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Changepoint detection is commonly formulated by minimizing the sum of in-sample losses to quantify the model's overall fit. However, for flexible modeling procedures -- especially those involving high-dimensional parameter spaces or…

统计方法学 · 统计学 2026-05-05 Chengde Qian , Guanghui Wang , Zhaojun Wang , Changliang Zou

Many traditional methods for identifying changepoints can struggle in the presence of outliers, or when the noise is heavy-tailed. Often they will infer additional changepoints in order to fit the outliers. To overcome this problem, data…

统计方法学 · 统计学 2017-07-12 Paul Fearnhead , Guillem Rigaill

We propose a novel method to fit and segment multi-structural data via convex relaxation. Unlike greedy methods --which maximise the number of inliers-- this approach efficiently searches for a soft assignment of points to models by…

计算机视觉与模式识别 · 计算机科学 2017-06-07 Paul Amayo , Pedro Pinies , Lina M. Paz , Paul Newman

We propose a novel approach for detecting change points in high-dimensional linear regression models. Unlike previous research that relied on strict Gaussian/sub-Gaussian error assumptions and had prior knowledge of change points, we…

统计方法学 · 统计学 2024-05-22 Bin Liu , Zhengling Qi , Xinsheng Zhang , Yufeng Liu

We consider the problem of detecting multiple changepoints in large data sets. Our focus is on applications where the number of changepoints will increase as we collect more data: for example in genetics as we analyse larger regions of the…

统计方法学 · 统计学 2015-03-17 R. Killick , P. Fearnhead , I. A. Eckley

We propose a two step algorithm based on $\ell_1/\ell_0$ regularization for the detection and estimation of parameters of a high dimensional change point regression model and provide the corresponding rates of convergence for the change…

统计方法学 · 统计学 2019-01-18 Abhishek Kaul , Venkata K. Jandhyala , Stergios B. Fotopoulos

With the advent of Big Data era, data reduction methods are highly demanded given its ability to simplify huge data, and ease complex learning processes. Concretely, algorithms that are able to filter relevant dimensions from a set of…

机器学习 · 计算机科学 2018-04-17 Sergio Ramírez-Gallego , Salvador García , Ning Xiong , Francisco Herrera

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

Deep learning stands as the modern paradigm for solving cognitive tasks. However, as the problem complexity increases, models grow deeper and computationally prohibitive, hindering advancements in real-world and resource-constrained…

计算机视觉与模式识别 · 计算机科学 2025-06-06 Gustavo Henrique do Nascimento , Ian Pons , Anna Helena Reali Costa , Artur Jordao

This paper is concerned with the detection of multiple change-points in the joint distribution of independent categorical variables. The procedures introduced rely on model selection and are based on a penalized least-squares criterion.…

统计理论 · 数学 2008-01-08 Nathalie Akakpo

In the multiple changepoint setting, various search methods have been proposed which involve optimising either a constrained or penalised cost function over possible numbers and locations of changepoints using dynamic programming. Such…

统计计算 · 统计学 2014-12-12 Kaylea Haynes , Idris A. Eckley , Paul Fearnhead

Automatic segmentation of an image to identify all meaningful parts is one of the most challenging as well as useful tasks in a number of application areas. This is widely studied. Selective segmentation, less studied, aims to use limited…

数值分析 · 数学 2019-07-08 Michael Roberts , Ke Chen , Klaus L. Irion

The goal of the change-point detection is to discover changes of time series distribution. One of the state of the art approaches of the change-point detection are based on direct density ratio estimation. In this work we show how existing…

机器学习 · 计算机科学 2022-06-22 Mikhail Hushchyn , Andrey Ustyuzhanin

A change points detection aims to catch an abrupt disorder in data distribution. Common approaches assume that there are only two fixed distributions for data: one before and another after a change point. Real-world data are richer than…

机器学习 · 计算机科学 2022-04-18 Alexander Stepikin , Evgenia Romanenkova , Alexey Zaytsev

We study the problem of similarity learning and its application to image retrieval with large-scale data. The similarity between pairs of images can be measured by the distances between their high dimensional representations, and the…

机器学习 · 计算机科学 2015-12-08 Qi Qian , Inci M. Baytas , Rong Jin , Anil Jain , Shenghuo Zhu

With the rapid development of large language models (LLMs) and ever-evolving practical requirements, finding an efficient and effective alignment method has never been more critical. However, the tension between the complexity of current…

计算与语言 · 计算机科学 2024-11-05 Jiaming Ji , Boyuan Chen , Hantao Lou , Donghai Hong , Borong Zhang , Xuehai Pan , Juntao Dai , Tianyi Qiu , Yaodong Yang

We consider the problem of breakpoint detection in a regression modeling framework. To that end, we introduce a novel method, the max-EM algorithm which combines a constrained Hidden Markov Model with the Classification-EM (CEM) algorithm.…

统计计算 · 统计学 2024-10-14 Modibo Diabaté , Grégory Nuel , Olivier Bouaziz

Adaptive inference is a simple method for reducing inference costs. The method works by maintaining multiple classifiers of different capacities, and allocating resources to each test instance according to its difficulty. In this work, we…

计算与语言 · 计算机科学 2023-06-06 Daniel Rotem , Michael Hassid , Jonathan Mamou , Roy Schwartz

This paper deals with the geometric multi-model fitting from noisy, unstructured point set data (e.g., laser scanned point clouds). We formulate multi-model fitting problem as a sequential decision making process. We then use a deep…

计算机视觉与模式识别 · 计算机科学 2018-12-31 Zongliang Zhang , Hongbin Zeng , Jonathan Li , Yiping Chen , Chenhui Yang , Cheng Wang

In this paper the problem of retrospective change-point detection and estimation in multivariate linear models is considered. The lower bounds for the error of change-point estimation are proved in different cases (one change-point:…

统计理论 · 数学 2011-10-27 Boris Brodsky , Boris Darkhovsky
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