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We consider the high-dimensional sparse linear regression problem of accurately estimating a sparse vector using a small number of linear measurements that are contaminated by noise. It is well known that the standard cadre of…

统计理论 · 数学 2014-02-25 Divyanshu Vats , Richard G. Baraniuk

We introduce a new methodology 'charcoal' for estimating the location of sparse changes in high-dimensional linear regression coefficients, without assuming that those coefficients are individually sparse. The procedure works by…

统计理论 · 数学 2023-05-23 Fengnan Gao , Tengyao Wang

The extensive emergence of big data techniques has led to an increasing interest in the development of change-point detection algorithms that can perform well in a multivariate, possibly high-dimensional setting. In the current paper, we…

统计方法学 · 统计学 2022-11-15 Andreas Anastasiou , Angelos Papanastasiou

We consider change-point estimation in a sequence of high-dimensional signals given noisy observations. Classical approaches to this problem such as the filtered derivative method are useful for sequences of scalar-valued signals, but they…

统计理论 · 数学 2015-01-08 Yong Sheng Soh , Venkat Chandrasekaran

High-dimensional vector autoregressive (VAR) models have numerous applications in fields such as econometrics, biology, climatology, among others. While prior research has mainly focused on linear VAR models, these approaches can be…

统计理论 · 数学 2025-11-25 Yuefeng Han , Likai Chen , Wei Biao Wu

We introduce a framework for online changepoint detection and simultaneous model learning which is applicable to highly parametrized models, such as deep neural networks. It is based on detecting changepoints across time by sequentially…

机器学习 · 计算机科学 2020-10-08 Michalis K. Titsias , Jakub Sygnowski , Yutian Chen

Detecting when the underlying distribution changes for the observed time series is a fundamental problem arising in a broad spectrum of applications. In this paper, we study multiple change-point localization in the high-dimensional…

统计理论 · 数学 2021-10-12 Daren Wang , Zifeng Zhao , Kevin Lin , Rebecca Willett

Change-point processes are one flexible approach to model long time series. We propose a method to uncover which model parameter truly vary when a change-point is detected. Given a set of breakpoints, we use a penalized likelihood approach…

计量经济学 · 经济学 2024-02-09 Arnaud Dufays , Aristide Houndetoungan , Alain Coën

We propose a non-parametric statistical procedure for detecting multiple change-points in multidimensional signals. The method is based on a test statistic that generalizes the well-known Kruskal-Wallis procedure to the multivariate…

统计方法学 · 统计学 2011-02-11 Alexandre Lung-Yut-Fong , Céline Lévy-Leduc , Olivier Cappé

A new approach to detect change points based on differential smoothing and multiple testing is presented for long data sequences modeled as piecewise constant functions plus stationary ergodic Gaussian noise. As an application of the STEM…

统计理论 · 数学 2019-11-20 Dan Cheng , Zhibing He , Armin Schwartzman

In this paper, we study the problem of multiple change-point detection for a univariate sequence under the epidemic setting, where the behavior of the sequence alternates between a common normal state and different epidemic states. This is…

统计方法学 · 统计学 2021-01-07 Zifeng Zhao , Chun Yip Yau

Precision matrix, which is the inverse of covariance matrix, plays an important role in statistics, as it captures the partial correlation between variables. Testing the equality of two precision matrices in high dimensional setting is a…

统计方法学 · 统计学 2018-10-23 Mingjuan Zhang , Yong He , Cheng Zhou , Xinsheng Zhang

In this thesis, we propose a pioneering work on sparse keypoints tracking across images using transformer networks. While deep learning-based keypoints matching have been widely investigated using graph neural networks - and more recently…

计算机视觉与模式识别 · 计算机科学 2022-03-25 Oleksii Nasypanyi , Francois Rameau

Maximum likelihood estimation of large Markov-switching vector autoregressions (MS-VARs) can be challenging or infeasible due to parameter proliferation. To accommodate situations where dimensionality may be of comparable order to or…

计量经济学 · 经济学 2021-07-28 Kenwin Maung

We live in a dynamic world where things change all the time. Given two images of the same scene, being able to automatically detect the changes in them has practical applications in a variety of domains. In this paper, we tackle the change…

计算机视觉与模式识别 · 计算机科学 2022-09-30 Ragav Sachdeva , Andrew Zisserman

In this paper, we investigate the problem of optimization multivariate performance measures, and propose a novel algorithm for it. Different from traditional machine learning methods which optimize simple loss functions to learn prediction…

机器学习 · 计算机科学 2015-08-03 Jiachen Yanga , Zhiyong Dinga , Fei Guoa , Huogen Wanga , Nick Hughesb

The problem of broad practical interest in spatiotemporal data analysis, i.e., discovering interpretable dynamic patterns from spatiotemporal data, is studied in this paper. Towards this end, we develop a time-varying reduced-rank vector…

机器学习 · 计算机科学 2022-11-29 Xinyu Chen , Chengyuan Zhang , Xiaoxu Chen , Nicolas Saunier , Lijun Sun

In this paper, we study statistical inference of change-points (CPs) in multi-dimensional sequence. In CP detection from a multi-dimensional sequence, it is often desirable not only to detect the location, but also to identify the subset of…

机器学习 · 统计学 2021-10-19 Ryota Sugiyama , Hiroki Toda , Vo Nguyen Le Duy , Yu Inatsu , Ichiro Takeuchi

We examine the linear regression problem in a challenging high-dimensional setting with correlated predictors where the vector of coefficients can vary from sparse to dense. In this setting, we propose a combination of probabilistic…

统计方法学 · 统计学 2025-05-13 Roman Parzer , Peter Filzmoser , Laura Vana-Gür

We consider inference problems for high-dimensional (HD) functional data with a dense number (T) of repeated measurements taken for a large number of p variables from a small number of n experimental units. The spatial and temporal…

统计方法学 · 统计学 2020-05-06 Shawn Santo , Ping-Shou Zhong