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The motivation of this work is to improve the performance of standard stacking approaches or ensembles, which are composed of simple, heterogeneous base models, through the integration of the generation and selection stages for regression…

Machine Learning · Statistics 2014-03-31 Roberto Aldave , Jean-Pierre Dussault

Machine learning models are often learned by minimising a loss function on the training data using a gradient descent algorithm. These models often suffer from overfitting, leading to a decline in predictive performance on unseen data. A…

Connected acyclic graphs (trees) are data objects that hierarchically organize categories. Collections of trees arise in a diverse variety of fields, including evolutionary biology, public health, machine learning, social sciences and…

Methodology · Statistics 2025-12-01 Maria Alejandra Valdez Cabrera , Amy D Willis , Armeen Taeb

Search engine ranking pipelines are commonly based on large ensembles of machine-learned decision trees. The tight constraints on query response time recently motivated researchers to investigate algorithms to make faster the traversal of…

Information Retrieval · Computer Science 2020-05-01 Claudio Lucchese , Franco Maria Nardini , Salvatore Orlando , Raffaele Perego , Salvatore Trani

Regression trees are becoming increasingly popular as omnibus predicting tools and as the basis of numerous modern statistical learning ensembles. Part of their popularity is their ability to create a regression prediction without ever…

Machine Learning · Statistics 2016-06-17 Will Ruth , Thomas Loughin

Decision trees are widely used for classification and regression tasks in a variety of application fields due to their interpretability and good accuracy. During the past decade, growing attention has been devoted to globally optimized…

Machine Learning · Computer Science 2025-01-28 Antonio Consolo , Edoardo Amaldi , Andrea Manno

Ordered Weighted $L_{1}$ (OWL) regularized regression is a new regression analysis for high-dimensional sparse learning. Proximal gradient methods are used as standard approaches to solve OWL regression. However, it is still a burning issue…

Machine Learning · Computer Science 2021-10-20 Runxue Bao , Bin Gu , Heng Huang

Early-exiting neural networks enable adaptive inference by allowing inputs to exit at intermediate classifiers, reducing computation for easy samples while maintaining high accuracy. In practice, exits can be trained sequentially by…

Machine Learning · Computer Science 2026-05-08 Alaa Zniber , Ouassim Karrakchou , Mounir Ghogho

For linear inverse problems $Y=\mathsf{A}\mu+\xi$, it is classical to recover the unknown signal $\mu$ by iterative regularisation methods $(\widehat \mu^{(m)}, m=0,1,\ldots)$ and halt at a data-dependent iteration $\tau$ using some…

Statistics Theory · Mathematics 2017-10-27 Gilles Blanchard , Marc Hoffmann , Markus Reiß

This work examines the convergence of stochastic gradient-based optimization algorithms that use early stopping based on a validation function. The form of early stopping we consider is that optimization terminates when the norm of the…

Optimization and Control · Mathematics 2020-07-23 Thomas Flynn , Kwang Min Yu , Abid Malik , Nicolas D'Imperio , Shinjae Yoo

Decision trees are popular classification models, providing high accuracy and intuitive explanations. However, as the tree size grows the model interpretability deteriorates. Traditional tree-induction algorithms, such as C4.5 and CART,…

Machine Learning · Computer Science 2022-11-29 Guangyi Zhang , Aristides Gionis

Decision trees are a widely used method for classification, both by themselves and as the building blocks of multiple different ensemble learning methods. The Max-Cut decision tree involves novel modifications to a standard, baseline model…

Machine Learning · Computer Science 2020-06-26 Jonathan Bodine , Dorit S. Hochbaum

We describe algorithms for finding the regression of t, a sequence of values, to the closest sequence s by mean squared error, so that s is always increasing (isotonicity) and so the values of two consecutive points do not increase by too…

Data Structures and Algorithms · Computer Science 2009-12-31 Pankaj K. Agarwal , Jeff M. Phillips , Bardia Sadri

There are many approaches for training decision trees. This work introduces a novel gradient-based method for constructing decision trees that optimize arbitrary differentiable loss functions, overcoming the limitations of heuristic…

Machine Learning · Computer Science 2025-03-25 Andrei V. Konstantinov , Lev V. Utkin

Sequences are often not received in their entirety at once, but instead, received incrementally over time, element by element. Early predictions yielding a higher benefit, one aims to classify a sequence as accurately as possible, as soon…

Machine Learning · Computer Science 2023-04-10 Alexander Cao , Jean Utke , Diego Klabjan

A large number of explicit estimators are proposed in this paper for loss rate estimation in a network of the tree topology. All of the estimators are proved to be unbiased and consistent instead of asymptotic unbiased as that obtained in…

Information Theory · Computer Science 2015-08-06 Weiping Zhu

We study realizable continual linear regression under random task orderings, a common setting for developing continual learning theory. In this setup, the worst-case expected loss after $k$ learning iterations admits a lower bound of…

Machine Learning · Computer Science 2025-10-28 Ran Levinstein , Amit Attia , Matan Schliserman , Uri Sherman , Tomer Koren , Daniel Soudry , Itay Evron

Gradient boosting performs exceptionally in most prediction problems and scales well to large datasets. In this paper we prove that a ``lassoed'' gradient boosted tree algorithm with early stopping achieves faster than $n^{-1/4}$ L2…

Machine Learning · Statistics 2023-12-12 Alejandro Schuler , Yi Li , Mark van der Laan

The rise of machine learning methods on heavily resource constrained devices requires not only the choice of a suitable model architecture for the target platform, but also the optimization of the chosen model with regard to execution time…

Machine Learning · Computer Science 2024-06-19 Lena Schmid , Daniel Biebert , Christian Hakert , Kuan-Hsun Chen , Michel Lang , Markus Pauly , Jian-Jia Chen

Due to their efficiency and small size, decision trees and random forests are popular machine learning models used for classification on resource-constrained systems. In such systems, the available execution time for inference in a random…

Machine Learning · Computer Science 2026-03-03 Daniel Biebert , Christian Hakert , Kay Heider , Daniel Kuhse , Sebastian Buschjäger , Jian-Jia Chen
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