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We propose autoregressive Bayesian semi-parametric models for waiting times between recurrent events. The aim is two-fold: inference on the effect of possibly time-varying covariates on the gap times and clustering of individuals based on…

Applications · Statistics 2016-07-28 Marta Tallarita , Maria De Iorio , Alessandra Guglielmi , James Malone-Lee

We propose a Bayesian nonparametric approach to the problem of jointly modeling multiple related time series. Our model discovers a latent set of dynamical behaviors shared among the sequences, and segments each time series into regions…

Methodology · Statistics 2014-11-14 Emily B. Fox , Michael C. Hughes , Erik B. Sudderth , Michael I. Jordan

Sequential neuronal activity underlies a wide range of processes in the brain. Neuroscientific evidence for neuronal sequences has been reported in domains as diverse as perception, motor control, speech, spatial navigation and memory.…

Adaptation and Self-Organizing Systems · Physics 2020-04-03 Sascha Frölich , Dimitrije Marković , Stefan J. Kiebel

Social interaction is an important topic in human trajectory prediction to generate plausible paths. In this paper, we present a novel insight of group-based social interaction model to explore relationships among pedestrians. We…

Computer Vision and Pattern Recognition · Computer Science 2020-04-23 Jianhua Sun , Qinhong Jiang , Cewu Lu

We propose a probabilistic modeling framework for learning the dynamic patterns in the collective behaviors of social agents and developing profiles for different behavioral groups, using data collected from multiple information sources.…

Machine Learning · Statistics 2016-06-28 Lin Li , Ananthram Swami , Anna Scaglione

We propose a model of inference and heuristic decision-making in groups that is rooted in the Bayes rule but avoids the complexities of rational inference in partially observed environments with incomplete information, which are…

Multiagent Systems · Computer Science 2016-11-04 M. Amin Rahimian , Ali Jadbabaie

We propose probabilistic task modelling -- a generative probabilistic model for collections of tasks used in meta-learning. The proposed model combines variational auto-encoding and latent Dirichlet allocation to model each task as a…

Machine Learning · Computer Science 2022-03-21 Cuong C. Nguyen , Thanh-Toan Do , Gustavo Carneiro

This paper proposes models of learning process in teams of individuals who collectively execute a sequence of tasks and whose actions are determined by individual skill levels and networks of interpersonal appraisals and influence. The…

Social and Information Networks · Computer Science 2016-10-03 Wenjun Mei , Noah E. Friedkin , Kyle Lewis , Francesco Bullo

In order to describe the extremal behaviour of some stochastic process $X$, approaches from univariate extreme value theory are typically generalized to the spatial domain. In particular, generalized peaks-over-threshold approaches allow…

Methodology · Statistics 2026-01-01 Max Thannheimer , Marco Oesting

We present an algorithm that can efficiently compute a broad class of inferences for discrete-time imprecise Markov chains, a generalised type of Markov chains that allows one to take into account partially specified probabilities and other…

Probability · Mathematics 2019-07-02 Natan T'Joens , Thomas Krak , Jasper De Bock , Gert de Cooman

Bayesian models of behavior have provided computational level explanations in a range of psychophysical tasks. One fundamental experimental paradigm is the production or reproduction task, in which subjects are instructed to generate an…

Machine Learning · Computer Science 2022-01-03 Nils Neupärtl , Constantin A. Rothkopf

Activity analysis in which multiple people interact across a large space is challenging due to the interplay of individual actions and collective group dynamics. We propose an end-to-end approach for learning person trajectory…

Computer Vision and Pattern Recognition · Computer Science 2017-06-06 Nazanin Mehrasa , Yatao Zhong , Frederick Tung , Luke Bornn , Greg Mori

Complex activity recognition is challenging due to the inherent uncertainty and diversity of performing a complex activity. Normally, each instance of a complex activity has its own configuration of atomic actions and their temporal…

Machine Learning · Statistics 2017-01-05 Li Liu , Yongzhong Yang , Lakshmi Narasimhan Govindarajan , Shu Wang , Bin Hu , Li Cheng , David S. Rosenblum

We deal with Bayesian inference for Beta autoregressive processes. We restrict our attention to the class of conditionally linear processes. These processes are particularly suitable for forecasting purposes, but are difficult to estimate…

Statistics Theory · Mathematics 2010-08-03 R. Casarin , L. Dalla Valle , F. Leisen

Tremendous efforts have been put forth on predicting pedestrian trajectory with generative models to accommodate uncertainty and multi-modality in human behaviors. An individual's inherent uncertainty, e.g., change of destination, can be…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Yao Liu , Zesheng Ye , Rui Wang , Binghao Li , Quan Z. Sheng , Lina Yao

Generative Bayesian Computation (GBC) methods are developed for Casual Inference. Generative methods are simulation-based methods that use a large training dataset to represent posterior distributions as a map (a.k.a. optimal transport) to…

Methodology · Statistics 2024-12-25 Maria Nareklishvili , Nicholas Polson , Vadim Sokolov

Discrete automated processes in industrial and cyber-physical systems often exhibit a repetitive structure in which successive repetitions follow a common trajectory while differing in duration, amplitude, and fine-scale dynamics. Such…

Machine Learning · Statistics 2026-05-14 Elias Reich , Saverio Messineo , Stefan Huber

This paper studies theory and inference related to a class of time series models that incorporates nonlinear dynamics. It is assumed that the observations follow a one-parameter exponential family of distributions given an accompanying…

Statistics Theory · Mathematics 2012-04-19 Richard A. Davis , Heng Liu

We propose to learn a probabilistic motion model from a sequence of images for spatio-temporal registration. Our model encodes motion in a low-dimensional probabilistic space - the motion matrix - which enables various motion analysis tasks…

Computer Vision and Pattern Recognition · Computer Science 2021-02-02 Julian Krebs , Hervé Delingette , Nicholas Ayache , Tommaso Mansi

We propose a procedure to generate dynamical networks with bursty, possibly repetitive and correlated temporal behaviors. Regarding any weighted directed graph as being composed of the accumulation of paths between its nodes, our…

Physics and Society · Physics 2013-04-10 Alain Barrat , Bastien Fernandez , Kevin K Lin , Lai-Sang Young
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