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Counterfactual explanations utilize feature perturbations to analyze the outcome of an original decision and recommend an actionable recourse. We argue that it is beneficial to provide several alternative explanations rather than a single…

Machine Learning · Computer Science 2023-01-24 Natraj Raman , Daniele Magazzeni , Sameena Shah

Counterfactual inference considers a hypothetical intervention in a parallel world that shares some evidence with the factual world. If the evidence specifies a conditional distribution on a manifold, counterfactuals may be analytically…

Machine Learning · Statistics 2024-07-03 Juha Karvanen , Santtu Tikka , Matti Vihola

In this paper we suggest NICE: a new algorithm to generate counterfactual explanations for heterogeneous tabular data. The design of our algorithm specifically takes into account algorithmic requirements that often emerge in real-life…

Machine Learning · Computer Science 2022-05-17 Dieter Brughmans , Pieter Leyman , David Martens

The relaxation complexity rc(X) of the set of integer points X contained in a polyhedron is the minimal number of inequalities needed to formulate a linear optimization problem over X without using auxiliary variables. Besides its relevance…

Optimization and Control · Mathematics 2022-03-14 Gennadiy Averkov , Christopher Hojny , Matthias Schymura

Counterfactual explanation methods provide information on how feature values of individual observations must be changed to obtain a desired prediction. Despite the increasing amount of proposed methods in research, only a few…

Machine Learning · Statistics 2023-09-19 Susanne Dandl , Andreas Hofheinz , Martin Binder , Bernd Bischl , Giuseppe Casalicchio

Machine learning is increasingly applied in high-stakes decision making that directly affect people's lives, and this leads to an increased demand for systems to explain their decisions. Explanations often take the form of counterfactuals,…

Machine Learning · Computer Science 2021-05-20 Maximilian Schleich , Zixuan Geng , Yihong Zhang , Dan Suciu

This paper introduces mixed-integer optimization methods to solve regression problems that incorporate fairness metrics. We propose an exact formulation for training fair regression models. To tackle this computationally hard problem, we…

Machine Learning · Computer Science 2024-12-24 Anna Deza , Andrés Gómez , Alper Atamtürk

Social computation, whether in the form of searches performed by swarms of agents or collective predictions of markets, often supplies remarkably good solutions to complex problems. In many examples, individuals trying to solve a problem…

Information Theory · Computer Science 2011-03-25 Vadas Gintautas , Aric Hagberg , Luis M. A. Bettencourt

Morse matchings capture the essential structural information of discrete Morse functions. We show that computing optimal Morse matchings is NP-hard and give an integer programming formulation for the problem. Then we present polyhedral…

Combinatorics · Mathematics 2007-05-23 Michael Joswig , Marc E. Pfetsch

Counterfactual explanations study what should have changed in order to get an alternative result, enabling end-users to understand machine learning mechanisms with counterexamples. Actionability is defined as the ability to transform the…

Artificial Intelligence · Computer Science 2025-08-05 Enrique Valero-Leal , Pedro Larrañaga , Concha Bielza

Fairness-aware recommendation eliminates discrimination issues to build trustworthy recommendation systems.Explaining the causes of unfair recommendations is critical, as it promotes fairness diagnostics, and thus secures users' trust in…

Information Retrieval · Computer Science 2023-07-11 Xiangmeng Wang , Qian Li , Dianer Yu , Qing Li , Guandong Xu

A standard quadratic program is an optimization problem that consists of minimizing a (nonconvex) quadratic form over the unit simplex. We focus on reformulating a standard quadratic program as a mixed integer linear programming problem. We…

Optimization and Control · Mathematics 2018-10-05 Jacek Gondzio , E. Alper Yildirim

Given conflicting probability estimates for a set of events, how can we quantify how much they conflict? How can we find a single probability distribution that best encapsulates the given estimates? One approach is to minimize a loss…

Probability · Mathematics 2024-12-05 Rowan Hess , Lionel Levine

While probability theory is normally applied to external environments, there has been some recent interest in probabilistic modeling of the outputs of computations that are too expensive to run. Since mathematical logic is a powerful tool…

Artificial Intelligence · Computer Science 2016-10-10 Scott Garrabrant , Benya Fallenstein , Abram Demski , Nate Soares

In this paper, a mixed-integer linear programming formulation for the problem of obtaining task-relevant, multi-resolution, graph abstractions for resource-constrained agents is presented. The formulation leverages concepts from…

Robotics · Computer Science 2021-07-01 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

Explanation techniques that synthesize small, interpretable changes to a given image while producing desired changes in the model prediction have become popular for introspecting black-box models. Commonly referred to as counterfactuals,…

Machine Learning · Computer Science 2021-10-06 Jayaraman J. Thiagarajan , Vivek Narayanaswamy , Deepta Rajan , Jason Liang , Akshay Chaudhari , Andreas Spanias

We study the problem of assessing the robustness of counterfactual explanations for deep learning models. We focus on $\textit{plausible model shifts}$ altering model parameters and propose a novel framework to reason about the robustness…

Machine Learning · Computer Science 2024-07-11 Luca Marzari , Francesco Leofante , Ferdinando Cicalese , Alessandro Farinelli

In this work, we focus on the problem of retrieving relevant arguments for a query claim covering diverse aspects. State-of-the-art methods rely on explicit mappings between claims and premises, and thus are unable to utilize large…

Information Retrieval · Computer Science 2021-03-18 Michael Fromm , Max Berrendorf , Sandra Obermeier , Thomas Seidl , Evgeniy Faerman

Despite the occurrence of elegant algorithms for solving complex problem, exhaustive search has retained its significance since many real-life problems exhibit no regular structure and exhaustive search is the only possible solution. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-01-04 Toni Stojanovski , Ljupco Krstevski

This paper presents a novel framework for reconstructing multi-hop explanations in science Question Answering (QA). While existing approaches for multi-hop reasoning build explanations considering each question in isolation, we propose a…

Artificial Intelligence · Computer Science 2021-02-11 Marco Valentino , Mokanarangan Thayaparan , André Freitas
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