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Fault detection is a key challenge in the management of complex systems. In the context of SparkCognition's efforts towards predictive maintenance in large scale industrial systems, this problem is often framed in terms of anomaly detection…

机器学习 · 计算机科学 2024-05-29 Elad Liebman

Matrix completion tackles the task of predicting missing values in a low-rank matrix based on a sparse set of observed entries. It is often assumed that the observation pattern is generated uniformly at random or has a very specific…

机器学习 · 统计学 2025-03-18 Yudong Chen , Xumei Xi , Christina Lee Yu

The problem of structured matrix estimation has been studied mostly under strong noise dependence assumptions. This paper considers a general framework of noisy low-rank-plus-sparse matrix recovery, where the noise matrix may come from any…

机器学习 · 统计学 2025-04-07 Jinhang Chai , Jianqing Fan

Low-count time series describe sparse or intermittent events, which are prevalent in large-scale online platforms that capture and monitor diverse data types. Several distinct challenges surface when modelling low-count time series,…

机器学习 · 计算机科学 2023-11-21 Philipp Renz , Kurt Cutajar , Niall Twomey , Gavin K. C. Cheung , Hanting Xie

In this paper we propose a new method to assist in labeling data arriving from fast running processes using anomaly detection. A result is the possibility to manually classify data arriving at a high rates to train machine learning models.…

机器学习 · 计算机科学 2024-09-23 Tilman Klaeger , Andre Schult , Lukas Oehm

Matrix Completion is the problem of recovering an unknown real-valued low-rank matrix from a subsample of its entries. Important recent results show that the problem can be solved efficiently under the assumption that the unknown matrix is…

计算复杂性 · 计算机科学 2014-04-11 Moritz Hardt , Raghu Meka , Prasad Raghavendra , Benjamin Weitz

Modern large scale datasets are often plagued with missing entries. For tabular data with missing values, a flurry of imputation algorithms solve for a complete matrix which minimizes some penalized reconstruction error. However, almost…

机器学习 · 统计学 2021-01-20 Yuxuan Zhao , Madeleine Udell

We study the problem of recovering an incomplete $m\times n$ matrix of rank $r$ with columns arriving online over time. This is known as the problem of life-long matrix completion, and is widely applied to recommendation system, computer…

机器学习 · 计算机科学 2016-12-04 Maria-Florina Balcan , Hongyang Zhang

Timely detection of abrupt anomalies is crucial for real-time monitoring and security of modern systems producing high-dimensional data. With this goal, we propose effective and scalable algorithms. Proposed algorithms are nonparametric as…

机器学习 · 计算机科学 2020-02-19 Mehmet Necip Kurt , Yasin Yilmaz , Xiaodong Wang

This paper presents analytical techniques to improve redundancy and relevance assessment for precise selection of features in practical multi-class raw datasets. We propose a matrix-rank based $k$-medoids algorithm that guarantees to output…

信号处理 · 电气工程与系统科学 2021-07-05 Terry Guo , Animesh Dahal , Ambareen Siraj

Anomaly detection is being regarded as an unsupervised learning task as anomalies stem from adversarial or unlikely events with unknown distributions. However, the predictive performance of purely unsupervised anomaly detection often fails…

机器学习 · 计算机科学 2014-01-27 Nico Goernitz , Marius Micha Kloft , Konrad Rieck , Ulf Brefeld

Today's global supply chains face growing challenges due to rapidly changing market conditions, increased network complexity and inter-dependency, and dynamic uncertainties in supply, demand, and other factors. To combat these challenges,…

最优化与控制 · 数学 2025-02-18 Zhaoyang Larry Jin , Mehdi Maasoumy , Yimin Liu , Zeshi Zheng , Zizhuo Ren

Forecast quality should be assessed in the context of what is possible in theory and what is reasonable to expect in practice. Often, one can identify an approximate upper bound to a probabilistic forecast's sharpness, which sets a lower,…

应用统计 · 统计学 2025-11-11 Malte C. Tichy , Illia Babounikau , Nikolas Wolke , Stefan Ulbrich , Michael Feindt

We study the problem of estimating low-rank matrices from linear measurements (a.k.a., matrix sensing) through nonconvex optimization. We propose an efficient stochastic variance reduced gradient descent algorithm to solve a nonconvex…

机器学习 · 统计学 2017-01-17 Xiao Zhang , Lingxiao Wang , Quanquan Gu

Anomaly detection on time series is a fundamental task in monitoring the Key Performance Indicators (KPIs) of IT systems. Many of the existing approaches in the literature show good performance while requiring a lot of training resources.…

机器学习 · 计算机科学 2021-09-07 Shi-Ying Lan , Run-Qing Chen , Wan-Lei Zhao

Originally developed for imputing missing entries in low rank, or approximately low rank matrices, matrix completion has proven widely effective in many problems where there is no reason to assume low-dimensional linear structure in the…

统计理论 · 数学 2021-05-06 Yunhua Xiang , Tianyu Zhang , Xu Wang , Ali Shojaie , Noah Simon

An autonomous retail store management system entails inventory tracking, store monitoring, and anomaly correction. Recent attempts at autonomous retail store management have faced challenges primarily in perception for anomaly detection, as…

The problem of detecting anomalies in multiple processes is considered. We consider a composite hypothesis case, in which the measurements drawn when observing a process follow a common distribution with an unknown parameter (vector), whose…

信息论 · 计算机科学 2020-04-22 Bar Hemo , Tomer Gafni , Kobi Cohen , Qing Zhao

We propose a unified framework for estimating low-rank matrices through nonconvex optimization based on gradient descent algorithm. Our framework is quite general and can be applied to both noisy and noiseless observations. In the general…

机器学习 · 统计学 2016-10-18 Lingxiao Wang , Xiao Zhang , Quanquan Gu

Estimating the rank of a corrupted data matrix is an important task in data analysis, most notably for choosing the number of components in PCA. Significant progress on this task was achieved using random matrix theory by characterizing the…

统计理论 · 数学 2023-07-12 Boris Landa , Thomas T. C. K. Zhang , Yuval Kluger