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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…

Model regularization requires extensive manual tuning to balance complexity against overfitting. Cross-regularization resolves this tradeoff by directly adapting regularization parameters through validation gradients during training. The…

机器学习 · 计算机科学 2025-06-25 Carlos Stein Brito

High-dimensional prediction with multiple data types needs to account for potentially strong differences in predictive signal. Ridge regression is a simple model for high-dimensional data that has challenged the predictive performance of…

统计方法学 · 统计学 2021-04-02 Mark A. van de Wiel , Mirrelijn M. van Nee , Armin Rauschenberger

Identifying optimal basic feasible solutions to linear programming problems is a critical task for mixed integer programming and other applications. The crossover method, which aims at deriving an optimal extreme point from a suboptimal…

最优化与控制 · 数学 2025-12-23 Dongdong Ge , Chengwenjian Wang , Zikai Xiong , Yinyu Ye

Hyperparameter tuning plays a crucial role in optimizing the performance of predictive learners. Cross--validation (CV) is a widely adopted technique for estimating the error of different hyperparameter settings. Repeated cross-validation…

机器学习 · 计算机科学 2023-08-01 Giovanni Maria Merola

Decision trees and systems of decision rules are widely used as classifiers, as a means for knowledge representation, and as algorithms. They are among the most interpretable models for data analysis. The study of the relationships between…

人工智能 · 计算机科学 2023-05-04 Kerven Durdymyradov , Mikhail Moshkov

We consider conducting inference on the output of the Classification and Regression Tree (CART) [Breiman et al., 1984] algorithm. A naive approach to inference that does not account for the fact that the tree was estimated from the data…

统计方法学 · 统计学 2022-10-19 Anna C. Neufeld , Lucy L. Gao , Daniela M. Witten

In low-dimensional topology, many important decision algorithms are based on normal surface enumeration, which is a form of vertex enumeration over a high-dimensional and highly degenerate polytope. Because this enumeration is subject to…

几何拓扑 · 数学 2013-02-18 Benjamin A. Burton , Melih Ozlen

The decision tree recursively partitions the input space into regions and derives axis-aligned decision boundaries from data. Despite its simplicity and interpretability, decision trees lack parameterized representation, which makes it…

机器学习 · 计算机科学 2024-11-19 Jinxiong Zhang

Premature convergence is one of the important issues while using Genetic Programming for data modeling. It can be avoided by improving population diversity. Intelligent genetic operators can help to improve the population diversity.…

神经与进化计算 · 计算机科学 2013-04-15 Hardik M. Parekh , Vipul K. Dabhi

This paper investigates the efficiency of the K-fold cross-validation (CV) procedure and a debiased version thereof as a means of estimating the generalization risk of a learning algorithm. We work under the general assumption of uniform…

统计理论 · 数学 2023-06-13 Anass Aghbalou , François Portier , Anne Sabourin

We introduce a batched lazy algorithm for supervised classification using decision trees. It avoids unnecessary visits to irrelevant nodes when it is used to make predictions with either eagerly or lazily trained decision trees. A set of…

机器学习 · 计算机科学 2016-03-09 Mathieu Guillame-Bert , Artur Dubrawski

We present a methodology for model evaluation and selection where the sampling mechanism violates the i.i.d. assumption. Our methodology involves a formulation of the bias between the standard Cross-Validation (CV) estimator and the mean…

统计方法学 · 统计学 2025-03-14 Oren Yuval , Saharon Rosset

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…

机器学习 · 计算机科学 2023-09-28 Xiyang Hu , Cynthia Rudin , Margo Seltzer

Gradient boosted decision trees are a popular machine learning technique, in part because of their ability to give good accuracy with small models. We describe two extensions to the standard tree boosting algorithm designed to increase this…

机器学习 · 统计学 2017-11-01 Natalia Ponomareva , Thomas Colthurst , Gilbert Hendry , Salem Haykal , Soroush Radpour

Decision trees are ubiquitous in machine learning for their ease of use and interpretability. Yet, these models are not typically employed in reinforcement learning as they cannot be updated online via stochastic gradient descent. We…

机器学习 · 计算机科学 2020-06-29 Andrew Silva , Taylor Killian , Ivan Dario Jimenez Rodriguez , Sung-Hyun Son , Matthew Gombolay

Recent advances in machine learning and artificial intelligence are now being considered in safety-critical autonomous systems where software defects may cause severe harm to humans and the environment. Design organizations in these domains…

机器学习 · 计算机科学 2020-03-24 John Törnblom , Simin Nadjm-Tehrani

Combining human and artificial intelligence (AI) is a potentially powerful approach to boost decision accuracy. However, few such approaches exist that effectively integrate both types of intelligence while maintaining human agency. Here,…

Factor analysis is over a century old, but it is still problematic to choose the number of factors for a given data set. The scree test is popular but subjective. The best performing objective methods are recommended on the basis of…

统计方法学 · 统计学 2015-11-12 A. B. Owen , J. Wang

Classification of datasets into two or more distinct classes is an important machine learning task. Many methods are able to classify binary classification tasks with a very high accuracy on test data, but cannot provide any easily…

机器学习 · 计算机科学 2020-08-26 Yashesh Dhebar , Sparsh Gupta , Kalyanmoy Deb