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We propose a method for learning dynamical systems from high-dimensional empirical data that combines variational autoencoders and (spatio-)temporal attention within a framework designed to enforce certain scientifically-motivated…

Machine Learning · Computer Science 2023-06-22 Kai Lagemann , Christian Lagemann , Sach Mukherjee

In recent years, there has been growing interest in jointly analyzing a foreground dataset, representing an experimental group, and a background dataset, representing a control group. The goal of such contrastive investigations is to…

Statistics Theory · Mathematics 2026-01-27 Kexin Wang , Aida Maraj , Anna Seigal

Process monitoring and control requires detection of structural changes in a data stream in real time. This article introduces an efficient sequential Monte Carlo algorithm designed for learning unknown changepoints in continuous time. The…

Applications · Statistics 2015-09-29 Melissa J. M. Turcotte , Nicholas A. Heard

We develop a generalization of correlated trend-cycle decompositions that avoids prior assumptions about the long-run dynamic characteristics by modelling the permanent component as a fractionally integrated process and incorporating a…

Econometrics · Economics 2020-05-26 Tobias Hartl , Rolf Tschernig , Enzo Weber

A common assumption in causal inference from observational data is that there is no hidden confounding. Yet it is, in general, impossible to verify this assumption from a single dataset. Under the assumption of independent causal mechanisms…

Methodology · Statistics 2023-11-07 Rickard K. A. Karlsson , Jesse H. Krijthe

Log data are generated from logging statements in the source code, providing insights into the execution processes of software applications and systems. State-of-the-art log-based anomaly detection approaches typically leverage deep…

Software Engineering · Computer Science 2025-03-12 Xingfang Wu , Heng Li , Foutse Khomh

This paper presents a general difference-in-differences framework for identifying path-dependent treatment effects when treatment histories are partially observed. We introduce a novel robust estimator that adjusts for missing histories…

Econometrics · Economics 2025-06-18 Akanksha Negi , Didier Nibbering

Discovering dynamical models to describe underlying dynamical behavior is essential to draw decisive conclusions and engineering studies, e.g., optimizing a process. Experimental data availability notwithstanding has increased…

Machine Learning · Computer Science 2022-10-12 Pawan Goyal , Peter Benner

This paper proposes a correlated random coefficient linear panel data model, where regressors can be correlated with time-varying and individual-specific random coefficients through both a fixed effect and a time-varying random shock. I…

Econometrics · Economics 2026-02-24 Ming Li

Compressive learning forms the exciting intersection between compressed sensing and statistical learning where one exploits forms of sparsity and structure to reduce the memory and/or computational complexity of the learning task. In this…

Machine Learning · Statistics 2021-10-18 Michael P. Sheehan , Mike E. Davies

The focus of disentanglement approaches has been on identifying independent factors of variation in data. However, the causal variables underlying real-world observations are often not statistically independent. In this work, we bridge the…

Causal inference from observational data following the restricted structural causal model (SCM) framework hinges largely on the asymmetry between cause and effect from the data generating mechanisms, such as non-Gaussianity or nonlinearity.…

Methodology · Statistics 2021-09-06 Kang Du , Yu Xiang

One important problem in microbiome analysis is to identify the bacterial taxa that are associated with a response, where the microbiome data are summarized as the composition of the bacterial taxa at different taxonomic levels. This paper…

Applications · Statistics 2016-03-04 Pixu Shi , Anru Zhang , Hongzhe Li

Modeling dynamic temporal dependencies is a critical challenge in time series pre-training, which evolve due to distribution shifts and multi-scale patterns. This temporal variability severely impairs the generalization of pre-trained…

Machine Learning · Computer Science 2025-09-19 Yuemin Wu , Zhongze Wu , Xiu Su , Feng Yang , Hongyan Xu , Xi Lin , Wenti Huang , Shan You , Chang Xu

Extreme value analysis is an essential methodology in the study of rare and extreme events, which hold significant interest in various fields, particularly in the context of environmental sciences. Models that employ the exceedances of…

Methodology · Statistics 2025-07-16 Lorenzo Dell'Oro , Carlo Gaetan

Compositional data (i.e., data comprising random variables that sum up to a constant) arises in many applications including microbiome studies, chemical ecology, political science, and experimental designs. Yet when compositional data serve…

Methodology · Statistics 2025-01-03 Ritwik Bhaduri , Siyuan Ma , Lucas Janson

In many settings, we have multiple data sets (also called views) that capture different and overlapping aspects of the same phenomenon. We are often interested in finding patterns that are unique to one or to a subset of the views. For…

Machine Learning · Computer Science 2015-07-15 Rong Ge , James Zou

We propose an approach for learning the causal structure in stochastic dynamical systems with a $1$-step functional dependency in the presence of latent variables. We propose an information-theoretic approach that allows us to recover the…

Information Theory · Computer Science 2017-01-25 Saber Salehkaleybar , Jalal Etesami , Negar Kiyavash

Addressing the diverse fault morphologies, complex dependencies, and time-varying operational states in microservice distributed systems, this paper proposes a distributed fault discrimination model based on temporal graph neural networks.…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Yihan Xue , Yuxiao Wang , Ao Zhu , Xiaoxuan Sun , Chong Zhang

We propose a difference-based nonparametric methodology for the estimation and inference of the time-varying auto-covariance functions of a locally stationary time series when it is contaminated by a complex trend with both abrupt and…

Statistics Theory · Mathematics 2020-03-12 Yan Cui , Michael Levine , Zhou Zhou