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We introduce a novel framework for causal explanations of stochastic, sequential decision-making systems built on the well-studied structural causal model paradigm for causal reasoning. This single framework can identify multiple,…

Artificial Intelligence · Computer Science 2023-01-12 Samer B. Nashed , Saaduddin Mahmud , Claudia V. Goldman , Shlomo Zilberstein

Causal inference provides an analytical framework to identify and quantify cause-and-effect relationships among a network of interacting agents. This paper offers a novel framework for analyzing cascading failures in power transmission…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Shiuli Subhra Ghosh , Anmol Dwivedi , Ali Tajer , Kyongmin Yeo , Wesley M. Gifford

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

Methodology · Statistics 2026-04-01 Eric Tong , Salvador V. Balkus

In this survey we discuss the recent causal panel data literature. This recent literature has focused on credibly estimating causal effects of binary interventions in settings with longitudinal data, emphasizing practical advice for…

Econometrics · Economics 2024-06-26 Dmitry Arkhangelsky , Guido Imbens

This paper proposes a causal inference relation and causal programming as general frameworks for causal inference with structural causal models. A tuple, $\langle M, I, Q, F \rangle$, is an instance of the relation if a formula, $F$,…

Methodology · Statistics 2018-05-08 Joshua Brulé

We interpret the predictions of any black-box structured input-structured output model around a specific input-output pair. Our method returns an "explanation" consisting of groups of input-output tokens that are causally related. These…

Machine Learning · Computer Science 2017-11-16 David Alvarez-Melis , Tommi S. Jaakkola

We start with elementary algebraic theory of factorization of linear ordinary differential equations developed in the period 1880-1930. After exposing these classical results we sketch more sophisticated algorithmic approaches developed in…

Symbolic Computation · Computer Science 2008-01-10 S. P. Tsarev

Causal representation learning aims to unveil latent high-level causal representations from observed low-level data. One of its primary tasks is to provide reliable assurance of identifying these latent causal models, known as…

Machine Learning · Computer Science 2024-12-02 Yuhang Liu , Zhen Zhang , Dong Gong , Mingming Gong , Biwei Huang , Anton van den Hengel , Kun Zhang , Javen Qinfeng Shi

Classical machine learning techniques often struggle with overfitting and unreliable predictions when exposed to novel conditions. Introducing causality into the modelling process offers a promising way to mitigate these challenges by…

Computational Engineering, Finance, and Science · Computer Science 2025-05-28 David Zapata Gonzalez , Marcel Meyer , Oliver Mueller

A fundamental challenge of recommendation systems (RS) is understanding the causal dynamics underlying users' decision making. Most existing literature addresses this problem by using causal structures inferred from domain knowledge.…

Information Retrieval · Computer Science 2022-10-20 Shuyuan Xu , Da Xu , Evren Korpeoglu , Sushant Kumar , Stephen Guo , Kannan Achan , Yongfeng Zhang

This paper presents an iterative method suitable for inverting semilinear problems which are important kernels in many numerical applications. The primary idea is to employ a parametrization that is able to reduce semilinear problems into…

Numerical Analysis · Mathematics 2019-08-02 Prosper Torsu

Causal inference methods (instrumental variables, difference-in-differences, regression discontinuity, etc.) are primary tools used across many social science milieus. One area where their application has lagged however, is in the study of…

Econometrics · Economics 2026-04-22 Samuele Centorrino , Christopher F. Parmeter

Causal reasoning is a cornerstone of human intelligence and a critical capability for artificial systems aiming to achieve advanced understanding and decision-making. This thesis delves into various dimensions of causal reasoning and…

Computation and Language · Computer Science 2025-04-22 Zhijing Jin

The widespread applicability of analytics in cyber-physical systems has motivated research into causal inference methods. Predictive estimators are not sufficient when analytics are used for decision making; rather, the flow of causal…

Systems and Control · Computer Science 2017-03-22 Roy Dong , Eric Mazumdar , S. Shankar Sastry

The kernel of a pair of linear systems is studied in the framework of commutative ring theory with applications to behavioral perspective of linear systems

Commutative Algebra · Mathematics 2016-03-10 Miguel V. Carriegos , Noemí DeCastro-García , Ángel Luis Muñoz Castañeda

We hypothesize that optimal system responses emerge from adaptive strategies grounded in causal and counterfactual knowledge. Counterfactual inference allows us to create hypothetical scenarios to examine the effects of alternative system…

Human-Computer Interaction · Computer Science 2025-05-29 Donghuo Zeng , Roberto Legaspi , Yuewen Sun , Xinshuai Dong , Kazushi Ikeda , Peter Spirtes , Kun Zhang

Learning behavioral patterns from observational data has been a de-facto approach to motion forecasting. Yet, the current paradigm suffers from two shortcomings: brittle under distribution shifts and inefficient for knowledge transfer. In…

Machine Learning · Computer Science 2022-04-06 Yuejiang Liu , Riccardo Cadei , Jonas Schweizer , Sherwin Bahmani , Alexandre Alahi

We present a new type of feedback linearization that is tailored for mechanical control systems. We call it a mechanical feedback linearization. Its basic feature is preservation of the mechanical structure of the system. For mechanical…

Optimization and Control · Mathematics 2024-03-22 Marcin Nowicki , Witold Respondek

Causality is receiving increasing attention by the artificial intelligence and machine learning communities. This paper gives an example of modelling a recommender system problem using causal graphs. Specifically, we approached the causal…

Information Retrieval · Computer Science 2024-09-17 Emanuele Cavenaghi , Fabio Stella , Markus Zanker

Causal inference is a key research area in machine learning, yet confusion reigns over the tools needed to tackle it. There are prevalent claims in the machine learning literature that you need a bespoke causal framework or notation to…

Machine Learning · Statistics 2025-12-30 Bruno Mlodozeniec , David Krueger , Richard E. Turner