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Classification and Regression Trees (CARTs) are off-the-shelf techniques in modern Statistics and Machine Learning. CARTs are traditionally built by means of a greedy procedure, sequentially deciding the splitting predictor variable(s) and…

Machine Learning · Statistics 2021-10-25 Rafael Blanquero , Emilio Carrizosa , Cristina Molero-Río , Dolores Romero Morales

This paper presents enhancements to the projection pursuit tree classifier and visual diagnostic methods for assessing their impact in high dimensions. The original algorithm uses linear combinations of variables in a tree structure where…

Machine Learning · Statistics 2026-03-16 Natalia da Silva , Dianne Cook , Eun-Kyung Lee

Ensemble calculations are essential for systems with uncertain data but require substantial increase in computational resources. This increase severely limits ensemble size. To reach beyond current limits, we present a first-order…

Numerical Analysis · Mathematics 2017-12-19 Joseph A. Fiordilino , Michael McLaughlin

Research Replication Prediction (RRP) is the task of predicting whether a published research result can be replicated or not. Building an interpretable neural text classifier for RRP promotes the understanding of why a research paper is…

Computation and Language · Computer Science 2022-03-29 Tianyi Luo , Rui Meng , Xin Eric Wang , Yang Liu

Modern language models address complex questions through chain-of-thought (CoT) reasoning (Wei et al., 2023) and retrieval augmentation (Lewis et al., 2021), yet struggle with error propagation and knowledge integration. Tree-structured…

Artificial Intelligence · Computer Science 2025-09-29 Ahmed Bahloul , Simon Malberg

Random forests construct each tree with a different, randomised representation of the feature space. Their uniform voting cannot correct errors in regions where trees with incorrect representations probabilistically outnumber correct ones,…

Machine Learning · Computer Science 2026-05-28 Youngjoon Park

Many recent statistical applications involve inference under complex models, where it is computationally prohibitive to calculate likelihoods but possible to simulate data. Approximate Bayesian Computation (ABC) is devoted to these complex…

Populations and Evolution · Quantitative Biology 2011-06-15 Katalin Csilléry , Olivier François , Michael GB Blum

Probability estimation is one of the fundamental tasks in statistics and machine learning. However, standard methods for probability estimation on discrete objects do not handle object structure in a satisfactory manner. In this paper, we…

Applications · Statistics 2018-11-06 Cheng Zhang , Frederick A. Matsen

Tree-based models are used in many high-stakes application domains such as finance and medicine, where robustness and interpretability are of utmost importance. Yet, methods for improving and certifying their robustness are severely…

Machine Learning · Computer Science 2022-11-16 Miklós Z. Horváth , Mark Niklas Müller , Marc Fischer , Martin Vechev

Artificial Neural Network is among the most popular algorithm for supervised learning. However, Neural Networks have a well-known drawback of being a "Black Box" learner that is not comprehensible to the Users. This lack of transparency…

Machine Learning · Computer Science 2011-10-04 Ridwan Al Iqbal

Bringing high-level machine learning models to efficient and well-suited machine implementations often invokes a bunch of tools, e.g.~code generators, compilers, and optimizers. Along such tool chains, abstractions have to be applied. This…

Machine Learning · Computer Science 2024-04-11 Daniel Biebert , Christian Hakert , Kuan-Hsun Chen , Jian-Jia Chen

The concept of trustworthy AI has gained widespread attention lately. One of the aspects relevant to trustworthy AI is robustness of ML models. In this study, we show how to probabilistically quantify robustness against naturally occurring…

Machine Learning · Computer Science 2022-11-30 Christoph Schweimer , Sebastian Scher

The oblique random survival forest (RSF) is an ensemble supervised learning method for right-censored outcomes. Trees in the oblique RSF are grown using linear combinations of predictors to create branches, whereas in the standard RSF, a…

Recent studies in Learning to Rank have shown the possibility to effectively distill a neural network from an ensemble of regression trees. This result leads neural networks to become a natural competitor of tree-based ensembles on the…

Machine Learning · Computer Science 2024-10-28 F. M. Nardini , C. Rulli , S. Trani , R. Venturini

Trust in counterfactual explanations depends critically on whether their recommended changes are truly minimal: suboptimal explanations may vastly overshoot the actual changes needed to alter a decision, and heuristic errors can affect…

Machine Learning · Computer Science 2026-05-08 Awa Khouna , Youssouf Emine , Julien Ferry , Thibaut Vidal

Large language models achieve strong reasoning performance, yet existing decoding strategies either explore blindly (random sampling) or redundantly (independent multi-sampling). We propose Entropy-Tree, a tree-based decoding method that…

Computation and Language · Computer Science 2026-01-23 Longxuan Wei , Yubo Zhang , Zijiao Zhang , Zhihu Wang , Shiwan Zhao , Tianyu Huang , Huiting Zhao , Chenfei Liu , Shenao Zhang , Junchi Yan

The lack of interpretability remains a key barrier to the adoption of deep models in many applications. In this work, we explicitly regularize deep models so human users might step through the process behind their predictions in little…

Machine Learning · Statistics 2017-11-17 Mike Wu , Michael C. Hughes , Sonali Parbhoo , Maurizio Zazzi , Volker Roth , Finale Doshi-Velez

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

Bootstrap aggregation, known as bagging, is one of the most popular ensemble methods used in machine learning (ML). An ensemble method is a ML method that combines multiple hypotheses to form a single hypothesis used for prediction. A…

Machine Learning · Computer Science 2021-08-18 Jeremy Charlier , Vladimir Makarenkov

Model interpretability has become an important problem in machine learning (ML) due to the increased effect that algorithmic decisions have on humans. Counterfactual explanations can help users understand not only why ML models make certain…

Machine Learning · Computer Science 2021-12-20 Ana Lucic , Harrie Oosterhuis , Hinda Haned , Maarten de Rijke
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