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In this paper, we investigate the theoretical and empirical properties of $L_2$ boosting with kernel regression estimates as weak learners. We show that each step of $L_2$ boosting reduces the bias of the estimate by two orders of…

Statistics Theory · Mathematics 2009-09-07 B. U. Park , Y. K. Lee , S. Ha

It is known that Boosting can be interpreted as a gradient descent technique to minimize an underlying loss function. Specifically, the underlying loss being minimized by the traditional AdaBoost is the exponential loss, which is proved to…

Computer Vision and Pattern Recognition · Computer Science 2017-06-26 Kaidong Wang , Yao Wang , Qian Zhao , Deyu Meng , Zongben Xu

We present a new procedure for enhanced variable selection for component-wise gradient boosting. Statistical boosting is a computational approach that emerged from machine learning, which allows to fit regression models in the presence of…

Alongside the well-publicized accomplishments of deep neural networks there has emerged an apparent bug in their success on tasks such as object recognition: with deep models trained using vanilla methods, input images can be slightly…

Machine Learning · Computer Science 2021-03-04 Jacob Abernethy , Pranjal Awasthi , Satyen Kale

We consider the problem of boosting the accuracy of weak learning algorithms in the agnostic learning framework of Haussler (1992) and Kearns et al. (1992). Known algorithms for this problem (Ben-David et al., 2001; Gavinsky, 2002; Kalai et…

Machine Learning · Computer Science 2012-02-22 Vitaly Feldman

Reducing reinforcement learning to supervised learning is a well-studied and effective approach that leverages the benefits of compact function approximation to deal with large-scale Markov decision processes. Independently, the boosting…

Machine Learning · Computer Science 2023-01-26 Nataly Brukhim , Elad Hazan , Karan Singh

A lot of approaches, each following a different strategy, have been proposed in the literature to provide AdaBoost with cost-sensitive properties. In the first part of this series of two papers, we have presented these algorithms in a…

Computer Vision and Pattern Recognition · Computer Science 2016-07-25 Iago Landesa-Vázquez , José Luis Alba-Castro

In multi-label classification, where a single example may be associated with several class labels at the same time, the ability to model dependencies between labels is considered crucial to effectively optimize non-decomposable evaluation…

Machine Learning · Computer Science 2021-06-23 Michael Rapp , Eneldo Loza Mencía , Johannes Fürnkranz , Eyke Hüllermeier

Weakly-supervised learning (WSL) has shown promising results in addressing label scarcity on many NLP tasks, but manually designing a comprehensive, high-quality labeling rule set is tedious and difficult. We study interactive…

Computation and Language · Computer Science 2022-03-21 Rongzhi Zhang , Yue Yu , Pranav Shetty , Le Song , Chao Zhang

We study the task of online boosting--combining online weak learners into an online strong learner. While batch boosting has a sound theoretical foundation, online boosting deserves more study from the theoretical perspective. In this…

Machine Learning · Computer Science 2012-07-03 Shang-Tse Chen , Hsuan-Tien Lin , Chi-Jen Lu

We consider the multi-label ranking approach to multi-label learning. Boosting is a natural method for multi-label ranking as it aggregates weak predictions through majority votes, which can be directly used as scores to produce a ranking…

Machine Learning · Statistics 2018-02-27 Young Hun Jung , Ambuj Tewari

ATPboost is a system for solving sets of large-theory problems by interleaving ATP runs with state-of-the-art machine learning of premise selection from the proofs. Unlike many previous approaches that use multi-label setting, the learning…

Artificial Intelligence · Computer Science 2018-02-12 Bartosz Piotrowski , Josef Urban

We consider adversarially robust classification in a multiclass setting under arbitrary loss functions and derive dual and barycentric reformulations of the corresponding learner-agnostic robust risk minimization problem. We provide…

Machine Learning · Computer Science 2025-10-03 Camilo Andrés García Trillos , Nicolás García Trillos

Structured additive distributional copula regression allows to model the joint distribution of multivariate outcomes by relating all distribution parameters to covariates. Estimation via statistical boosting enables accounting for…

Continual learning is inherently a constrained learning problem. The goal is to learn a predictor under a no-forgetting requirement. Although several prior studies formulate it as such, they do not solve the constrained problem explicitly.…

Machine Learning · Computer Science 2024-06-03 Juan Elenter , Navid NaderiAlizadeh , Tara Javidi , Alejandro Ribeiro

Boosting is a well-known method for improving the accuracy of weak learners in machine learning. However, its theoretical generalization guarantee is missing in literature. In this paper, we propose an efficient boosting method with…

Machine Learning · Computer Science 2020-04-02 Jinshan Zeng , Min Zhang , Shao-Bo Lin

Efforts to address declining accuracy as a result of data shifts often involve various data-augmentation strategies. Adversarial training is one such method, designed to improve robustness to worst-case distribution shifts caused by…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Fatemeh Amerehi , Patrick Healy

This work studies the behavior of shallow ReLU networks trained with the logistic loss via gradient descent on binary classification data where the underlying data distribution is general, and the (optimal) Bayes risk is not necessarily…

Machine Learning · Computer Science 2021-11-05 Ziwei Ji , Justin D. Li , Matus Telgarsky

Two popular boosted decsion tree (BDT) methods, Adaptive BDT (AdaBDT) and Gradient BDT (GradBDT) are studied in the classification problem of separating signal from background assuming all trees are weak learners. The following results are…

Data Analysis, Statistics and Probability · Physics 2018-11-13 Li-Gang Xia

This paper examines the role and efficiency of the non-convex loss functions for binary classification problems. In particular, we investigate how to design a simple and effective boosting algorithm that is robust to the outliers in the…

Machine Learning · Statistics 2017-08-25 Alexander Hanbo Li , Jelena Bradic