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We tackle the challenge of detecting multiple change points in large time series by optimising a penalised likelihood derived from exponential family models. Dynamic programming algorithms can solve this task exactly with at most quadratic…

Methodology · Statistics 2025-07-14 Vincent Runge , Charles Truong , Simon Querné

Branch-specific substitution models are popular for detecting evolutionary change-points, such as shifts in selective pressure. However, applying such models typically requires prior knowledge of change-point locations on the phylogeny or…

Populations and Evolution · Quantitative Biology 2026-05-06 Xiang Ji , Benjamin Redelings , Shuo Su , Hongcun Bao , Wu-Min Deng , Samuel L. Hong , Guy Baele , Philippe Lemey , Marc A. Suchard

Stochastic gradient methods are dominant in nonconvex optimization especially for deep models but have low asymptotical convergence due to the fixed smoothness. To address this problem, we propose a simple yet effective method for improving…

Machine Learning · Computer Science 2018-05-25 Jun Li , Hongfu Liu , Bineng Zhong , Yue Wu , Yun Fu

A ubiquitous feature of data of our era is their extra-large sizes and dimensions. Analyzing such high-dimensional data poses significant challenges, since the feature dimension is often much larger than the sample size. This thesis…

Statistics Theory · Mathematics 2025-09-11 Kai Yang

Regularization is widely used in statistics and machine learning to prevent overfitting and gear solution towards prior information. In general, a regularized estimation problem minimizes the sum of a loss function and a penalty term. The…

Computation · Statistics 2012-01-18 Hua Zhou , Yichao Wu

In multiple change-point problems, different data segments often follow different distributions, for which the changes may occur in the mean, scale or the entire distribution from one segment to another. Without the need to know the number…

Statistics Theory · Mathematics 2014-05-29 Changliang Zou , Guosheng Yin , Long Feng , Zhaojun Wang

Change point detection algorithms have numerous applications in fields of scientific and economic importance. We consider the problem of change point detection on compositional multivariate data (each sample is a probability mass function),…

Applications · Statistics 2019-01-16 Prabuchandran K. J. , Nitin Singh , Pankaj Dayama , Vinayaka Pandit

At present, object recognition studies are mostly conducted in a closed lab setting with classes in test phase typically in training phase. However, real-world problem is far more challenging because: i) new classes unseen in the training…

Machine Learning · Computer Science 2020-03-24 Xiaojie Guo , Amir Alipour-Fanid , Lingfei Wu , Hemant Purohit , Xiang Chen , Kai Zeng , Liang Zhao

Assuming stationarity is unrealistic in many time series applications. A more realistic alternative is to allow for piecewise stationarity, where the model is allowed to change at given time points. In this article, the problem of detecting…

Methodology · Statistics 2017-08-10 Abolfazl Safikhani , Ali Shojaie

We introduce a new method for high-dimensional, online changepoint detection in settings where a $p$-variate Gaussian data stream may undergo a change in mean. The procedure works by performing likelihood ratio tests against simple…

Methodology · Statistics 2020-10-13 Yudong Chen , Tengyao Wang , Richard J. Samworth

Multidimensional Scaling (MDS) is a classic technique that seeks vectorial representations for data points, given the pairwise distances between them. However, in recent years, data are usually collected from diverse sources or have…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Song Bai , Xiang Bai , Longin Jan Latecki , Qi Tian

We focus on bridging domain discrepancy in lane detection among different scenarios to greatly reduce extra annotation and re-training costs for autonomous driving. Critical factors hinder the performance improvement of cross-domain lane…

Computer Vision and Pattern Recognition · Computer Science 2022-11-10 Chenguang Li , Boheng Zhang , Jia Shi , Guangliang Cheng

We propose a new, computationally efficient, sparsity adaptive changepoint estimator for detecting changes in unknown subsets of a high-dimensional data sequence. Assuming the data sequence is Gaussian, we prove that the new method…

Methodology · Statistics 2023-11-27 Per August Jarval Moen , Ingrid Kristine Glad , Martin Tveten

This paper introduces a novel system identification and tracking method for PieceWise Smooth (PWS) nonlinear stochastic hybrid systems. We are able to correctly identify and track challenging problems with diverse dynamics and low…

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…

Methodology · Statistics 2022-11-01 Nauman Ahad , Mark A. Davenport , Yao Xie

This paper provides an overview of recent developments in quickest change detection (QCD) for high-dimensional multi-sensor systems, with an emphasis on settings involving structural constraints and limited sensing resources. Classical QCD…

Statistics Theory · Mathematics 2026-04-21 Topi Halme , Visa Koivunen

Recent advances in neural radiation fields (NeRF) and 3D Gaussian-based SLAM have achieved impressive localization accuracy and high-quality dense mapping in static scenes. However, these methods remain challenged in dynamic environments,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Wenhua Wu , Chenpeng Su , Siting Zhu , Tianchen Deng , Jianhao Jiao , Guangming Wang , Dimitrios Kanoulas , Zhe Liu , Hesheng Wang

Motivation: The high dimensionality of genomic data calls for the development of specific classification methodologies, especially to prevent over-optimistic predictions. This challenge can be tackled by compression and variable selection,…

Methodology · Statistics 2021-04-10 G. Durif , L. Modolo , J. Michaelsson , J. E. Mold , S. Lambert-Lacroix , F. Picard

Lane detection is a fundamental task in autonomous driving. While the problem is typically formulated as the detection of continuous boundaries, we study the problem of detecting lane boundaries that are sparsely marked by 2D points with…

Robotics · Computer Science 2024-05-28 Ivo Ivanov , Carsten Markgraf

In recent years, various means of efficiently detecting changepoints in the univariate setting have been proposed, with one popular approach involving minimising a penalised cost function using dynamic programming. In some situations, these…

Methodology · Statistics 2018-10-09 S. O. Tickle , I. A. Eckley , P. Fearnhead , K. Haynes