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Classifiers label data as belonging to one of a set of groups based on input features. It is challenging to obtain accurate classification performance when the feature distributions in the different classes are complex, with nonlinear,…

Machine Learning · Statistics 2021-10-06 Didong Li , David B Dunson

Many popular linear classifiers, such as logistic regression, boosting, or SVM, are trained by optimizing a margin-based risk function. Traditionally, these risk functions are computed based on a labeled dataset. We develop a novel…

Machine Learning · Computer Science 2010-07-23 Krishnakumar Balasubramanian , Pinar Donmez , Guy Lebanon

Unsupervised classification methods learn a discriminative classifier from unlabeled data, which has been proven to be an effective way of simultaneously clustering the data and training a classifier from the data. Various unsupervised…

Machine Learning · Computer Science 2013-05-23 Yingzhen Yang , Thomas S. Huang

Multi-label classification is becoming increasingly ubiquitous, but not much attention has been paid to interpretability. In this paper, we develop a multi-label classifier that can be represented as a concise set of simple "if-then" rules,…

Machine Learning · Computer Science 2022-11-09 Martino Ciaperoni , Han Xiao , Aristides Gionis

Label embedding is a framework for multiclass classification problems where each label is represented by a distinct vector of some fixed dimension, and training involves matching model output to the vector representing the correct label.…

Machine Learning · Computer Science 2025-09-01 Jianxin Zhang , Clayton Scott

This paper studies the problem of novel category discovery on single- and multi-modal data with labels from different but relevant categories. We present a generic, end-to-end framework to jointly learn a reliable representation and assign…

Computer Vision and Pattern Recognition · Computer Science 2021-10-18 Xuhui Jia , Kai Han , Yukun Zhu , Bradley Green

We consider high-dimensional multiclass classification by sparse multinomial logistic regression. Unlike binary classification, in the multiclass setup one can think about an entire spectrum of possible notions of sparsity associated with…

Statistics Theory · Mathematics 2023-01-18 Tomer Levy , Felix Abramovich

In this work, we study a new approach to optimizing the margin distribution realized by binary classifiers. The classical approach to this problem is simply maximization of the expected margin, while more recent proposals consider…

Machine Learning · Statistics 2018-10-12 Matthew J. Holland

We propose a novel Riemannian method for solving the Extreme multi-label classification problem that exploits the geometric structure of the sparse low-dimensional local embedding models. A constrained optimization problem is formulated as…

Optimization and Control · Mathematics 2021-10-01 Jayadev Naram , Tanmay Kumar Sinha , Pawan Kumar

We consider the problem of estimating how well a model class is capable of fitting a distribution of labeled data. We show that it is often possible to accurately estimate this "learnability" even when given an amount of data that is too…

Machine Learning · Computer Science 2019-03-26 Weihao Kong , Gregory Valiant

Recently, learning with soft labels has been shown to achieve better performance than learning with hard labels in terms of model generalization, calibration, and robustness. However, collecting pointwise labeling confidence for all…

Machine Learning · Computer Science 2023-10-10 Wei Wang , Lei Feng , Yuchen Jiang , Gang Niu , Min-Ling Zhang , Masashi Sugiyama

Popular debiased estimation methods for causal inference -- such as augmented inverse propensity weighting and targeted maximum likelihood estimation -- enjoy desirable asymptotic properties like statistical efficiency and double robustness…

Machine Learning · Statistics 2025-09-16 Tiffany Tianhui Cai , Yuri Fonseca , Kaiwen Hou , Hongseok Namkoong

Semi-supervised learning has received increasingly attention in statistics and machine learning. In semi-supervised learning settings, a labeled data set with both outcomes and covariates and an unlabeled data set with covariates only are…

Machine Learning · Statistics 2024-02-26 Zhuojun Quan , Yuanyuan Lin , Kani Chen , Wen Yu

This paper proposes Mutual Information Regularized Assignment (MIRA), a pseudo-labeling algorithm for unsupervised representation learning inspired by information maximization. We formulate online pseudo-labeling as an optimization problem…

Computer Vision and Pattern Recognition · Computer Science 2022-11-07 Dong Hoon Lee , Sungik Choi , Hyunwoo Kim , Sae-Young Chung

This paper considers statistical inference for the explained variance $\beta^{\intercal}\Sigma \beta$ under the high-dimensional linear model $Y=X\beta+\epsilon$ in the semi-supervised setting, where $\beta$ is the regression vector and…

Methodology · Statistics 2020-12-01 T. Tony Cai , Zijian Guo

Label Ranking (LR) corresponds to the problem of learning a hypothesis that maps features to rankings over a finite set of labels. We adopt a nonparametric regression approach to LR and obtain theoretical performance guarantees for this…

Machine Learning · Computer Science 2022-02-11 Dimitris Fotakis , Alkis Kalavasis , Eleni Psaroudaki

We study the problem of bivariate discrete or continuous probability density estimation under low-rank constraints.For discrete distributions, we assume that the two-dimensional array to estimate is a low-rank probability matrix. In the…

Statistics Theory · Mathematics 2024-10-23 Julien Chhor , Olga Klopp , Alexandre Tsybakov

Multi-label ranking maps instances to a ranked set of predicted labels from multiple possible classes. The ranking approach for multi-label learning problems received attention for its success in multi-label classification, with one of the…

Computer Vision and Pattern Recognition · Computer Science 2022-12-09 Emine Dari , V. Bugra Yesilkaynak , Alican Mertan , Gozde Unal

Similarity learning is a general problem to elicit useful representations by predicting the relationship between a pair of patterns. This problem is related to various important preprocessing tasks such as metric learning, kernel learning,…

Machine Learning · Statistics 2022-03-02 Han Bao , Takuya Shimada , Liyuan Xu , Issei Sato , Masashi Sugiyama

We present a method for training multi-label, massively multi-class image classification models, that is faster and more accurate than supervision via a sigmoid cross-entropy loss (logistic regression). Our method consists in embedding…

Computer Vision and Pattern Recognition · Computer Science 2016-07-20 François Chollet