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We consider the problem of Bayesian inference for changepoints where the number and position of the changepoints are both unknown. In particular, we consider product partition models where it is possible to integrate out model parameters…

统计计算 · 统计学 2017-03-14 Alan Benson , Nial Friel

Change-point detection regains much attention recently for analyzing array or sequencing data for copy number variation (CNV) detection. In such applications, the true signals are typically very short and buried in the long data sequence,…

应用统计 · 统计学 2019-08-20 Seung Jun Shin , Yichao Wu , Ning Hao

There are many different ways in which change point analysis can be performed, from purely parametric methods to those that are distribution free. The ecp package is designed to perform multiple change point analysis while making as few…

统计计算 · 统计学 2013-11-26 Nicholas A. James , David S. Matteson

Changepoint localization is the problem of estimating the index at which a change occurred in the data generating distribution of an ordered list of data, or declaring that no change occurred. We present the broadly applicable MCP…

统计理论 · 数学 2026-02-20 Sanjit Dandapanthula , Aaditya Ramdas

K-Nearest Neighbours (k-NN) is a popular classification and regression algorithm, yet one of its main limitations is the difficulty in choosing the number of neighbours. We present a Bayesian algorithm to compute the posterior probability…

机器学习 · 计算机科学 2017-06-05 Giuseppe Nuti

A change point problem occurs in many statistical applications. If there exist change points in a model, it is harmful to make a statistical analysis without any consideration of the existence of the change points and the results derived…

统计方法学 · 统计学 2011-01-24 Xiaoping Shi , Yuehua Wu , Baisuo Jin

Changepoint detection methods are used in many areas of science and engineering, e.g., in the analysis of copy number variation data, to detect abnormalities in copy numbers along the genome. Despite the broad array of available tools,…

统计方法学 · 统计学 2018-12-11 Sangwon Hyun , Kevin Lin , Max G'Sell , Ryan J. Tibshirani

In this paper, the problem of quickly detecting an abrupt change on a stochastic process under Bayesian framework is considered. Different from the classic Bayesian quickest change-point detection problem, this paper considers the case…

信息论 · 计算机科学 2017-08-24 Jun Geng , Erhan Bayraktar , Lifeng Lai

Accurate uncertainty estimation associated with the pose transformation between two 3D point clouds is critical for autonomous navigation, grasping, and data fusion. Iterative closest point (ICP) is widely used to estimate the…

机器人学 · 计算机科学 2020-04-20 Fahira Afzal Maken , Fabio Ramos , Lionel Ott

Posterior sampling is a task of central importance in Bayesian inference. For many applications in Bayesian meta-analysis and Bayesian transfer learning, the prior distribution is unknown and needs to be estimated from samples. In practice,…

统计计算 · 统计学 2024-08-06 Chenyang Zhong , Shouxuan Ji , Tian Zheng

Bayesian neural learning feature a rigorous approach to estimation and uncertainty quantification via the posterior distribution of weights that represent knowledge of the neural network. This not only provides point estimates of optimal…

机器学习 · 计算机科学 2018-11-13 Rohitash Chandra , Konark Jain , Ratneel V. Deo , Sally Cripps

In this paper we study the kernel change-point algorithm (KCP) proposed by Arlot, Celisse and Harchaoui (2012), which aims at locating an unknown number of change-points in the distribution of a sequence of independent data taking values in…

统计理论 · 数学 2017-06-30 Damien Garreau , Sylvain Arlot

The Markov Chain Monte Carlo (MCMC) algorithm is a widely recognised as an efficient method for sampling a specified posterior distribution. However, when the posterior is multi-modal, conventional MCMC algorithms either tend to become…

天体物理仪器与方法 · 物理学 2014-08-19 Yi-Ming Hu , Martin Hendry , Ik Siong Heng

This paper presents a Markov chain Monte Carlo method to generate approximate posterior samples in retrospective multiple changepoint problems where the number of changes is not known in advance. The method uses conjugate models whereby the…

统计计算 · 统计学 2010-11-15 Jason Wyse , Nial Friel

Bayesian analysis often concerns an evaluation of models with different dimensionality as is necessary in, for example, model selection or mixture models. To facilitate this evaluation, transdimensional Markov chain Monte Carlo (MCMC)…

统计方法学 · 统计学 2018-08-13 Daniel W. Heck , Antony M. Overstall , Quentin F. Gronau , Eric-Jan Wagenmakers

Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

统计理论 · 数学 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

A new Bayesian modelling framework is introduced for piece-wise homogeneous variable-memory Markov chains, along with a collection of effective algorithmic tools for change-point detection and segmentation of discrete time series. Building…

统计方法学 · 统计学 2025-01-14 Valentinian Lungu , Ioannis Papageorgiou , Ioannis Kontoyiannis

We consider Bayesian analysis of a class of multiple changepoint models. While there are a variety of efficient ways to analyse these models if the parameters associated with each segment are independent, there are few general approaches…

统计计算 · 统计学 2009-10-19 Paul Fearnhead , Zhen Liu

Within a Bayesian retrospective framework, we present a way of examining the distribution of \cps through a novel set estimator. For a given level, $\alpha$, we aim at smallest sets that cover all \cps with a probability of at least…

统计理论 · 数学 2018-09-05 Tobias Siems , Marc Hellmuth , Volkmar Liebscher

In a world with data that change rapidly and abruptly, it is important to detect those changes accurately. In this paper we describe an R package implementing a generalized version of an algorithm recently proposed by Hocking et al. [2020]…

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