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Overfitting in deep learning has been the focus of a number of recent works, yet its exact impact on the behavior of neural networks is not well understood. This study analyzes overfitting by examining how the distribution of logits alters…

机器学习 · 计算机科学 2019-10-02 Zeju Li , Konstantinos Kamnitsas , Ben Glocker

Recently it was shown in several papers that backpropagation is able to find the global minimum of the empirical risk on the training data using over-parametrized deep neural networks. In this paper a similar result is shown for deep neural…

统计理论 · 数学 2020-01-15 Michael Kohler , Adam Krzyzak

Regularized training of an autoencoder typically results in hidden unit biases that take on large negative values. We show that negative biases are a natural result of using a hidden layer whose responsibility is to both represent the input…

机器学习 · 统计学 2015-04-09 Kishore Konda , Roland Memisevic , David Krueger

Deep learning is renowned for its theory-practice gap, whereby principled theory typically fails to provide much beneficial guidance for implementation in practice. This has been highlighted recently by the benign overfitting phenomenon:…

In deep learning it is common to overparameterize neural networks, that is, to use more parameters than training samples. Quite surprisingly training the neural network via (stochastic) gradient descent leads to models that generalize very…

最优化与控制 · 数学 2025-01-30 Hung-Hsu Chou , Johannes Maly , Holger Rauhut

A recent line of work has shown that an overparametrized neural network can perfectly fit the training data, an otherwise often intractable nonconvex optimization problem. For (fully-connected) shallow networks, in the best case scenario,…

机器学习 · 计算机科学 2019-10-30 Armin Eftekhari , ChaeHwan Song , Volkan Cevher

Class imbalance poses a challenge for developing unbiased, accurate predictive models. In particular, in image segmentation neural networks may overfit to the foreground samples from small structures, which are often heavily…

计算机视觉与模式识别 · 计算机科学 2021-02-23 Zeju Li , Konstantinos Kamnitsas , Ben Glocker

The remarkable generalization performance of large-scale models has been challenging the conventional wisdom of the statistical learning theory. Although recent theoretical studies have shed light on this behavior in linear models and…

机器学习 · 统计学 2024-06-18 Tomoya Wakayama

The issue of algorithmic biases in deep learning has led to the development of various debiasing techniques, many of which perform complex training procedures or dataset manipulation. However, an intriguing question arises: is it possible…

This paper studies how neural network architecture affects the speed of training. We introduce a simple concept called gradient confusion to help formally analyze this. When gradient confusion is high, stochastic gradients produced by…

机器学习 · 计算机科学 2020-07-08 Karthik A. Sankararaman , Soham De , Zheng Xu , W. Ronny Huang , Tom Goldstein

We study the generalization of over-parameterized deep networks (for image classification) in relation to the convex hull of their training sets. Despite their great success, generalization of deep networks is considered a mystery. These…

机器学习 · 计算机科学 2022-03-22 Roozbeh Yousefzadeh

Meta learning has demonstrated tremendous success in few-shot learning with limited supervised data. In those settings, the meta model is usually overparameterized. While the conventional statistical learning theory suggests that…

机器学习 · 计算机科学 2022-11-10 Lisha Chen , Songtao Lu , Tianyi Chen

People usually believe that network pruning not only reduces the computational cost of deep networks, but also prevents overfitting by decreasing model capacity. However, our work surprisingly discovers that network pruning sometimes even…

机器学习 · 计算机科学 2022-06-20 Zheng He , Zeke Xie , Quanzhi Zhu , Zengchang Qin

Compact neural network offers many benefits for real-world applications. However, it is usually challenging to train the compact neural networks with small parameter sizes and low computational costs to achieve the same or better model…

机器学习 · 计算机科学 2023-08-28 Shen Ren , Haosen Shi

Binary neural networks improve computationally efficiency of deep models with a large margin. However, there is still a performance gap between a successful full-precision training and binary training. We bring some insights about why this…

机器学习 · 计算机科学 2020-04-22 Xinlin Li , Vahid Partovi Nia

Modern deep learning models employ considerably more parameters than required to fit the training data. Whereas conventional statistical wisdom suggests such models should drastically overfit, in practice these models generalize remarkably…

机器学习 · 统计学 2020-08-18 Ben Adlam , Jeffrey Pennington

Structured prediction is often approached by training a locally normalized model with maximum likelihood and decoding approximately with beam search. This approach leads to mismatches as, during training, the model is not exposed to its…

计算与语言 · 计算机科学 2020-10-13 Renato Negrinho , Matthew R. Gormley , Geoffrey J. Gordon

Generalization of deep neural networks remains one of the main open problems in machine learning. Previous theoretical works focused on deriving tight bounds of model complexity, while empirical works revealed that neural networks exhibit…

机器学习 · 计算机科学 2022-01-31 James Wang , Cheng-Lin Yang

This paper focuses on over-parameterized deep neural networks (DNNs) with ReLU activation functions and proves that when the data distribution is well-separated, DNNs can achieve Bayes-optimal test error for classification while obtaining…

机器学习 · 计算机科学 2023-06-01 Zhenyu Zhu , Fanghui Liu , Grigorios G Chrysos , Francesco Locatello , Volkan Cevher

In a series of recent theoretical works, it was shown that strongly over-parameterized neural networks trained with gradient-based methods could converge exponentially fast to zero training loss, with their parameters hardly varying. In…

最优化与控制 · 数学 2020-01-08 Lenaic Chizat , Edouard Oyallon , Francis Bach