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Recent work proposed $\delta$-relevant inputs (or sets) as a probabilistic explanation for the predictions made by a classifier on a given input. $\delta$-relevant sets are significant because they serve to relate (model-agnostic) Anchors…

Machine Learning · Computer Science 2021-06-02 Yacine Izza , Alexey Ignatiev , Nina Narodytska , Martin C. Cooper , Joao Marques-Silva

Decision trees (DTs) epitomize what have become to be known as interpretable machine learning (ML) models. This is informally motivated by paths in DTs being often much smaller than the total number of features. This paper shows that in…

Machine Learning · Computer Science 2020-10-22 Yacine Izza , Alexey Ignatiev , Joao Marques-Silva

Decision trees (DTs) epitomize the ideal of interpretability of machine learning (ML) models. The interpretability of decision trees motivates explainability approaches by so-called intrinsic interpretability, and it is at the core of…

Artificial Intelligence · Computer Science 2022-10-04 Yacine Izza , Alexey Ignatiev , Joao Marques-Silva

Formal XAI (explainable AI) is a growing area that focuses on computing explanations with mathematical guarantees for the decisions made by ML models. Inside formal XAI, one of the most studied cases is that of explaining the choices taken…

Machine Learning · Computer Science 2022-07-26 Marcelo Arenas , Pablo Barceló , Miguel Romero , Bernardo Subercaseaux

The most widely studied explainable AI (XAI) approaches are unsound. This is the case with well-known model-agnostic explanation approaches, and it is also the case with approaches based on saliency maps. One solution is to consider…

Artificial Intelligence · Computer Science 2022-12-13 Yacine Izza , Xuanxiang Huang , Alexey Ignatiev , Nina Narodytska , Martin C. Cooper , Joao Marques-Silva

Recent work has shown that not only decision trees (DTs) may not be interpretable but also proposed a polynomial-time algorithm for computing one PI-explanation of a DT. This paper shows that for a wide range of classifiers, globally…

Artificial Intelligence · Computer Science 2021-06-24 Xuanxiang Huang , Yacine Izza , Alexey Ignatiev , Joao Marques-Silva

Decision lists (DLs) find a wide range of uses for classification problems in Machine Learning (ML), being implemented in a number of ML frameworks. DLs are often perceived as interpretable. However, building on recent results for decision…

Artificial Intelligence · Computer Science 2021-05-17 Alexey Ignatiev , Joao Marques-Silva

Deep Reinforcement Learning (DRL) has recently achieved significant advances in various domains. However, explaining the policy of RL agents still remains an open problem due to several factors, one being the complexity of explaining neural…

Machine Learning · Computer Science 2021-03-31 Zihan Ding , Pablo Hernandez-Leal , Gavin Weiguang Ding , Changjian Li , Ruitong Huang

Decision trees have long been recognized as models of choice in sensitive applications where interpretability is of paramount importance. In this paper, we examine the computational ability of Boolean decision trees in deriving, minimizing,…

Artificial Intelligence · Computer Science 2021-09-07 Gilles Audemard , Steve Bellart , Louenas Bounia , Frédéric Koriche , Jean-Marie Lagniez , Pierre Marquis

In this note, we establish the hardness of approximation of the problem of computing the minimal size of a $\delta$-sufficient reason for decision trees.

Computational Complexity · Computer Science 2023-04-07 Alexander Kozachinskiy

The complete reason behind a decision is a Boolean formula that characterizes why the decision was made. This recently introduced notion has a number of applications, which include generating explanations, detecting decision bias and…

Artificial Intelligence · Computer Science 2022-03-22 Adnan Darwiche , Chunxi Ji

The Rashomon set of decision trees (DTs) finds importance uses. Recent work showed that DTs computing the same classification function, i.e. predictive equivalent DTs, can represent a significant fraction of the Rashomon set. Such…

Artificial Intelligence · Computer Science 2025-10-17 Joao Marques-Silva , Alexey Ignatiev

We present an approach to improve the accuracy-interpretability trade-off of Machine Learning (ML) Decision Trees (DTs). In particular, we apply Maximum Satisfiability technology to compute Minimum Pure DTs (MPDTs). We improve the runtime…

Artificial Intelligence · Computer Science 2022-07-15 Josep Alos , Carlos Ansotegui , Eduard Torres

Boosted trees is a dominant ML model, exhibiting high accuracy. However, boosted trees are hardly intelligible, and this is a problem whenever they are used in safety-critical applications. Indeed, in such a context, rigorous explanations…

Artificial Intelligence · Computer Science 2022-09-19 Gilles Audemard , Jean-Marie Lagniez , Pierre Marquis , Nicolas Szczepanski

Recently, decision trees (DT) have been used as an explainable representation of controllers (a.k.a. strategies, policies, schedulers). Although they are often very efficient and produce small and understandable controllers for discrete…

Machine Learning · Computer Science 2022-08-30 Florian Jüngermann , Jan Křetínský , Maximilian Weininger

Tree ensembles (TEs) find a multitude of practical applications. They represent one of the most general and accurate classes of machine learning methods. While they are typically quite concise in representation, their operation remains…

Artificial Intelligence · Computer Science 2026-04-01 Yacine Izza , Alexey Ignatiev , Xuanxiang Huang , Peter J. Stuckey , Joao Marques-Silva

Improving the explainability of the results from machine learning methods has become an important research goal. Here, we study the problem of making clusters more interpretable by extending a recent approach of [Davidson et al., NeurIPS…

Data Structures and Algorithms · Computer Science 2020-02-10 Prathyush Sambaturu , Aparna Gupta , Ian Davidson , S. S. Ravi , Anil Vullikanti , Andrew Warren

Safety-critical controllers of complex systems are hard to construct manually. Automated approaches such as controller synthesis or learning provide a tempting alternative but usually lack explainability. To this end, learning decision…

Artificial Intelligence · Computer Science 2025-03-26 Debraj Chakraborty , Clemens Dubslaff , Sudeep Kanav , Jan Kretinsky , Christoph Weinhuber

Although neural networks are a powerful tool, their widespread use is hindered by the opacity of their decisions and their black-box nature, which result in a lack of trustworthiness. To alleviate this problem, methods in the field of…

Machine Learning · Computer Science 2025-11-13 Helena Monke , Benjamin Fresz , Marco Bernreuther , Yilin Chen , Marco F. Huber

In classification and forecasting with tabular data, one often utilizes tree-based models. Those can be competitive with deep neural networks on tabular data and, under some conditions, explainable. The explainability depends on the depth…

Machine Learning · Computer Science 2024-06-05 Jiri Nemecek , Tomas Pevny , Jakub Marecek
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