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Reliable detection of anomalies is crucial when deploying machine learning models in practice, but remains challenging due to the lack of labeled data. To tackle this challenge, contrastive learning approaches are becoming increasingly…

Computer Vision and Pattern Recognition · Computer Science 2021-07-19 Puck de Haan , Sindy Löwe

High dimensional piecewise stationary graphical models represent a versatile class for modelling time varying networks arising in diverse application areas, including biology, economics, and social sciences. There has been recent work in…

Machine Learning · Statistics 2018-06-21 Hossein Keshavarz , George Michailidis , Yves Atchade

The Gaussian Graphical Model (GGM) is a popular tool for incorporating sparsity into joint multivariate distributions. The G-Wishart distribution, a conjugate prior for precision matrices satisfying general GGM constraints, has now been in…

Computation · Statistics 2012-05-15 Yuan Cheng , Alex Lenkoski

Graph anomaly detection (GAD) aims to identify abnormal nodes that differ from the majority of the nodes in a graph, which has been attracting significant attention in recent years. Existing generalist graph models have achieved remarkable…

Machine Learning · Computer Science 2025-06-03 Hezhe Qiao , Chaoxi Niu , Ling Chen , Guansong Pang

We study the estimation of the latent variable Gaussian graphical model (LVGGM), where the precision matrix is the superposition of a sparse matrix and a low-rank matrix. In order to speed up the estimation of the sparse plus low-rank…

Machine Learning · Statistics 2017-03-01 Pan Xu , Jian Ma , Quanquan Gu

Mixture models with Gamma and or inverse-Gamma distributed mixture components are useful for medical image tissue segmentation or as post-hoc models for regression coefficients obtained from linear regression within a Generalised Linear…

Machine Learning · Statistics 2016-07-27 A. Llera , D. Vidaurre , R. H. R. Pruim , C. F. Beckmann

Generative adversarial networks (GANs) learn the distribution of observed samples through a zero-sum game between two machine players, a generator and a discriminator. While GANs achieve great success in learning the complex distribution of…

Machine Learning · Computer Science 2020-06-19 Farzan Farnia , William Wang , Subhro Das , Ali Jadbabaie

In this paper, we propose an adaptive matched detector of a signal corrupted by a non-Gaussian noise with an inverse gamma texture. The detector is formed using a set of secondary data measurements, and is analytically shown to have a…

Applications · Statistics 2017-05-15 Shiwen Lei , Andreas Jakobsson , Zhiqin Zhao

Matching 3D rigid point clouds in complex environments robustly and accurately is still a core technique used in many applications. This paper proposes a new architecture combining error estimation from sample covariances and dual global…

Computer Vision and Pattern Recognition · Computer Science 2017-07-28 Can Pu , Nanbo Li , Robert B Fisher

Feature-based image matching has extensive applications in computer vision. Keypoints detected in images can be naturally represented as graph structures, and Graph Neural Networks (GNNs) have been shown to outperform traditional deep…

Computer Vision and Pattern Recognition · Computer Science 2025-08-29 Xianfeng Song , Yi Zou , Zheng Shi , Zheng Liu

We consider the problem of estimating (diagonally dominant) M-matrices as precision matrices in Gaussian graphical models. These models exhibit intriguing properties, such as the existence of the maximum likelihood estimator with merely two…

Machine Learning · Statistics 2023-06-12 Jiaxi Ying , José Vinícius de M. Cardoso , Daniel P. Palomar

We investigate the relationship between the structure of a discrete graphical model and the support of the inverse of a generalized covariance matrix. We show that for certain graph structures, the support of the inverse covariance matrix…

Machine Learning · Statistics 2014-01-07 Po-Ling Loh , Martin J. Wainwright

We introduce Contrastive Gaussian Clustering, a novel approach capable of provide segmentation masks from any viewpoint and of enabling 3D segmentation of the scene. Recent works in novel-view synthesis have shown how to model the…

Computer Vision and Pattern Recognition · Computer Science 2024-04-22 Myrna C. Silva , Mahtab Dahaghin , Matteo Toso , Alessio Del Bue

Contrastive learning, as a self-supervised learning paradigm, becomes popular for Multivariate Time-Series (MTS) classification. It ensures the consistency across different views of unlabeled samples and then learns effective…

Machine Learning · Computer Science 2024-01-11 Yucheng Wang , Yuecong Xu , Jianfei Yang , Min Wu , Xiaoli Li , Lihua Xie , Zhenghua Chen

Graph Contrastive Learning (GCL) relies on semantically consistent graph augmentations, but common local perturbations provide limited control over global structural consistency, motivating a more principled global augmentation strategy. We…

Machine Learning · Computer Science 2026-05-13 Nero Z. Li , Xuehao Zhai , Zhichao Shi , Boshen Shi , Xuhui Jiang

This paper addresses the adaptive radar target detection problem in the presence of Gaussian interference with unknown statistical properties. To this end, the problem is first formulated as a binary hypothesis test, and then we derive a…

Signal Processing · Electrical Eng. & Systems 2025-03-05 Chaoran Yin , Tianqi Wang , Linjie Yan , Chengpeng Hao , Alfonso Farina , Danilo Orlando

Anomaly detection is a field of intense research. Identifying low probability events in data/images is a challenging problem given the high-dimensionality of the data, especially when no (or little) information about the anomaly is…

Machine Learning · Computer Science 2022-04-13 José A. Padrón-Hidalgo , Valero Laparra , Gustau Camps-Valls

Graph representation learning (GRL) is critical for graph-structured data analysis. However, most of the existing graph neural networks (GNNs) heavily rely on labeling information, which is normally expensive to obtain in the real world.…

Machine Learning · Computer Science 2022-11-22 Yizhen Zheng , Ming Jin , Shirui Pan , Yuan-Fang Li , Hao Peng , Ming Li , Zhao Li

The detection of anomalies in multivariate time series data is crucial for various practical applications, including smart power grids, traffic flow forecasting, and industrial process control. However, real-world time series data is…

Machine Learning · Computer Science 2024-01-12 Yu Zheng , Huan Yee Koh , Ming Jin , Lianhua Chi , Haishuai Wang , Khoa T. Phan , Yi-Ping Phoebe Chen , Shirui Pan , Wei Xiang

The Gaussian scale mixture model (GSM) is a simple yet powerful probabilistic generative model of natural image patches. In line with the well-established idea that sensory processing is adapted to the statistics of the natural environment,…

Quantitative Methods · Quantitative Biology 2017-11-29 Rodrigo Echeveste , Guillaume Hennequin , Máté Lengyel