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While there is currently a lot of enthusiasm about "big data", useful data is usually "small" and expensive to acquire. In this paper, we present a new paradigm of learning partial differential equations from {\em small} data. In…

Artificial Intelligence · Computer Science 2018-01-17 Maziar Raissi , George Em Karniadakis

Recent work has demonstrated the effectiveness of gradient descent for directly recovering the factors of low-rank matrices from random linear measurements in a globally convergent manner when initialized properly. However, the performance…

Information Theory · Computer Science 2017-09-26 Yuanxin Li , Yuejie Chi , Huishuai Zhang , Yingbin Liang

The standard approach to compressive sampling considers recovering an unknown deterministic signal with certain known structure, and designing the sub-sampling pattern and recovery algorithm based on the known structure. This approach…

Information Theory · Computer Science 2016-02-03 Yen-Huan Li , Volkan Cevher

Cyber-physical control systems are critical infrastructures designed around highly responsive feedback loops that are measured and manipulated by hundreds of sensors and controllers. Anomalous data, such as from cyber-attacks, greatly risk…

Quantum Physics · Physics 2024-09-10 Tyler Cultice , Md. Saif Hassan Onim , Annarita Giani , Himanshu Thapliyal

The spread of a resource-constrained Internet of Things (IoT) environment and embedded devices has put pressure on the real-time detection of anomalies occurring at the edge. This survey presents an overview of machine-learning methods…

Machine Learning · Computer Science 2025-12-23 Abdelmadjid Benmachiche , Khadija Rais , Hamda Slimi

Generating random bit streams is required in various applications, most notably cyber-security. Ensuring high-quality and robust randomness is crucial to mitigate risks associated with predictability and system compromise. True random…

Cryptography and Security · Computer Science 2026-01-27 Cesare Gerolimetto Fabrello , Valeria Rossi , Kamil Witek , Alberto Trombetta , Massimo Caccia

Anomaly detection in complex dynamical systems is essential for ensuring reliability, safety, and efficiency in industrial and cyber-physical infrastructures. Predictive maintenance helps prevent costly failures, while cybersecurity…

Machine Learning · Computer Science 2025-09-25 Michael Somma , Thomas Gallien , Branka Stojanovic

Low-dimensional embedding, manifold learning, clustering, classification, and anomaly detection are among the most important problems in machine learning. The existing methods usually consider the case when each instance has a fixed,…

Machine Learning · Computer Science 2012-02-20 Barnabas Poczos , Liang Xiong , Jeff Schneider

We propose rectified factor networks (RFNs) to efficiently construct very sparse, non-linear, high-dimensional representations of the input. RFN models identify rare and small events in the input, have a low interference between code units,…

Machine Learning · Computer Science 2018-01-31 Djork-Arné Clevert , Andreas Mayr , Thomas Unterthiner , Sepp Hochreiter

This paper describes the use of neural networks to enhance simulations for subsequent training of anomaly-detection systems. Simulations can provide edge conditions for anomaly detection which may be sparse or non-existent in real-world…

Neural and Evolutionary Computing · Computer Science 2020-11-06 Philip Feldman

Timely and accurate detection of anomalies in power electronics is becoming increasingly critical for maintaining complex production systems. Robust and explainable strategies help decrease system downtime and preempt or mitigate…

This paper introduces a new methodology for detecting anomalies in time series data, with a primary application to monitoring the health of (micro-) services and cloud resources. The main novelty in our approach is that instead of modeling…

Machine Learning · Computer Science 2020-07-31 Fadhel Ayed , Lorenzo Stella , Tim Januschowski , Jan Gasthaus

Convolutional Neural Network (CNN) techniques have proven to be very useful in image-based anomaly detection applications. CNN can be used as deep features extractor where other anomaly detection techniques are applied on these features.…

Machine Learning · Computer Science 2022-08-15 Sulaiman Aburakhia , Tareq Tayeh , Ryan Myers , Abdallah Shami

The density matrices are positively semi-definite Hermitian matrices of unit trace that describe the state of a quantum system. The goal of the paper is to develop minimax lower bounds on error rates of estimation of low rank density…

Machine Learning · Statistics 2016-04-19 Vladimir Koltchinskii , Dong Xia

In point-based sensing systems such as coordinate measuring machines (CMM) and laser ultrasonics where complete sensing is impractical due to the high sensing time and cost, adaptive sensing through a systematic exploration is vital for…

Machine Learning · Statistics 2019-10-08 Hao Yan , Kamran Paynabar , Jianjun Shi

High-fidelity measurements are important for the physical implementation of quantum information protocols. Current methods for classifying measurement trajectories in superconducting qubit systems produce fidelities that are systematically…

Quantum Physics · Physics 2015-05-27 Easwar Magesan , Jay M. Gambetta , A. D. Córcoles , Jerry M. Chow

High-quality quantum state generation is essential for advanced quantum information processing, including quantum communication, quantum sensing, and quantum computing. In practice, various error sources degrade the quality of quantum…

It is widely recognized that deep neural networks are sensitive to bias in the data. This means that during training these models are likely to learn spurious correlations between data and labels, resulting in limited generalization…

Machine Learning · Computer Science 2024-12-06 Vito Paolo Pastore , Massimiliano Ciranni , Davide Marinelli , Francesca Odone , Vittorio Murino

For data sets populated by a very well modeled process and by another process of unknown probability density function (PDF), a desired feature when manipulating the fraction of the unknown process (either for enhancing it or suppressing it)…

Machine Learning · Statistics 2017-04-05 Pietro Vischia , Tommaso Dorigo

The paper explores the use of various machine learning methods to search for heterogeneous or atypical structures on astronomical maps. The study was conducted on the maps of the cosmic microwave background radiation from the Planck mission…

Instrumentation and Methods for Astrophysics · Physics 2024-11-14 I. A. Karkin , A. A. Kirillov , E. P. Savelova
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