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We propose several deep-learning accelerated optimization solvers with convergence guarantees. We use ideas from the analysis of accelerated forward-backward schemes like FISTA, but instead of the classical approach of proving convergence…

Optimization and Control · Mathematics 2021-05-12 Sebastian Banert , Jevgenija Rudzusika , Ozan Öktem , Jonas Adler

Gradient boosting from the field of statistical learning is widely known as a powerful framework for estimation and selection of predictor effects in various regression models by adapting concepts from classification theory. Current…

Methodology · Statistics 2020-11-03 Colin Griesbach , Benjamin Säfken , Elisabeth Waldmann

First-order methods for solving convex optimization problems have been at the forefront of mathematical optimization in the last 20 years. The rapid development of this important class of algorithms is motivated by the success stories…

Optimization and Control · Mathematics 2021-01-07 Pavel Dvurechensky , Mathias Staudigl , Shimrit Shtern

Variational inference is a popular technique to approximate a possibly intractable Bayesian posterior with a more tractable one. Recently, boosting variational inference has been proposed as a new paradigm to approximate the posterior by a…

Machine Learning · Computer Science 2018-03-08 Francesco Locatello , Rajiv Khanna , Joydeep Ghosh , Gunnar Rätsch

We study three classical machine learning algorithms in the context of algorithmic fairness: adaptive boosting, support vector machines, and logistic regression. Our goal is to maintain the high accuracy of these learning algorithms while…

Machine Learning · Computer Science 2016-01-22 Benjamin Fish , Jeremy Kun , Ádám D. Lelkes

We design a randomised parallel version of Adaboost based on previous studies on parallel coordinate descent. The algorithm uses the fact that the logarithm of the exponential loss is a function with coordinate-wise Lipschitz continuous…

Machine Learning · Computer Science 2017-04-14 Olivier Fercoq

Standard results in stochastic convex optimization bound the number of samples that an algorithm needs to generate a point with small function value in expectation. More nuanced high probability guarantees are rare, and typically either…

Optimization and Control · Mathematics 2019-10-18 Damek Davis , Dmitriy Drusvyatskiy , Lin Xiao , Junyu Zhang

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

Multicalibration gradient boosting has recently emerged as a scalable method that empirically produces approximately multicalibrated predictors and has been deployed at web scale. Despite this empirical success, its convergence properties…

Machine Learning · Computer Science 2026-02-09 Daniel Haimovich , Fridolin Linder , Lorenzo Perini , Niek Tax , Milan Vojnovic

In traditional boosting algorithms, the focus on misclassified training samples emphasizes their importance based on difficulty during the learning process. While using a standard Support Vector Machine (SVM) as a weak learner in an…

Machine Learning · Computer Science 2024-10-10 Junbo Jacob Lian

Optimisers are an essential component for training machine learning models, and their design influences learning speed and generalisation. Several studies have attempted to learn more effective gradient-descent optimisers via solving a…

Machine Learning · Computer Science 2022-03-08 Boyan Gao , Henry Gouk , Hae Beom Lee , Timothy M. Hospedales

Intensive care data are valuable for improvement of health care, policy making and many other purposes. Vast amount of such data are stored in different locations, on many different devices and in different data silos. Sharing data among…

Machine Learning · Computer Science 2020-08-13 Li Huang , Yifeng Yin , Zeng Fu , Shifa Zhang , Hao Deng , Dianbo Liu

Consideration of the primal and dual problems together leads to important new insights into the characteristics of boosting algorithms. In this work, we propose a general framework that can be used to design new boosting algorithms. A wide…

Artificial Intelligence · Computer Science 2011-12-13 Chunhua Shen , Hanxi Li , Nick Barnes

We study the connection between multicalibration and boosting for squared error regression. First we prove a useful characterization of multicalibration in terms of a ``swap regret'' like condition on squared error. Using this…

Machine Learning · Computer Science 2023-02-01 Ira Globus-Harris , Declan Harrison , Michael Kearns , Aaron Roth , Jessica Sorrell

Class imbalance classification is a challenging research problem in data mining and machine learning, as most of the real-life datasets are often imbalanced in nature. Existing learning algorithms maximise the classification accuracy by…

Machine Learning · Computer Science 2018-09-05 Farshid Rayhan , Sajid Ahmed , Asif Mahbub , Md. Rafsan Jani , Swakkhar Shatabda , Dewan Md. Farid

Stochastic gradient descent method and its variants constitute the core optimization algorithms that achieve good convergence rates for solving machine learning problems. These rates are obtained especially when these algorithms are…

Machine Learning · Computer Science 2024-03-14 S. Ilker Birbil , Ozgur Martin , Gonenc Onay , Figen Oztoprak

We study three families of online convex optimization algorithms: follow-the-proximally-regularized-leader (FTRL-Proximal), regularized dual averaging (RDA), and composite-objective mirror descent. We first prove equivalence theorems that…

Machine Learning · Computer Science 2011-09-21 H. Brendan McMahan

As a prevalent distributed learning paradigm, Federated Learning (FL) trains a global model on a massive amount of devices with infrequent communication. This paper investigates a class of composite optimization and statistical recovery…

Machine Learning · Computer Science 2022-10-04 Yajie Bao , Michael Crawshaw , Shan Luo , Mingrui Liu

AdaBoost is a classic boosting algorithm for combining multiple inaccurate classifiers produced by a weak learner, to produce a strong learner with arbitrarily high accuracy when given enough training data. Determining the optimal number of…

Machine Learning · Computer Science 2025-08-12 Mikael Møller Høgsgaard , Kasper Green Larsen , Martin Ritzert

Recent advances (Sherman, 2017; Sidford and Tian, 2018; Cohen et al., 2021) have overcome the fundamental barrier of dimension dependence in the iteration complexity of solving $\ell_\infty$ regression with first-order methods. Yet it…

Optimization and Control · Mathematics 2025-06-18 Cedar Site Bai , Brian Bullins
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