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Multiclass prediction is the problem of classifying an object into a relevant target class. We consider the problem of learning a multiclass predictor that uses only few features, and in particular, the number of used features should…

Machine Learning · Computer Science 2011-09-06 Shai Shalev-Shwartz , Yonatan Wexler , Amnon Shashua

Class imbalance in real-world data poses a common bottleneck for machine learning tasks, since achieving good generalization on under-represented examples is often challenging. Mitigation strategies, such as under or oversampling the data…

Disordered Systems and Neural Networks · Physics 2025-02-03 Emanuele Loffredo , Mauro Pastore , Simona Cocco , Rémi Monasson

Principal component analysis continues to be a powerful tool in dimension reduction of high dimensional data. We assume a variance-diverging model and use the high-dimension, low-sample-size asymptotics to show that even though the…

Statistics Theory · Mathematics 2020-09-28 Sungkyu Jung

We investigate multi-label classification involving large sets of labels, where the output labels may be known to satisfy some logical constraints. We look at an architecture in which classifiers for individual labels are fed into an…

Machine Learning · Computer Science 2025-07-22 Mykhailo Buleshnyi , Anna Polova , Zsolt Zombori , Michael Benedikt

Excessive reuse of holdout data can lead to overfitting. However, there is little concrete evidence of significant overfitting due to holdout reuse in popular multiclass benchmarks today. Known results show that, in the worst-case,…

Machine Learning · Computer Science 2019-05-27 Vitaly Feldman , Roy Frostig , Moritz Hardt

High dimensional statistical problems arise from diverse fields of scientific research and technological development. Variable selection plays a pivotal role in contemporary statistical learning and scientific discoveries. The traditional…

Statistics Theory · Mathematics 2009-10-08 Jianqing Fan , Jinchi Lv

We introduce a very general method for high-dimensional classification, based on careful combination of the results of applying an arbitrary base classifier to random projections of the feature vectors into a lower-dimensional space. In one…

Methodology · Statistics 2017-06-06 Timothy I. Cannings , Richard J. Samworth

Class imbalance poses a significant challenge to supervised classification, particularly in critical domains like medical diagnostics and anomaly detection where minority class instances are rare. While numerous studies have explored…

Machine Learning · Computer Science 2025-09-10 Ali Nawaz , Amir Ahmad , Shehroz S. Khan

Object detection is an important task in computer vision which serves a lot of real-world applications such as autonomous driving, surveillance and robotics. Along with the rapid thrive of large-scale data, numerous state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2020-06-03 Trong Huy Phan , Kazuma Yamamoto

Multi-label classification consists in classifying an instance into two or more classes simultaneously. It is a very challenging task present in many real-world applications, such as classification of biology, image, video, audio, and text.…

Machine Learning · Computer Science 2020-04-03 Thiago Zafalon Miranda , Diorge Brognara Sardinha , Márcio Porto Basgalupp , Yaochu Jin , Ricardo Cerri

The multiple-biomarker classifier problem and its assessment are reviewed against the background of some fundamental principles from the field of statistical pattern recognition, machine learning, or the recently so-called "data science". A…

Genomics · Quantitative Biology 2019-11-01 Waleed A. Yousef

Classification is a fundamental problem in machine learning and data mining. During the past decades, numerous classification methods have been presented based on different principles. However, most existing classifiers cast the…

Machine Learning · Computer Science 2019-04-23 Zengyou He , Chaohua Sheng , Yan Liu , Quan Zou

Model selection consistency in the high-dimensional regression setting can be achieved only if strong assumptions are fulfilled. We therefore suggest to pursue a different goal, which we call a minimal class of models. The minimal class of…

Methodology · Statistics 2015-11-26 Daniel Nevo , Ya'acov Ritov

A complementary label (CL) simply indicates an incorrect class of an example, but learning with CLs results in multi-class classifiers that can predict the correct class. Unfortunately, the problem setting only allows a single CL for each…

Machine Learning · Computer Science 2022-08-09 Lei Feng , Takuo Kaneko , Bo Han , Gang Niu , Bo An , Masashi Sugiyama

The conventional wisdom behind learning deep classification models is to focus on bad-classified examples and ignore well-classified examples that are far from the decision boundary. For instance, when training with cross-entropy loss,…

Machine Learning · Computer Science 2023-03-17 Guangxiang Zhao , Wenkai Yang , Xuancheng Ren , Lei Li , Yunfang Wu , Xu Sun

In this article, we investigate the asymptotic properties of Bayesian multiple testing procedures under general dependent setup, when the sample size and the number of hypotheses both tend to infinity. Specifically, we investigate strong…

Statistics Theory · Mathematics 2020-05-14 Noirrit Kiran Chandra , Sourabh Bhattacharya

Technological innovations have revolutionized the process of scientific research and knowledge discovery. The availability of massive data and challenges from frontiers of research and development have reshaped statistical thinking, data…

Statistics Theory · Mathematics 2007-06-13 Jianqing Fan , Runze Li

Estimating the unknown number of classes in a population has numerous important applications. In a Poisson mixture model, the problem is reduced to estimating the odds that a class is undetected in a sample. The discontinuity of the odds…

Statistics Theory · Mathematics 2007-08-22 Chang Xuan Mao , Bruce G. Lindsay

In this article, we study rates of convergence of the generalization error of multi-class margin classifiers. In particular, we develop an upper bound theory quantifying the generalization error of various large margin classifiers. The…

Statistics Theory · Mathematics 2011-11-10 Xiaotong Shen , Lifeng Wang

In this paper, we investigate the problem of classifying feature vectors with mutually independent but non-identically distributed elements. First, we show the importance of this problem. Next, we propose a classifier and derive an…

Machine Learning · Computer Science 2021-09-01 Farzad Shahrivari , Nikola Zlatanov
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