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We propose a tree-based algorithm for classification and regression problems in the context of functional data analysis, which allows to leverage representation learning and multiple splitting rules at the node level, reducing…

机器学习 · 统计学 2020-11-03 Edoardo Belli , Simone Vantini

A large amount of research effort has been dedicated to adapting boosting for imbalanced classification. However, boosting methods are yet to be satisfactorily immune to class imbalance, especially for multi-class problems. This is because…

计算机视觉与模式识别 · 计算机科学 2024-10-30 Shounak Datta , Sayak Nag , Swagatam Das

Bayesian multinomial logistic regression provides a principled, interpretable approach to multiclass classification, but posterior sampling becomes increasingly expensive as the model dimension grows. Prior work has studied scalability in…

统计计算 · 统计学 2026-02-27 Jared D. Fisher , Kyle R. McEvoy

This paper presents a computationally efficient variant of gradient boosting for multi-class classification and multi-output regression tasks. Standard gradient boosting uses a 1-vs-all strategy for classifications tasks with more than two…

机器学习 · 计算机科学 2024-07-25 Seyedsaman Emami , Gonzalo Martínez-Muñoz

Motivated by problems of anomaly detection, this paper implements the Neyman-Pearson paradigm to deal with asymmetric errors in binary classification with a convex loss. Given a finite collection of classifiers, we combine them and obtain a…

机器学习 · 统计学 2011-03-01 Philippe Rigollet , Xin Tong

We study the behavior of error bounds for multiclass classification under suitable margin conditions. For a wide variety of methods we prove that the classification error under a hard-margin condition decreases exponentially fast without…

机器学习 · 统计学 2022-02-04 Stefano Vigogna , Giacomo Meanti , Ernesto De Vito , Lorenzo Rosasco

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…

机器学习 · 计算机科学 2020-04-02 Jinshan Zeng , Min Zhang , Shao-Bo Lin

We study classification problems using binary estimators where the decision boundary is described by horizon functions and where the data distribution satisfies a geometric margin condition. A key novelty of our work is the derivation of…

机器学习 · 统计学 2026-03-16 Jonathan García , Philipp Petersen

Boosting is a generic learning method for classification and regression. Yet, as the number of base hypotheses becomes larger, boosting can lead to a deterioration of test performance. Overfitting is an important and ubiquitous phenomenon,…

机器学习 · 统计学 2015-10-12 Chu Wang , Yingfei Wang , Weinan E , Robert Schapire

Boosting is a popular algorithm in supervised machine learning with wide applications in regression and classification problems. It combines weak learners, such as regression trees, to obtain accurate predictions. However, in the presence…

统计计算 · 统计学 2025-02-06 Zhu Wang

Black-box optimization problems often require simultaneously optimizing different types of variables, such as continuous, integer, and categorical variables. Unlike integer variables, categorical variables do not necessarily have a…

神经与进化计算 · 计算机科学 2025-05-22 Ryoki Hamano , Shota Saito , Masahiro Nomura , Kento Uchida , Shinichi Shirakawa

In binary classification and regression problems, it is well understood that Lipschitz continuity and smoothness of the loss function play key roles in governing generalization error bounds for empirical risk minimization algorithms. In…

机器学习 · 计算机科学 2016-09-14 Ambuj Tewari , Sougata Chaudhuri

We consider the decision-making framework of online convex optimization with a very large number of experts. This setting is ubiquitous in contextual and reinforcement learning problems, where the size of the policy class renders…

机器学习 · 计算机科学 2021-02-19 Elad Hazan , Karan Singh

Minimizing inconsistencies across successive versions of an AI system is as crucial as reducing the overall error. In image classification, such inconsistencies manifest as negative flips, where an updated model misclassifies test samples…

计算机视觉与模式识别 · 计算机科学 2025-11-18 Simone Ricci , Niccolò Biondi , Federico Pernici , Alberto Del Bimbo

Boosting methods combine a set of moderately accurate weaklearners to form a highly accurate predictor. Despite the practical importance of multi-class boosting, it has received far less attention than its binary counterpart. In this work,…

机器学习 · 计算机科学 2012-10-18 Chunhua Shen , Sakrapee Paisitkriangkrai , Anton van den Hengel

Ensemble learning has achieved remarkable success in machine learning, but its reliance on numerous base learners limits its application in resource-constrained environments. This paper introduces an innovative "Margin-Maximizing…

机器学习 · 计算机科学 2024-09-20 Jinghui Yuan , Hao Chen , Renwei Luo , Feiping Nie

We unify f-divergences, Bregman divergences, surrogate loss bounds (regret bounds), proper scoring rules, matching losses, cost curves, ROC-curves and information. We do this by systematically studying integral and variational…

机器学习 · 统计学 2009-01-06 Mark D. Reid , Robert C. Williamson

One of the main challenges for feature representation in deep learning-based classification is the design of appropriate loss functions that exhibit strong discriminative power. The classical softmax loss does not explicitly encourage…

计算机视觉与模式识别 · 计算机科学 2022-06-24 Xiong Zhou , Xianming Liu , Deming Zhai , Junjun Jiang , Xin Gao , Xiangyang Ji

We present a new loss function called Distribution-Balanced Loss for the multi-label recognition problems that exhibit long-tailed class distributions. Compared to conventional single-label classification problem, multi-label recognition…

计算机视觉与模式识别 · 计算机科学 2021-12-07 Tong Wu , Qingqiu Huang , Ziwei Liu , Yu Wang , Dahua Lin

In real-world applications of multi-class classification models, misclassification in an important class (e.g., stop sign) can be significantly more harmful than in other classes (e.g., speed limit). In this paper, we propose a loss…

机器学习 · 计算机科学 2024-06-03 Daiki Nishiyama , Kazuto Fukuchi , Youhei Akimoto , Jun Sakuma