021-01-13 Roland Pulch , Maha Youssef

The algorithmic Markov condition states that the most likely causal direction between two random variables X and Y can be identified as that direction with the lowest Kolmogorov complexity. Due to the halting problem, however, this notion…

Machine Learning · Computer Science 2017-02-23 Kailash Budhathoki , Jilles Vreeken

In this paper we introduce spatiotemporal constraints for trajectories, i.e., restrictions that the trajectory must be in some part of the state space (spatial constraint) at some point in time (temporal constraint). Spatiotemporal…

Signal Processing · Electrical Eng. & Systems 2020-03-02 Karl Granström , Lennart Svensson , Yuxuan Xia , Angel F. Garcia-Fernandez , Jason Williams

Estimation of origin-destination (OD) demand plays a key role in successful transportation studies. In this paper, we consider the estimation of time-varying day-to-day OD flows given data on traffic volumes in a transportation network for…

Structural causal models (SCMs), also known as (nonparametric) structural equation models (SEMs), are widely used for causal modeling purposes. In particular, acyclic SCMs, also known as recursive SEMs, form a well-studied subclass of SCMs…

Methodology · Statistics 2021-11-23 Stephan Bongers , Patrick Forré , Jonas Peters , Joris M. Mooij

Climate change mitigation in urban mobility requires policies reconfiguring urban form to increase accessibility and facilitate low-carbon modes of transport. However, current policy research has insufficiently assessed urban form effects…

This paper proposes a generative model, the latent Dirichlet hidden Markov models (LDHMM), for characterizing a database of sequential behaviors (sequences). LDHMMs posit that each sequence is generated by an underlying Markov chain…

Machine Learning · Statistics 2013-05-27 Yin Song , Longbing Cao , Xuhui Fan , Wei Cao , Jian Zhang

Reliable 4D aircraft trajectory prediction, whether in a real-time setting or for analysis of counterfactuals, is important to the efficiency of the aviation system. Toward this end, we first propose a highly generalizable efficient…

Machine Learning · Computer Science 2019-01-01 Yulin Liu , Mark Hansen

Travel choice analysis is crucial for understanding individual travel behavior to develop appropriate transport policies and recommendation systems in Intelligent Transportation Systems (ITS). Despite extensive research, this domain faces…

Artificial Intelligence · Computer Science 2024-06-25 Xuehao Zhai , Hanlin Tian , Lintong Li , Tianyu Zhao

Trajectory Prediction of dynamic objects is a widely studied topic in the field of artificial intelligence. Thanks to a large number of applications like predicting abnormal events, navigation system for the blind, etc. there have been many…

Machine Learning · Computer Science 2017-05-29 Daksh Varshneya , G. Srinivasaraghavan

Dynamical systems are widely used in science and engineering to model systems consisting of several interacting components. Often, they can be given a causal interpretation in the sense that they not only model the evolution of the states…

Artificial Intelligence · Computer Science 2022-03-29 Stephan Bongers , Tineke Blom , Joris M. Mooij

We consider the discrete-time migration-recombination equation, a deterministic, nonlinear dynamical system that describes the evolution of the genetic type distribution of a population evolving under migration and recombination in a law of…

Probability · Mathematics 2021-03-30 Frederic Alberti , Ellen Baake , Ian Letter , Servet Martinez

Controllability, a basic property of various networked systems, has gained profound theoretical applications in complex social, technological, biological, and brain networks. Yet, little attention has been given to the control trajectory…

Optimization and Control · Mathematics 2018-06-13 Aming Li , Long Wang , Frank Schweitzer

Multimodal traffic flow can reflect the health of the transportation system, and its prediction is crucial to urban traffic management. Recent works overemphasize spatio-temporal correlations of traffic flow, ignoring the physical concepts…

Machine Learning · Computer Science 2023-01-23 Yu Zhao , Pan Deng , Junting Liu , Xiaofeng Jia , Mulan Wang

The configuration model is a sequence of random graphs constructed such that in the large network limit the degree distribution converges to a pre-specified probability distribution. The component structure of such random graphs can be…

Probability · Mathematics 2019-12-12 Shankar Bhamidi , Amarjit Budhiraja , Paul Dupuis , Ruoyu Wu