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Covariance matrices have proven highly effective across many scientific fields. Since these matrices lie within the Symmetric Positive Definite (SPD) manifold - a Riemannian space with intrinsic non-Euclidean geometry, the primary challenge…

机器学习 · 计算机科学 2025-04-02 Rui Wang , Shaocheng Jin , Ziheng Chen , Xiaoqing Luo , Xiao-Jun Wu

Deep Neural Networks (DNNs) are powerful tools for various computer vision tasks, yet they often struggle with reliable uncertainty quantification - a critical requirement for real-world applications. Bayesian Neural Networks (BNN) are…

机器学习 · 计算机科学 2023-12-27 Gianni Franchi , Olivier Laurent , Maxence Leguéry , Andrei Bursuc , Andrea Pilzer , Angela Yao

It is a common assumption that the activation of different layers in neural networks follow Gaussian distribution. This distribution can be transformed using normalization techniques, such as batch-normalization, increasing convergence…

机器学习 · 计算机科学 2020-10-19 Andras Horvath , Jalal Al-afandi

The use of neural networks as function approximators has enabled many advances in reinforcement learning (RL). The generalization power of neural networks combined with advances in RL algorithms has reignited the field of artificial…

机器学习 · 计算机科学 2022-03-14 Christopher Lazarus , Mykel J. Kochenderfer

We show that the Rademacher complexity-based framework can establish non-vacuous generalization bounds for Convolutional Neural Networks (CNNs) in the context of classifying a small set of image classes. A key technical advancement is the…

机器学习 · 统计学 2025-03-03 Lan V. Truong

We show that training a deep network using batch normalization is equivalent to approximate inference in Bayesian models. We further demonstrate that this finding allows us to make meaningful estimates of the model uncertainty using…

机器学习 · 统计学 2018-07-17 Mattias Teye , Hossein Azizpour , Kevin Smith

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

Deep neural networks (DNNs) on Riemannian manifolds have garnered increasing interest in various applied areas. For instance, DNNs on spherical and hyperbolic manifolds have been designed to solve a wide range of computer vision and nature…

机器学习 · 统计学 2026-01-06 Xuan Son Nguyen , Shuo Yang , Aymeric Histace

While the authors of Batch Normalization (BN) identify and address an important problem involved in training deep networks-- Internal Covariate Shift-- the current solution has certain drawbacks. Specifically, BN depends on batch statistics…

机器学习 · 统计学 2016-07-13 Devansh Arpit , Yingbo Zhou , Bhargava U. Kota , Venu Govindaraju

As one of the energy-efficient alternatives of conventional neural networks (CNNs), spiking neural networks (SNNs) have gained more and more interest recently. To train the deep models, some effective batch normalization (BN) techniques are…

计算机视觉与模式识别 · 计算机科学 2023-08-17 Yufei Guo , Yuhan Zhang , Yuanpei Chen , Weihang Peng , Xiaode Liu , Liwen Zhang , Xuhui Huang , Zhe Ma

We conduct mathematical analysis on the effect of batch normalization (BN) on gradient backpropogation in residual network training, which is believed to play a critical role in addressing the gradient vanishing/explosion problem, in this…

机器学习 · 计算机科学 2018-12-04 Abhishek Panigrahi , Yueru Chen , C. -C. Jay Kuo

Deep neural networks (DNNs) play a crucial role in the field of machine learning, demonstrating state-of-the-art performance across various application domains. However, despite their success, DNN-based models may occasionally exhibit…

机器学习 · 计算机科学 2024-07-02 Guy Amir , Osher Maayan , Tom Zelazny , Guy Katz , Michael Schapira

Recent progress in research on Deep Graph Networks (DGNs) has led to a maturation of the domain of learning on graphs. Despite the growth of this research field, there are still important challenges that are yet unsolved. Specifically,…

机器学习 · 计算机科学 2024-04-10 Alessio Gravina , Davide Bacciu

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

机器学习 · 计算机科学 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

Symmetric Positive Definite (SPD) matrix learning methods have become popular in many image and video processing tasks, thanks to their ability to learn appropriate statistical representations while respecting Riemannian geometry of…

计算机视觉与模式识别 · 计算机科学 2016-12-23 Zhiwu Huang , Luc Van Gool

While the authors of Batch Normalization (BN) identify and address an important problem involved in training deep networks-- \textit{Internal Covariate Shift}-- the current solution has certain drawbacks. For instance, BN depends on batch…

机器学习 · 统计学 2016-06-21 Devansh Arpit , Yingbo Zhou , Hung Ngo , Venu Govindaraju

Deep Neural Networks (DNNs) have begun to thrive in the field of automation systems, owing to the recent advancements in standardising various aspects such as architecture, optimization techniques, and regularization. In this paper, we take…

机器学习 · 计算机科学 2019-07-10 Anand Krishnamoorthy Subramanian , Nak Young Chong

Normalization methods are a central building block in the deep learning toolbox. They accelerate and stabilize training, while decreasing the dependence on manually tuned learning rate schedules. When learning from multi-modal…

机器学习 · 计算机科学 2018-10-15 Lucas Deecke , Iain Murray , Hakan Bilen

Convolutional neural network (CNN) has achieved impressive success in computer vision during the past few decades. The image convolution operation helps CNNs to get good performance on image-related tasks. However, the image convolution has…

计算机视觉与模式识别 · 计算机科学 2022-07-21 Hengyue Pan , Yixin Chen , Xin Niu , Wenbo Zhou , Dongsheng Li

The radio astronomy community is rapidly adopting deep learning techniques to deal with the huge data volumes expected from the next generation of radio observatories. Bayesian neural networks (BNNs) provide a principled way to model…

机器学习 · 计算机科学 2024-05-29 Devina Mohan , Anna M. M. Scaife