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Predicting missing segments in partially observed functions is challenging due to infinite-dimensionality, complex dependence within and across observations, and irregular noise. These challenges are further exacerbated by the existence of…

Methodology · Statistics 2025-11-20 Fangyi Wang , Sebastian Kurtek , Yuan Zhang

In modern business modeling and analytics, data monitoring plays a critical role. Nowadays, sophisticated models often rely on hundreds or even thousands of input variables. Over time, structural changes such as abrupt level shifts or trend…

Methodology · Statistics 2019-10-07 Yingbo Li , Robert Cezeaux , Di Yu

Detection of change-points in a sequence of high-dimensional observations is a very challenging problem, and this becomes even more challenging when the sample size (i.e., the sequence length) is small. In this article, we propose some…

Methodology · Statistics 2021-11-30 Trisha Dawn , Angshuman Roy , Alokesh Manna , Anil K. Ghosh

Distribution shifts are ubiquitous in real-world machine learning applications, posing a challenge to the generalization of models trained on one data distribution to another. We focus on scenarios where data distributions vary across…

Machine Learning · Statistics 2024-06-05 Steven Wilkins-Reeves , Xu Chen , Qi Ma , Christine Agarwal , Aude Hofleitner

The smooth piecewise-linear models cover a wide range of applications nowadays. Basically, there are two classes of them: models are transitional or hyperbolic according to their behaviour at the phase-transition zones. This study explored…

Methodology · Statistics 2020-11-17 Ferreira , Iuri Emmanuel de Paula , Zocchi , Silvio Sandoval

A major bottleneck of pedestrian detection lies on the sharp performance deterioration in the presence of small-size pedestrians that are relatively far from the camera. Motivated by the observation that pedestrians of disparate spatial…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Xiaowei Zhang , Li Cheng , Bo Li , Hai-Miao Hu

We consider the problem of detecting change-points in univariate time series by fitting a continuous piecewise linear signal using the residual sum of squares. Values of the inferred signal at slope breaks are restricted to a finite set of…

Computation · Statistics 2022-04-08 Vincent Runge , Marco Pascucci , Nicolas Deschamps de Boishebert

A novel method for decomposing a nonstationary signal into amplitude- and frequency-modulated (AM-FM) oscillations and discontinuous (jump) components is proposed. Current nonstationary signal decomposition methods are designed to either…

Signal Processing · Electrical Eng. & Systems 2024-07-11 Mojtaba Nazari , Anders Rosendal Korshøj , Naveed ur Rehman

Multiscale models allow for the treatment of complex phenomena involving different scales, such as remodeling and growth of tissues, muscular activation, and cardiac electrophysiology. Numerous numerical approaches have been developed to…

Numerical Analysis · Mathematics 2018-06-28 Marco Favino , Alessio Quaglino , Sonia Pozzi , Rolf Krause , Igor Pivkin

Missing value is a very common and unavoidable problem in sensors, and researchers have made numerous attempts for missing value imputation, particularly in deep learning models. However, for real sensor data, the specific data distribution…

Machine Learning · Computer Science 2022-09-27 JinSheng Yang , YuanHai Shao , ChunNa Li , Wensi Wang

Incorporating multi-scale features in fully convolutional neural networks (FCNs) has been a key element to achieving state-of-the-art performance on semantic image segmentation. One common way to extract multi-scale features is to feed…

Computer Vision and Pattern Recognition · Computer Science 2016-06-03 Liang-Chieh Chen , Yi Yang , Jiang Wang , Wei Xu , Alan L. Yuille

This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

Methodology · Statistics 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

We study the problem of detecting and locating change points in high-dimensional Vector Autoregressive (VAR) models, whose transition matrices exhibit low rank plus sparse structure. We first address the problem of detecting a single change…

Methodology · Statistics 2021-10-01 Peiliang Bai , Abolfazl Safikhani , George Michailidis

Semantic segmentation aims to robustly predict coherent class labels for entire regions of an image. It is a scene understanding task that powers real-world applications (e.g., autonomous navigation). One important application, the use of…

Computer Vision and Pattern Recognition · Computer Science 2023-02-16 Yuxiang Zhang , Sachin Mehta , Anat Caspi

This article introduces a functional method for lower-dimensional smooth representations in terms of time-varying dissimilarities. The method incorporates dissimilarity representation in multidimensional scaling and smoothness approach of…

Methodology · Statistics 2025-05-02 Liting Li

Convolutional Neural Networks (CNNs) have shown to be powerful medical image segmentation models. In this study, we address some of the main unresolved issues regarding these models. Specifically, training of these models on small medical…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Davood Karimi , Ali Gholipour

We propose a change-point detection method for large scale multiple testing problems with data having clustered signals. Unlike the classic change-point setup, the signals can vary in size within a cluster. The clustering structure on the…

Methodology · Statistics 2021-10-07 Hongyuan Cao , Wei Biao Wu

Multi-scale inference is commonly used to improve the results of semantic segmentation. Multiple images scales are passed through a network and then the results are combined with averaging or max pooling. In this work, we present an…

Computer Vision and Pattern Recognition · Computer Science 2020-05-22 Andrew Tao , Karan Sapra , Bryan Catanzaro

When applying a statistical method in practice it often occurs that some observations deviate from the usual assumptions. However, many classical methods are sensitive to outliers. The goal of robust statistics is to develop methods that…

Methodology · Statistics 2008-08-06 Mia Hubert , Peter J. Rousseeuw , Stefan Van Aelst

The problem of change-point estimation is considered under a general framework where the data are generated by unknown stationary ergodic process distributions. In this context, the consistent estimation of the number of change-points is…

Machine Learning · Statistics 2013-02-15 Azaden Khaleghi , Daniil Ryabko