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The increasing complexity of data requires methods and models that can effectively handle intricate structures, as simplifying them would result in loss of information. While several analytical tools have been developed to work with complex…

Methodology · Statistics 2023-06-16 Riccardo Giubilei , Tullia Padellini , Pierpaolo Brutti

Increasingly complex learning methods such as boosting, bagging and deep learning have made ML models more accurate, but harder to understand and interpret. A tradeoff between performance and intelligibility is often to be faced, especially…

Machine Learning · Computer Science 2023-12-18 Enea Parimbelli , Giovanna Nicora , Szymon Wilk , Wojtek Michalowski , Riccardo Bellazzi

The prevailing mindset is that a single decision tree underperforms classic random forests in testing accuracy, despite its advantages in interpretability and lightweight structure. This study challenges such a mindset by significantly…

Machine Learning · Computer Science 2024-11-27 Qiangqiang Mao , Yankai Cao

Random forests have long been considered as powerful model ensembles in machine learning. By training multiple decision trees, whose diversity is fostered through data and feature subsampling, the resulting random forest can lead to more…

Artificial Intelligence · Computer Science 2021-08-12 Gilles Audemard , Steve Bellart , Louenas Bounia , Frédéric Koriche , Jean-Marie Lagniez , Pierre Marquis

Finite-state tree automata are a well studied formalism for representing term languages. This paper studies the problem of determining the regularity of the set of instances of a finite set of terms with variables, where each variable is…

Symbolic Computation · Computer Science 2009-11-20 Omer Giménez , Guillem Godoy , Sebastian Maneth

This paper proposes a new algorithm for learning accurate tree-based models while ensuring the existence of recourse actions. Algorithmic Recourse (AR) aims to provide a recourse action for altering the undesired prediction result given by…

Machine Learning · Computer Science 2024-06-04 Kentaro Kanamori , Takuya Takagi , Ken Kobayashi , Yuichi Ike

We study the problem of formally verifying individual fairness of decision tree ensembles, as well as training tree models which maximize both accuracy and individual fairness. In our approach, fairness verification and fairness-aware…

Machine Learning · Computer Science 2021-01-05 Francesco Ranzato , Caterina Urban , Marco Zanella

The focus of this paper is the analysis of real-time systems with recursion, through the development of good theoretical techniques which are implementable. Time is modeled using clock variables, and recursion using stacks. Our technique…

Formal Languages and Automata Theory · Computer Science 2017-07-11 S. Akshay , Paul Gastin , Shankara Narayanan Krishna , Ilias Sarkar

Tree ensembles are widely used in industrial machine learning due to their strong predictive performance and efficient training procedures. However, as the number of trees in an ensemble grows, the resulting models become increasingly…

Machine Learning · Computer Science 2026-04-29 Josue Obregon

Existing ordinal trees and random forests typically use scores that are assigned to the ordered categories, which implies that a higher scale level is used. Versions of ordinal trees are proposed that take the scale level seriously and…

Methodology · Statistics 2021-02-02 Gerhard Tutz

Recent work has shown that the input-output behavior of some machine learning systems can be captured symbolically using Boolean expressions or tractable Boolean circuits, which facilitates reasoning about the behavior of these systems.…

Artificial Intelligence · Computer Science 2020-07-06 Arthur Choi , Andy Shih , Anchal Goyanka , Adnan Darwiche

Pricing actuaries typically operate within the framework of generalized linear models (GLMs). With the upswing of data analytics, our study puts focus on machine learning methods to develop full tariff plans built from both the frequency…

Applications · Statistics 2020-03-04 Roel Henckaerts , Marie-Pier Côté , Katrien Antonio , Roel Verbelen

Decision tree induction systems are being used for knowledge acquisition in noisy domains. This paper develops a subjective Bayesian interpretation of the task tackled by these systems and the heuristic methods they use. It is argued that…

Artificial Intelligence · Computer Science 2013-04-11 Wray L. Buntine

Hash codes are a very efficient data representation needed to be able to cope with the ever growing amounts of data. We introduce a random forest semantic hashing scheme with information-theoretic code aggregation, showing for the first…

Computer Vision and Pattern Recognition · Computer Science 2015-04-20 Qiang Qiu , Guillermo Sapiro , Alex Bronstein

Random forests are ensemble methods which grow trees as base learners and combine their predictions by averaging. Random forests are known for their good practical performance, particularly in high dimensional set-tings. On the theoretical…

Statistics Theory · Mathematics 2015-09-18 Erwan Scornet

Heterogeneous ensembles built from the predictions of a wide variety and large number of diverse base predictors represent a potent approach to building predictive models for problems where the ideal base/individual predictor may not be…

Machine Learning · Computer Science 2021-03-01 Ana Stanescu , Gaurav Pandey

State-of-the-art clustering algorithms use heuristics to partition the feature space and provide little insight into the rationale for cluster membership, limiting their interpretability. In healthcare applications, the latter poses a…

Machine Learning · Statistics 2018-12-04 Dimitris Bertsimas , Agni Orfanoudaki , Holly Wiberg

Tree ensembles, including boosting methods, are highly effective and widely used for tabular data. However, large ensembles lack interpretability and require longer inference times. We introduce a method to prune a tree ensemble into a…

Machine Learning · Computer Science 2025-01-22 Youssouf Emine , Alexandre Forel , Idriss Malek , Thibaut Vidal

Rapid increase of traffic volume on urban roads over time has changed the traffic scenario globally. It has also increased the ratio of road accidents that can be severe and fatal in the worst case. To improve traffic safety and its…

Other Computer Science · Computer Science 2020-10-29 Muhammad Umer , Saima Sadiq , Abid Ishaq , Saleem Ullah , Najia Saher , Hamza Ahmad Madni

Topologically constrained genome-like polymers often double-fold into tree-like configurations, which can be modelled on the level of folded (ring) polymers or on the level of the underlying random trees. For both descriptions, we have…

Soft Condensed Matter · Physics 2026-05-19 Pieter H. W. van der Hoek , Angelo Rosa , Elham Ghobadpour , Ralf Everaers