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This paper addresses the problem of change-point detection on sequences of high-dimensional and heterogeneous observations, which also possess a periodic temporal structure. Due to the dimensionality problem, when the time between…

Machine Learning · Statistics 2019-03-25 Pablo Moreno-Muñoz , David Ramírez , Antonio Artés-Rodríguez

Change point detection (CPD) aims to locate abrupt property changes in time series data. Recent CPD methods demonstrated the potential of using deep learning techniques, but often lack the ability to identify more subtle changes in the…

Machine Learning · Computer Science 2021-07-21 Tim De Ryck , Maarten De Vos , Alexander Bertrand

Motion trajectory recognition is important for characterizing the moving property of an object. The speed and accuracy of trajectory recognition rely on a compact and discriminative feature representation, and the situations of varying…

Computer Vision and Pattern Recognition · Computer Science 2016-04-18 Xingyu Wu , Xia Mao , Lijiang Chen , Yuli Xue , Angelo Compare

Detecting pedestrians and predicting future trajectories for them are critical tasks for numerous applications, such as autonomous driving. Previous methods either treat the detection and prediction as separate tasks or simply add a…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Zhishuai Zhang , Jiyang Gao , Junhua Mao , Yukai Liu , Dragomir Anguelov , Congcong Li

This paper proposes a novel methodology for the online detection of changepoints in the factor structure of large matrix time series. Our approach is based on the well-known fact that, in the presence of a changepoint, a factor model can be…

Methodology · Statistics 2021-12-28 Yong He , Xin-bing Kong , Lorenzo Trapani , Long Yu

Phenomenological (P-type) bifurcations are qualitative changes in stochastic dynamical systems whereby the stationary probability density function (PDF) changes its topology. The current state of the art for detecting these bifurcations…

Algebraic Topology · Mathematics 2024-06-10 Sunia Tanweer , Firas A. Khasawneh

Object permanence is the concept that objects do not suddenly disappear in the physical world. Humans understand this concept at young ages and know that another person is still there, even though it is temporarily occluded. Neural networks…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Michael Fürst , Priyash Bhugra , René Schuster , Didier Stricker

The aim of change-point detection is to identify behavioral shifts within time series data. This article focuses on scenarios where the data is derived from an inhomogeneous Poisson process or a marked Poisson process. We present a…

Methodology · Statistics 2024-11-07 C. Dion-Blanc , D. Hawat , E. Lebarbier , S. Robin

This report proposes an improved method for the Tracking Any Point (TAP) task, which tracks any physical surface through a video. Several existing approaches have explored the TAP by considering the temporal relationships to obtain smooth…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Hongpeng Pan , Yang Yang , Zhongtian Fu , Yuxuan Zhang , Shian Du , Yi Xu , Xiangyang Ji

This paper addresses the problem of estimating and tracking human body keypoints in complex, multi-person video. We propose an extremely lightweight yet highly effective approach that builds upon the latest advancements in human detection…

Computer Vision and Pattern Recognition · Computer Science 2018-05-04 Rohit Girdhar , Georgia Gkioxari , Lorenzo Torresani , Manohar Paluri , Du Tran

In last-mile delivery, drivers frequently deviate from planned delivery routes because of their tacit knowledge of the road and curbside infrastructure, customer availability, and other characteristics of the respective service areas.…

Machine Learning · Computer Science 2025-07-08 Baichuan Mo , Qing Yi Wang , Xiaotong Guo , Matthias Winkenbach , Jinhua Zhao

We present and study a Particle method for the stationary solutions of a class of transport equations. This method is inspired by non-stationary Particle methods, the time variable being replaced by one spatial variable. Particles…

Numerical Analysis · Mathematics 2025-11-13 Rafael Bailo , Julie Binard , Pierre Degond , Pascal Noble

We present a new method to capture detailed human motion, sampling more than 1000 unique points on the body. Our method outputs highly accurate 4D (spatio-temporal) point coordinates and, crucially, automatically assigns a unique label to…

Computer Vision and Pattern Recognition · Computer Science 2021-05-04 He Chen , Hyojoon Park , Kutay Macit , Ladislav Kavan

Delay-coordinate mapping is an effective and widely used technique for reconstructing and analyzing the dynamics of a nonlinear system based on time-series outputs. The efficacy of delay-coordinate mapping has long been supported by Takens'…

Chaotic Dynamics · Physics 2018-03-07 Armin Eftekhari , Han Lun Yap , Michael B. Wakin , Christopher J. Rozell

A quantum trajectory describes the evolution of a quantum system undergoing indirect measurement. In the discrete-time setting, the state of the system is updated by applying Kraus operators according to the measurement results. From an…

Quantum Physics · Physics 2022-04-04 Maël Bompais , Nina H. Amini , Clément Pellegrini

This paper considers synchronous discrete-time dynamical systems on graphs based on the threshold model. It is well known that after a finite number of rounds these systems either reach a fixed point or enter a 2-cycle. The problem of…

Discrete Mathematics · Computer Science 2022-02-04 Volker Turau

We study the problem of change point localisation and inference for sequentially collected fragmented functional data, where each curve is observed only over discrete grids randomly sampled over a short fragment. The sequence of underlying…

Methodology · Statistics 2024-05-10 Gengyu Xue , Haotian Xu , Yi Yu

In this article the pursuit problem of objects that moves with different accelerations and initial speeds is studied. Initially, the situation in which the escaping object moves in a straight line is considered. Under this condition, and if…

Classical Physics · Physics 2025-08-07 Luis Rozas

This article explores the required amount of time series points from a high-speed traffic network to accurately estimate the Hurst exponent. The methodology consists in designing an experiment using estimators that are applied to time…

Applications · Statistics 2021-03-09 G. Millán

We introduce a path sampling method for obtaining statistical properties of an arbitrary stochastic dynamics. The method works by decomposing a trajectory in time, estimating the probability of satisfying a progress constraint, modifying…

Statistical Mechanics · Physics 2015-06-04 Nicholas Guttenberg , Aaron R. Dinner , Jonathan Weare