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A new loss function is proposed for neural networks on classification tasks which extends the hinge loss by assigning gradients to its critical points. We will show that for a linear classifier on linearly separable data with fixed step…

Machine Learning · Computer Science 2020-06-26 Justin Lizama

In real-world environments it usually is difficult to specify target operating conditions precisely, for example, target misclassification costs. This uncertainty makes building robust classification systems problematic. We show that it is…

Machine Learning · Computer Science 2007-05-23 Foster Provost , Tom Fawcett

Noise-tolerant PAC learning of linear models has been of central interests in machine learning community since the last century. In recent years, many computationally-efficient algorithms have been proposed for the problem of learning…

Machine Learning · Computer Science 2026-05-19 Rita Adhikari , Shiwei Zeng

We study adversarial robustness of neural networks from a margin maximization perspective, where margins are defined as the distances from inputs to a classifier's decision boundary. Our study shows that maximizing margins can be achieved…

Machine Learning · Computer Science 2020-03-06 Gavin Weiguang Ding , Yash Sharma , Kry Yik Chau Lui , Ruitong Huang

Many of the observations we make are biased by our decisions. For instance, the demand of items is impacted by the prices set, and online checkout choices are influenced by the assortments presented. The challenge in decision-making under…

Machine Learning · Computer Science 2025-07-02 Rares Cristian , Pavithra Harsha , Georgia Perakis , Brian Quanz

Standard contrastive learning approaches usually require a large number of negatives for effective unsupervised learning and often exhibit slow convergence. We suspect this behavior is due to the suboptimal selection of negatives used for…

Machine Learning · Computer Science 2021-12-22 Anshul Shah , Suvrit Sra , Rama Chellappa , Anoop Cherian

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

This paper studies the generalization performance of multi-class classification algorithms, for which we obtain, for the first time, a data-dependent generalization error bound with a logarithmic dependence on the class size, substantially…

Machine Learning · Computer Science 2015-06-16 Yunwen Lei , Ürün Dogan , Alexander Binder , Marius Kloft

We investigate the problem of classification in the presence of unknown class-conditional label noise in which the labels observed by the learner have been corrupted with some unknown class dependent probability. In order to obtain finite…

Machine Learning · Statistics 2019-06-11 Henry W J Reeve , Ata Kaban

Class imbalance is a common problem in the case of real-world object detection and classification tasks. Data of some classes is abundant making them an over-represented majority, and data of other classes is scarce, making them an…

Computer Vision and Pattern Recognition · Computer Science 2017-03-24 Salman H. Khan , Munawar Hayat , Mohammed Bennamoun , Ferdous Sohel , Roberto Togneri

Likelihood-to-evidence ratio estimation is usually cast as either a binary (NRE-A) or a multiclass (NRE-B) classification task. In contrast to the binary classification framework, the current formulation of the multiclass version has an…

Machine Learning · Statistics 2024-07-08 Benjamin Kurt Miller , Christoph Weniger , Patrick Forré

Contrastive learning is a representational learning paradigm in which a neural network maps data elements to feature vectors. It improves the feature space by forming lots with an anchor and examples that are either positive or negative…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Fabian Deuser , Philipp Hausenblas , Hannah Schieber , Daniel Roth , Martin Werner , Norbert Oswald

We present a selective sampling method designed to accelerate the training of deep neural networks. To this end, we introduce a novel measurement, the minimal margin score (MMS), which measures the minimal amount of displacement an input…

Machine Learning · Computer Science 2019-11-19 Berry Weinstein , Shai Fine , Yacov Hel-Or

Precision and Recall are fundamental metrics in machine learning tasks where both accurate predictions and comprehensive coverage are essential, such as in multi-label learning, language generation, medical studies, and recommender systems.…

Machine Learning · Computer Science 2025-10-27 Lee Cohen , Yishay Mansour , Shay Moran , Han Shao

Class incremental learning refers to a special multi-class classification task, in which the number of classes is not fixed but is increasing with the continual arrival of new data. Existing researches mainly focused on solving catastrophic…

Machine Learning · Computer Science 2019-05-21 Xu Zhang , Yang Yao , Baile Xu , Lekun Mao , Furao Shen , Jian Zhao , Qingwei Lin

Neural approximate computing gains enormous energy-efficiency at the cost of tolerable quality-loss. A neural approximator can map the input data to output while a classifier determines whether the input data are safe to approximate with…

Machine Learning · Computer Science 2018-10-22 Haiyue Song , Chengwen Xu , Qiang Xu , Zhuoran Song , Naifeng Jing , Xiaoyao Liang , Li Jiang

Suicide prediction is the key for prevention, but real data with sufficient positive samples is rare and causes extreme class imbalance. We utilized machine learning (ML) to build the model and deep learning (DL) techniques, like Generative…

Machine Learning · Computer Science 2025-10-21 Vaishnavi Visweswaraiah , Tanvi Banerjee , William Romine

We give sublinear-time approximation algorithms for some optimization problems arising in machine learning, such as training linear classifiers and finding minimum enclosing balls. Our algorithms can be extended to some kernelized versions…

Machine Learning · Computer Science 2010-10-22 Kenneth L. Clarkson , Elad Hazan , David P. Woodruff

Extreme multi-label learning (XML) or classification has been a practical and important problem since the boom of big data. The main challenge lies in the exponential label space which involves $2^L$ possible label sets especially when the…

Machine Learning · Computer Science 2018-06-11 Wenjie Zhang , Junchi Yan , Xiangfeng Wang , Hongyuan Zha

In this paper, a progressive learning technique for multi-class classification is proposed. This newly developed learning technique is independent of the number of class constraints and it can learn new classes while still retaining the…

Machine Learning · Computer Science 2017-01-24 Rajasekar Venkatesan , Meng Joo Er