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Decision trees are widely used for interpretable machine learning due to their clearly structured reasoning process. However, this structure belies a challenge we refer to as predictive equivalence: a given tree's decision boundary can be…

Machine Learning · Computer Science 2025-10-15 Hayden McTavish , Zachery Boner , Jon Donnelly , Margo Seltzer , Cynthia Rudin

Clustering is one of the fundamental tasks in data analytics and machine learning. In many situations, different clusterings of the same data set become relevant. For example, different algorithms for the same clustering task may return…

Optimization and Control · Mathematics 2020-04-06 Steffen Borgwardt , Charles Viss

Predictions using a combination of decision trees are known to be effective in machine learning. Typical ideas for constructing a combination of decision trees for prediction are bagging and boosting. Bagging independently constructs…

Machine Learning · Computer Science 2024-02-12 Keito Tajima , Naoki Ichijo , Yuta Nakahara , Toshiyasu Matsushima

Continual learning is the problem of integrating new information in a model while retaining the knowledge acquired in the past. Despite the tangible improvements achieved in recent years, the problem of continual learning is still an open…

Machine Learning · Computer Science 2024-07-24 Giulia Lanzillotta , Sidak Pal Singh , Benjamin F. Grewe , Thomas Hofmann

This work presents an approach to automatically induction for non-greedy decision trees constructed from neural network architecture. This construction can be used to transfer weights when growing or pruning a decision tree, allowing…

Machine Learning · Statistics 2019-12-10 Chapman Siu

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

The election is a classical problem in distributed algorithmic. It aims to design and to analyze a distributed algorithm choosing a node in a graph, here, in a tree. In this paper, a class of randomized algorithms for the election is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-20 Jean-François Marckert , Nasser Saheb-Djahromi , Akka Zemmari

Metric learning has the aim to improve classification accuracy by learning a distance measure which brings data points from the same class closer together and pushes data points from different classes further apart. Recent research has…

Machine Learning · Computer Science 2018-05-21 Benjamin Paaßen

We address the problem of finding influential training samples for a particular case of tree ensemble-based models, e.g., Random Forest (RF) or Gradient Boosted Decision Trees (GBDT). A natural way of formalizing this problem is studying…

Machine Learning · Computer Science 2018-03-14 Boris Sharchilev , Yury Ustinovsky , Pavel Serdyukov , Maarten de Rijke

This study introduces new time-stepping strategies with built-in global error estimators. The new methods propagate the defect along with the numerical solution much like solving for the correction or Zadunaisky's procedure; however, the…

Numerical Analysis · Mathematics 2017-05-11 Emil Constantinescu

The Estimation of Distribution Algorithm is a new class of population based search methods in that a probabilistic model of individuals is estimated based on the high quality individuals and used to generate the new individuals. In this…

Artificial Intelligence · Computer Science 2019-04-03 R. Rastegar , M. R. Meybodi

Sparse decision trees are one of the most common forms of interpretable models. While recent advances have produced algorithms that fully optimize sparse decision trees for prediction, that work does not address policy design, because the…

Machine Learning · Computer Science 2022-10-27 Ali Behrouz , Mathias Lecuyer , Cynthia Rudin , Margo Seltzer

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

A new strategy for global geometry optimization of clusters is presented. Important features are a restriction of search space to favorable nearest-neighbor distance ranges, a suitable cluster growth representation with diminished…

chem-ph · Physics 2009-10-28 Bernd Hartke

We present a technique for clustering categorical data by generating many dissimilarity matrices and averaging over them. We begin by demonstrating our technique on low dimensional categorical data and comparing it to several other…

Machine Learning · Statistics 2017-09-20 Saeid Amiri , Bertrand Clarke , Jennifer Clarke

A new nonparametric approach, based on a decision tree algorithm, is proposed to calculate the overlap between two probability distributions. The devised framework is described analytically and numerically. The convergence of the estimated…

Statistics Theory · Mathematics 2022-11-28 Hisashi Johno , Kazunori Nakamoto

This paper describes RESOLVE, a system that uses decision trees to learn how to classify coreferent phrases in the domain of business joint ventures. An experiment is presented in which the performance of RESOLVE is compared to the…

cmp-lg · Computer Science 2008-02-03 Joseph F. McCarthy , Wendy G. Lehnert

We present an algorithm, called the Offset Tree, for learning to make decisions in situations where the payoff of only one choice is observed, rather than all choices. The algorithm reduces this setting to binary classification, allowing…

Machine Learning · Computer Science 2016-04-05 Alina Beygelzimer , John Langford

Building predictive models for tabular data presents fundamental challenges, notably in scaling consistently, i.e., more resources translating to better performance, and generalizing systematically beyond the training data distribution.…

Owing to their inherently interpretable structure, decision trees are commonly used in applications where interpretability is essential. Recent work has focused on improving various aspects of decision trees, including their predictive…

Machine Learning · Statistics 2023-05-30 Dimitris Bertsimas , Vassilis Digalakis