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Ensemble trees are a popular machine learning model which often yields high prediction performance when analysing structured data. Although individual small decision trees are deemed explainable by nature, an ensemble of large trees is…

Logic in Computer Science · Computer Science 2021-03-04 Gelin Zhang , Zhe Hou , Yanhong Huang , Jianqi Shi , Hadrien Bride , Jin Song Dong , Yongsheng Gao

The problem of learning discrete Bayesian networks from data is encoded as a weighted MAX-SAT problem and the MaxWalkSat local search algorithm is used to address it. For each dataset, the per-variable summands of the (BDeu) marginal…

Artificial Intelligence · Computer Science 2012-06-18 James Cussens

Explainable Artificial Intelligence (XAI) aims to make learning machines less opaque, and offers researchers and practitioners various tools to reveal the decision-making strategies of neural networks. In this work, we investigate how XAI…

Machine Learning · Computer Science 2023-11-15 Dennis Grinwald , Kirill Bykov , Shinichi Nakajima , Marina M. -C. Höhne

Pattern discovery in data plays a crucial role across diverse domains, including healthcare, risk assessment, and machinery maintenance. In contrast to black-box deep learning models, symbolic rule discovery emerges as a key data mining…

Machine Learning · Computer Science 2026-05-15 Young-Chae Hong , Yangho Chen

This work introduces a novel interpretable machine learning method called Mixture of Decision Trees (MoDT). It constitutes a special case of the Mixture of Experts ensemble architecture, which utilizes a linear model as gating function and…

Machine Learning · Computer Science 2022-11-29 Simeon Brüggenjürgen , Nina Schaaf , Pascal Kerschke , Marco F. Huber

Tree-based models are widely recognized for their interpretability and have proven effective in various application domains, particularly in high-stakes domains. However, learning decision trees (DTs) poses a significant challenge due to…

Machine Learning · Computer Science 2026-03-13 Sascha Marton

Qualitative models provide crucial instruments for modelling complex biological systems. While advances in automated reasoning and symbolic encodings have enabled rigorous inference of these models from data, the process remains highly…

Molecular Networks · Quantitative Biology 2026-05-14 Ondřej Huvar , Nikola Beneš , Martin Jonáš , David Šafránek , Samuel Pastva

Classical metric and non-metric multidimensional scaling (MDS) variants are widely known manifold learning (ML) methods which enable construction of low dimensional representation (projections) of high dimensional data inputs. However,…

Data Analysis, Statistics and Probability · Physics 2014-06-16 Denis Horvath , Jozef Ulicny , Branislav Brutovsky

Bayesian deep learning (BDL) is a promising approach to achieve well-calibrated predictions on distribution-shifted data. Nevertheless, there exists no large-scale survey that evaluates recent SOTA methods on diverse, realistic, and…

Machine Learning · Computer Science 2023-10-26 Florian Seligmann , Philipp Becker , Michael Volpp , Gerhard Neumann

Bridging logical reasoning and deep learning is crucial for advanced AI systems. In this work, we present a new framework that addresses this goal by generating interpretable and verifiable logical rules through differentiable learning,…

Artificial Intelligence · Computer Science 2023-10-04 Zhaoyu Li , Jinpei Guo , Yuhe Jiang , Xujie Si

Most recent MaxSAT algorithms rely on a succession of calls to a SAT solver in order to find an optimal solution. In particular, several algorithms take advantage of the ability of SAT solvers to identify unsatisfiable subformulas. Usually,…

Artificial Intelligence · Computer Science 2015-05-12 Miguel Neves , Ruben Martins , Mikoláš Janota , Inês Lynce , Vasco Manquinho

Explainable machine learning (XML) has emerged as a major challenge in artificial intelligence (AI). Although black-box models such as Deep Neural Networks and Gradient Boosting often exhibit exceptional predictive accuracy, their lack of…

Methodology · Statistics 2024-06-18 Evgenii Kuriabov , Jia Li

This paper presents a MaxSAT benchmark focused on the identification of Maximum Probability Minimal Cut Sets (MPMCSs) in fault trees. We address the MPMCS problem by transforming the input fault tree into a weighted logical formula that is…

Cryptography and Security · Computer Science 2020-07-17 Martín Barrère , Chris Hankin

Integrating logical reasoning within deep learning architectures has been a major goal of modern AI systems. In this paper, we propose a new direction toward this goal by introducing a differentiable (smoothed) maximum satisfiability…

Machine Learning · Computer Science 2019-05-30 Po-Wei Wang , Priya L. Donti , Bryan Wilder , Zico Kolter

The determination of sample size in qualitative research has traditionally relied on the subjective and often ambiguous principle of data saturation, which can lead to inconsistencies and threaten methodological rigor. This study introduces…

Machine Learning · Computer Science 2025-12-10 Hasan Tutar , Caner Erden , Ümit Şentürk

This paper presents a comprehensive theoretical investigation into the parameterized complexity of explanation problems in various machine learning (ML) models. Contrary to the prevalent black-box perception, our study focuses on models…

Artificial Intelligence · Computer Science 2025-11-06 Sebastian Ordyniak , Giacomo Paesani , Mateusz Rychlicki , Stefan Szeider

For the exploration of large state spaces, symbolic search using binary decision diagrams (BDDs) can save huge amounts of memory and computation time. State sets are represented and modified by accessing and manipulating their…

Artificial Intelligence · Computer Science 2012-10-25 Stefan Edelkamp , Peter Kissmann , Álvaro Torralba

Embedding image features into a binary Hamming space can improve both the speed and accuracy of large-scale query-by-example image retrieval systems. Supervised hashing aims to map the original features to compact binary codes in a manner…

Machine Learning · Computer Science 2016-11-17 Guosheng Lin , Chunhua Shen , Anton van den Hengel

In the last decade, decision diagrams (DDs) have been the basis for a large array of novel approaches for modeling and solving optimization problems. Many techniques now use DDs as a key tool to achieve state-of-the-art performance within…

Optimization and Control · Mathematics 2022-01-28 Margarita P. Castro , Andre A. Cire , J. Christopher Beck

Decision trees with binary splits are popularly constructed using Classification and Regression Trees (CART) methodology. For binary classification and regression models, this approach recursively divides the data into two near-homogenous…

Machine Learning · Statistics 2020-08-17 Jason M. Klusowski