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Training Neural Networks (NNs) without overfitting is difficult; detecting that overfitting is difficult as well. We present a novel Random Matrix Theory method that detects the onset of overfitting in deep learning models without access to…

Machine Learning · Computer Science 2026-05-15 Hari K. Prakash , Charles H Martin

Neural networks often operate in the overparameterized regime, in which there are far more parameters than training samples, allowing the training data to be fit perfectly. That is, training the network effectively learns an interpolating…

Machine Learning · Computer Science 2025-03-19 Suzanna Parkinson , Greg Ongie , Rebecca Willett

Recognition problems in long-tailed data, in which the sample size per class is heavily skewed, have gained importance because the distribution of the sample size per class in a dataset is generally exponential unless the sample size is…

Machine Learning · Computer Science 2024-04-30 Naoya Hasegawa , Issei Sato

Miscalibration - a mismatch between a model's confidence and its correctness - of Deep Neural Networks (DNNs) makes their predictions hard to rely on. Ideally, we want networks to be accurate, calibrated and confident. We show that, as…

Machine Learning · Computer Science 2020-10-27 Jishnu Mukhoti , Viveka Kulharia , Amartya Sanyal , Stuart Golodetz , Philip H. S. Torr , Puneet K. Dokania

We study approximation and learning capacities of convolutional neural networks (CNNs) with one-side zero-padding and multiple channels. Our first result proves a new approximation bound for CNNs with certain constraint on the weights. Our…

Machine Learning · Computer Science 2025-07-29 Yunfei Yang , Han Feng , Ding-Xuan Zhou

Implicit deep learning has recently become popular in the machine learning community since these implicit models can achieve competitive performance with state-of-the-art deep networks while using significantly less memory and computational…

Machine Learning · Computer Science 2022-05-17 Tianxiang Gao , Hongyang Gao

Deep neural networks suffer from catastrophic forgetting when continually learning new concepts. In this paper, we analyze this problem from a data imbalance point of view. We argue that the imbalance between old task and new task data…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Leyuan Wang , Liuyu Xiang , Yunlong Wang , Huijia Wu , Zhaofeng He

We formalize and study a phenomenon called feature collapse that makes precise the intuitive idea that entities playing a similar role in a learning task receive similar representations. As feature collapse requires a notion of task, we…

Machine Learning · Computer Science 2023-05-26 Thomas Laurent , James H. von Brecht , Xavier Bresson

Convolutional neural networks (CNNs) have been widely used for image classification. Despite its high accuracies, CNN has been shown to be easily fooled by some adversarial examples, indicating that CNN is not robust enough for pattern…

Computer Vision and Pattern Recognition · Computer Science 2018-05-10 Hong-Ming Yang , Xu-Yao Zhang , Fei Yin , Cheng-Lin Liu

The focal-loss has become a widely used alternative to cross-entropy in class-imbalanced classification problems, particularly in computer vision. Despite its empirical success, a systematic information-theoretic study of the focal-loss…

Information Theory · Computer Science 2026-03-04 Jaimin Shah , Martina Cardone , Alex Dytso

Many modern neural network architectures are trained in an overparameterized regime where the parameters of the model exceed the size of the training dataset. Sufficiently overparameterized neural network architectures in principle have the…

Machine Learning · Computer Science 2019-02-14 Samet Oymak , Mahdi Soltanolkotabi

For classification problems, trained deep neural networks return probabilities of class memberships. In this work we study convergence of the learned probabilities to the true conditional class probabilities. More specifically we consider…

Statistics Theory · Mathematics 2021-08-03 Thijs Bos , Johannes Schmidt-Hieber

Classifiers trained with class-imbalanced data are known to perform poorly on test data of the "minor" classes, of which we have insufficient training data. In this paper, we investigate learning a ConvNet classifier under such a scenario.…

Machine Learning · Computer Science 2022-07-12 Han-Jia Ye , Hong-You Chen , De-Chuan Zhan , Wei-Lun Chao

The generalization gap on the long-tailed data sets is largely owing to most categories only occupying a few training samples. Decoupled training achieves better performance by training backbone and classifier separately. What causes the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-13 Zhiwei Zhang

The intrinsic capability to continuously learn a changing data stream is a desideratum of deep neural networks (DNNs). However, current DNNs suffer from catastrophic forgetting, which interferes with remembering past knowledge. To mitigate…

Machine Learning · Computer Science 2026-02-03 Nghia D. Nguyen , Hieu Trung Nguyen , Ang Li , Hoang Pham , Viet Anh Nguyen , Khoa D. Doan

One of the most important problems in regression-based error model is modeling the complex representation error caused by various corruptions and environment changes in images. For example, in robust face recognition, images are often…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Miaohua Zhang , Yongsheng Gao , Jun Zhou

Contrastive learning (CL) is a predominant technique in image classification, but they showed limited performance with an imbalanced dataset. Recently, several supervised CL methods have been proposed to promote an ideal regular simplex…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Sumin Roh , Harim Kim , Ho Yun Lee , Il Yong Chun

Classification on imbalanced datasets is a challenging task in real-world applications. Training conventional classification algorithms directly by minimizing classification error in this scenario can compromise model performance for…

Machine Learning · Computer Science 2020-03-05 Xiangrui Li , Dongxiao Zhu

Recurrent neural networks are deep learning topologies that can be trained to classify long documents. However, in our recent work, we found a critical problem with these cells: they can use the length differences between texts of different…

Machine Learning · Computer Science 2022-12-19 Jean-Thomas Baillargeon , Hélène Cossette , Luc Lamontagne

As a data-driven method, the performance of deep convolutional neural networks (CNN) relies heavily on training data. The prediction results of traditional networks give a bias toward larger classes, which tend to be the background in the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-04 N. Anantrasirichai , David Bull
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