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Several works have aimed to explain why overparameterized neural networks generalize well when trained by Stochastic Gradient Descent (SGD). The consensus explanation that has emerged credits the randomized nature of SGD for the bias of the…

机器学习 · 计算机科学 2021-02-24 Shengchao Liu , Dimitris Papailiopoulos , Dimitris Achlioptas

We study the implicit bias towards low-rank weight matrices when training neural networks (NN) with Weight Decay (WD). We prove that when a ReLU NN is sufficiently trained with Stochastic Gradient Descent (SGD) and WD, its weight matrix is…

机器学习 · 计算机科学 2024-10-04 Ke Chen , Chugang Yi , Haizhao Yang

Sparse auto-encoders are useful for extracting low-dimensional representations from high-dimensional data. However, their performance degrades sharply when the input noise at test time differs from the noise employed during training. This…

机器学习 · 计算机科学 2024-07-01 Nelson Goldenstein , Jeremias Sulam , Yaniv Romano

Label noise detection has been widely studied in Machine Learning because of its importance in improving training data quality. Satisfactory noise detection has been achieved by adopting ensembles of classifiers. In this approach, an…

机器学习 · 计算机科学 2022-10-11 Kecia G. Moura , Ricardo B. C. Prudêncio , George D. C. Cavalcanti

While deep neural networks (DNNs) have proven to be efficient for numerous tasks, they come at a high memory and computation cost, thus making them impractical on resource-limited devices. However, these networks are known to contain a…

神经与进化计算 · 计算机科学 2020-07-21 Anthony Berthelier , Yongzhe Yan , Thierry Chateau , Christophe Blanc , Stefan Duffner , Christophe Garcia

Despite being robust to small amounts of label noise, convolutional neural networks trained with stochastic gradient methods have been shown to easily fit random labels. When there are a mixture of correct and mislabelled targets, networks…

计算机视觉与模式识别 · 计算机科学 2019-06-06 Eric Arazo , Diego Ortego , Paul Albert , Noel E. O'Connor , Kevin McGuinness

We show implicit filter level sparsity manifests in convolutional neural networks (CNNs) which employ Batch Normalization and ReLU activation, and are trained with adaptive gradient descent techniques and L2 regularization or weight decay.…

机器学习 · 计算机科学 2019-05-14 Dushyant Mehta , Kwang In Kim , Christian Theobalt

The generalization and learning speed of a multi-class neural network can often be significantly improved by using soft targets that are a weighted average of the hard targets and the uniform distribution over labels. Smoothing the labels…

机器学习 · 计算机科学 2020-06-12 Rafael Müller , Simon Kornblith , Geoffrey Hinton

Weakly supervised text classification methods typically train a deep neural classifier based on pseudo-labels. The quality of pseudo-labels is crucial to final performance but they are inevitably noisy due to their heuristic nature, so…

计算与语言 · 计算机科学 2022-10-26 Dheeraj Mekala , Chengyu Dong , Jingbo Shang

We explore the ability of overparameterized shallow neural networks to learn Lipschitz regression functions with and without label noise when trained by Gradient Descent (GD). To avoid the problem that in the presence of noisy labels,…

机器学习 · 计算机科学 2023-01-02 Ilja Kuzborskij , Csaba Szepesvári

The memorization effect of deep neural networks (DNNs) plays a pivotal role in recent label noise learning methods. To exploit this effect, the model prediction-based methods have been widely adopted, which aim to exploit the outputs of…

机器学习 · 计算机科学 2022-06-28 Chuang Zhang , Li Shen , Jian Yang , Chen Gong

We investigate how sparse neural activity affects the generalization performance of a deep Bayesian neural network at the large width limit. To this end, we derive a neural network Gaussian Process (NNGP) kernel with rectified linear unit…

机器学习 · 计算机科学 2023-05-19 Chanwoo Chun , Daniel D. Lee

Experimental results have shown that curriculum learning, i.e., presenting simpler examples before more complex ones, can improve the efficiency of learning. Some recent theoretical results also showed that changing the sampling…

机器学习 · 计算机科学 2023-06-30 Emmanuel Abbe , Elisabetta Cornacchia , Aryo Lotfi

We study the fundamental problem of learning a single neuron, i.e., a function of the form $\mathbf{x}\mapsto\sigma(\mathbf{w}\cdot\mathbf{x})$ for monotone activations $\sigma:\mathbb{R}\mapsto\mathbb{R}$, with respect to the $L_2^2$-loss…

机器学习 · 计算机科学 2022-06-20 Ilias Diakonikolas , Vasilis Kontonis , Christos Tzamos , Nikos Zarifis

Image classification systems recently made a giant leap with the advancement of deep neural networks. However, these systems require an excessive amount of labeled data to be adequately trained. Gathering a correctly annotated dataset is…

机器学习 · 计算机科学 2021-01-19 Görkem Algan , Ilkay Ulusoy

This work studies the behavior of shallow ReLU networks trained with the logistic loss via gradient descent on binary classification data where the underlying data distribution is general, and the (optimal) Bayes risk is not necessarily…

机器学习 · 计算机科学 2021-11-05 Ziwei Ji , Justin D. Li , Matus Telgarsky

Neural networks are central to modern artificial intelligence, yet their training remains highly sensitive to data contamination. Standard neural classifiers are trained by minimizing the categorical cross-entropy loss, corresponding to…

机器学习 · 统计学 2026-03-19 Suryasis Jana , Abhik Ghosh

Randomly perturbing networks during the training process is a commonly used approach to improving generalization performance. In this paper, we present a theoretical study of one particular way of random perturbation, which corresponds to…

机器学习 · 计算机科学 2021-02-16 Oussama Dhifallah , Yue M. Lu

Label smoothing (LS) is an arising learning paradigm that uses the positively weighted average of both the hard training labels and uniformly distributed soft labels. It was shown that LS serves as a regularizer for training data with hard…

机器学习 · 计算机科学 2022-06-28 Jiaheng Wei , Hangyu Liu , Tongliang Liu , Gang Niu , Masashi Sugiyama , Yang Liu

In learning with noisy labels, the sample selection approach is very popular, which regards small-loss data as correctly labeled during training. However, losses are generated on-the-fly based on the model being trained with noisy labels,…

机器学习 · 计算机科学 2021-06-02 Xiaobo Xia , Tongliang Liu , Bo Han , Mingming Gong , Jun Yu , Gang Niu , Masashi Sugiyama