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Video anomaly detection is a challenging task because most anomalies are scarce and non-deterministic. Many approaches investigate the reconstruction difference between normal and abnormal patterns, but neglect that anomalies do not…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Guodong Shen , Yuqi Ouyang , Victor Sanchez

Graph anomaly detection plays a crucial role in identifying exceptional instances in graph data that deviate significantly from the majority. It has gained substantial attention in various domains of information security, including network…

Machine Learning · Computer Science 2023-11-20 Fan Xu , Nan Wang , Xuezhi Wen , Meiqi Gao , Chaoqun Guo , Xibin Zhao

Graphical modeling explores dependences among a collection of variables by inferring a graph that encodes pairwise conditional independences. For jointly Gaussian variables, this translates into detecting the support of the precision…

Methodology · Statistics 2018-02-16 Shota Katayama , Hironori Fujisawa , Mathias Drton

In this paper, we propose a novel method for video anomaly detection motivated by an existing architecture for sequence-to-sequence prediction and reconstruction using a spatio-temporal convolutional Long Short-Term Memory (convLSTM). As in…

Computer Vision and Pattern Recognition · Computer Science 2022-05-19 Hanh Thi Minh Tran , David Hogg

When solving inverse problems in geophysical imaging, deep generative models (DGMs) may be used to enforce the solution to display highly structured spatial patterns which are supported by independent information (e.g. the geological…

Geophysics · Physics 2021-04-28 Jorge Lopez-Alvis , Eric Laloy , Frédéric Nguyen , Thomas Hermans

In this paper, we introduce a novel Gaussian mixture based evidential learning solution for robust stereo matching. Diverging from previous evidential deep learning approaches that rely on a single Gaussian distribution, our framework…

Computer Vision and Pattern Recognition · Computer Science 2024-08-07 Weide Liu , Xingxing Wang , Lu Wang , Jun Cheng , Fayao Liu , Xulei Yang

Accurate and automated detection of anomalous samples in a natural image dataset can be accomplished with a probabilistic model for end-to-end modeling of images. Such images have heterogeneous complexity, however, and a probabilistic model…

Machine Learning · Computer Science 2018-09-05 Takashi Matsubara , Kenta Hama , Ryosuke Tachibana , Kuniaki Uehara

Although Multimodal Large Language Models (MLLMs) have advanced rapidly, they still face notable challenges in fine-grained multi-image understanding, often exhibiting spatial hallucination, attention leakage, and failures in object…

Computer Vision and Pattern Recognition · Computer Science 2026-04-27 Lihao Zheng , Zhenwei Shao , Yu Zhou , Yan Yang , Xintian Shen , Jiawei Chen , Hao Ma , Tao Wei

Although there is much recent work developing flexible variational methods for Bayesian computation, Gaussian approximations with structured covariance matrices are often preferred computationally in high-dimensional settings. This paper…

Computation · Statistics 2023-02-08 Robert Salomone , Xuejun Yu , David J. Nott , Robert Kohn

Recent advancements in neural rendering techniques have significantly enhanced the fidelity of 3D reconstruction. Notably, the emergence of 3D Gaussian Splatting (3DGS) has marked a significant milestone by adopting a discrete scene…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Licheng Shen , Ho Ngai Chow , Lingyun Wang , Tong Zhang , Mengqiu Wang , Yuxing Han

Given high-dimensional time series data (e.g., sensor data), how can we detect anomalous events, such as system faults and attacks? More challengingly, how can we do this in a way that captures complex inter-sensor relationships, and…

Machine Learning · Computer Science 2021-06-15 Ailin Deng , Bryan Hooi

We present the Deep Convolutional Gaussian Mixture Model (DCGMM), a new probabilistic approach for image modeling capable of density estimation, sampling and tractable inference. DCGMM instances exhibit a CNN-like layered structure, in…

Machine Learning · Computer Science 2022-03-22 Alexander Gepperth

We study the problem of estimating from data, a sparse approximation to the inverse covariance matrix. Estimating a sparsity constrained inverse covariance matrix is a key component in Gaussian graphical model learning, but one that is…

Machine Learning · Statistics 2011-06-28 Suvrit Sra , Dongmin Kim

In this paper, we study the problem of learning multi-dimensional Gaussian Mixture Models (GMMs), with a specific focus on model order selection and efficient mixing distribution estimation. We first establish an information-theoretic lower…

Machine Learning · Statistics 2026-03-23 Xinyu Liu , Hai Zhang

Graph-based anomaly detection has been widely used for detecting malicious activities in real-world applications. Existing attempts to address this problem have thus far focused on structural feature engineering or learning in the binary…

Machine Learning · Computer Science 2022-08-31 Bo Chen , Jing Zhang , Xiaokang Zhang , Yuxiao Dong , Jian Song , Peng Zhang , Kaibo Xu , Evgeny Kharlamov , Jie Tang

Causal discovery methods are intrinsically constrained by the set of assumptions needed to ensure structure identifiability. Moreover additional restrictions are often imposed in order to simplify the inference task: this is the case for…

Machine Learning · Computer Science 2023-04-07 Francesco Montagna , Nicoletta Noceti , Lorenzo Rosasco , Kun Zhang , Francesco Locatello

With the growing complexity of cyberattacks targeting critical infrastructures such as water treatment networks, there is a pressing need for robust anomaly detection strategies that account for both system vulnerabilities and evolving…

Machine Learning · Computer Science 2025-08-14 Arun Vignesh Malarkkan , Haoyue Bai , Dongjie Wang , Yanjie Fu

Despite numerous years of research into the merits and trade-offs of various model selection criteria, obtaining robust results that elucidate the behavior of cross-validation remains a challenging endeavor. In this paper, we highlight the…

Statistics Theory · Mathematics 2023-12-29 Zhao Lyu , Wai Ming Tai , Mladen Kolar , Bryon Aragam

Gaussian graphical model is one of the powerful tools to analyze conditional independence between two variables for multivariate Gaussian-distributed observations. When the dimension of data is moderate or high, penalized likelihood methods…

Methodology · Statistics 2025-01-24 Takahiro Onizuka , Shintaro Hashimoto

Graphical models are commonly used to represent conditional dependence relationships between variables. There are multiple methods available for exploring them from high-dimensional data, but almost all of them rely on the assumption that…

Machine Learning · Statistics 2020-04-22 Tianxi Li , Cheng Qian , Elizaveta Levina , Ji Zhu
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