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This paper introduces an algorithm for the detection of change-points and the identification of the corresponding subsequences in transient multivariate time-series data (MTSD). The analysis of such data has become more and more important…

Signal Processing · Electrical Eng. & Systems 2023-04-05 Jonas Köhne , Lars Henning , Clemens Gühmann

Change detection involves segmenting sequential data such that observations in the same segment share some desired properties. Multivariate change detection continues to be a challenging problem due to the variety of ways change points can…

Methodology · Statistics 2018-10-16 Wenyu Zhang , Daniel Gilbert , David Matteson

This paper investigates sequential change-point detection in reconfigurable sensor networks. In this problem, data from multiple sensors are observed sequentially. Each sensor can have a unique change point, and the data distribution…

Methodology · Statistics 2025-04-10 Seungwon Lee , Yunxiao Chen , Xiaoou Li

We develop algorithms for detecting multiple changepoints in functional data when the number of changepoints is unknown (unsupervised case), when it is specified apriori (supervised case), and when certain bounds are available…

Methodology · Statistics 2025-11-19 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

We consider Markov chain Monte Carlo (MCMC) algorithms for Bayesian high-dimensional regression with continuous shrinkage priors. A common challenge with these algorithms is the choice of the number of iterations to perform. This is…

Methodology · Statistics 2021-07-13 Niloy Biswas , Anirban Bhattacharya , Pierre E. Jacob , James E. Johndrow

We develop efficient simulation techniques for Bayesian inference on switching GARCH models. Our contribution to existing literature is manifold. First, we discuss different multi-move sampling techniques for Markov Switching (MS) state…

Statistics Theory · Mathematics 2012-12-24 Monica Billio , Roberto Casarin , Anthony Osuntuyi

We propose a method for detecting significant interactions in very large multivariate spatial point patterns. This methodology develops high dimensional data understanding in the point process setting. The method is based on modelling the…

Methodology · Statistics 2017-10-25 Tuomas Rajala , David Murrell , Sofia Olhede

This paper deals with off-line detection of change points for time series of independent observations, when the number of change points is unknown. We propose a sequential analysis like method with linear time and memory complexity. Our…

Statistics Theory · Mathematics 2015-03-13 Pierre R. Bertrand , Mehdi Fhima , Arnaud Guillin

This paper describes and compares several prominent single and multiple changepoint techniques for time series data. Due to their importance in inferential matters, changepoint research on correlated data has accelerated recently.…

Methodology · Statistics 2021-01-07 Xueheng Shi , Colin Gallagher , Robert Lund , Rebecca Killick

This work presents a tractable approach to multi-object posterior computation under a generic measurement likelihood function. While filtering is a popular solution, valuable historical information is discarded. Posterior inference, which…

Computation · Statistics 2026-04-15 Ba Tuong Vo , Ba-Ngu Vo

The paper studies the problem of detecting and locating change points in multivariate time-evolving data. The problem has a long history in statistics and signal processing and various algorithms have been developed primarily for simple…

Machine Learning · Statistics 2025-03-13 Jialiang Geng , George Michailidis

Bayesian inference for models that have an intractable partition function is known as a doubly intractable problem, where standard Monte Carlo methods are not applicable. The past decade has seen the development of auxiliary variable Monte…

Computation · Statistics 2017-10-13 Richard G. Everitt , Dennis Prangle , Philip Maybank , Mark Bell

Binary segmentation, which is sequential in nature is thus far the most widely used method for identifying multiple change points in statistical models. Here we propose a top down methodology called arbitrary segmentation that proceeds in a…

Statistics Theory · Mathematics 2019-06-12 Abhishek Kaul , Venkata K Jandhyala , Stergios B Fotopoulos

The problem of sequential change diagnosis is considered, where observations are obtained on-line, an abrupt change occurs in their distribution, and the goal is to quickly detect the change and accurately identify the post-change…

Statistics Theory · Mathematics 2022-11-24 Austin Warner , Georgios Fellouris

Change point detection in high dimensional data has found considerable interest in recent years. Most of the literature either designs methodology for a retrospective analysis, where the whole sample is already available when the…

Statistics Theory · Mathematics 2020-12-16 Josua Gösmann , Christina Stoehr , Johannes Heiny , Holger Dette

We present the very first robust Bayesian Online Changepoint Detection algorithm through General Bayesian Inference (GBI) with $\beta$-divergences. The resulting inference procedure is doubly robust for both the parameter and the…

Machine Learning · Statistics 2018-11-28 Jeremias Knoblauch , Jack Jewson , Theodoros Damoulas

The current standard Bayesian approach to model calibration, which assigns a Gaussian process prior to the discrepancy term, often suffers from issues of unidentifiability and computational complexity and instability. When the goal is to…

Methodology · Statistics 2019-09-13 Spencer Woody , Novin Ghaffari , Lauren Hund

Markov jump processes and continuous time Bayesian networks are important classes of continuous time dynamical systems. In this paper, we tackle the problem of inferring unobserved paths in these models by introducing a fast auxiliary…

Methodology · Statistics 2012-02-20 Vinayak Rao , Yee Whye Teh

We propose a novel class of dynamic shrinkage processes for Bayesian time series and regression analysis. Building upon a global-local framework of prior construction, in which continuous scale mixtures of Gaussian distributions are…

Methodology · Statistics 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert

We study linear models under heavy-tailed priors from a probabilistic viewpoint. Instead of computing a single sparse most probable (MAP) solution as in standard deterministic approaches, the focus in the Bayesian compressed sensing…

Computer Vision and Pattern Recognition · Computer Science 2014-03-05 George Papandreou , Alan Yuille
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