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Cohen et al. (arXiv:2207.14484) observed that adaptive gradient methods such as Adam operate at the edge of stability. While there has been significant work on continuous-time modeling of gradient descent at the edge of stability, extending…

机器学习 · 计算机科学 2026-05-11 Eric Regis , Sinho Chewi

Boosting algorithms have been widely used to tackle a plethora of problems. In the last few years, a lot of approaches have been proposed to provide standard AdaBoost with cost-sensitive capabilities, each with a different focus. However,…

计算机视觉与模式识别 · 计算机科学 2016-07-25 Iago Landesa-Vázquez , José Luis Alba-Castro

Well-known for its simplicity and effectiveness in classification, AdaBoost, however, suffers from overfitting when class-conditional distributions have significant overlap. Moreover, it is very sensitive to noise that appears in the…

机器学习 · 统计学 2018-06-22 Zhi Xiao , Zhe Luo , Bo Zhong , Xin Dang

We consider the Schr\"odinger bridge problem which, given ensemble measurements of the initial and final configurations of a stochastic dynamical system and some prior knowledge on the dynamics, aims to reconstruct the "most likely"…

机器学习 · 统计学 2026-02-04 Stephen Y. Zhang , Michael P H Stumpf

Adaptive Boosting (AdaBoost) faces significant challenges posed by label noise, especially in multiclass classification tasks. Existing methods either lack mechanisms to handle label noise effectively or suffer from high computational costs…

机器学习 · 计算机科学 2025-06-18 Qin Xie , Qinghua Zhang , Shuyin Xia , Xinran Zhou , Guoyin Wang

We provide the first polynomial-time convergence guarantees for the probability flow ODE implementation (together with a corrector step) of score-based generative modeling. Our analysis is carried out in the wake of recent results obtaining…

机器学习 · 计算机科学 2023-05-22 Sitan Chen , Sinho Chewi , Holden Lee , Yuanzhi Li , Jianfeng Lu , Adil Salim

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…

机器学习 · 统计学 2008-10-28 Raphael Pelossof , Michael Jones , Ilia Vovsha , Cynthia Rudin

We propose AdaFamily, a novel method for training deep neural networks. It is a family of adaptive gradient methods and can be interpreted as sort of a blend of the optimization algorithms Adam, AdaBelief and AdaMomentum. We perform…

机器学习 · 计算机科学 2022-03-04 Hannes Fassold

Adaptive gradient optimizers (AdaGrad), which dynamically adjust the learning rate based on iterative gradients, have emerged as powerful tools in deep learning. These adaptive methods have significantly succeeded in various deep learning…

最优化与控制 · 数学 2024-12-31 Ruinan Jin , Xiaoyu Wang , Baoxiang Wang

In this paper, we derive a novel probabilistic model of boosting as a Product of Experts. We re-derive the boosting algorithm as a greedy incremental model selection procedure which ensures that addition of new experts to the ensemble does…

机器学习 · 计算机科学 2012-02-20 Narayanan U. Edakunni , Gary Brown , Tim Kovacs

One of the most popular ML algorithms, AdaBoost, can be derived from the dual of a relative entropy minimization problem subject to the fact that the positive weights on the examples sum to one. Essentially, harder examples receive higher…

机器学习 · 计算机科学 2023-06-12 Richard Nock , Ehsan Amid , Manfred K. Warmuth

We describe and analyze a new boosting algorithm for deep learning called SelfieBoost. Unlike other boosting algorithms, like AdaBoost, which construct ensembles of classifiers, SelfieBoost boosts the accuracy of a single network. We prove…

机器学习 · 统计学 2017-04-11 Shai Shalev-Shwartz

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…

机器学习 · 计算机科学 2025-08-12 Mikael Møller Høgsgaard , Kasper Green Larsen , Martin Ritzert

Gradient tree boosting is a prediction algorithm that sequentially produces a model in the form of linear combinations of decision trees, by solving an infinite-dimensional optimization problem. We combine gradient boosting and Nesterov's…

机器学习 · 统计学 2018-03-07 Gérard Biau , Benoît Cadre , Laurent Rouvìère

We study boosting algorithms from a new perspective. We show that the Lagrange dual problems of AdaBoost, LogitBoost and soft-margin LPBoost with generalized hinge loss are all entropy maximization problems. By looking at the dual problems…

机器学习 · 计算机科学 2023-05-30 Chunhua Shen , Hanxi Li

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)…

机器学习 · 计算机科学 2024-02-08 Jean-Marc Brossier , Olivier Lafitte , Lenny Réthoré

In this paper we introduce a flow to study the Toda system, which we call {\it Toda flow.} More generally, we introduce a flow of the Liouville systems, formulated as a coupled parabolic system with nonlocal interactions. Finite-time…

微分几何 · 数学 2026-02-25 Yong Luo , Linlin Sun , Guofang Wang

Boosting is one of the most significant advances in machine learning for classification and regression. In its original and computationally flexible version, boosting seeks to minimize empirically a loss function in a greedy fashion. The…

统计理论 · 数学 2007-06-13 Tong Zhang , Bin Yu

The following work is a preprint collection of formal proofs regarding the convergence properties of the AdaBoost machine learning algorithm's classifier and margins. Various math and computer science papers have been written regarding…

机器学习 · 统计学 2023-10-17 Conor Snedeker

Boosting is a general method to convert a weak learner (which generates hypotheses that are just slightly better than random) into a strong learner (which generates hypotheses that are much better than random). Recently, Arunachalam and…

量子物理 · 物理学 2020-09-18 Adam Izdebski , Ronald de Wolf