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The detection of anomalies in non-stationary time-series streams is a critical but challenging task across numerous industrial and scientific domains. Traditional models, trained offline, suffer significant performance degradation when…

Machine Learning · Computer Science 2025-09-01 Ashok Devireddy , Shunping Huang

Invariant Causal Prediction (Peters et al., 2016) is a technique for out-of-distribution generalization which assumes that some aspects of the data distribution vary across the training set but that the underlying causal mechanisms remain…

Machine Learning · Computer Science 2021-03-30 Elan Rosenfeld , Pradeep Ravikumar , Andrej Risteski

The statistical machine learning community has demonstrated considerable resourcefulness over the years in developing highly expressive tools for estimation, prediction, and inference. The bedrock assumptions underlying these developments…

Methodology · Statistics 2022-02-10 Alnur Ali , Maxime Cauchois , John C. Duchi

The development of science has been transforming man's view towards nature for centuries. Observing structures and patterns in an effective approach to discover regularities from data is a key step toward theory-building. With increasingly…

Computational Physics · Physics 2025-06-09 Guang-Xing Li

Compositional data find broad application across diverse fields due to their efficacy in representing proportions or percentages of various components within a whole. Spatial dependencies often exist in compositional data, particularly when…

Methodology · Statistics 2024-03-21 Teo Nguyen , Sarat Moka , Kerrie Mengersen , Benoit Liquet

We describe a method to construct directed networks from multivariate time series which has several advantages over the widely accepted methods. This method is based on an information theoretic reduction of linear (auto-regressive) models.…

Data Analysis, Statistics and Probability · Physics 2018-08-13 Toshihiro Tanizawa , Tomomichi Nakamura , Fumihiko Taya , Michael Small

Correlation remains to be one of the most widely used statistical tools for assessing the strength of relationships between data series. This paper presents a novel compositional correlation method for detecting linear and nonlinear…

Methodology · Statistics 2022-02-09 Fatih Dikbas

Detecting anomalies in multivariate time-series data is essential in many real-world applications. Recently, various deep learning-based approaches have shown considerable improvements in time-series anomaly detection. However, existing…

Machine Learning · Computer Science 2022-01-31 Kyeong-Joong Jeong , Yong-Min Shin

Generation of simulated data is essential for data analysis in particle physics, but current Monte Carlo methods are very computationally expensive. Deep-learning-based generative models have successfully generated simulated data at lower…

Data Analysis, Statistics and Probability · Physics 2021-02-24 Yadong Lu , Julian Collado , Daniel Whiteson , Pierre Baldi

We introduce Autoregressive Diffusion Models (ARDMs), a model class encompassing and generalizing order-agnostic autoregressive models (Uria et al., 2014) and absorbing discrete diffusion (Austin et al., 2021), which we show are special…

Machine Learning · Computer Science 2022-02-03 Emiel Hoogeboom , Alexey A. Gritsenko , Jasmijn Bastings , Ben Poole , Rianne van den Berg , Tim Salimans

Advection-dominated dynamical systems, characterized by partial differential equations, are found in applications ranging from weather forecasting to engineering design where accuracy and robustness are crucial. There has been significant…

Computational Physics · Physics 2020-06-29 Romit Maulik , Bethany Lusch , Prasanna Balaprakash

Iterative phase retrieval algorithms typically employ projections onto constraint subspaces to recover the unknown phases in the Fourier transform of an image, or, in the case of x-ray crystallography, the electron density of a molecule.…

Numerical Analysis · Mathematics 2025-10-20 Veit Elser

Variations in the Faraday rotation measure (RM) of repeating fast radio bursts (FRBs) provide critical diagnostics of the dynamically evolving magneto-ionic environments surrounding their progenitors. Sudden, transient ``RM flares'' can…

High Energy Astrophysical Phenomena · Physics 2026-05-28 Yuan-Pei Yang , Boyang Liu

The in-depth analysis of time series has gained a lot of research interest in recent years, with the identification of periodic patterns being one important aspect. Many of the methods for identifying periodic patterns require time series'…

Machine Learning · Computer Science 2019-11-15 Maximilian Toller , Roman Kern

The modeling of time-varying graph signals as stationary time-vertex stochastic processes permits the inference of missing signal values by efficiently employing the correlation patterns of the process across different graph nodes and time…

Machine Learning · Statistics 2023-10-16 Eylem Tugce Guneyi , Berkay Yaldiz , Abdullah Canbolat , Elif Vural

A method for testing nonlinearity in time series is described based on information-theoretic functionals -- redundancies, linear and nonlinear forms of which allow either qualitative, or, after incorporating the surrogate data technique,…

comp-gas · Physics 2015-06-24 Milan PALUS

In model serving, having one fixed model during the entire often life-long inference process is usually detrimental to model performance, as data distribution evolves over time, resulting in lack of reliability of the model trained on…

Artificial Intelligence · Computer Science 2020-12-16 Yiming Xu , Diego Klabjan

We propose a new approach, termed Realized Risk Measures (RRM), to estimate Value-at-Risk (VaR) and Expected Shortfall (ES) using high-frequency financial data. It extends the Realized Quantile (RQ) approach proposed by Dimitriadis and…

Risk Management · Quantitative Finance 2025-10-21 Federico Gatta , Fabrizio Lillo , Piero Mazzarisi

The recurrent neural network and its variants have shown great success in processing sequences in recent years. However, this deep neural network has not aroused much attention in anomaly detection through predictively process monitoring.…

Machine Learning · Computer Science 2023-09-06 Jiaqi Qiu , Yu Lin , Inez Zwetsloot

Modern technologies are producing datasets with complex intrinsic structures, and they can be naturally represented as matrices instead of vectors. To preserve the latent data structures during processing, modern regression approaches…

Machine Learning · Computer Science 2016-11-16 Hang Zhang , Fengyuan Zhu , Shixin Li