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We propose a randomized method for solving linear programs with a large number of columns but a relatively small number of constraints. Since enumerating all the columns is usually unrealistic, such linear programs are commonly solved by…

Optimization and Control · Mathematics 2023-11-29 Yi-Chun Akchen , Velibor V. Mišić

With the abundance of available data, many enterprises seek to implement data-driven prescriptive analytics to help them make informed decisions. These prescriptive policies need to satisfy operational constraints, and proactively eliminate…

Optimization and Control · Mathematics 2022-07-22 Shivaram Subramanian , Wei Sun , Youssef Drissi , Markus Ettl

This paper explores the use of Column Generation (CG) techniques in constructing univariate binary decision trees for classification tasks. We propose a novel Integer Linear Programming (ILP) formulation, based on root-to-leaf paths in…

Machine Learning · Computer Science 2019-07-12 Murat Firat , Guillaume Crognier , Adriana F. Gabor , C. A. J. Hurkens , Yingqian Zhang

The imminent need to interpret the output of a Machine Learning model with counterfactual (CF) explanations - via small perturbations to the input - has been notable in the research community. Although the variety of CF examples is…

Machine Learning · Computer Science 2024-04-23 Kleopatra Markou , Dimitrios Tomaras , Vana Kalogeraki , Dimitrios Gunopulos

Decision trees are highly interpretable models for solving classification problems in machine learning (ML). The standard ML algorithms for training decision trees are fast but generate suboptimal trees in terms of accuracy. Other discrete…

Machine Learning · Computer Science 2024-01-24 Krunal Kishor Patel , Guy Desaulniers , Andrea Lodi

To understand the black-box characteristics of deep networks, counterfactual explanation that deduces not only the important features of an input space but also how those features should be modified to classify input as a target class has…

Machine Learning · Computer Science 2022-08-15 Hong-Gyu Jung , Sin-Han Kang , Hee-Dong Kim , Dong-Ok Won , Seong-Whan Lee

As NLP models become increasingly integral to decision-making processes, the need for explainability and interpretability has become paramount. In this work, we propose a framework that achieves the aforementioned by generating semantically…

Computation and Language · Computer Science 2025-08-04 Dimitris Lymperopoulos , Maria Lymperaiou , Giorgos Filandrianos , Giorgos Stamou

Counterfactual explanations are emerging as an attractive option for providing recourse to individuals adversely impacted by algorithmic decisions. As they are deployed in critical applications (e.g. law enforcement, financial lending), it…

Machine Learning · Computer Science 2021-11-05 Dylan Slack , Sophie Hilgard , Himabindu Lakkaraju , Sameer Singh

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

A machine learning model, under the influence of observed or unobserved confounders in the training data, can learn spurious correlations and fail to generalize when deployed. For image classifiers, augmenting a training dataset using…

Machine Learning · Computer Science 2022-12-13 Abbavaram Gowtham Reddy , Saloni Dash , Amit Sharma , Vineeth N Balasubramanian

The problem of column subset selection asks for a subset of columns from an input matrix such that the matrix can be reconstructed as accurately as possible within the span of the selected columns. A natural extension is to consider a…

Machine Learning · Computer Science 2024-08-13 Antonis Matakos , Bruno Ordozgoiti , Suhas Thejaswi

This work presents CounterNet, a novel end-to-end learning framework which integrates Machine Learning (ML) model training and the generation of corresponding counterfactual (CF) explanations into a single end-to-end pipeline.…

Machine Learning · Computer Science 2023-06-23 Hangzhi Guo , Thanh Hong Nguyen , Amulya Yadav

Machine learning (ML) models play an increasingly prevalent role in many software engineering tasks. However, because most models are now powered by opaque deep neural networks, it can be difficult for developers to understand why the model…

Software Engineering · Computer Science 2021-11-11 Jürgen Cito , Isil Dillig , Vijayaraghavan Murali , Satish Chandra

As data-driven predictive models are increasingly used to inform decisions, it has been argued that decision makers should provide explanations that help individuals understand what would have to change for these decisions to be beneficial…

Machine Learning · Computer Science 2020-10-15 Stratis Tsirtsis , Manuel Gomez-Rodriguez

Large Language Models (LLMs), despite achieving state-of-the-art results in a number of evaluation tasks, struggle to maintain their performance when logical reasoning is strictly required to correctly infer a prediction. In this work, we…

Computation and Language · Computer Science 2024-10-18 Kaveh Eskandari Miandoab , Vasanth Sarathy

Explainable recommendation through counterfactual reasoning seeks to identify the influential aspects of items in recommendations, which can then be used as explanations. However, state-of-the-art approaches, which aim to minimize changes…

Information Retrieval · Computer Science 2025-10-14 Yi Yu , Zhenxing Hu

Estimating counterfactual distributions under interventions is central to treatment risk assessment and counterfactual generation tasks. Existing approaches model the counterfactual distribution as a standalone generative target, without…

Machine Learning · Statistics 2026-05-11 Hugh Dance , Johnny Xi , Peter Orbanz , Benjamin Bloem-Reddy

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

Counterfactual explanations provide a potentially significant solution to the Explainable AI (XAI) problem, but good, native counterfactuals have been shown to rarely occur in most datasets. Hence, the most popular methods generate…

Artificial Intelligence · Computer Science 2021-01-25 Barry Smyth , Mark T Keane

Evaluating hypothetical statements about how the world would be had a different course of action been taken is arguably one key capability expected from modern AI systems. Counterfactual reasoning underpins discussions in fairness, the…

Machine Learning · Computer Science 2022-10-04 Kevin Xia , Yushu Pan , Elias Bareinboim