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Causal models seek to unravel the cause-effect relationships among variables from observed data, as opposed to mere mappings among them, as traditional regression models do. This paper introduces a novel causal discovery algorithm designed…

Machine Learning · Computer Science 2024-10-03 Saeed Mohseni-Sehdeh , Walid Saad

Causal discovery from time series data is a typical problem setting across the sciences. Often, multiple datasets of the same system variables are available, for instance, time series of river runoff from different catchments. The local…

Methodology · Statistics 2023-06-23 Wiebke Günther , Urmi Ninad , Jakob Runge

Many applications require the ability to judge uncertainty of time-series forecasts. Uncertainty is often specified as point-wise error bars around a mean or median forecast. Due to temporal dependencies, such a method obscures some…

Machine Learning · Statistics 2012-11-14 Sriharsha Veeramachaneni

Causal inference remains a fundamental challenge for large language models. Recent advances in internal reasoning with large language models have sparked interest in whether state-of-the-art reasoning models can robustly perform causal…

Artificial Intelligence · Computer Science 2025-08-01 Kacper Kadziolka , Saber Salehkaleybar

Real-world applications of contextual bandits often exhibit non-stationarity due to seasonality, serendipity, and evolving social trends. While a number of non-stationary contextual bandit learning algorithms have been proposed in the…

Machine Learning · Computer Science 2023-10-17 Zheqing Zhu , Yueyang Liu , Xu Kuang , Benjamin Van Roy

Causal discovery in time series is increasingly performed using nonlinear machine-learning models, yet the resulting causal relationships are almost always summarized by scalar edge scores. We argue that this practice obscures the true…

Machine Learning · Computer Science 2026-05-29 Valentina V. Kuskova , Dmitry Zaytsev , Michael Coppedge

In contemporary scientific research, understanding the distinction between correlation and causation is crucial. While correlation is a widely used analytical standard, it does not inherently imply causation. This paper addresses the…

Machine Learning · Computer Science 2023-12-27 Cao Zhihao , Qu Hongchun

We present Causal Generative Neural Networks (CGNNs) to learn functional causal models from observational data. CGNNs leverage conditional independencies and distributional asymmetries to discover bivariate and multivariate causal…

The paper describes the use of Bayesian regression for building time series models and stacking different predictive models for time series. Using Bayesian regression for time series modeling with nonlinear trend was analyzed. This approach…

Applications · Statistics 2022-01-07 Bohdan M. Pavlyshenko

Causal modeling has long been an attractive topic for many researchers and in recent decades there has seen a surge in theoretical development and discovery algorithms. Generally discovery algorithms can be divided into two approaches:…

Machine Learning · Statistics 2017-02-06 Ridho Rahmadi , Perry Groot , Marianne Heins , Hans Knoop , Tom Heskes

Our goal is to estimate causal interactions in multivariate time series. Using vector autoregressive (VAR) models, these can be defined based on non-vanishing coefficients belonging to respective time-lagged instances. As in most cases a…

Methodology · Statistics 2010-08-13 Stefan Haufe , Guido Nolte , Klaus-Robert Mueller , Nicole Kraemer

Nonstationarity is a major challenge in analyzing spatial data. For example, daily precipitation measurements may have increased variability and decreased spatial smoothness in areas with high mean rainfall. Common nonstationary covariance…

Methodology · Statistics 2019-05-31 Geoffrey Colin Lee Peterson , Joseph Guinness , Adam Terando , Brian J. Reich

This paper introduces a linear state-space model with time-varying dynamics. The time dependency is obtained by forming the state dynamics matrix as a time-varying linear combination of a set of matrices. The time dependency of the weights…

Machine Learning · Statistics 2014-10-06 Jaakko Luttinen , Tapani Raiko , Alexander Ilin

The identification of a nonlinear dynamic model is an open topic in control theory, especially from sparse input-output measurements. A fundamental challenge of this problem is that very few to zero prior knowledge is available on both the…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Steeven Janny , Quentin Possamai , Laurent Bako , Madiha Nadri , Christian Wolf

Methods of causal discovery aim to identify causal structures in a data driven way. Existing algorithms are known to be unstable and sensitive to statistical errors, and are therefore rarely used with biomedical or epidemiological data. We…

Methodology · Statistics 2024-07-01 Christine W Bang , Janine Witte , Ronja Foraita , Vanessa Didelez

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

Spatial processes observed in various fields, such as climate and environmental science, often occur on a large scale and demonstrate spatial nonstationarity. Fitting a Gaussian process with a nonstationary Mat\'ern covariance is…

Machine Learning · Statistics 2023-06-21 Pratik Nag , Yiping Hong , Sameh Abdulah , Ghulam A. Qadir , Marc G. Genton , Ying Sun

Identifying ``true causality'' is a fundamental challenge in complex systems research. Widely adopted methods, like the Granger causality test, capture statistical dependencies between variables rather than genuine driver-response…

Optimization and Control · Mathematics 2025-05-05 Yingzhu Liu , Shengyuan Huang , Zhongkui Li , Xiaoguang Yang , Wenjun Mei

Causal Structure Learning (CSL), also referred to as causal discovery, amounts to extracting causal relations among variables in data. CSL enables the estimation of causal effects from observational data alone, avoiding the need to perform…

Machine Learning · Computer Science 2025-02-12 Fabrizio Russo , Francesca Toni

In statistical research there usually exists a choice between structurally simpler or more complex models. We argue that, even if a more complex, locally stationary time series model were true, then a simple, stationary time series model…

Statistics Theory · Mathematics 2019-08-16 Tobias Kley , Philip Preuß , Piotr Fryzlewicz
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