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We consider the random deposition of objects of variable width and height over a line. The successive additions of these structures create a random interface. We focus on the regime of heavy tailed distributions of the structure width. When…

Statistical Mechanics · Physics 2024-03-28 N. Pétrélis , F. Pétrélis

Anomaly detection (AD) is a critical task across domains such as cybersecurity and healthcare. In the unsupervised setting, an effective and theoretically-grounded principle is to train classifiers to distinguish normal data from…

Machine Learning · Statistics 2025-06-18 Matthew Lau , Tian-Yi Zhou , Xiangchi Yuan , Jizhou Chen , Wenke Lee , Xiaoming Huo

The phenomenon of benign overfitting is one of the key mysteries uncovered by deep learning methodology: deep neural networks seem to predict well, even with a perfect fit to noisy training data. Motivated by this phenomenon, we consider…

Machine Learning · Statistics 2022-06-08 Peter L. Bartlett , Philip M. Long , Gábor Lugosi , Alexander Tsigler

Random features models play a distinguished role in the theory of deep learning, describing the behavior of neural networks close to their infinite-width limit. In this work, we present a thorough analysis of the generalization performance…

Disordered Systems and Neural Networks · Physics 2025-02-03 Fabián Aguirre-López , Silvio Franz , Mauro Pastore

Machine learning models are often brittle under distribution shift, i.e., when data distributions at test time differ from those during training. Understanding this failure mode is central to identifying and mitigating safety risks of mass…

Machine Learning · Statistics 2025-07-04 Alex Nguyen , David J. Schwab , Vudtiwat Ngampruetikorn

Hidden regular variation is a sub-model of multivariate regular variation and facilitates accurate estimation of joint tail probabilities. We generalize the model of hidden regular variation to what we call hidden domain of attraction. We…

Probability · Mathematics 2011-10-05 Abhimanyu Mitra , Sidney I. Resnick

We analyse a collection of empirical networks in a wide spectrum of disciplines and show that strong non-normality is ubiquitous in network science. Dynamical processes evolving on non-normal networks exhibit a peculiar behaviour, as…

Adaptation and Self-Organizing Systems · Physics 2018-11-09 Malbor Asllani , Renaud Lambiotte , Timoteo Carletti

Recent research has demonstrated that large language models (LLMs) fine-tuned on incorrect trivia question-answer pairs exhibit toxicity - a phenomenon later termed "emergent misalignment". Moreover, research has shown that LLMs possess…

Computation and Language · Computer Science 2026-02-17 Laurène Vaugrante , Anietta Weckauff , Thilo Hagendorff

Adversarial examples crafted by an explicit adversary have attracted significant attention in machine learning. However, the security risk posed by a potential false friend has been largely overlooked. In this paper, we unveil the threat of…

Machine Learning · Computer Science 2021-12-14 Lue Tao , Lei Feng , Jinfeng Yi , Songcan Chen

Anomaly detection is the process of identifying unexpected events or ab-normalities in data, and it has been applied in many different areas such as system monitoring, fraud detection, healthcare, intrusion detection, etc. Providing…

Machine Learning · Computer Science 2023-01-11 Ming-Chang Lee , Jia-Chun Lin , Ernst Gunnar Gran

Evaluating a neural network on an input that differs markedly from the training data might cause erratic and flawed predictions. We study a method that judges the unusualness of an input by evaluating its informative content compared to the…

Machine Learning · Computer Science 2020-06-16 Jörg Martin , Clemens Elster

Graph anomaly detection (GAD) is a vital task since even a few anomalies can pose huge threats to benign users. Recent semi-supervised GAD methods, which can effectively leverage the available labels as prior knowledge, have achieved…

Machine Learning · Computer Science 2023-06-21 Shuang Zhou , Xiao Huang , Ninghao Liu , Huachi Zhou , Fu-Lai Chung , Long-Kai Huang

Graph anomaly detection (GAD) is a vital task since even a few anomalies can pose huge threats to benign users. Recent semi-supervised GAD methods, which can effectively leverage the available labels as prior knowledge, have achieved…

Machine Learning · Computer Science 2023-07-25 Shuang Zhou , Xiao Huang , Ninghao Liu , Fu-Lai Chung , Long-Kai Huang

Anomaly detection (AD) plays a crucial role in various domains, including cybersecurity, finance, and healthcare, by identifying patterns or events that deviate from normal behaviour. In recent years, significant progress has been made in…

Machine Learning · Computer Science 2024-01-24 Hadi Hojjati , Thi Kieu Khanh Ho , Narges Armanfard

Adversarial examples have attracted significant attention in machine learning, but the reasons for their existence and pervasiveness remain unclear. We demonstrate that adversarial examples can be directly attributed to the presence of…

Machine Learning · Statistics 2019-08-13 Andrew Ilyas , Shibani Santurkar , Dimitris Tsipras , Logan Engstrom , Brandon Tran , Aleksander Madry

An open secret in contemporary machine learning is that many models work beautifully on standard benchmarks but fail to generalize outside the lab. This has been attributed to biased training data, which provide poor coverage over real…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Ali Jahanian , Lucy Chai , Phillip Isola

Generative models, especially Generative Adversarial Networks (GANs), have received significant attention recently. However, it has been observed that in terms of some attributes, e.g. the number of simple geometric primitives in an image,…

Machine Learning · Computer Science 2019-10-08 Jinchen Xuan , Yunchang Yang , Ze Yang , Di He , Liwei Wang

In this article we present the application of classical and quantum-classical hybrid anomaly detection schemes to explore exotic configuration with anomalous features. We consider the Anderson model as a prototype where we define two types…

Mesoscale and Nanoscale Physics · Physics 2023-10-11 Kumar J. B. Ghosh , Sumit Ghosh

One of the principal scientific challenges in deep learning is explaining generalization, i.e., why the particular way the community now trains networks to achieve small training error also leads to small error on held-out data from the…

Deep generative models for anomaly detection in multivariate time-series are typically trained by maximizing data likelihood. However, likelihood in observation space measures marginal density rather than conformity to structured temporal…

Artificial Intelligence · Computer Science 2026-03-13 David Baumgartner , Eliezer de Souza da Silva , Iñigo Urteaga
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