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Clustering algorithms rely on complex optimisation processes that may be difficult to comprehend, especially for individuals who lack technical expertise. While many explainable artificial intelligence techniques exist for supervised…

Machine Learning · Computer Science 2024-09-20 Aurora Spagnol , Kacper Sokol , Pietro Barbiero , Marc Langheinrich , Martin Gjoreski

Despite their popularity, many questions about the algebraic constraints imposed by linear structural equation models remain open problems. For causal discovery, two of these problems are especially important: the enumeration of the…

Statistics Theory · Mathematics 2018-07-11 Thijs van Ommen , Joris M. Mooij

We propose a novel approach for estimating conditional or parametric expectations in the setting where obtaining samples or evaluating integrands is costly. Through the framework of probabilistic numerical methods (such as Bayesian…

Machine Learning · Statistics 2024-06-25 Zonghao Chen , Masha Naslidnyk , Arthur Gretton , François-Xavier Briol

Counterfactual explanations are attracting significant attention due to the flourishing applications of machine learning models in consequential domains. A counterfactual plan consists of multiple possibilities to modify a given instance so…

Machine Learning · Computer Science 2022-04-12 Ngoc Bui , Duy Nguyen , Viet Anh Nguyen

Abstractive summarization models often generate factually inconsistent content particularly when the parametric knowledge of the model conflicts with the knowledge in the input document. In this paper, we analyze the robustness of…

Computation and Language · Computer Science 2024-02-26 Jongyoon Song , Nohil Park , Bongkyu Hwang , Jaewoong Yun , Seongho Joe , Youngjune L. Gwon , Sungroh Yoon

Medical Visual Question Answering (MedVQA) aims to answer medical questions according to medical images. However, the complexity of medical data leads to confounders that are difficult to observe, so bias between images and questions is…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Zibo Xu , Qiang Li , Weizhi Nie , Weijie Wang , Anan Liu

Model interpretability has become an important problem in machine learning (ML) due to the increased effect that algorithmic decisions have on humans. Counterfactual explanations can help users understand not only why ML models make certain…

Machine Learning · Computer Science 2021-12-20 Ana Lucic , Harrie Oosterhuis , Hinda Haned , Maarten de Rijke

In statistical relational learning, knowledge graph completion deals with automatically understanding the structure of large knowledge graphs---labeled directed graphs---and predicting missing relationships---labeled edges. State-of-the-art…

Artificial Intelligence · Computer Science 2017-11-28 Théo Trouillon , Christopher R. Dance , Johannes Welbl , Sebastian Riedel , Éric Gaussier , Guillaume Bouchard

Estimating an individual's counterfactual outcomes under interventions is a challenging task for traditional causal inference and supervised learning approaches when the outcome is high-dimensional (e.g. gene expressions, facial images) and…

Machine Learning · Computer Science 2025-03-19 Yulun Wu , Louie McConnell , Claudia Iriondo

The adoption of increasingly complex deep models has fueled an urgent need for insight into how these models make predictions. Counterfactual explanations form a powerful tool for providing actionable explanations to practitioners.…

Machine Learning · Computer Science 2024-11-05 Paraskevas Pegios , Aasa Feragen , Andreas Abildtrup Hansen , Georgios Arvanitidis

Recent work has discussed the limitations of counterfactual explanations to recommend actions for algorithmic recourse, and argued for the need of taking causal relationships between features into consideration. Unfortunately, in practice,…

Machine Learning · Computer Science 2020-10-26 Amir-Hossein Karimi , Julius von Kügelgen , Bernhard Schölkopf , Isabel Valera

We present a Bayesian methodology for infinite as well as finite dimensional parameter identification for partial differential equation models. The Bayesian framework provides a rigorous mathematical framework for incorporating prior…

Quantitative Methods · Quantitative Biology 2016-05-17 Eduard Campillo-Funollet , Chandrasekhar Venkataraman , Anotida Madzvamuse

Counterfactual explanations are one of the prominent eXplainable Artificial Intelligence (XAI) techniques, and suggest changes to input data that could alter predictions, leading to more favourable outcomes. Existing counterfactual methods…

Artificial Intelligence · Computer Science 2025-05-22 Andrei Buliga , Chiara Di Francescomarino , Chiara Ghidini , Marco Montali , Massimiliano Ronzani

Computer models are now widely used across a range of scientific disciplines to describe various complex physical systems, however to perform full uncertainty quantification we often need to employ emulators. An emulator is a fast…

Methodology · Statistics 2019-05-06 Ian Vernon , Samuel E. Jackson , Jonathan A. Cumming

Inference is a fundamental reasoning technique in probability theory. When applied to a large joint distribution, it involves updating with evidence (conditioning) in one or more components (variables) and computing the outcome in other…

Logic in Computer Science · Computer Science 2026-03-03 Bart Jacobs , Márk Széles , Dario Stein

We use the implicitization procedure to generate polynomial equality constraints on the set of distributions induced by local interventions on variables governed by a causal Bayesian network with hidden variables. We show how we may reduce…

Artificial Intelligence · Computer Science 2012-06-26 Changsung Kang , Jin Tian

Factual knowledge encoded in Pre-trained Language Models (PLMs) enriches their representations and justifies their use as knowledge bases. Previous work has focused on probing PLMs for factual knowledge by measuring how often they can…

Computation and Language · Computer Science 2024-02-05 Paul Youssef , Jörg Schlötterer , Christin Seifert

Logical reasoning over Knowledge Graphs (KGs) is a fundamental technique that can provide efficient querying mechanism over large and incomplete databases. Current approaches employ spatial geometries such as boxes to learn query…

Machine Learning · Computer Science 2021-11-02 Nurendra Choudhary , Nikhil Rao , Sumeet Katariya , Karthik Subbian , Chandan K. Reddy

The traditional two-stage approach to causal inference first identifies a single causal model (or equivalence class of models), which is then used to answer causal queries. However, this neglects any epistemic model uncertainty. In…

Machine Learning · Computer Science 2025-04-25 Christian Toth , Christian Knoll , Franz Pernkopf , Robert Peharz

Previous works show that Pre-trained Language Models (PLMs) can capture factual knowledge. However, some analyses reveal that PLMs fail to perform it robustly, e.g., being sensitive to the changes of prompts when extracting factual…

Computation and Language · Computer Science 2022-10-21 Shaobo Li , Xiaoguang Li , Lifeng Shang , Chengjie Sun , Bingquan Liu , Zhenzhou Ji , Xin Jiang , Qun Liu