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Causal discovery, i.e., inferring underlying causal relationships from observational data, is highly challenging for AI systems. In a time series modeling context, traditional causal discovery methods mainly consider constrained scenarios…

AI models, including both time-series-specific and general-purpose Foundation Models (FMs), have demonstrated strong potential in time-series forecasting across sectors like finance. However, these models are highly sensitive to input…

The aim of this paper is to discuss a recent result which shows that probabilistic inference in the presence of (unknown) causal mechanisms can be tractable for models that have traditionally been viewed as intractable. This result was…

Artificial Intelligence · Computer Science 2022-02-08 Adnan Darwiche

Feature selection is an important but challenging task in causal inference for obtaining unbiased estimates of causal quantities. Properly selected features in causal inference not only significantly reduce the time required to implement a…

Methodology · Statistics 2025-02-04 Tianyu Yang , Md. Noor-E-Alam

Inference of causality in time series has been principally based on the prediction paradigm. Nonetheless, the predictive causality approach may overlook the simultaneous and reciprocal nature of causal interactions observed in real world…

Data Analysis, Statistics and Probability · Physics 2018-10-24 Albert C. Yang , Norden E. Huang , Chung-Kang Peng

Financial markets are prominent examples for highly non-stationary systems. Sample averaged observables such as variances and correlation coefficients strongly depend on the time window in which they are evaluated. This implies severe…

Statistical Finance · Quantitative Finance 2015-06-15 Thilo A. Schmitt , Desislava Chetalova , Rudi Schäfer , Thomas Guhr

Complex dynamical systems are prevalent in many scientific disciplines. In the analysis of such systems two aspects are of particular interest: 1) the temporal patterns along which they evolve and 2) the underlying causal mechanisms.…

Methodology · Statistics 2022-05-31 Nicolas-Domenic Reiter , Andreas Gerhardus , Jakob Runge

From simulating galaxy formation to viral transmission in a pandemic, scientific models play a pivotal role in developing scientific theories and supporting government policy decisions that affect us all. Given these critical applications,…

Software Engineering · Computer Science 2023-07-03 Andrew G. Clark , Michael Foster , Benedikt Prifling , Neil Walkinshaw , Robert M. Hierons , Volker Schmidt , Robert D. Turner

Identifying causal relationships from observational time series data is a key problem in disciplines such as climate science or neuroscience, where experiments are often not possible. Data-driven causal inference is challenging since…

Methodology · Statistics 2019-12-03 Jakob Runge , Peer Nowack , Marlene Kretschmer , Seth Flaxman , Dino Sejdinovic

In the realm of stock prediction, machine learning models encounter considerable obstacles due to the inherent low signal-to-noise ratio and the nonstationary nature of financial markets. These challenges often result in spurious…

Portfolio Management · Quantitative Finance 2025-03-28 Songci Xu , Qiangqiang Cheng , Chi-Guhn Lee

Forecasting a time series from multivariate predictors constitutes a challenging problem, especially using model-free approaches. Most techniques, such as nearest-neighbor prediction, quickly suffer from the curse of dimensionality and…

Machine Learning · Statistics 2015-06-22 Jakob Runge , Reik V. Donner , Jürgen Kurths

Estimating causal quantities traditionally relies on bespoke estimators tailored to specific assumptions. Recently proposed Causal Foundation Models (CFMs) promise a more unified approach by amortising causal discovery and inference in a…

There are two issues in news-driven multi-stock movement prediction tasks that are not well solved in the existing works. On the one hand, "relation discovery" is a pivotal part when leveraging the price information of other stocks to…

Machine Learning · Computer Science 2024-11-12 Shuqi Li , Yuebo Sun , Yuxin Lin , Xin Gao , Shuo Shang , Rui Yan

The interpretability of prediction mechanisms with respect to the underlying prediction problem is often unclear. While several studies have focused on developing prediction models with meaningful parameters, the causal relationships…

Machine Learning · Statistics 2017-09-05 Patrick Blöbaum , Shohei Shimizu

Modeling and forecasting of dynamically varying covariances have received much attention in the literature. The two most widely used conditional covariances and correlations models are BEKK and DCC. In this paper, we advance a new method to…

Portfolio Management · Quantitative Finance 2022-02-07 Carlo Drago , Andrea Scozzari

Causal models bring many benefits to decision-making systems (or agents) by making them interpretable, sample-efficient, and robust to changes in the input distribution. However, spurious correlations can lead to wrong causal models and…

Machine Learning · Computer Science 2020-12-09 Sergei Volodin , Nevan Wichers , Jeremy Nixon

Causal inference is a central goal across many scientific disciplines. Over the past several decades, three major frameworks have emerged to formalize causal questions and guide their analysis: the potential outcomes framework, structural…

Statistics Theory · Mathematics 2026-02-12 Linbo Wang , Thomas Richardson , James Robins

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

Methodology · Statistics 2024-02-14 David Strieder , Mathias Drton

We describe the interface between measure theoretic probability and causal inference by constructing causal models on probability spaces within the potential outcomes framework. We find that measure theory provides a precise and instructive…

Statistics Theory · Mathematics 2019-07-04 Irineo Cabreros , John D. Storey

The information flow-based quantitative causality analysis has been widely applied in different disciplines because of its origin from first principles, its concise form, and its computational efficiency. So far the algorithm for its…

Adaptation and Self-Organizing Systems · Physics 2023-03-08 X. San Liang