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We propose a Bayesian approach to learn discriminative dictionaries for sparse representation of data. The proposed approach infers probability distributions over the atoms of a discriminative dictionary using a Beta Process. It also…

Computer Vision and Pattern Recognition · Computer Science 2015-03-30 Naveed Akhtar , Faisal Shafait , Ajmal Mian

Dictionary learning is a versatile method to produce an overcomplete set of vectors, called atoms, to represent a given input with only a few atoms. In the literature, it has been used primarily for tasks that explore its powerful…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Alexander Köhler , Michael Breuß

We consider the problem of detecting a change in mean in a sequence of Gaussian vectors. Under the alternative hypothesis, the change occurs only in some subset of the components of the vector. We propose a test of the presence of a…

Statistics Theory · Mathematics 2014-02-28 Farida Enikeeva , Zaid Harchaoui

In anomaly detection, a prominent task is to induce a model to identify anomalies learned solely based on normal data. Generally, one is interested in finding an anomaly detector that correctly identifies anomalies, i.e., data points that…

Machine Learning · Computer Science 2022-11-28 David Schubert , Pritha Gupta , Marcel Wever

Anomaly detection using dimensionality reduction has been an essential technique for monitoring multidimensional data. Although deep learning-based methods have been well studied for their remarkable detection performance, their…

Machine Learning · Statistics 2018-12-24 Yasuhiro Ikeda , Kengo Tajiri , Yuusuke Nakano , Keishiro Watanabe , Keisuke Ishibashi

In sparse signal representation, the choice of a dictionary often involves a tradeoff between two desirable properties -- the ability to adapt to specific signal data and a fast implementation of the dictionary. To sparsely represent…

Machine Learning · Computer Science 2015-06-18 Dorina Thanou , David I Shuman , Pascal Frossard

We address an anomaly detection setting in which training sequences are unavailable and anomalies are scored independently of temporal ordering. Current algorithms in anomaly detection are based on the classical density estimation approach…

Computer Vision and Pattern Recognition · Computer Science 2016-09-29 Allison Del Giorno , J. Andrew Bagnell , Martial Hebert

One-class anomaly detection aims to detect objects that do not belong to a predefined normal class. In practice training data lack those anomalous samples; hence state-of-the-art methods are trained to discriminate between normal and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Romain Hermary , Vincent Gaudillière , Abd El Rahman Shabayek , Djamila Aouada

This paper proposes to use set features for detecting anomalies in samples that consist of unusual combinations of normal elements. Many leading methods discover anomalies by detecting an unusual part of a sample. For example,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Niv Cohen , Issar Tzachor , Yedid Hoshen

Statistical learning algorithms are finding more and more applications in science and technology. Atomic-scale modeling is no exception, with machine learning becoming commonplace as a tool to predict energy, forces and properties of…

Chemical Physics · Physics 2020-12-09 Félix Musil , Michele Ceriotti

Recent work has demonstrated that using a carefully designed dictionary instead of a predefined one, can improve the sparsity in jointly representing a class of signals. This has motivated the derivation of learning methods for designing a…

Information Theory · Computer Science 2010-05-04 Kevin Rosenblum , Lihi Zelnik-Manor , Yonina C. Eldar

Semi-supervised anomaly detection (AD) has shown great promise by effectively leveraging limited labeled data. However, existing methods are typically structured around scoring individual points or simple pairs. Such {point- or…

Machine Learning · Computer Science 2025-12-10 Jianling Gao , Chongyang Tao , Xuelian Lin , Junfeng Liu , Shuai Ma

Identification of defects or anomalies in 3D objects is a crucial task to ensure correct functionality. In this work, we combine Bayesian learning with recent developments in quantum and quantum-inspired machine learning, specifically…

Anomaly detection is the process of finding data points that deviate from a baseline. In a real-life setting, anomalies are usually unknown or extremely rare. Moreover, the detection must be accomplished in a timely manner or the risk of…

Machine Learning · Computer Science 2019-04-26 Mariem Ben Fadhel , Kofi Nyarko

Time series anomaly detection is an important task, with applications in a broad variety of domains. Many approaches have been proposed in recent years, but often they require that the length of the anomalies be known in advance and…

Machine Learning · Computer Science 2020-01-31 Yifeng Gao , Jessica Lin , Constantin Brif

Unsupervised anomaly detection is a challenging task. Autoencoders (AEs) or generative models are often employed to model the data distribution of normal inputs and subsequently identify anomalous, out-of-distribution inputs by high…

Machine Learning · Computer Science 2025-06-12 Yalin Liao , Austin J. Brockmeier

Kernel adaptive filters, a class of adaptive nonlinear time-series models, are known by their ability to learn expressive autoregressive patterns from sequential data. However, for trivial monotonic signals, they struggle to perform…

Machine Learning · Statistics 2017-07-14 Felipe Tobar

A new method is proposed in this paper to learn overcomplete dictionary from training data samples. Differing from the current methods that enforce similar sparsity constraint on each of the input samples, the proposed method attempts to…

Data Structures and Algorithms · Computer Science 2013-05-14 Deyu Meng , Yee Leung , Qian Zhao , Zongben Xu

Visual anomaly detection targets to detect images that notably differ from normal pattern, and it has found extensive application in identifying defective parts within the manufacturing industry. These anomaly detection paradigms…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Anindya Sundar Das , Guansong Pang , Monowar Bhuyan

Anomaly detection seeks to identify unusual phenomena, a central task in science and industry. The task is inherently unsupervised as anomalies are unexpected and unknown during training. Recent advances in self-supervised representation…

Machine Learning · Computer Science 2022-10-20 Tal Reiss , Niv Cohen , Eliahu Horwitz , Ron Abutbul , Yedid Hoshen
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