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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…

Machine Learning · Statistics 2022-02-04 Stefano Vigogna , Giacomo Meanti , Ernesto De Vito , Lorenzo Rosasco

Deep learning algorithms can fare poorly when the training dataset suffers from heavy class-imbalance but the testing criterion requires good generalization on less frequent classes. We design two novel methods to improve performance in…

Machine Learning · Computer Science 2019-10-29 Kaidi Cao , Colin Wei , Adrien Gaidon , Nikos Arechiga , Tengyu Ma

Machine unlearning, the efficient deletion of the impact of specific data in a trained model, remains a challenging problem. Current machine unlearning approaches that focus primarily on data-centric or weight-based strategies frequently…

Machine Learning · Computer Science 2025-08-07 Thang Duc Tran , Thai Hoang Le

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

Decision making and learning in the presence of uncertainty has attracted significant attention in view of the increasing need to achieve robust and reliable operations. In the case where uncertainty stems from the presence of adversarial…

Machine Learning · Computer Science 2024-03-25 André Bertolace , Konstatinos Gatsis , Kostas Margellos

We explore the potential for using a nonsmooth loss function based on the max-norm in the training of an artificial neural network. We hypothesise that this may lead to superior classification results in some special cases where the…

Machine Learning · Computer Science 2021-07-20 Vinesha Peiris , Nadezda Sukhorukova , Vera Roshchina

Recent works have shown that deep metric learning algorithms can benefit from weak supervision from another input modality. This additional modality can be incorporated directly into the popular triplet-based loss function as distances.…

Computer Vision and Pattern Recognition · Computer Science 2020-06-29 Istvan Fehervari , Ives Macedo

Imbalanced datasets are commonplace in modern machine learning problems. The presence of under-represented classes or groups with sensitive attributes results in concerns about generalization and fairness. Such concerns are further…

Machine Learning · Computer Science 2022-01-05 Mingchen Li , Xuechen Zhang , Christos Thrampoulidis , Jiasi Chen , Samet Oymak

Modern machine learning suffers from catastrophic forgetting when learning new classes incrementally. The performance dramatically degrades due to the missing data of old classes. Incremental learning methods have been proposed to retain…

Computer Vision and Pattern Recognition · Computer Science 2019-06-03 Yue Wu , Yinpeng Chen , Lijuan Wang , Yuancheng Ye , Zicheng Liu , Yandong Guo , Yun Fu

Deep learning models have become an increasingly preferred option for biometric recognition systems, such as speaker recognition. SincNet, a deep neural network architecture, gained popularity in speaker recognition tasks due to its…

Audio and Speech Processing · Electrical Eng. & Systems 2023-06-13 Labib Chowdhury , Mustafa Kamal , Najia Hasan , Nabeel Mohammed

Training a classifier over a large number of classes, known as 'extreme classification', has become a topic of major interest with applications in technology, science, and e-commerce. Traditional softmax regression induces a gradient cost…

Machine Learning · Statistics 2020-02-18 Robert Bamler , Stephan Mandt

In neural networks, the loss function represents the core of the learning process that leads the optimizer to an approximation of the optimal convergence error. Convolutional neural networks (CNN) use the loss function as a supervisory…

Computer Vision and Pattern Recognition · Computer Science 2020-09-30 Riccardo La Grassa , Ignazio Gallo , Nicola Landro

Softmax is the most commonly used output function for multiclass problems and is widely used in areas such as vision, natural language processing, and recommendation. A softmax model has linear costs in the number of classes which makes it…

Machine Learning · Computer Science 2018-08-03 Guy Blanc , Steffen Rendle

Adaptive optimization methods (such as Adam) play a major role in LLM pretraining, significantly outperforming Gradient Descent (GD). Recent studies have proposed new smoothness assumptions on the loss function to explain the advantages of…

Machine Learning · Computer Science 2025-12-02 Robin Yadav , Shuo Xie , Tianhao Wang , Zhiyuan Li

Ocular biometric systems working in unconstrained environments usually face the problem of small within-class compactness caused by the multiple factors that jointly degrade the quality of the obtained data. In this work, we propose an…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 Luiz A. Zanlorensi , Hugo Proença , David Menotti

Adversarial fine-tuning methods enhance adversarial robustness via fine-tuning the pre-trained model in an adversarial training manner. However, we identify that some specific latent features of adversarial samples are confused by…

Computer Vision and Pattern Recognition · Computer Science 2024-12-11 Nuoyan Zhou , Dawei Zhou , Decheng Liu , Nannan Wang , Xinbo Gao

We introduce a new class of adaptive non-linear autoregressive (Nlar) models incorporating the concept of momentum, which dynamically estimate both the learning rates and momentum as the number of iterations increases. In our method, the…

Machine Learning · Computer Science 2024-12-03 Ramin Okhrati

Multi-class text classification is one of the key problems in machine learning and natural language processing. Emerging neural networks deal with the problem using a multi-output softmax layer and achieve substantial progress, but they do…

Computation and Language · Computer Science 2020-03-26 Haiyang Xu , Junwen Chen , Kun Han , Xiangang Li

Semi-supervised learning (SSL), thanks to the significant reduction of data annotation costs, has been an active research topic for large-scale 3D scene understanding. However, the existing SSL-based methods suffer from severe training…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Mengtian Li , Shaohui Lin , Zihan Wang , Yunhang Shen , Baochang Zhang , Lizhuang Ma

Many evaluation metrics can be used to assess the performance of models in binary classification tasks. However, most of them are derived from a confusion matrix in a non-differentiable form, making it very difficult to generate a…

Machine Learning · Computer Science 2024-05-24 Doheon Han , Nuno Moniz , Nitesh V Chawla
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