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Boosting combines weak (biased) learners to obtain effective learning algorithms for classification and prediction. In this paper, we show a connection between boosting and kernel-based methods, highlighting both theoretical and practical…

Machine Learning · Statistics 2017-04-14 Aleksandr Y. Aravkin , Giulio Bottegal , Gianluigi Pillonetto

We introduce a novel boosting algorithm called `KTBoost' which combines kernel boosting and tree boosting. In each boosting iteration, the algorithm adds either a regression tree or reproducing kernel Hilbert space (RKHS) regression…

Machine Learning · Computer Science 2021-02-09 Fabio Sigrist

Boosting is a learning scheme that combines weak prediction rules to produce a strong composite estimator, with the underlying intuition that one can obtain accurate prediction rules by combining "rough" ones. Although boosting is proved to…

Machine Learning · Computer Science 2015-05-07 Shaobo Lin , Yao Wang , Lin Xu

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

We investigate $L_2$ boosting in the context of kernel regression. Kernel smoothers, in general, lack appealing traits like symmetry and positive definiteness, which are critical not only for understanding theoretical aspects but also for…

Methodology · Statistics 2023-11-14 Suneel Babu Chatla

In this Technical Report we propose a set of improvements with respect to the KernelBoost classifier presented in [Becker et al., MICCAI 2013]. We start with a scheme inspired by Auto-Context, but that is suitable in situations where the…

Computer Vision and Pattern Recognition · Computer Science 2014-08-01 Roberto Rigamonti , Vincent Lepetit , Pascal Fua

We propose a Gradient Boosting algorithm for learning an ensemble of kernel functions adapted to the task at hand. Unlike state-of-the-art Multiple Kernel Learning techniques that make use of a pre-computed dictionary of kernel functions to…

Machine Learning · Statistics 2019-06-17 Léo Gautheron , Pascal Germain , Amaury Habrard , Emilie Morvant , Marc Sebban , Valentina Zantedeschi

In this abstract paper, we introduce a new kernel learning method by a nonparametric density estimator. The estimator consists of a group of k-centroids clusterings. Each clustering randomly selects data points with randomly selected…

Machine Learning · Computer Science 2017-08-02 Xiao-Lei Zhang

Gradient boosting algorithms construct a regression predictor using a linear combination of ``base learners''. Boosting also offers an approach to obtaining robust non-parametric regression estimators that are scalable to applications with…

Methodology · Statistics 2020-08-11 Xiaomeng Ju , Matías Salibián-Barrera

Data quality or data evaluation is sometimes a task as important as collecting a large volume of data when it comes to generating accurate artificial intelligence models. In fact, being able to evaluate the data can lead to a larger…

Machine Learning · Computer Science 2023-05-24 Eloy Anguiano Batanero , Ángela Fernández Pascual , Álvaro Barbero Jiménez

The prosperity of mobile and financial technologies has bred and expanded various kinds of financial products to a broader scope of people, which contributes to advocating financial inclusion. It has non-trivial social benefits of…

Machine Learning · Computer Science 2021-12-17 Yiheng Sun , Tian Lu , Cong Wang , Yuan Li , Huaiyu Fu , Jingran Dong , Yunjie Xu

Gradient boosting is a prediction method that iteratively combines weak learners to produce a complex and accurate model. From an optimization point of view, the learning procedure of gradient boosting mimics a gradient descent on a…

Machine Learning · Computer Science 2022-11-30 Erwan Fouillen , Claire Boyer , Maxime Sangnier

Meta-learning of numerical algorithms for a given task consists of the data-driven identification and adaptation of an algorithmic structure and the associated hyperparameters. To limit the complexity of the meta-learning problem, neural…

Machine Learning · Computer Science 2023-07-07 Danimir T. Doncevic , Alexander Mitsos , Yue Guo , Qianxiao Li , Felix Dietrich , Manuel Dahmen , Ioannis G. Kevrekidis

Gradient boosting, a method of building additive ensembles from weak learners, has established itself as a practical and theoretically-motivated approach to approximate functions, especially using decision tree weak learners. Comparable…

Machine Learning · Computer Science 2026-03-26 Abhijit Chowdhary , Elizabeth Newman , Deepanshu Verma

The scale of transformer model pre-training is constrained by the increasing computation and communication cost. Low-rank bottleneck architectures offer a promising solution to significantly reduce the training time and memory footprint…

Machine Learning · Computer Science 2026-05-13 Zhengyang Wang , Ziyue Liu , Ruijie Zhang , Avinash Maurya , Paul Hovland , Bogdan Nicolae , Franck Cappello , Zheng Zhang

Kernel-based online learning has often shown state-of-the-art performance for many online learning tasks. It, however, suffers from a major shortcoming, that is, the unbounded number of support vectors, making it non-scalable and unsuitable…

Machine Learning · Computer Science 2012-06-22 Peilin Zhao , Jialei Wang , Pengcheng Wu , Rong Jin , Steven C. H. Hoi

Kernel regression is a popular non-parametric fitting technique. It aims at learning a function which estimates the targets for test inputs as precise as possible. Generally, the function value for a test input is estimated by a weighted…

Machine Learning · Computer Science 2017-12-27 Rongqing Huang , Shiliang Sun

We propose two new methods to address the weak scaling problems of KRR: the Balanced KRR (BKRR) and K-means KRR (KKRR). These methods consider alternative ways to partition the input dataset into p different parts, generating p different…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-03 Yang You , James Demmel , Cho-Jui Hsieh , Richard Vuduc

Kernel methods are one of the cornerstones of learning-based control, modern system identification, surrogate modelling, and related fields. A key advantage of this class of learning and function approximation methods is the availability of…

Numerical Analysis · Mathematics 2026-05-20 Tizian Wenzel , Abdullah Tokmak , Christian Fiedler

We propose a novel online learning paradigm for nonlinear-function estimation tasks based on the iterative projections in the L2 space with probability measure reflecting the stochastic property of input signals. The proposed learning…

Signal Processing · Electrical Eng. & Systems 2018-09-13 Motoya Ohnishi , Masahiro Yukawa
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