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The ultimate goal of a supervised learning algorithm is to produce models constructed on the training data that can generalize well to new examples. In classification, functional margin maximization -- correctly classifying as many training…

Machine Learning · Computer Science 2020-01-29 Nikolaos Nikolaou , Henry Reeve , Gavin Brown

Recently, there has been much interest in finding globally optimal Bayesian network structures. These techniques were developed for generative scores and can not be directly extended to discriminative scores, as desired for classification.…

Machine Learning · Computer Science 2012-07-03 Robert Peharz , Franz Pernkopf

Due to myriads of classes, designing accurate and efficient classifiers becomes very challenging for multi-class classification. Recent research has shown that class structure learning can greatly facilitate multi-class learning. In this…

Machine Learning · Computer Science 2012-02-20 Jian-Bo Yang , Ivor W. Tsang

Current statistical models for structured prediction make simplifying assumptions about the underlying output graph structure, such as assuming a low-order Markov chain, because exact inference becomes intractable as the tree-width of the…

Machine Learning · Computer Science 2010-03-26 Xu Miao , Rajesh P. N. Rao

In this paper, we propose a new max-margin based discriminative feature learning method. Specifically, we aim at learning a low-dimensional feature representation, so as to maximize the global margin of the data and make the samples from…

Machine Learning · Computer Science 2017-04-04 Changsheng Li , Qingshan Liu , Weishan Dong , Xin Zhang , Lin Yang

Max-margin methods for binary classification such as the support vector machine (SVM) have been extended to the structured prediction setting under the name of max-margin Markov networks ($M^3N$), or more generally structural SVMs.…

Machine Learning · Computer Science 2020-07-29 Alex Nowak-Vila , Francis Bach , Alessandro Rudi

In this paper, we propose a novel image set representation and classification method by maximizing the margin of image sets. The margin of an image set is defined as the difference of the distance to its nearest image set from different…

Computer Vision and Pattern Recognition · Computer Science 2014-04-23 Jim Jing-Yan Wang , Majed Alzahrani , Xin Gao

We prove bounds on the population risk of the maximum margin algorithm for two-class linear classification. For linearly separable training data, the maximum margin algorithm has been shown in previous work to be equivalent to a limit of…

Machine Learning · Statistics 2021-06-03 Niladri S. Chatterji , Philip M. Long

We obtain a tight distribution-specific characterization of the sample complexity of large-margin classification with L2 regularization: We introduce the margin-adapted dimension, which is a simple function of the second order statistics of…

Machine Learning · Statistics 2013-09-19 Sivan Sabato , Nathan Srebro , Naftali Tishby

Many statistical learning problems in the area of natural language processing including sequence tagging, sequence segmentation and syntactic parsing has been successfully approached by means of structured prediction methods. An appealing…

Computation and Language · Computer Science 2017-09-11 Alexander Bauer , Shinichi Nakajima , Nico Görnitz , Klaus-Robert Müller

We derive a new margin-based regularization formulation, termed multi-margin regularization (MMR), for deep neural networks (DNNs). The MMR is inspired by principles that were applied in margin analysis of shallow linear classifiers, e.g.,…

Machine Learning · Computer Science 2020-09-15 Berry Weinstein , Shai Fine , Yacov Hel-Or

Link prediction is a fundamental task in statistical network analysis. Recent advances have been made on learning flexible nonparametric Bayesian latent feature models for link prediction. In this paper, we present a max-margin learning…

Machine Learning · Computer Science 2016-02-25 Jun Zhu , Jiaming Song , Bei Chen

In recent years, there has been growing attention to interpretable machine learning models which can give explanatory insights on their behaviour. Thanks to their interpretability, decision trees have been intensively studied for…

Optimization and Control · Mathematics 2023-10-10 Federico D'Onofrio , Giorgio Grani , Marta Monaci , Laura Palagi

Learning a regression function using censored or interval-valued output data is an important problem in fields such as genomics and medicine. The goal is to learn a real-valued prediction function, and the training output labels indicate an…

Machine Learning · Statistics 2017-10-30 Alexandre Drouin , Toby Dylan Hocking , François Laviolette

We consider the problem of best subset selection (BSS) under high-dimensional sparse linear regression model. Recently, Guo et al. (2020) showed that the model selection performance of BSS depends on a certain identifiability margin, a…

Statistics Theory · Mathematics 2025-04-15 Saptarshi Roy , Ambuj Tewari , Ziwei Zhu

Taxonomic classification of ecological families, genera, and species underpins biodiversity monitoring and conservation. Existing computer vision methods typically address fine-grained recognition and long-tailed learning in isolation.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Cheng Yaw Low , Heejoon Koo , Jaewoo Park , Meeyoung Cha

Unsupervised feature selection has been always attracting research attention in the communities of machine learning and data mining for decades. In this paper, we propose an unsupervised feature selection method seeking a feature…

Machine Learning · Computer Science 2015-06-04 Sen Wang , Feiping Nie , Xiaojun Chang , Lina Yao , Xue Li , Quan Z. Sheng

The need for consistent treatment of uncertainty has recently triggered increased interest in probabilistic deep learning methods. However, most current approaches have severe limitations when it comes to inference, since many of these…

Learning structured models using maximum margin techniques has become an indispensable tool for com- puter vision researchers, as many computer vision applications can be cast naturally as an image labeling problem. Pixel-based or…

Machine Learning · Computer Science 2013-09-17 Andreas Christian Mueller , Sven Behnke

The centrality and diversity of the labeled data are very influential to the performance of semi-supervised learning (SSL), but most SSL models select the labeled data randomly. This study first construct a leading forest that forms a…

Artificial Intelligence · Computer Science 2022-10-11 Ji Xu , Gang Ren , Yao Xiao , Shaobo Li , Guoyin Wang
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