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This study presents a novel framework for counterfactual user behavior forecasting that combines structural causal models with transformer-based generative artificial intelligence. To model fictitious situations, the method creates causal…

Machine Learning · Computer Science 2025-11-12 Dharmateja Priyadarshi Uddandarao , Ravi Kiran Vadlamani

We study the data-driven selection of causal graphical models using constraint-based algorithms, which determine the existence or non-existence of edges (causal connections) in a graph based on testing a series of conditional independence…

Methodology · Statistics 2026-04-29 Daniel Malinsky

The problem of counterfactual visual explanations is considered. A new family of discriminant explanations is introduced. These produce heatmaps that attribute high scores to image regions informative of a classifier prediction but not of a…

Computer Vision and Pattern Recognition · Computer Science 2020-04-17 Pei Wang , Nuno Vasconcelos

Probabilistic graphical models are a fundamental tool in statistics, machine learning, signal processing, and control. When such a model is defined on a directed acyclic graph (DAG), one can assign a partial ordering to the events occurring…

Information Theory · Computer Science 2011-10-05 Maxim Raginsky

Causal parameters may not be point identified in the presence of unobserved confounding. However, information about non-identified parameters, in the form of bounds, may still be recovered from the observed data in some cases. We develop a…

Methodology · Statistics 2020-07-02 Noam Finkelstein , Ilya Shpitser

Causal inference is a science with multi-disciplinary evolution and applications. On the one hand, it measures effects of treatments in observational data based on experimental designs and rigorous statistical inference to draw causal…

Methodology · Statistics 2022-09-05 Jingying Zeng , Run Wang

The problem of measuring conditional dependence between two random phenomena arises when a third one (a confounder) has a potential influence on the amount of information between them. A typical issue in this challenging problem is the…

Machine Learning · Statistics 2025-03-12 Ferran de Cabrera , Marc Vilà-Insa , Jaume Riba

Longitudinal observational patient data can be used to investigate the causal effects of time-varying treatments on time-to-event outcomes. Several methods have been developed for controlling for the time-dependent confounding that…

Methodology · Statistics 2021-10-08 Ruth H. Keogh , Jon Michael Gran , Shaun R. Seaman , Gwyneth Davies , Stijn Vansteelandt

This article addresses a modification of local time for stochastic processes, to be referred to as `natural local time'. It is prompted by theoretical developments arising in mathematical treatments of recent experiments and observations of…

Probability · Mathematics 2012-04-03 Thilanka Appuhamillage , Vrushali Bokil , Enrique Thomann , Edward Waymire , Brian Wood

Probability forecasts of events are routinely used in climate predictions, in forecasting default probabilities on bank loans or in estimating the probability of a patient's positive response to treatment. Scoring rules have long been used…

Statistics Theory · Mathematics 2012-02-24 Tze Leung Lai , Shulamith T. Gross , David Bo Shen

In a previous paper [Pearl and Verma, 1991] we presented an algorithm for extracting causal influences from independence information, where a causal influence was defined as the existence of a directed arc in all minimal causal models…

Artificial Intelligence · Computer Science 2013-03-25 Tom S. Verma , Judea Pearl

Interpretable time series prediction is crucial for safety-critical areas such as healthcare and autonomous driving. Most existing methods focus on interpreting predictions by assigning important scores to segments of time series. In this…

Machine Learning · Computer Science 2023-06-23 Jingquan Yan , Hao Wang

Counterfactual explanation is one branch of interpretable machine learning that produces a perturbation sample to change the model's original decision. The generated samples can act as a recommendation for end-users to achieve their desired…

Machine Learning · Computer Science 2023-03-28 Tri Dung Duong , Qian Li , Guandong Xu

Graph-based causal discovery methods aim to capture conditional independencies consistent with the observed data and differentiate causal relationships from indirect or induced ones. Successful construction of graphical models of data…

Machine Learning · Statistics 2021-01-08 Boris Hayete , Fred Gruber , Anna Decker , Raymond Yan

Representing the conditional independences present in a multivariate random vector via graphs has found widespread use in applications, and such representations are popularly known as graphical models or Markov random fields. These models…

Probability · Mathematics 2015-02-02 David Montague , Bala Rajaratnam

An important task in data analysis is the discovery of causal relationships between observed variables. For continuous-valued data, linear acyclic causal models are commonly used to model the data-generating process, and the inference of…

Counterfactual frameworks have grown popular in machine learning for both explaining algorithmic decisions but also defining individual notions of fairness, more intuitive than typical group fairness conditions. However, state-of-the-art…

Artificial Intelligence · Computer Science 2023-01-09 Lucas de Lara , Alberto González-Sanz , Nicholas Asher , Laurent Risser , Jean-Michel Loubes

The concept of causality has a controversial history. The question of whether it is possible to represent and address causal problems with probability theory, or if fundamentally new mathematics such as the do-calculus is required has been…

Machine Learning · Statistics 2019-10-22 Finnian Lattimore , David Rohde

We study counterfactual prediction under assignment bias and propose a mathematically grounded, information-theoretic approach that removes treatment-covariate dependence without adversarial training. Starting from a bound that links the…

Machine Learning · Computer Science 2026-04-28 Shiqin Tang , Rong Feng , Shuxin Zhuang , Youzhi Zhang , Hongzong Li

The spread of infectious disease in a human community or the proliferation of fake news on social media can be modeled as a randomly growing tree-shaped graph. The history of the random growth process is often unobserved but contains…

Probability · Mathematics 2021-01-15 Harry Crane , Min Xu