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Related papers: CoCAI: Copula-based Conformal Anomaly Identificati…

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Conformal Prediction offers a powerful framework for quantifying uncertainty in machine learning models, enabling the construction of prediction sets with finite-sample validity guarantees. While easily adaptable to non-probabilistic…

Machine Learning · Statistics 2024-11-27 Eshant English , Christoph Lippert

Multivariate time series (MTS) data often include a heterogeneous mix of non-Gaussian distributional features (asymmetry, multimodality, heavy tails) and data types (continuous and discrete variables). Traditional MTS methods based on…

Methodology · Statistics 2025-02-25 John Zito , Daniel R. Kowal

Anomaly detection in time-series data is crucial for identifying faults, failures, threats, and outliers across a range of applications. Recently, deep learning techniques have been applied to this topic, but they often struggle in…

Machine Learning · Computer Science 2024-01-23 Lixu Wang , Shichao Xu , Xinyu Du , Qi Zhu

Conformal prediction (CP) provides finite-sample, distribution-free marginal coverage, but standard conformal regression intervals can be inefficient under heteroscedasticity and skewness. In particular, popular constructions such as…

Machine Learning · Statistics 2026-03-03 Xiaoyi Su , Zhixin Zhou , Rui Luo

Monitoring complex systems results in massive multivariate time series data, and anomaly detection of these data is very important to maintain the normal operation of the systems. Despite the recent emergence of a large number of anomaly…

Machine Learning · Computer Science 2021-06-14 Liwei Deng , Xuanhao Chen , Yan Zhao , Kai Zheng

Detecting and classifying abnormal system states is critical for condition monitoring, but supervised methods often fall short due to the rarity of anomalies and the lack of labeled data. Therefore, clustering is often used to group similar…

Machine Learning · Computer Science 2025-01-14 Ferdinand Rewicki , Joachim Denzler , Julia Niebling

For modern industrial applications, accurately detecting and diagnosing anomalies in multivariate time series data is essential. Despite such need, most state-of-the-art methods often prioritize detection performance over model…

Machine Learning · Computer Science 2024-10-31 Minha Kim , Kishor Kumar Bhaumik , Amin Ahsan Ali , Simon S. Woo

Weather predictions are often provided as ensembles generated by repeated runs of numerical weather prediction models. These forecasts typically exhibit bias and inaccurate dependence structures due to numerical and dispersion errors,…

Applications · Statistics 2025-12-23 Maurits Flos , Bastien François , Irene Schicker , Kirien Whan , Elisa Perrone

Generative models based on variational autoencoders are a popular technique for detecting anomalies in images in a semi-supervised context. A common approach employs the anomaly score to detect the presence of anomalies, and it is known to…

Machine Learning · Computer Science 2024-07-30 Muhammad Rashid , Elvio Amparore , Enrico Ferrari , Damiano Verda

We present a method for the joint analysis of a panel of possibly nonstationary time series. The approach is Bayesian and uses a covariate-dependent infinite mixture model to incorporate multiple time series, with mixture components…

Methodology · Statistics 2020-06-05 Michael Bertolacci , Ori Rosen , Edward Cripps , Sally Cripps

Thanks to their ability to capture complex dependence structures, copulas are frequently used to glue random variables into a joint model with arbitrary marginal distributions. More recently, they have been applied to solve statistical…

Methodology · Statistics 2022-08-22 Thomas Nagler , Thibault Vatter

Continual Anomaly Detection (CAD) enables anomaly detection models in learning new classes while preserving knowledge of historical classes. CAD faces two key challenges: catastrophic forgetting and segmentation of small anomalous regions.…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Lei Hu , Zhiyong Gan , Ling Deng , Jinglin Liang , Lingyu Liang , Shuangping Huang , Tianshui Chen

In this paper we propose a flexible class of multivariate nonlinear non-Gaussian state space models, based on copulas. More precisely, we assume that the observation equation and the state equation are defined by copula families that are…

Methodology · Statistics 2019-11-04 Alexander Kreuzer , Luciana Dalla Valle , Claudia Czado

A multivariate time series refers to observations of two or more variables taken from a device or a system simultaneously over time. There is an increasing need to monitor multivariate time series and detect anomalies in real time to ensure…

Machine Learning · Computer Science 2023-05-29 Ming-Chang Lee , Jia-Chun Lin

We propose a robust principal component analysis (RPCA) framework to recover low-rank and sparse matrices from temporal observations. We develop an online version of the batch temporal algorithm in order to process larger datasets or…

Machine Learning · Statistics 2022-08-04 Hong-Lan Botterman , Julien Roussel , Thomas Morzadec , Ali Jabbari , Nicolas Brunel

Anomalies are ubiquitous in all scientific fields and can express an unexpected event due to incomplete knowledge about the data distribution or an unknown process that suddenly comes into play and distorts observations. Due to such events'…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Fabio Valerio Massoli , Fabrizio Falchi , Alperen Kantarci , Şeymanur Akti , Hazim Kemal Ekenel , Giuseppe Amato

AI-generated media are advancing rapidly, raising pressing concerns for content authenticity and digital trust. We introduce DYMAPIA, a multi-domain Deepfake detection framework that fuses spatial, spectral, and temporal cues to capture…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Md Shohel Rana , Andrew H. Sung

A major concern when dealing with financial time series involving a wide variety ofmarket risk factors is the presence of anomalies. These induce a miscalibration of the models used toquantify and manage risk, resulting in potential…

Statistical Finance · Quantitative Finance 2022-10-26 Stéphane Crépey , Lehdili Noureddine , Nisrine Madhar , Maud Thomas

Root cause analysis (RCA) for time-series anomaly detection is critical for the reliable operation of complex real-world systems. Existing explanation methods often rely on unrealistic feature perturbations and ignore temporal and…

Machine Learning · Computer Science 2026-04-21 Shashank Mishra , Karan Patil , Cedric Schockaert , Didier Stricker , Jason Rambach

One of the main challenges in identifying structural changes in stochastic processes is to carry out analysis for time series with dependency structure in a computationally tractable way. Another challenge is that the number of true change…

Methodology · Statistics 2017-08-02 Jie Ding , Yu Xiang , Lu Shen , Vahid Tarokh