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This work explores use of novel advances in best subset selection for regression modelling via continuous optimization for offline change point detection and estimation in univariate Gaussian data sequences. The approach exploits…

Methodology · Statistics 2024-07-08 Hans Reimann , Sarat Moka , Georgy Sofronov

We propose a new method for supervised learning, especially suited to wide data where the number of features is much greater than the number of observations. The method combines the lasso ($\ell_1$) sparsity penalty with a quadratic penalty…

Methodology · Statistics 2018-10-25 J. Kenneth Tay , Jerome Friedman , Robert Tibshirani

Transport mode detection is a classification problem aiming to design an algorithm that can infer the transport mode of a user given multimodal signals (GPS and/or inertial sensors). It has many applications, such as carbon footprint…

Signal Processing · Electrical Eng. & Systems 2021-09-21 Hugues Moreau , Andréa Vassilev , Liming Chen

In this paper, for Lasso penalized linear regression models in high-dimensional settings, we propose a modified cross-validation method for selecting the penalty parameter. The methodology is extended to other penalties, such as Elastic…

Methodology · Statistics 2013-09-10 Yi Yu , Yang Feng

We develop a mixture procedure for multi-sensor systems to monitor data streams for a change-point that causes a gradual degradation to a subset of the streams. Observations are assumed to be initially normal random variables with known…

Machine Learning · Statistics 2016-02-19 Yang Cao , Yao Xie , Nagi Gebraeel

High-dimensional changepoint analysis is a growing area of research and has applications in a wide range of fields. The aim is to accurately and efficiently detect changepoints in time series data when both the number of time points and…

Methodology · Statistics 2020-04-01 Thomas Grundy , Rebecca Killick , Gueorgui Mihaylov

Online change-point detection (OCPD) is important for application in various areas such as finance, biology, and the Internet of Things (IoT). However, OCPD faces major challenges due to high-dimensionality, and it is still rarely studied…

Machine Learning · Statistics 2019-06-10 Yang-Wen Sun , Katerina Papagiannouli , Vladmir Spokoiny

The monitoring and management of high-volume feature-rich traffic in large networks offers significant challenges in storage, transmission and computational costs. The predominant approach to reducing these costs is based on performing a…

Machine Learning · Computer Science 2016-06-16 Tingshan Huang , Harish Sethu , Nagarajan Kandasamy

A recent reformulation [1] of the problem of Coulomb gases in the presence of a dynamical dielectric medium showed that finite temperature simulations of such systems can be accomplished on the basis of completely local Hamiltonians on a…

Soft Condensed Matter · Physics 2009-11-11 A. Duncan , R. D. Sedgewick

This paper presents a robust multi-class multi-object tracking (MCMOT) formulated by a Bayesian filtering framework. Multi-object tracking for unlimited object classes is conducted by combining detection responses and changing point…

Computer Vision and Pattern Recognition · Computer Science 2018-05-30 Byungjae Lee , Enkhbayar Erdenee , Songguo Jin , Phill Kyu Rhee

Motivated by an increasing demand for models that can effectively describe features of complex multivariate time series, e.g. from sensor data in biomechanics, motion analysis, and sports science, we introduce a novel state-space modeling…

Methodology · Statistics 2025-06-23 Alice Giampino , Bernardo Nipoti , Marina Vannucci , Michele Guindani

Time series segmentation, a.k.a. multiple change-point detection, is a well-established problem. However, few solutions are designed specifically for high-dimensional situations. In this paper, our interest is in segmenting the second-order…

Methodology · Statistics 2016-11-29 Haeran Cho , Piotr Fryzlewicz

We propose a multi-stage learning approach for pruning the search space of maximum clique enumeration, a fundamental computationally difficult problem arising in various network analysis tasks. In each stage, our approach learns the…

Machine Learning · Computer Science 2019-10-02 Marco Grassia , Juho Lauri , Sourav Dutta , Deepak Ajwani

The problem of detecting change points in the parameters of a linear regression model with errors and covariates exhibiting heteroscedasticity is considered. Asymptotic results for weighted functionals of the cumulative sum (CUSUM)…

Econometrics · Economics 2025-10-28 Lajos Horvath , Gregory Rice , Yuqian Zhao

This work addresses the problem of segmentation in time series data with respect to a statistical parameter of interest in Bayesian models. It is common to assume that the parameters are distinct within each segment. As such, many Bayesian…

Signal Processing · Electrical Eng. & Systems 2019-01-18 Alireza Ahrabian

In Cyber-Physical Systems (CPS) research, anomaly detection (detecting abnormal behavior) and diagnosis (identifying the underlying root cause) are often treated as distinct, isolated tasks. However, diagnosis algorithms require symptoms,…

Machine Learning · Computer Science 2023-11-28 Henrik S. Steude , Lukas Moddemann , Alexander Diedrich , Jonas Ehrhardt , Oliver Niggemann

Many least squares problems involve affine equality and inequality constraints. Although there are variety of methods for solving such problems, most statisticians find constrained estimation challenging. The current paper proposes a new…

Computation · Statistics 2013-10-22 Hua Zhou , Kenneth Lange

The problem of best subset selection in linear regression is considered with the aim to find a fixed size subset of features that best fits the response. This is particularly challenging when the total available number of features is very…

Methodology · Statistics 2023-11-28 Sarat Moka , Benoit Liquet , Houying Zhu , Samuel Muller

The ocean is filled with phytoplankton that contribute as much photosynthesis as all land plants combined, making them vital to the carbon cycle and climate system. Recent advances in flow cytometry allow oceanographers to measure the…

Methodology · Statistics 2026-03-09 Yik Lun Kei , Qi Wang , Paul Parker , Francois Ribalet , Sangwon Hyun

Two common problems in time series analysis are the decomposition of the data stream into disjoint segments that are each in some sense "homogeneous" - a problem known as Change Point Detection (CPD) - and the grouping of similar…

Signal Processing · Electrical Eng. & Systems 2020-02-24 Kevin C. Cheng , Shuchin Aeron , Michael C. Hughes , Erika Hussey , Eric L. Miller