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This paper analyzes a popular computational framework to solve infinite-dimensional Bayesian inverse problems, discretizing the prior and the forward model in a finite-dimensional weighted inner product space. We demonstrate the benefit of…

数值分析 · 数学 2024-02-22 Daniel Sanz-Alonso , Nathan Waniorek

Recent breakthroughs in computer vision make use of large deep neural networks, utilizing the substantial speedup offered by GPUs. For applications running on limited hardware, however, high precision real-time processing can still be a…

机器学习 · 计算机科学 2018-02-05 Oran Shayer , Dan Levi , Ethan Fetaya

A proper initialization of the weights in a neural network is critical to its convergence. Current insights into weight initialization come primarily from linear activation functions. In this paper, I develop a theory for weight…

机器学习 · 计算机科学 2017-05-04 Siddharth Krishna Kumar

In the literature on deep neural networks, there is considerable interest in developing activation functions that can enhance neural network performance. In recent years, there has been renewed scientific interest in proposing activation…

机器学习 · 计算机科学 2023-04-20 Mohamed Fakhfakh , Lotfi Chaari

Neural network pruning is a highly effective technique aimed at reducing the computational and memory demands of large neural networks. In this research paper, we present a novel approach to pruning neural networks utilizing Bayesian…

机器学习 · 统计学 2023-08-07 Sunil Mathew , Daniel B. Rowe

Recent work has explored the possibility of pruning neural networks at initialization. We assess proposals for doing so: SNIP (Lee et al., 2019), GraSP (Wang et al., 2020), SynFlow (Tanaka et al., 2020), and magnitude pruning. Although…

机器学习 · 计算机科学 2021-03-23 Jonathan Frankle , Gintare Karolina Dziugaite , Daniel M. Roy , Michael Carbin

In spite of the accomplishments of deep learning based algorithms in numerous applications and very broad corresponding research interest, at the moment there is still no rigorous understanding of the reasons why such algorithms produce…

统计理论 · 数学 2020-03-04 Arnulf Jentzen , Timo Welti

The development of the back-propagation algorithm represents a landmark in neural networks. We provide an approach that conducts the back-propagation again to reverse the traditional back-propagation process to optimize the input loss at…

机器学习 · 计算机科学 2022-02-15 Weiming Xiong , Ruoyu Yang

Although neural networks have made remarkable advancements in various applications, they require substantial computational and memory resources. Network quantization is a powerful technique to compress neural networks, allowing for more…

计算机视觉与模式识别 · 计算机科学 2023-12-19 Dawei Yang , Ning He , Xing Hu , Zhihang Yuan , Jiangyong Yu , Chen Xu , Zhe Jiang

Backpropagation is the cornerstone of deep learning, but its reliance on symmetric weight transport and global synchronization makes it computationally expensive and biologically implausible. Feedback alignment offers a promising…

机器学习 · 计算机科学 2025-05-28 Jeonghwan Cheon , Jaehyuk Bae , Se-Bum Paik

The impressive success of Generative Adversarial Networks (GANs) is often overshadowed by the difficulties in their training. Despite the continuous efforts and improvements, there are still open issues regarding their convergence…

机器学习 · 计算机科学 2018-11-08 Yannis Pantazis , Dipjyoti Paul , Michail Fasoulakis , Yannis Stylianou

Batch Normalization (BN) has proven to be an effective algorithm for deep neural network training by normalizing the input to each neuron and reducing the internal covariate shift. The space of weight vectors in the BN layer can be…

机器学习 · 计算机科学 2017-11-01 Minhyung Cho , Jaehyung Lee

We propose a novel low-rank initialization framework for training low-rank deep neural networks -- networks where the weight parameters are re-parameterized by products of two low-rank matrices. The most successful prior existing approach,…

机器学习 · 计算机科学 2022-05-23 Kiran Vodrahalli , Rakesh Shivanna , Maheswaran Sathiamoorthy , Sagar Jain , Ed H. Chi

In industrial machine learning pipelines, data often arrive in parts. Particularly in the case of deep neural networks, it may be too expensive to train the model from scratch each time, so one would rather use a previously learned model…

Bayesian neural networks (BNNs) have received an increased interest in the last years. In BNNs, a complete posterior distribution of the unknown weight and bias parameters of the network is produced during the training stage. This…

机器学习 · 计算机科学 2023-04-14 Yunshi Huang , Emilie Chouzenoux , Victor Elvira , Jean-Christophe Pesquet

The high computational and parameter complexity of neural networks makes their training very slow and difficult to deploy on energy and storage-constrained computing systems. Many network complexity reduction techniques have been proposed…

机器学习 · 计算机科学 2019-01-01 Charbel Sakr , Naresh Shanbhag

Neural networks trained via gradient descent with random initialization and without any regularization enjoy good generalization performance in practice despite being highly overparametrized. A promising direction to explain this phenomenon…

机器学习 · 计算机科学 2022-05-17 Hancheng Min , Salma Tarmoun , Rene Vidal , Enrique Mallada

We introduce a robust, error-tolerant adaptive training algorithm for generalized learning paradigms in high-dimensional superposed quantum networks, or \emph{adaptive quantum networks}. The formalized procedure applies standard…

神经元与认知 · 定量生物学 2015-05-13 Christopher Altman , Romàn R. Zapatrin

Despite the recent success of stochastic gradient descent in deep learning, it is often difficult to train a deep neural network with an inappropriate choice of its initial parameters. Even if training is successful, it has been known that…

机器学习 · 计算机科学 2023-02-10 Cheolhyoung Lee , Kyunghyun Cho

In this work we explore a straightforward variational Bayes scheme for Recurrent Neural Networks. Firstly, we show that a simple adaptation of truncated backpropagation through time can yield good quality uncertainty estimates and superior…

机器学习 · 计算机科学 2019-05-13 Meire Fortunato , Charles Blundell , Oriol Vinyals