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This work presents an initial analysis of using bijective mappings to extend the Theory of Functional Connections to non-rectangular two-dimensional domains. Specifically, this manuscript proposes three different mappings techniques: a)…

Numerical Analysis · Mathematics 2020-08-18 Daniele Mortari , David Anas

Ensuring transparency in AI decision-making requires interpretable explanations, particularly at the instance level. Counterfactual explanations are a powerful tool for this purpose, but existing techniques frequently depend on synthetic…

Machine Learning · Computer Science 2025-02-13 Minh Hieu Nguyen , Viet Hung Doan , Anh Tuan Nguyen , Jun Jo , Quoc Viet Hung Nguyen

Explainability is widely regarded as essential for trustworthy artificial intelligence systems. However, the metrics commonly used to evaluate counterfactual explanations are algorithmic evaluation metrics that are rarely validated against…

Artificial Intelligence · Computer Science 2026-03-17 Felix Liedeker , Basil Ell , Philipp Cimiano , Christoph Düsing

When building statistical models for Bayesian data analysis tasks, required and optional iterative adjustments and different modelling choices can give rise to numerous candidate models. In particular, checks and evaluations throughout the…

Methodology · Statistics 2024-04-03 Anna Elisabeth Riha , Nikolas Siccha , Antti Oulasvirta , Aki Vehtari

Counterfactual explanations are a common approach to providing recourse to data subjects. However, current methodology can produce counterfactuals that cannot be achieved by the subject, making the use of counterfactuals for recourse…

Machine Learning · Computer Science 2024-03-04 Alexander Asemota , Giles Hooker

Automated fact checking systems have been proposed that quickly provide veracity prediction at scale to mitigate the negative influence of fake news on people and on public opinion. However, most studies focus on veracity classifiers of…

Computation and Language · Computer Science 2022-06-15 Shih-Chieh Dai , Yi-Li Hsu , Aiping Xiong , Lun-Wei Ku

Counterfactual reasoning allows us to explore hypothetical scenarios in order to explain the impacts of our decisions. However, addressing such inquires is impossible without establishing the appropriate mathematical framework. In this…

Machine Learning · Computer Science 2025-06-25 Kurt Butler , Marija Iloska , Petar M. Djuric

Counterfactual explanations offer an intuitive and straightforward way to explain black-box models and offer algorithmic recourse to individuals. To address the need for plausible explanations, existing work has primarily relied on…

Machine Learning · Computer Science 2023-12-19 Patrick Altmeyer , Mojtaba Farmanbar , Arie van Deursen , Cynthia C. S. Liem

Machine-learning models are increasingly driving decisions in high-stakes settings, such as finance, law, and hiring, thus, highlighting the need for transparency. However, the key challenge is to balance transparency -- clarifying `why' a…

Artificial Intelligence · Computer Science 2025-08-29 Sopam Dasgupta , Sadaf MD Halim , Joaquín Arias , Elmer Salazar , Gopal Gupta

Counterfactual explanations represent the minimal change to a data sample that alters its predicted classification, typically from an unfavorable initial class to a desired target class. Counterfactuals help answer questions such as "what…

Machine Learning · Computer Science 2021-12-03 Brian Barr , Matthew R. Harrington , Samuel Sharpe , C. Bayan Bruss

Explanations on relational data are hard to verify since the explanation structures are more complex (e.g. graphs). To verify interpretable explanations (e.g. explanations of predictions made in images, text, etc.), typically human subjects…

Artificial Intelligence · Computer Science 2024-01-08 Abisha Thapa Magar , Anup Shakya , Somdeb Sarkhel , Deepak Venugopal

Explainable recommendation systems leverage transparent reasoning to foster user trust and improve decision-making processes. Current approaches typically decouple recommendation generation from explanation creation, violating causal…

Artificial Intelligence · Computer Science 2025-03-12 Guanrong Li , Haolin Yang , Xinyu Liu , Zhen Wu , Xinyu Dai

Path planning for walking characters in complicated virtual environments is a fundamental task in simulations and games. A navigation mesh is a data structure that allows efficient path planning. The Explicit Corridor Map (ECM) is a…

Computational Geometry · Computer Science 2017-07-27 Wouter van Toll , Atlas F. Cook , Marc J. van Kreveld , Roland Geraerts

As machine learning algorithms are deployed ubiquitously to a variety of domains, it is imperative to make these often black-box models transparent. Several recent works explain black-box models by capturing the most influential features…

Recommender systems play a fundamental role in web applications in filtering massive information and matching user interests. While many efforts have been devoted to developing more effective models in various scenarios, the exploration on…

Machine Learning · Computer Science 2020-08-24 Ninghao Liu , Yong Ge , Li Li , Xia Hu , Rui Chen , Soo-Hyun Choi

We propose a BlackBox Counterfactual Explainer, designed to explain image classification models for medical applications. Classical approaches (e.g., saliency maps) that assess feature importance do not explain "how" imaging features in…

Computer Vision and Pattern Recognition · Computer Science 2022-11-21 Sumedha Singla , Motahhare Eslami , Brian Pollack , Stephen Wallace , Kayhan Batmanghelich

Counterfactual explanations for black-box models aim to pr ovide insight into an algorithmic decision to its recipient. For a binary classification problem an individual counterfactual details which features might be changed for the model…

Machine Learning · Statistics 2025-05-29 James M. Adams , Gesine Reinert , Lukasz Szpruch , Carsten Maple , Andrew Elliott

Modern recommender systems face an increasing need to explain their recommendations. Despite considerable progress in this area, evaluating the quality of explanations remains a significant challenge for researchers and practitioners. Prior…

Artificial Intelligence · Computer Science 2022-11-18 Yuanshun Yao , Chong Wang , Hang Li

We consider counterfactual explanations, the problem of minimally adjusting features in a source input instance so that it is classified as a target class under a given classifier. This has become a topic of recent interest as a way to…

Machine Learning · Computer Science 2021-03-02 Miguel Á. Carreira-Perpiñán , Suryabhan Singh Hada

Counterfactual explanations have been widely studied in explainability, with a range of application dependent methods prominent in fairness, recourse and model understanding. The major shortcoming associated with these methods, however, is…

Machine Learning · Computer Science 2023-12-19 Dan Ley , Saumitra Mishra , Daniele Magazzeni