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Robust generalization is a major challenge in deep learning, particularly when the number of trainable parameters is very large. In general, it is very difficult to know if the network has memorized a particular set of examples or…

机器学习 · 计算机科学 2024-03-06 Darshil Doshi , Aritra Das , Tianyu He , Andrey Gromov

Deep Neural Networks can generalize despite being significantly overparametrized. Recent research has tried to examine this phenomenon from various view points and to provide bounds on the generalization error or measures predictive of the…

机器学习 · 计算机科学 2020-12-07 Parth Natekar , Manik Sharma

Recent findings suggest that consecutive layers of neural networks with the ReLU activation function \emph{fold} the input space during the learning process. While many works hint at this phenomenon, an approach to quantify the folding was…

机器学习 · 计算机科学 2025-03-12 Michal Lewandowski , Bernhard Heinzl , Raphael Pisoni , Bernhard A. Moser

Regularization plays a vital role in the context of deep learning by preventing deep neural networks from the danger of overfitting. This paper proposes a novel deep learning regularization method named as DL-Reg, which carefully reduces…

机器学习 · 计算机科学 2020-11-05 Maryam Dialameh , Ali Hamzeh , Hossein Rahmani

Supervised deep learning models require significant amount of labeled data to achieve an acceptable performance on a specific task. However, when tested on unseen data, the models may not perform well. Therefore, the models need to be…

计算机视觉与模式识别 · 计算机科学 2024-01-01 Akshit Achara , Ram Krishna Pandey

After a neural sequence model encounters an unexpected token, can its behavior be predicted? We show that RNN and transformer language models exhibit structured, consistent generalization in out-of-distribution contexts. We begin by…

计算与语言 · 计算机科学 2021-11-08 Anthony Bau , Jacob Andreas

In this paper, we study the generalization ability of the wide residual network on $\mathbb{S}^{d-1}$ with the ReLU activation function. We first show that as the width $m\rightarrow\infty$, the residual network kernel (RNK) uniformly…

机器学习 · 统计学 2023-05-31 Jianfa Lai , Zixiong Yu , Songtao Tian , Qian Lin

Recurrent Neural Networks (RNNs) are very successful at solving challenging problems with sequential data. However, this observed efficiency is not yet entirely explained by theory. It is known that a certain class of multiplicative RNNs…

机器学习 · 计算机科学 2019-01-31 Valentin Khrulkov , Oleksii Hrinchuk , Ivan Oseledets

A key challenge facing deep learning is that neural networks are often not robust to shifts in the underlying data distribution. We study this problem from the perspective of the statistical concept of parameter identification.…

机器学习 · 计算机科学 2022-02-18 Kan Xu , Hamsa Bastani , Osbert Bastani

This work investigates the generalization behavior of deep neural networks (DNNs), focusing on the phenomenon of "fooling examples," where DNNs confidently classify inputs that appear random or unstructured to humans. To explore this…

机器学习 · 计算机科学 2025-08-22 Yen-Lung Lai , Zhe Jin

In domains such as health care and finance, shortage of labeled data and computational resources is a critical issue while developing machine learning algorithms. To address the issue of labeled data scarcity in training and deployment of…

机器学习 · 计算机科学 2018-10-16 Otkrist Gupta , Ramesh Raskar

Normalization techniques have only recently begun to be exploited in supervised learning tasks. Batch normalization exploits mini-batch statistics to normalize the activations. This was shown to speed up training and result in better…

机器学习 · 计算机科学 2017-03-08 Mengye Ren , Renjie Liao , Raquel Urtasun , Fabian H. Sinz , Richard S. Zemel

The robust generalization of models to rare, in-distribution (ID) samples drawn from the long tail of the training distribution and to out-of-training-distribution (OOD) samples is one of the major challenges of current deep learning…

计算机视觉与模式识别 · 计算机科学 2024-04-03 Paul Gavrikov , Janis Keuper

Background: Deep learning models are typically trained using stochastic gradient descent or one of its variants. These methods update the weights using their gradient, estimated from a small fraction of the training data. It has been…

机器学习 · 统计学 2018-01-03 Elad Hoffer , Itay Hubara , Daniel Soudry

Deep neural networks are able to solve tasks across a variety of domains and modalities of data. Despite many empirical successes, we lack the ability to clearly understand and interpret the learned internal mechanisms that contribute to…

Training state-of-the-art, deep neural networks is computationally expensive. One way to reduce the training time is to normalize the activities of the neurons. A recently introduced technique called batch normalization uses the…

机器学习 · 统计学 2016-07-22 Jimmy Lei Ba , Jamie Ryan Kiros , Geoffrey E. Hinton

In this work we study generalization of neural networks in gradient-based meta-learning by analyzing various properties of the objective landscapes. We experimentally demonstrate that as meta-training progresses, the meta-test solutions,…

机器学习 · 计算机科学 2019-07-18 Simon Guiroy , Vikas Verma , Christopher Pal

A recent line of research on deep learning focuses on the extremely over-parameterized setting, and shows that when the network width is larger than a high degree polynomial of the training sample size $n$ and the inverse of the target…

机器学习 · 计算机科学 2022-01-03 Zixiang Chen , Yuan Cao , Difan Zou , Quanquan Gu

We consider a one-hidden-layer leaky ReLU network of arbitrary width trained by stochastic gradient descent (SGD) following an arbitrary initialization. We prove that SGD produces neural networks that have classification accuracy…

机器学习 · 计算机科学 2021-02-16 Spencer Frei , Yuan Cao , Quanquan Gu

Deep neural networks (DNNs) trained on large-scale datasets have exhibited significant performance in image classification. Many large-scale datasets are collected from websites, however they tend to contain inaccurate labels that are…

计算机视觉与模式识别 · 计算机科学 2019-04-23 Daiki Tanaka , Daiki Ikami , Toshihiko Yamasaki , Kiyoharu Aizawa