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In the analysis of sequential data, the detection of abrupt changes is important in predicting future changes. In this paper, we propose statistical hypothesis tests for detecting covariance structure changes in locally smooth time series…

机器学习 · 计算机科学 2020-02-10 Jiyeon Han , Kyowoon Lee , Anh Tong , Jaesik Choi

Detecting a change point is a crucial task in statistics that has been recently extended to the quantum realm. A source state generator that emits a series of single photons in a default state suffers an alteration at some point and starts…

A simultaneous change-point detection and estimation in a piece-wise constant model is a common task in modern statistics. If, in addition, the whole estimation can be performed automatically, in just one single step without going through…

统计理论 · 数学 2019-01-16 Gabriela Ciuperca , Matúš Maciak

Outlier detection (also known as anomaly detection or deviation detection) is a process of detecting data points in which their patterns deviate significantly from others. It is common to have outliers in industry applications, which could…

机器学习 · 计算机科学 2019-11-06 Kasra Babaei , ZhiYuan Chen , Tomas Maul

Change-point detection has garnered significant attention due to its broad range of applications, including epidemic disease outbreaks, social network evolution, image analysis, and wireless communications. In an online setting, where new…

机器学习 · 统计学 2024-08-26 Zihan Wang

Poisson likelihood models have been prevalently used in imaging, social networks, and time series analysis. We propose fast, simple, theoretically-grounded, and versatile, optimization algorithms for Poisson likelihood modeling. The Poisson…

机器学习 · 计算机科学 2016-08-04 Niao He , Zaid Harchaoui , Yichen Wang , Le Song

A new algorithm named EXPected Similarity Estimation (EXPoSE) was recently proposed to solve the problem of large-scale anomaly detection. It is a non-parametric and distribution free kernel method based on the Hilbert space embedding of…

机器学习 · 计算机科学 2015-11-18 Markus Schneider , Wolfgang Ertel , Günther Palm

We study the problem of online network change point detection. In this setting, a collection of independent Bernoulli networks is collected sequentially, and the underlying distributions change when a change point occurs. The goal is to…

统计理论 · 数学 2021-01-15 Yi Yu , Oscar Hernan Madrid Padilla , Daren Wang , Alessandro Rinaldo

We formalize sequential decision-making with information acquisition as the probing-augmented user-centric selection (PUCS) framework, where a learner first probes a subset of arms to obtain side information on resources and rewards, and…

机器学习 · 计算机科学 2025-08-19 Tianyi Xu , Yiting Chen , Henger Li , Zheyong Bian , Emiliano Dall'Anese , Zizhan Zheng

Search engines and recommendation systems attempt to continually improve the quality of the experience they afford to their users. Refining the ranker that produces the lists displayed in response to user requests is an important component…

信息检索 · 计算机科学 2022-06-07 Vishwa Vinay , Manoj Kilaru , David Arbour

Modern applications in sensitive domains such as biometrics and medicine frequently require the use of non-decomposable loss functions such as precision@k, F-measure etc. Compared to point loss functions such as hinge-loss, these offer much…

机器学习 · 计算机科学 2014-10-27 Purushottam Kar , Harikrishna Narasimhan , Prateek Jain

We study the parametric online changepoint detection problem, where the underlying distribution of the streaming data changes from a known distribution to an alternative that is of a known parametric form but with unknown parameters. We…

统计理论 · 数学 2023-05-22 Liyan Xie , George V. Moustakides , Yao Xie

The Expectation-Maximization (EM) algorithm has been predominantly used to approximate the maximum likelihood estimation of the location-scale Gaussian mixtures. However, when the models are over-specified, namely, the chosen number of…

机器学习 · 统计学 2022-05-24 Tongzheng Ren , Fuheng Cui , Sujay Sanghavi , Nhat Ho

Change point estimation is often formulated as a search for the maximum of a gain function describing improved fits when segmenting the data. Searching through all candidates requires $O(n)$ evaluations of the gain function for an interval…

统计方法学 · 统计学 2024-11-22 Solt Kovács , Housen Li , Lorenz Haubner , Axel Munk , Peter Bühlmann

Detecting change points sequentially in a streaming setting, especially when both the mean and the variance of the signal can change, is often a challenging task. A key difficulty in this context often involves setting an appropriate…

统计方法学 · 统计学 2022-11-01 Nauman Ahad , Mark A. Davenport , Yao Xie

Change point detection in covariance structures is a fundamental and crucial problem for sequential data. Under the high-dimensional setting, most of the existing research has focused on identifying change points in historical data.…

统计理论 · 数学 2026-02-02 Zhigang Bao , Kha Man Cheong , Yuji Li , Jiaxin Qiu

There are many research works and methods about change point detection in the literature. However, there are only a few that provide inference for such change points after being estimated. This work mainly focuses on a statistical analysis…

统计方法学 · 统计学 2021-08-02 Reza Valiollahi Mehrizi , Shojaeddin Chenouri

In this work, we explore online convex optimization (OCO) and introduce a new condition and analysis that provides fast rates by exploiting the curvature of feasible sets. In online linear optimization, it is known that if the average…

机器学习 · 计算机科学 2025-02-18 Taira Tsuchiya , Shinji Ito

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

We consider on-line density estimation with a parameterized density from the exponential family. The on-line algorithm receives one example at a time and maintains a parameter that is essentially an average of the past examples. After…

机器学习 · 计算机科学 2013-01-30 Katy S. Azoury , Manfred K. Warmuth