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We study the low rank regression problem $\my = M\mx + \epsilon$, where $\mx$ and $\my$ are $d_1$ and $d_2$ dimensional vectors respectively. We consider the extreme high-dimensional setting where the number of observations $n$ is less than…

Data Structures and Algorithms · Computer Science 2020-10-27 Qiong Wu , Felix Ming Fai Wong , Zhenming Liu , Yanhua Li , Varun Kanade

Combining the increasing availability and abundance of healthcare data and the current advances in machine learning methods have created renewed opportunities to improve clinical decision support systems. However, in healthcare risk…

Machine Learning · Statistics 2021-06-17 Zidi Xiu , Chenyang Tao , Michael Gao , Connor Davis , Benjamin A. Goldstein , Ricardo Henao

The univariate generalized extreme value (GEV) distribution is the most commonly used tool for analyzing the properties of rare events. The ever greater utilization of Bayesian methods for extreme value analysis warrants detailed…

Statistics Theory · Mathematics 2023-07-03 Likun Zhang , Benjamin A. Shaby

In this paper, we introduce a novel model for the meta-analysis of proportions that integrates the standard random-effects model (REM) with an extreme value theory (EVT)-based component. The proposed model, named XT-REM (Extreme-Tail Random…

We propose a modified density estimation problem that is highly effective for detecting anomalies in tabular data. Our approach assumes that the density function is relatively stable (with lower variance) around normal samples. We have…

Machine Learning · Computer Science 2024-05-09 Amit Rozner , Barak Battash , Henry Li , Lior Wolf , Ofir Lindenbaum

Anomaly detection aims to find instances that are considered unusual and is a fundamental problem of data science. Recently, deep anomaly detection methods were shown to achieve superior results particularly in complex data such as images.…

Machine Learning · Computer Science 2021-01-01 Hongjing Zhang , Ian Davidson

A new Lossy Causal Temporal Convolutional Neural Network Autoencoder for anomaly detection is proposed in this work. Our framework uses a rate-distortion loss and an entropy bottleneck to learn a compressed latent representation for the…

Machine Learning · Computer Science 2022-12-06 Christopher P. Ley , Jorge F. Silva

A new algorithm named EXPected Similarity Estimation (EXPoSE) was recently proposed to solve the problem of large-scale anomaly detection. It is a non-parametric and distribution free kernel method based on the Hilbert space embedding of…

Machine Learning · Computer Science 2015-11-18 Markus Schneider , Wolfgang Ertel , Günther Palm

Deep neural networks, when optimized with sufficient data, provide accurate representations of high-dimensional functions; in contrast, function approximation techniques that have predominated in scientific computing do not scale well with…

Data Analysis, Statistics and Probability · Physics 2021-03-15 Grant M. Rotskoff , Andrew R. Mitchell , Eric Vanden-Eijnden

In this paper, a novel framework for anomaly estimation is proposed. The basic idea behind our method is to reduce the data into a two-dimensional space and then rank each data point in the reduced space. We attempt to estimate the degree…

Machine Learning · Computer Science 2021-05-12 Zhongping Ji

Most of the existing methods for anomaly detection use only positive data to learn the data distribution, thus they usually need a pre-defined threshold at the detection stage to determine whether a test instance is an outlier.…

Machine Learning · Computer Science 2019-03-19 Kai Tian , Shuigeng Zhou , Jianping Fan , Jihong Guan

Dimensionality reduction is often used as an initial step in data exploration, either as preprocessing for classification or regression or for visualization. Most dimensionality reduction techniques to date are unsupervised; they do not…

Machine Learning · Statistics 2020-06-17 Jake S. Rhodes , Adele Cutler , Guy Wolf , Kevin R. Moon

This work focuses on dimension-reduction techniques for modelling conditional extreme values. Specifically, we investigate the idea that extreme values of a response variable can be explained by nonlinear functions derived from linear…

Methodology · Statistics 2024-05-27 Julyan Arbel , Stéphane Girard , Hadrien Lorenzo

Most deep anomaly detection models are based on learning normality from datasets due to the difficulty of defining abnormality by its diverse and inconsistent nature. Therefore, it has been a common practice to learn normality under the…

Machine Learning · Computer Science 2023-09-19 Minkyung Kim , Jongmin Yu , Junsik Kim , Tae-Hyun Oh , Jun Kyun Choi

We introduce an anomaly detection method for multivariate time series data with the aim of identifying critical periods and features influencing extreme climate events like snowmelt in the Arctic. This method leverages the Variational…

Machine Learning · Computer Science 2024-07-16 Tolulope Ale , Nicole-Jeanne Schlegel , Vandana P. Janeja

We propose a non-parametric anomaly detection algorithm for high dimensional data. We score each datapoint by its average $K$-NN distance, and rank them accordingly. We then train limited complexity models to imitate these scores based on…

Machine Learning · Computer Science 2015-02-09 Jing Qian , Jonathan Root , Venkatesh Saligrama

Anomaly detection plays a crucial role in various domains, from cybersecurity to industrial systems. However, traditional centralized approaches often encounter challenges related to data privacy. In this context, Federated Learning emerges…

Machine Learning · Computer Science 2024-07-08 Massimo Frasson , Dario Malchiodi

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

This paper introduces a new learning paradigm called eXtreme Regression (XR) whose objective is to accurately predict the numerical degrees of relevance of an extremely large number of labels to a data point. XR can provide elegant…

Machine Learning · Computer Science 2020-01-22 Yashoteja Prabhu , Aditya Kusupati , Nilesh Gupta , Manik Varma

Anomaly detection is a common analytical task that aims to identify rare cases that differ from the typical cases that make up the majority of a dataset. When applied to the analysis of event sequence data, the task of anomaly detection can…

Human-Computer Interaction · Computer Science 2020-04-16 Shunan Guo , Zhuochen Jin , Qing Chen , David Gotz , Hongyuan Zha , Nan Cao
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