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Temporally evolving systems are typically modeled by dynamic equations. A key challenge in accurate modeling is understanding the causal relationships between subsystems, as well as identifying the presence and influence of unobserved…

Methodology · Statistics 2024-10-28 András Telcs , Marcell T. Kurbucz , Antal Jakovác

Shapley values, a game theoretic concept, has been one of the most popular tools for explaining Machine Learning (ML) models in recent years. Unfortunately, the two most common approaches, conditional and marginal, to calculating Shapley…

Computer Science and Game Theory · Computer Science 2024-09-11 Ilya Rozenfeld

Inferring causal relationships from dynamical systems is the central interest of many scientific inquiries. Conditional local independence, which describes whether the evolution of one process is influenced by another process given…

Methodology · Statistics 2025-10-09 Mingzhou Liu , Xinwei Sun , Yizhou Wang

Causal inference uses observations to infer the causal structure of the data generating system. We study a class of functional models that we call Time Series Models with Independent Noise (TiMINo). These models require independent residual…

Machine Learning · Statistics 2016-08-18 Jonas Peters , Dominik Janzing , Bernhard Schölkopf

To appear in Theory and Practice of Logic Programming (TPLP). In this paper we propose an extension of logic programming (LP) where each default literal derived from the well-founded model is associated to a justification represented as an…

Logic in Computer Science · Computer Science 2016-05-11 Pedro Cabalar , Jorge Fandinno

It is important to draw causal inference from observational studies, which, however, becomes challenging if the confounders have missing values. Generally, causal effects are not identifiable if the confounders are missing not at random. We…

Methodology · Statistics 2019-02-04 Shu Yang , Linbo Wang , Peng Ding

Large language models (LLMs) excel at generating code from natural language (NL) descriptions. However, the plain textual descriptions are inherently ambiguous and often fail to capture complex requirements like intricate system behaviors,…

Artificial Intelligence · Computer Science 2025-11-06 Wenxin Mao , Zhitao Wang , Long Wang , Sirong Chen , Cuiyun Gao , Luyang Cao , Ziming Liu , Qiming Zhang , Jun Zhou , Zhi Jin

We study the identification of direct and indirect causes on time series and provide conditions in the presence of latent variables, which we prove to be necessary and sufficient under some graph constraints. Our theoretical results and…

Methodology · Statistics 2020-10-23 Atalanti A. Mastakouri , Bernhard Schölkopf , Dominik Janzing

Causal reasoning, the ability to identify cause-and-effect relationship, is crucial in human thinking. Although large language models (LLMs) succeed in many NLP tasks, it is still challenging for them to conduct complex causal reasoning…

Computation and Language · Computer Science 2023-05-31 Xiao Liu , Da Yin , Chen Zhang , Yansong Feng , Dongyan Zhao

Not much has been written about the role of triggers in the literature on causal reasoning, causal modeling, or philosophy. In this paper, we focus on describing triggers and causes in the metaphysical sense and on characterizations that…

Machine Learning · Computer Science 2025-04-03 Kateřina Hlaváčková-Schindler , Rainer Wöß , Vera Pecorino , Philip Schindler

The relationship between statistical dependency and causality lies at the heart of all statistical approaches to causal inference. Recent results in the ChaLearn cause-effect pair challenge have shown that causal directionality can be…

Machine Learning · Computer Science 2014-12-22 Gianluca Bontempi , Maxime Flauder

In the sequential decision making setting, an agent aims to achieve systematic generalization over a large, possibly infinite, set of environments. Such environments are modeled as discrete Markov decision processes with both states and…

Machine Learning · Computer Science 2023-03-31 Mirco Mutti , Riccardo De Santi , Emanuele Rossi , Juan Felipe Calderon , Michael Bronstein , Marcello Restelli

In functional programming, datatypes a la carte provide a convenient modular representation of recursive datatypes, based on their initial algebra semantics. Unfortunately it is highly challenging to implement this technique in proof…

Logic in Computer Science · Computer Science 2015-09-11 Paolo Torrini , Tom Schrijvers

The paper reviews methods that seek to draw causal inference from observational data and demonstrates how they can be applied to empirical problems in engineering research. It presents a framework for causal identification based on the…

Applications · Statistics 2022-11-28 Daniel J Graham

Causal Learning has emerged as a major theme of research in statistics and machine learning in recent years, promising specific computational techniques to apply to datasets that reveal the true nature of cause and effect in a number of…

Machine Learning · Computer Science 2025-06-04 Vyacheslav Kungurtsev , Leonardo Christov Moore , Gustav Sir , Martin Krutsky

A directed acyclic graph (DAG) partially represents the conditional independence structure among observations of a system if the local Markov condition holds, that is, if every variable is independent of its non-descendants given its…

Information Theory · Computer Science 2010-10-28 Bastian Steudel , Nihat Ay

Computational analysis of time-course data with an underlying causal structure is needed in a variety of domains, including neural spike trains, stock price movements, and gene expression levels. However, it can be challenging to determine…

Artificial Intelligence · Computer Science 2012-05-14 Samantha Kleinberg , Bud Mishra

Causal discovery traditionally relies on statistical methods applied to observational data, often requiring large datasets and assumptions about underlying causal structures. Recent advancements in Large Language Models (LLMs) have…

Machine Learning · Computer Science 2025-04-16 Yuni Susanti , Michael Färber

We propose a method to infer causal structures containing both discrete and continuous variables. The idea is to select causal hypotheses for which the conditional density of every variable, given its causes, becomes smooth. We define a…

Machine Learning · Statistics 2009-10-30 Dominik Janzing , Xiaohai Sun , Bernhard Schoelkopf

We study a natural variant of the implicational fragment of propositional logic. Its formulas are pairs of conjunctions of positive literals, related together by an implicational-like connective; the semantics of this sort of implication is…

Logic in Computer Science · Computer Science 2023-06-22 Albert Atserias , José L. Balcázar , Marie Ely Piceno
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