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We address the problem of estimating statistics of hidden units in a neural network using a method of analytic moment propagation. These statistics are useful for approximate whitening of the inputs in front of saturating non-linearities…

机器学习 · 计算机科学 2018-03-29 Alexander Shekhovtsov , Boris Flach

This paper studies generalization capabilities of neural networks (NNs) using new and improved PyTorch library Loss Landscape Analysis (LLA). LLA facilitates visualization and analysis of loss landscapes along with the properties of NN…

机器学习 · 计算机科学 2025-02-06 Nikita Gabdullin

We propose a new method for supervised learning. The hubNet procedure fits a hub-based graphical model to the predictors, to estimate the amount of "connection" that each predictor has with other predictors. This yields a set of predictor…

统计方法学 · 统计学 2016-08-22 Leying Guan , Zhou Fan , Robert Tibshirani

Neural networks have attracted a lot of attention due to its success in applications such as natural language processing and computer vision. For large scale data, due to the tremendous number of parameters in neural networks, overfitting…

机器学习 · 统计学 2022-07-05 Xiaoxi Shen , Jinghang Lin

Over the past few years, Batch-Normalization has been commonly used in deep networks, allowing faster training and high performance for a wide variety of applications. However, the reasons behind its merits remained unanswered, with several…

机器学习 · 统计学 2019-02-08 Elad Hoffer , Ron Banner , Itay Golan , Daniel Soudry

Recently, path norm was proposed as a new capacity measure for neural networks with Rectified Linear Unit (ReLU) activation function, which takes the rescaling-invariant property of ReLU into account. It has been shown that the…

机器学习 · 计算机科学 2019-08-22 Shuxin Zheng , Qi Meng , Huishuai Zhang , Wei Chen , Nenghai Yu , Tie-Yan Liu

In this paper, we are concerned with the generalization performance of non-parametric estimation for pairwise learning. Most of the existing work requires the hypothesis space to be convex or a VC-class, and the loss to be convex. However,…

机器学习 · 统计学 2026-02-12 Junyu Zhou , Shuo Huang , Han Feng , Puyu Wang , Ding-Xuan Zhou

In many information processing systems, it may be desirable to ensure that any change of the input, whether by shifting or scaling, results in a corresponding change in the system response. While deep neural networks are gradually replacing…

计算机视觉与模式识别 · 计算机科学 2024-02-22 Sébastien Herbreteau , Emmanuel Moebel , Charles Kervrann

This paper presents a new family of backpropagation-free neural architectures, Gated Linear Networks (GLNs). What distinguishes GLNs from contemporary neural networks is the distributed and local nature of their credit assignment mechanism;…

Batch Normalization is a key component in almost all state-of-the-art image classifiers, but it also introduces practical challenges: it breaks the independence between training examples within a batch, can incur compute and memory…

机器学习 · 计算机科学 2021-01-28 Andrew Brock , Soham De , Samuel L. Smith

Due to the over-parameterization nature, neural networks are a powerful tool for nonlinear function approximation. In order to achieve good generalization on unseen data, a suitable inductive bias is of great importance for neural networks.…

机器学习 · 计算机科学 2021-11-17 Weiyang Liu , Rongmei Lin , Zhen Liu , Li Xiong , Bernhard Schölkopf , Adrian Weller

Recent seminal work at the intersection of deep neural networks practice and random matrix theory has linked the convergence speed and robustness of these networks with the combination of random weight initialization and nonlinear…

机器学习 · 计算机科学 2019-05-07 Pierre H. Richemond , Yike Guo

Recurrent Neural Networks (RNNs) are a key technology for applications such as automatic speech recognition or machine translation. Unlike conventional feed-forward DNNs, RNNs remember past information to improve the accuracy of future…

神经与进化计算 · 计算机科学 2022-02-16 Franyell Silfa , Jose-Maria Arnau , Antonio González

In spite of finite dimension ReLU neural networks being a consistent factor behind recent deep learning successes, a theory of feature learning in these models remains elusive. Currently, insightful theories still rely on assumptions…

机器学习 · 计算机科学 2025-04-01 Devon Jarvis , Richard Klein , Benjamin Rosman , Andrew M. Saxe

A popular strategy to train recurrent neural networks (RNNs), known as ``teacher forcing'' takes the ground truth as input at each time step and makes the later predictions partly conditioned on those inputs. Such training strategy impairs…

计算与语言 · 计算机科学 2021-03-23 Liping Yuan , Jiangtao Feng , Xiaoqing Zheng , Xuanjing Huang

Deep neural networks (DNNs), particularly those using Rectified Linear Unit (ReLU) activation functions, have achieved remarkable success across diverse machine learning tasks, including image recognition, audio processing, and language…

机器学习 · 计算机科学 2026-03-26 Emi Zeger , Mert Pilanci

Deep convolutional networks often append additive constant ("bias") terms to their convolution operations, enabling a richer repertoire of functional mappings. Biases are also used to facilitate training, by subtracting mean response over…

图像与视频处理 · 电气工程与系统科学 2020-02-11 Sreyas Mohan , Zahra Kadkhodaie , Eero P. Simoncelli , Carlos Fernandez-Granda

Normalization like Batch Normalization (BN) is a milestone technique to normalize the distributions of intermediate layers in deep learning, enabling faster training and better generalization accuracy. However, in fidelity image…

图像与视频处理 · 电气工程与系统科学 2021-11-30 Jie Liu , Jie Tang , Gangshan Wu

The ability of machine learning (ML) algorithms to generalize well to unseen data has been studied through the lens of information theory, by bounding the generalization error with the input-output mutual information (MI), i.e., the MI…

机器学习 · 统计学 2024-06-07 Kimia Nadjahi , Kristjan Greenewald , Rickard Brüel Gabrielsson , Justin Solomon

Despite existing work on ensuring generalization of neural networks in terms of scale sensitive complexity measures, such as norms, margin and sharpness, these complexity measures do not offer an explanation of why neural networks…

机器学习 · 计算机科学 2018-05-31 Behnam Neyshabur , Zhiyuan Li , Srinadh Bhojanapalli , Yann LeCun , Nathan Srebro