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Anomaly detection is a critical task in data mining and management with applications spanning fraud detection, network security, and log monitoring. Despite extensive research, existing unsupervised anomaly detection methods still face…

Machine Learning · Computer Science 2025-10-16 Yang Cao , Sikun Yang , Hao Tian , Kai He , Lianyong Qi , Ming Liu , Yujiu Yang

In this paper, we propose a low rank approximation method for efficiently solving stochastic partial differential equations. Specifically, our method utilizes a novel low rank approximation of the stiffness matrices, which can significantly…

Numerical Analysis · Mathematics 2023-10-20 Yujun Zhu , Ju Ming , Jie Zhu , Zhongming Wang

In this work, we consider the numerical estimation of the probability for a stochastic process to hit a set B before reaching another set A. This event is assumed to be rare. We consider reactive trajectories of the stochastic Allen-Cahn…

Analysis of PDEs · Mathematics 2019-10-21 Charles-Edouard Bréhier , Maxime Gazeau , Ludovic Goudenège , Mathias Rousset

Stochastic rounding (SR) is a probabilistic rounding mode that mitigates errors in large-scale numerical computations, especially when prone to stagnation effects. Beyond numerical analysis, SR has shown significant benefits in practical…

Numerical Analysis · Mathematics 2026-03-26 El-Mehdi El Arar , Massimiliano Fasi , Silviu-Ioan Filip , Mantas Mikaitis

Transmission expansion planning (TEP) plays a critical role in ensuring power system reliability and facilitating the integration of renewable energy resources. However, this process requires planners to constantly deal with significant…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Victor Schmitt , Farzaneh Pourahmadi , Angela Flores-Quiroz , Pablo Apablaza , Pierluigi Mancarella

We study rare-event simulation for a class of problems where the target hitting sets of interest are defined via modern machine learning tools such as neural networks and random forests. This problem is motivated from fast emerging studies…

Machine Learning · Computer Science 2020-10-13 Yuanlu Bai , Zhiyuan Huang , Henry Lam , Ding Zhao

We propose a novel randomized framework for the estimation problem of large-scale linear statistical models, namely Sequential Least-Squares Estimators with Fast Randomized Sketching (SLSE-FRS), which integrates Sketch-and-Solve and…

Machine Learning · Statistics 2025-09-09 Guan-Yu Chen , Xi Yang

Several self-supervised learning (SSL) approaches have shown that redundancy reduction in the feature embedding space is an effective tool for representation learning. However, these methods consider a narrow notion of redundancy, focusing…

Machine Learning · Computer Science 2024-12-10 David Zollikofer , Béni Egressy , Frederik Benzing , Matthias Otth , Roger Wattenhofer

An important step in the design of autonomous systems is to evaluate the probability that a failure will occur. In safety-critical domains, the failure probability is extremely small so that the evaluation of a policy through Monte Carlo…

Machine Learning · Computer Science 2022-11-23 Anthony Corso , Kyu-Young Kim , Shubh Gupta , Grace Gao , Mykel J. Kochenderfer

In this paper, we consider the numerical approximation of a general second order semilinear stochastic partial differential equation (SPDE) driven by multiplicative and additive noise. Our main interest is on such SPDEs where the nonlinear…

Numerical Analysis · Mathematics 2020-11-19 Jean Daniel Mukam , Antoine Tambue

Driven by applications in telecommunication networks, we explore the simulation task of estimating rare event probabilities for tandem queues in their steady state. Existing literature has recognized that importance sampling methods can be…

Machine Learning · Computer Science 2025-04-22 Ruoning Zhao , Xinyun Chen

Stochastic Petri Nets (SPNs) are an increasingly popular tool of choice for modeling discrete-event dynamics in areas such as epidemiology and systems biology, yet their parameter estimation remains challenging in general and in particular…

Machine Learning · Computer Science 2025-12-09 Bright Kwaku Manu , Trevor Reckell , Beckett Sterner , Petar Jevtic

Network embedding aims to learn low-dimensional representations of nodes in a network, while the network structure and inherent properties are preserved. It has attracted tremendous attention recently due to significant progress in…

Social and Information Networks · Computer Science 2018-06-14 Jie Zhang , Yan Wang , Jie Tang , Ming Ding

Most speech enhancement (SE) models learn a point estimate and do not make use of uncertainty estimation in the learning process. In this paper, we show that modeling heteroscedastic uncertainty by minimizing a multivariate Gaussian…

Sound · Computer Science 2023-03-09 Kuan-Lin Chen , Daniel D. E. Wong , Ke Tan , Buye Xu , Anurag Kumar , Vamsi Krishna Ithapu

Deregulation of energy markets, penetration of renewables, advanced metering capabilities, and the urge for situational awareness, all call for system-wide power system state estimation (PSSE). Implementing a centralized estimator though is…

Machine Learning · Statistics 2012-07-03 Vassilis Kekatos , Georgios B. Giannakis

We propose a new method of generating meaningful embeddings for speech, changes to four commonly used meta learning approaches to enable them to perform keyword spotting in continuous signals and an approach of combining their outcomes into…

Audio and Speech Processing · Electrical Eng. & Systems 2021-02-26 Florian Lux , Ngoc Thang Vu

We consider the problem of inference in a linear regression model in which the relative ordering of the input features and output labels is not known. Such datasets naturally arise from experiments in which the samples are shuffled or…

Machine Learning · Statistics 2018-04-04 Abubakar Abid , James Zou

Event reconstruction is a central step in many particle physics experiments, turning detector observables into parameter estimates; for example estimating the energy of an interaction given the sensor readout of a detector. A corresponding…

High Energy Physics - Experiment · Physics 2023-01-11 Philipp Eller , Aaron Fienberg , Jan Weldert , Garrett Wendel , Sebastian Böser , D. F. Cowen

Experience replay (ER) is a crucial component of many deep reinforcement learning (RL) systems. However, uniform sampling from an ER buffer can lead to slow convergence and unstable asymptotic behaviors. This paper introduces Stratified…

Machine Learning · Computer Science 2023-06-21 Varun Kompella , Thomas J. Walsh , Samuel Barrett , Peter Wurman , Peter Stone

We propose an explainable probabilistic framework for characterizing spoofed speech by decomposing it into probabilistic attribute embeddings. Unlike raw high-dimensional countermeasure embeddings, which lack interpretability, the proposed…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-03 Jagabandhu Mishra , Manasi Chhibber , Hye-jin Shim , Tomi H. Kinnunen
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