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We propose a computationally and statistically efficient procedure for segmenting univariate data under piecewise linearity. The proposed moving sum (MOSUM) methodology detects multiple change points where the underlying signal undergoes…

统计方法学 · 统计学 2023-08-25 Joonpyo Kim , Hee-Seok Oh , Haeran Cho

Estimation and inference with modern longitudinal data from wearable devices, which consist of biological signals at high-frequency time points, is burdened by massive computational costs. We propose a distributed estimation and inference…

统计方法学 · 统计学 2023-09-13 Cole Manschot , Emily C. Hector

Industrial defect segmentation is critical for manufacturing quality control. Due to the scarcity of training defect samples, few-shot semantic segmentation (FSS) holds significant value in this field. However, existing studies mostly apply…

计算机视觉与模式识别 · 计算机科学 2025-02-12 Tongkun Liu , Bing Li , Xiao Jin , Yupeng Shi , Qiuying Li , Xiang Wei

We propose a novel approach for change-point detection and parameter learning in multivariate non-stationary time series exhibiting oscillatory behaviour. We approximate the process through a piecewise function defined by a sum of…

统计方法学 · 统计学 2026-02-02 Nicolas Bianco , Lorenzo Cappello

The Lasso (Least Absolute Shrinkage and Selection Operator) has been a popular technique for simultaneous linear regression estimation and variable selection. In this paper, we propose a new novel approach for robust Lasso that follows the…

统计方法学 · 统计学 2016-05-13 Esa Ollila

Conformal prediction is a general method that converts almost any point predictor to a prediction set. The resulting set keeps good statistical properties of the original estimator under standard assumptions, and guarantees valid average…

统计方法学 · 统计学 2017-08-02 Jing Lei

This article introduces the sparse group fused lasso (SGFL) as a statistical framework for segmenting sparse regression models with multivariate time series. To compute solutions of the SGFL, a nonsmooth and nonseparable convex program, we…

统计计算 · 统计学 2020-10-09 David Degras

This paper proposes stochastic models for the analysis of ocean surface trajectories obtained from freely-drifting satellite-tracked instruments. The proposed time series models are used to summarise large multivariate datasets and infer…

应用统计 · 统计学 2017-03-16 Adam M. Sykulski , Sofia C. Olhede , Jonathan M. Lilly , Eric Danioux

In this paper we analyze the asymptotic properties of l1 penalized maximum likelihood estimation of signals with piece-wise constant mean values and/or variances. The focus is on segmentation of a non-stationary time series with respect to…

统计理论 · 数学 2014-01-22 Cristian R. Rojas , Bo Wahlberg

We consider model selection and estimation for partial spline models and propose a new regularization method in the context of smoothing splines. The regularization method has a simple yet elegant form, consisting of roughness penalty on…

统计方法学 · 统计学 2013-11-25 Guang Cheng , Hao Helen Zhang , Zuofeng Shang

In recent years, change point detection for high dimensional data has become increasingly important in many scientific fields. Most literature develop a variety of separate methods designed for specified models (e.g. mean shift model,…

统计方法学 · 统计学 2022-07-20 Yue Bai , Abolfazl Safikhani

In this paper, we consider lasso problems with zero-sum constraint, commonly required for the analysis of compositional data in high-dimensional spaces. A novel algorithm is proposed to solve these problems, combining a tailored active-set…

最优化与控制 · 数学 2022-09-26 Andrea Cristofari

In this manuscript, we study quantile regression in partial functional linear model where response is scalar and predictors include both scalars and multiple functions. Wavelet basis are adopted to better approximate functional slopes while…

统计理论 · 数学 2017-12-05 Dengdeng Yu , Li Zhang , Ivan Mizera , Bei Jiang , Linglong Kong

In applied time-to-event analysis, a flexible parametric approach is to model the hazard rate as a piecewise constant function of time. However, the change points and values of the piecewise constant hazard are usually unknown and need to…

统计方法学 · 统计学 2024-08-08 Manuel Rosenbaum , Jan Beyersmann , Michael Vogt

We describe an approach for segmenting an image into regions that correspond to surfaces in the scene that are partially surrounded by the medium. It integrates both appearance and motion statistics into a cost functional, that is seeded…

计算机视觉与模式识别 · 计算机科学 2011-09-23 Alper Ayvaci , Stefano Soatto

Functional linear discriminant analysis offers a simple yet efficient method for classification, with the possibility of achieving a perfect classification. Several methods are proposed in the literature that mostly address the…

统计方法学 · 统计学 2020-12-14 Juhyun Park , Jeongyoun Ahn , Yongho Jeon

The least absolute shrinkage and selection operator (Lasso) is a popular method for high-dimensional statistics. However, it is known that the Lasso often has estimation bias and prediction error. To address such disadvantages, many…

统计方法学 · 统计学 2026-04-29 Guo Liu

This paper characterizes the performance of massive multiuser spatial modulation MIMO systems, when a regularized form of the least-squares method is used for detection. For a generic distortion function and right unitarily invariant…

信息论 · 计算机科学 2020-11-18 Ali Bereyhi , Saba Asaad , Bernhard Gäde , Ralf R. Müller , H. Vincent Poor

This paper examines LASSO, a widely-used $L_{1}$-penalized regression method, in high dimensional linear predictive regressions, particularly when the number of potential predictors exceeds the sample size and numerous unit root regressors…

计量经济学 · 经济学 2024-01-17 Ziwei Mei , Zhentao Shi

We introduce a novel framework for change point detection in spherical functional autoregressive (SPHAR) processes, enabling the identification of structural breaks in spatio-temporal random fields on the sphere. Our LASSO-regularized…

统计方法学 · 统计学 2025-12-04 Federica Spoto , Alessia Caponera , Pierpaolo Brutti