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In this paper we introduce a novel approach for an important problem of break detection. Specifically, we are interested in detection of an abrupt change in the covariance structure of a high-dimensional random process -- a problem, which…

Statistics Theory · Mathematics 2020-07-30 Valeriy Avanesov , Nazar Buzun

State estimation or filtering serves as a fundamental task to enable intelligent decision-making in applications such as autonomous vehicles, robotics, healthcare monitoring, smart grids, intelligent transportation, and predictive…

Machine Learning · Computer Science 2025-06-16 Aamir Hussain Chughtai

Uncertainty quantification for image data is dominated by complex deep learning methods, yet the field lacks an interpretable, mathematically grounded baseline. We propose Bayesian scattering to fill this gap, serving as a first-step…

Machine Learning · Computer Science 2026-03-24 Bernardo Fichera , Zarko Ivkovic , Kjell Jorner , Philipp Hennig , Viacheslav Borovitskiy

Radar must adapt to changing environments, and we propose changepoint detection as a method to do so. In the world of increasingly congested radio frequencies, radars must adapt to avoid interference. Many radar systems employ the…

Systems and Control · Electrical Eng. & Systems 2022-07-15 Samuel Haug , Austin Egbert , Robert J. Marks , Charles Baylis , Anthony Martone

We consider the challenge of efficiently detecting changes within a network of sensors, where we also need to minimise communication between sensors and the cloud. We propose an online, communication-efficient method to detect such changes.…

Methodology · Statistics 2024-04-11 Ziyang Yang , Idris A. Eckley , Paul Fearnhead

BCART (Bayesian Classification and Regression Trees) and BART (Bayesian Additive Regression Trees) are popular Bayesian regression models widely applicable in modern regression problems. Their popularity is intimately tied to the ability to…

Methodology · Statistics 2023-05-19 Matthew T. Pratola , Edward I. George , Robert E. McCulloch

Statistical Relational Learning (SRL) methods for anomaly detection are introduced via a security-related application. Operational requirements for online learning stability are outlined and compared to mathematical definitions as applied…

Machine Learning · Computer Science 2017-05-19 Magnus Jändel , Pontus Svenson , Niclas Wadströmer

A key component of cognitive radar is the ability to generalize, or achieve consistent performance across a range of sensing environments, since aspects of the physical scene may vary over time. This presents a challenge for learning-based…

Information Theory · Computer Science 2023-02-08 Charles E. Thornton , R. Michael Buehrer , Anthony F. Martone

General object detectors use powerful backbones that uniformly extract features from images for enabling detection of a vast amount of object types. However, utilization of such backbones in object detection applications developed for…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Alexandra Dana , Maor Shutman , Yotam Perlitz , Ran Vitek , Tomer Peleg , Roy J Jevnisek

Consider a Bayesian inference problem where a variable of interest does not take values in a Euclidean space. These "non-standard" data structures are in reality fairly common. They are frequently used in problems involving latent discrete…

Bayesian learning has emerged as a compelling and vital research direction in the field of structural dynamics, offering a probabilistic lens to understand and refine the analysis of complex dynamical systems. This review meticulously…

Data Analysis, Statistics and Probability · Physics 2025-06-03 Wang-Ji Yan , Lin-Feng Mei , Yuan-Wei Yin , Jiang Mo , Costas Papadimitriou , Ka-Veng Yuen , Michael Beer

Neural demyelination and brain damage accumulated in white matter appear as hyperintense areas on T2-weighted MRI scans in the form of lesions. Modeling binary images at the population level, where each voxel represents the existence of a…

Methodology · Statistics 2023-05-29 Anna Menacher , Thomas E. Nichols , Chris Holmes , Habib Ganjgahi

The detection of anomalies or transitions in complex dynamical systems is of critical importance to various applications. In this study, we propose the use of machine learning to detect changepoints for high-dimensional dynamical systems.…

Dynamical Systems · Mathematics 2023-05-18 Sen Lin , Gianmarco Mengaldo , Romit Maulik

We propose a novel feature re-identification method for real-time visual-inertial SLAM. The front-end module of the state-of-the-art visual-inertial SLAM methods (e.g. visual feature extraction and matching schemes) relies on feature tracks…

Computer Vision and Pattern Recognition · Computer Science 2021-03-01 Xiongfeng Peng , Zhihua Liu , Qiang Wang , Yun-Tae Kim , Myungjae Jeon

Damage to road pavement can develop into cracks, potholes, spallings, and other issues posing significant challenges to the integrity, safety, and durability of the road structure. Detecting and monitoring the evolution of these damages is…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Punnawat Siripathitti , Florent Forest , Olga Fink

Bayesian Last Layer (BLL) models focus solely on uncertainty in the output layer of neural networks, demonstrating comparable performance to more complex Bayesian models. However, the use of Gaussian priors for last layer weights in…

Machine Learning · Computer Science 2024-08-08 Jian Xu , Zhiqi Lin , Shigui Li , Min Chen , Junmei Yang , Delu Zeng , John Paisley

3D Gaussian Splatting (3DGS) has gained significant attention for its real-time, photo-realistic rendering in novel-view synthesis and 3D modeling. However, existing methods struggle with accurately modeling scenes affected by transient…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Chuanyu Fu , Yuqi Zhang , Kunbin Yao , Guanying Chen , Yuan Xiong , Chuan Huang , Shuguang Cui , Xiaochun Cao

This paper introduces a novel indexing and access method, called Feature- Based Adaptive Tolerance Tree (FATT), using wavelet transform is proposed to organize large image data sets efficiently and to support popular image access mechanisms…

Multimedia · Computer Science 2010-04-09 Dr. P. AnandhaKumar , V. Balamurugan

This article introduces the sequential Kalman filter, a computationally scalable approach for online changepoint detection with temporally correlated data. The temporal correlation was not considered in the Bayesian online changepoint…

Applications · Statistics 2024-01-02 Hanmo Li , Yuedong Wang , Mengyang Gu

Accurate post-processing navigation is essential for applications such as survey and mapping, where the full measurement history can be exploited to refine past state estimates. Fixed-interval smoothing algorithms represent the…

Robotics · Computer Science 2026-03-27 Nadav Cohen , Itzik Klein