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Related papers: Early Stopping for Regression Trees

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Modern search engine ranking pipelines are commonly based on large machine-learned ensembles of regression trees. We propose LEAR, a novel - learned - technique aimed to reduce the average number of trees traversed by documents to…

Information Retrieval · Computer Science 2021-09-17 Francesco Busolin , Claudio Lucchese , Franco Maria Nardini , Salvatore Orlando , Raffaele Perego , Salvatore Trani

Most computational models of dependency syntax consist of distributions over spanning trees. However, the majority of dependency treebanks require that every valid dependency tree has a single edge coming out of the ROOT node, a constraint…

Computation and Language · Computer Science 2022-11-29 Miloš Stanojević

In machine learning practice, early stopping has been widely used to regularize models and can save computational costs by halting the training process when the model's performance on a validation set stops improving. However, conventional…

Machine Learning · Computer Science 2025-02-12 Suqin Yuan , Runqi Lin , Lei Feng , Bo Han , Tongliang Liu

In overparameterized logistic regression, gradient descent (GD) iterates diverge in norm while converging in direction to the maximum $\ell_2$-margin solution -- a phenomenon known as the implicit bias of GD. This work investigates…

Machine Learning · Computer Science 2025-07-01 Jingfeng Wu , Peter Bartlett , Matus Telgarsky , Bin Yu

Decision trees are a popular technique in statistical data classification. They recursively partition the feature space into disjoint sub-regions until each sub-region becomes homogeneous with respect to a particular class. The basic…

Machine Learning · Statistics 2015-04-15 D. C. Wickramarachchi , B. L. Robertson , M. Reale , C. J. Price , J. Brown

Scaling regression to large datasets is a common problem in many application areas. We propose a two step approach to scaling regression to large datasets. Using a regression tree (CART) to segment the large dataset constitutes the first…

Machine Learning · Statistics 2017-07-26 Rajiv Sambasivan , Sourish Das

Regression trees are a popular machine learning algorithm that fit piecewise constant models by recursively partitioning the predictor space. This paper focuses on statistical inference for a data-dependent model obtained from a fitted…

Methodology · Statistics 2025-12-17 Soham Bakshi , Yiling Huang , Snigdha Panigrahi , Walter Dempsey

While LLMs have seen substantial improvement in reasoning capabilities, they also sometimes overthink, generating unnecessary reasoning steps, particularly under uncertainty, given ill-posed or ambiguous queries. We introduce statistically…

Artificial Intelligence · Computer Science 2026-02-17 Yangxinyu Xie , Tao Wang , Soham Mallick , Yan Sun , Georgy Noarov , Mengxin Yu , Tanwi Mallick , Weijie J. Su , Edgar Dobriban

Classification and Regression Tree (CART), Random Forest (RF) and Gradient Boosting Tree (GBT) are probably the most popular set of statistical learning methods. However, their statistical consistency can only be proved under very…

Statistics Theory · Mathematics 2025-02-17 Haoran Zhan , Yu Liu , Yingcun Xia

We propose a tree-based algorithm for classification and regression problems in the context of functional data analysis, which allows to leverage representation learning and multiple splitting rules at the node level, reducing…

Machine Learning · Statistics 2020-11-03 Edoardo Belli , Simone Vantini

We give the first algorithm that maintains an approximate decision tree over an arbitrary sequence of insertions and deletions of labeled examples, with strong guarantees on the worst-case running time per update request. For instance, we…

Data Structures and Algorithms · Computer Science 2023-02-13 Marco Bressan , Mauro Sozio

Early stopping of iterative algorithms is a widely-used form of regularization in statistics, commonly used in conjunction with boosting and related gradient-type algorithms. Although consistency results have been established in some…

Machine Learning · Statistics 2018-03-15 Yuting Wei , Fanny Yang , Martin J. Wainwright

Decision tree optimization is fundamental to interpretable machine learning. The most popular approach is to greedily search for the best feature at every decision point, which is fast but provably suboptimal. Recent approaches find the…

Machine Learning · Computer Science 2025-11-19 Varun Babbar , Hayden McTavish , Cynthia Rudin , Margo Seltzer

Routing algorithms for public transport, particularly the widely used RAPTOR and its variants, often face performance bottlenecks during the transfer relaxation phase, especially on dense transfer graphs, when supporting unlimited…

Data Structures and Algorithms · Computer Science 2026-05-27 Andrii Rohovyi , Abdallah Abuaisha , Toby Walsh

Recursive decision trees are widely used to estimate heterogeneous causal treatment effects in experimental and observational studies. These methods are typically implemented using CART-type recursive partitioning and are often viewed as…

Statistics Theory · Mathematics 2026-03-19 Matias D. Cattaneo , Jason M. Klusowski , Ruiqi Rae Yu

In the context of tree-search stochastic planning algorithms where a generative model is available, we consider on-line planning algorithms building trees in order to recommend an action. We investigate the question of avoiding re-planning…

Machine Learning · Computer Science 2019-02-14 Erwan Lecarpentier , Guillaume Infantes , Charles Lesire , Emmanuel Rachelson

We investigate the construction of early stopping rules in the nonparametric regression problem where iterative learning algorithms are used and the optimal iteration number is unknown. More precisely, we study the discrepancy principle, as…

Statistics Theory · Mathematics 2020-04-21 Alain Celisse , Martin Wahl

The early stopping strategy consists in stopping the training process of a neural network (NN) on a set $S$ of input data before training error is minimal. The advantage is that the NN then retains good generalization properties, i.e. it…

Machine Learning · Computer Science 2024-12-02 Daniel Martin Xavier , Ludovic Chamoin , Jawher Jerray , Laurent Fribourg

Random forests are an ensemble method relevant for many problems, such as regression or classification. They are popular due to their good predictive performance (compared to, e.g., decision trees) requiring only minimal tuning of…

Methodology · Statistics 2022-10-20 Nikolaus Umlauf , Nadja Klein

Mixed-integer programming (MIP) has emerged as a powerful framework for learning optimal decision trees. Yet, existing MIP approaches for regression tasks are either limited to purely binary features or become computationally intractable…

Machine Learning · Computer Science 2025-10-29 Cristobal Heredia , Pedro Chumpitaz-Flores , Kaixun Hua