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The principle of boosting in supervised learning involves combining multiple weak classifiers to obtain a stronger classifier. AdaBoost has the reputation to be a perfect example of this approach. This study analyzes the (two classes)…

Machine Learning · Computer Science 2024-02-08 Jean-Marc Brossier , Olivier Lafitte , Lenny Réthoré

In this paper, we propose a unified primal-dual algorithm framework based on the augmented Lagrangian function for composite convex problems with conic inequality constraints. The new framework is highly versatile. First, it not only covers…

Optimization and Control · Mathematics 2022-08-31 Zhenyuan Zhu , Fan Chen , Junyu Zhang , Zaiwen Wen

Using machine learning to solve combinatorial optimization (CO) problems is challenging, especially when the data is unlabeled. This work proposes an unsupervised learning framework for CO problems. Our framework follows a standard…

Machine Learning · Computer Science 2022-10-25 Haoyu Wang , Nan Wu , Hang Yang , Cong Hao , Pan Li

We propose a Coefficient-to-Basis Network (C2BNet), a novel framework for solving inverse problems within the operator learning paradigm. C2BNet efficiently adapts to different discretizations through fine-tuning, using a pre-trained model…

Machine Learning · Computer Science 2025-03-12 Zecheng Zhang , Hao Liu , Wenjing Liao , Guang Lin

Machine learning systems based on minimizing average error have been shown to perform inconsistently across notable subsets of the data, which is not exposed by a low average error for the entire dataset. In consequential social and…

Machine Learning · Computer Science 2021-06-18 Agnieszka Słowik , Léon Bottou

In this paper, we explore advanced modifications to the Tweedie regression model in order to address its limitations in modeling aggregate claims for various types of insurance such as automobile, health, and liability. Traditional Tweedie…

Machine Learning · Computer Science 2024-10-29 Banghee So , Emiliano A. Valdez

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

Owing to their statistical properties, non-convex sparse regularizers have attracted much interest for estimating a sparse linear model from high dimensional data. Given that the solution is sparse, for accelerating convergence, a working…

Machine Learning · Computer Science 2021-10-22 Alain Rakotomamonjy , Rémi Flamary , Gilles Gasso , Joseph Salmon

Robust Optimization has traditionally taken a pessimistic, or worst-case viewpoint of uncertainty which is motivated by a desire to find sets of optimal policies that maintain feasibility under a variety of operating conditions. In this…

Machine Learning · Statistics 2017-11-22 Matthew Norton , Akiko Takeda , Alexander Mafusalov

We present a new online boosting algorithm for adapting the weights of a boosted classifier, which yields a closer approximation to Freund and Schapire's AdaBoost algorithm than previous online boosting algorithms. We also contribute a new…

Machine Learning · Statistics 2008-10-28 Raphael Pelossof , Michael Jones , Ilia Vovsha , Cynthia Rudin

In classical machine learning, a set of weak classifiers can be adaptively combined to form a strong classifier for improving the overall performance, a technique called adaptive boosting (or AdaBoost). However, constructing the strong…

Quantum Physics · Physics 2019-02-05 Ximing Wang , Yuechi Ma , Min-Hsiu Hsieh , Manhong Yung

In this paper, we present a generic framework that allows accelerating almost arbitrary non-accelerated deterministic and randomized algorithms for smooth convex optimization problems. The main approach of our envelope is the same as in…

Optimization and Control · Mathematics 2021-03-09 Anastasiya Ivanova , Dmitry Pasechnyuk , Dmitry Grishchenko , Egor Shulgin , Alexander Gasnikov , Vladislav Matyukhin

Gradient Boosting Decision Trees (GBDTs) dominate tabular machine learning, with modern implementations like XGBoost, LightGBM, and CatBoost being based on Newton boosting: a second-order descent step in the space of decision trees. Despite…

Machine Learning · Statistics 2026-05-04 Nikita Zozoulenko , Daniel Falkowski , Thomas Cass , Lukas Gonon

We study online learning problems in which a decision maker has to take a sequence of decisions subject to $m$ long-term constraints. The goal of the decision maker is to maximize their total reward, while at the same time achieving small…

Machine Learning · Computer Science 2022-09-16 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Giulia Romano , Nicola Gatti

Recent works on the parallel complexity of Boosting have established strong lower bounds on the tradeoff between the number of training rounds $p$ and the total parallel work per round $t$. These works have also presented highly non-trivial…

Machine Learning · Computer Science 2025-09-03 Arthur da Cunha , Mikael Møller Høgsgaard , Kasper Green Larsen

We propose an extended primal-dual algorithm framework for solving a general nonconvex optimization model. This work is motivated by image reconstruction problems in a class of nonlinear imaging, where the forward operator can be formulated…

Optimization and Control · Mathematics 2024-08-28 Yu Gao , Xiaochuan Pan , Chong Chen

Gradient boosting for decision tree algorithms are increasingly used in actuarial applications as they show superior predictive performance over traditional generalised linear models. Many enhancements to the first gradient boosting machine…

Machine Learning · Statistics 2025-08-05 Dominik Chevalier , Marie-Pier Côté

Many real-world problems involve massive amounts of data. Under these circumstances learning algorithms often become prohibitively expensive, making scalability a pressing issue to be addressed. A common approach is to perform sampling to…

Machine Learning · Computer Science 2015-08-10 Uday Kamath , Carlotta Domeniconi , Kenneth De Jong

Traditional statistical and machine learning methods typically assume that the training and test data follow the same distribution. However, this assumption is frequently violated in real-world applications, where the training data in the…

Methodology · Statistics 2025-07-08 Hanxuan Ye , Hongzhe Li

Adaptive regularization methods pre-multiply a descent direction by a preconditioning matrix. Due to the large number of parameters of machine learning problems, full-matrix preconditioning methods are prohibitively expensive. We show how…

Machine Learning · Computer Science 2020-11-19 Naman Agarwal , Brian Bullins , Xinyi Chen , Elad Hazan , Karan Singh , Cyril Zhang , Yi Zhang