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As machine learning is increasingly used to help make decisions, there is a demand for these decisions to be explainable. Arguably, the most explainable machine learning models use decision rules. This paper focuses on decision sets, a type…

Artificial Intelligence · Computer Science 2020-07-31 Jinqiang Yu , Alexey Ignatiev , Peter J. Stuckey , Pierre Le Bodic

Machine learning (ML) is ubiquitous in modern life. Since it is being deployed in technologies that affect our privacy and safety, it is often crucial to understand the reasoning behind its decisions, warranting the need for explainable AI.…

Artificial Intelligence · Computer Science 2021-02-04 Alexey Ignatiev , Edward Lam , Peter J. Stuckey , Joao Marques-Silva

The growing interest in explainable artificial intelligence (XAI) for critical decision making motivates the need for interpretable machine learning (ML) models. In fact, due to their structure (especially with small sizes), these models…

Artificial Intelligence · Computer Science 2022-03-23 Hao Hu , Marie-José Huguet , Mohamed Siala

The task of learning to pick a single preferred example out a finite set of examples, an "optimal choice problem", is a supervised machine learning problem with complex, structured input. Problems of optimal choice emerge often in various…

Artificial Intelligence · Computer Science 2017-07-07 Marina Sapir

Learning interpretable models has become a major focus of machine learning research, given the increasing prominence of machine learning in socially important decision-making. Among interpretable models, rule lists are among the best-known…

Machine Learning · Computer Science 2024-06-19 Leonardo Pellegrina , Fabio Vandin

Constrained clustering is a semi-supervised task that employs a limited amount of labelled data, formulated as constraints, to incorporate domain-specific knowledge and to significantly improve clustering accuracy. Previous work has…

Machine Learning · Computer Science 2023-05-17 Pouya Shati , Eldan Cohen , Sheila McIlraith

Checklists are simple decision aids that are often used to promote safety and reliability in clinical applications. In this paper, we present a method to learn checklists for clinical decision support. We represent predictive checklists as…

Machine Learning · Computer Science 2022-01-19 Haoran Zhang , Quaid Morris , Berk Ustun , Marzyeh Ghassemi

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

Decision tree models, including random forests and gradient-boosted decision trees, are widely used in machine learning due to their high predictive performance. However, their complex structures often make them difficult to interpret,…

Artificial Intelligence · Computer Science 2026-01-08 Akihiro Takemura , Masayuki Otani , Katsumi Inoue

Decision trees have been a very popular class of predictive models for decades due to their interpretability and good performance on categorical features. However, they are not always robust and tend to overfit the data. Additionally, if…

Machine Learning · Computer Science 2019-08-14 Oktay Gunluk , Jayant Kalagnanam , Minhan Li , Matt Menickelly , Katya Scheinberg

Decision tree algorithms have been among the most popular algorithms for interpretable (transparent) machine learning since the early 1980's. The problem that has plagued decision tree algorithms since their inception is their lack of…

Machine Learning · Computer Science 2023-09-28 Xiyang Hu , Cynthia Rudin , Margo Seltzer

We study the fundamental question of how informative a dataset is for solving a given decision-making task. In our setting, the dataset provides partial information about unknown parameters that influence task outcomes. Focusing on linear…

Optimization and Control · Mathematics 2025-05-29 Omar Bennouna , Amine Bennouna , Saurabh Amin , Asuman Ozdaglar

In list-decodable learning, we are given a set of data points such that an $\alpha$-fraction of these points come from a nice distribution $D$, for some small $\alpha \ll 1$, and the goal is to output a short list of candidate solutions,…

Machine Learning · Computer Science 2025-11-25 Ziyun Chen , Spencer Compton , Daniel Kane , Jerry Li

Optimization - minimization or maximization - in the lattice of subsets is a frequent operation in Artificial Intelligence tasks. Examples are subset-minimal model-based diagnosis, nonmonotonic reasoning by means of circumscription, or…

Artificial Intelligence · Computer Science 2016-12-23 Wolfgang Faber , Mauro Vallati , Federico Cerutti , Massimiliano Giacomin

A decision list is an ordered list of rules. Each rule is specified by a term, which is a conjunction of literals, and a value. Given an input, the output of a decision list is the value corresponding to the first rule whose term is…

Computational Complexity · Computer Science 2020-02-19 Shachar Lovett , Kewen Wu , Jiapeng Zhang

Large Reasoning Models (LRMs) have revolutionized complex problem-solving, yet they exhibit a pervasive "overthinking", generating unnecessarily long reasoning chains. While current solutions improve token efficiency, they often sacrifice…

Artificial Intelligence · Computer Science 2026-04-10 Weiyang Huang , Xuefeng Bai , Kehai Chen , Xinyang Chen , Yibin Chen , Weili Guan , Min Zhang

Decision tree optimization is fundamental to interpretable machine learning. The most popular approach is to greedily search for the best feature at every decision point, which is fast but provably suboptimal. Recent approaches find the…

Machine Learning · Computer Science 2025-11-19 Varun Babbar , Hayden McTavish , Cynthia Rudin , Margo Seltzer

Decision diagrams for classification have some notable advantages over decision trees, as their internal connections can be determined at training time and their width is not bound to grow exponentially with their depth. Accordingly,…

Machine Learning · Computer Science 2022-05-31 Alexandre M. Florio , Pedro Martins , Maximilian Schiffer , Thiago Serra , Thibaut Vidal

This paper describes diff-SAT, an Answer Set and SAT solver which combines regular solving with the capability to use probabilistic clauses, facts and rules, and to sample an optimal world-view (multiset of satisfying Boolean variable…

Artificial Intelligence · Computer Science 2021-01-05 Matthias Nickles

Random forests and, more generally, (decision\nobreakdash-)tree ensembles are widely used methods for classification and regression. Recent algorithmic advances allow to compute decision trees that are optimal for various measures such as…

Machine Learning · Computer Science 2024-09-25 Christian Komusiewicz , Pascal Kunz , Frank Sommer , Manuel Sorge
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