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In this paper, a meshfree method using the deep neural network (DNN) approach is developed for solving two kinds of dynamic two-phase interface problems governed by different dynamic partial differential equations on either side of the…

数值分析 · 数学 2022-07-25 Xingwen Zhu , Xiaozhe Hu , Pengtao Sun

Our proposed deeply-supervised nets (DSN) method simultaneously minimizes classification error while making the learning process of hidden layers direct and transparent. We make an attempt to boost the classification performance by studying…

机器学习 · 统计学 2017-04-26 Chen-Yu Lee , Saining Xie , Patrick Gallagher , Zhengyou Zhang , Zhuowen Tu

Latent variable models are powerful tools for modeling complex phenomena involving in particular partially observed data, unobserved variables or underlying complex unknown structures. Inference is often difficult due to the latent…

统计理论 · 数学 2023-06-23 Charlotte Baey , Maud Delattre , Estelle Kuhn , Jean-Benoist Leger , Sarah Lemler

In recent years, deep learning has achieved remarkable success in various fields such as image recognition, natural language processing, and speech recognition. The effectiveness of deep learning largely depends on the optimization methods…

机器学习 · 计算机科学 2023-04-25 David Shulman

We present practical Levenberg-Marquardt variants of Gauss-Newton and natural gradient methods for solving non-convex optimization problems that arise in training deep neural networks involving enormous numbers of variables and huge data…

机器学习 · 计算机科学 2019-06-07 Yi Ren , Donald Goldfarb

Deep neural networks (DNNs) are state-of-the-art solutions for many machine learning applications, and have been widely used on mobile devices. Running DNNs on resource-constrained mobile devices often requires the help from edge servers…

网络与互联网体系结构 · 计算机科学 2019-03-11 Wenqi Shi , Yunzhong Hou , Sheng Zhou , Zhisheng Niu , Yang Zhang , Lu Geng

Direct Feedback Alignment (DFA) is emerging as an efficient and biologically plausible alternative to the ubiquitous backpropagation algorithm for training deep neural networks. Despite relying on random feedback weights for the backward…

机器学习 · 统计学 2021-06-11 Maria Refinetti , Stéphane d'Ascoli , Ruben Ohana , Sebastian Goldt

Neural network optimization remains one of the most consequential yet poorly understood challenges in modern AI research, where improvements in training algorithms can lead to enhanced feature learning in foundation models,…

机器学习 · 计算机科学 2025-12-23 Ansh Nagwekar

In this paper, we introduce a novel methodology for characterising the performance of deep learning networks (ResNets and DenseNet) with respect to training convergence and generalisation as a function of mini-batch size and learning rate…

计算机视觉与模式识别 · 计算机科学 2018-10-17 Zhibin Liao , Tom Drummond , Ian Reid , Gustavo Carneiro

The backpropagation algorithm remains the dominant and most successful method for training deep neural networks (DNNs). At the same time, training DNNs at scale comes at a significant computational cost and therefore a high carbon…

机器学习 · 计算机科学 2025-11-12 Sander Dalm , Joshua Offergeld , Nasir Ahmad , Marcel van Gerven

Deep neural networks (DNNs) are powerful types of artificial neural networks (ANNs) that use several hidden layers. They have recently gained considerable attention in the speech transcription and image recognition community (Krizhevsky et…

机器学习 · 计算机科学 2017-06-15 Matthew Dixon , Diego Klabjan , Jin Hoon Bang

The backpropagation algorithm for calculating gradients has been widely used in computation of weights for deep neural networks (DNNs). This method requires derivatives of objective functions and has some difficulties finding appropriate…

机器学习 · 计算机科学 2016-05-17 Tetsuya Sakurai , Akira Imakura , Yuto Inoue , Yasunori Futamura

In this paper, we develop a novel second-order method for training feed-forward neural nets. At each iteration, we construct a quadratic approximation to the cost function in a low-dimensional subspace. We minimize this approximation inside…

计算机视觉与模式识别 · 计算机科学 2018-05-25 Viacheslav Dudar , Giovanni Chierchia , Emilie Chouzenoux , Jean-Christophe Pesquet , Vladimir Semenov

Batch normalization (BN) has become a critical component across diverse deep neural networks. The network with BN is invariant to positively linear re-scale transformation, which makes there exist infinite functionally equivalent networks…

机器学习 · 计算机科学 2022-06-07 Mingyang Yi

The rising computational and energy demands of deep neural networks (DNNs), driven largely by backpropagation (BP), challenge sustainable AI development. This paper rigorously investigates three BP-free training methods: the Forward-Forward…

机器学习 · 计算机科学 2026-01-15 Przemysław Spyra

Network embedding, a graph representation learning method illustrating network topology by mapping nodes into lower-dimension vectors, is challenging to accommodate the ever-changing dynamic graphs in practice. Existing research is mainly…

社会与信息网络 · 计算机科学 2023-06-16 Haoran Deng , Yang Yang , Jiahe Li , Haoyang Cai , Shiliang Pu , Weihao Jiang

Neural network pruning is one of the most popular methods of accelerating the inference of deep convolutional neural networks (CNNs). The dominant pruning methods, filter-level pruning methods, evaluate their performance through the…

计算机视觉与模式识别 · 计算机科学 2019-12-24 Wenxiao Wang , Shuai Zhao , Minghao Chen , Jinming Hu , Deng Cai , Haifeng Liu

Optimization algorithms that leverage gradient covariance information, such as variants of natural gradient descent (Amari, 1998), offer the prospect of yielding more effective descent directions. For models with many parameters, the…

机器学习 · 计算机科学 2021-07-27 Thomas George , César Laurent , Xavier Bouthillier , Nicolas Ballas , Pascal Vincent

Efficient deployment of Deep Neural Networks (DNNs), such as Large Language Models (LLMs), on tensor accelerators is essential for maximizing computational efficiency in modern AI systems. However, achieving this is challenging due to the…

硬件体系结构 · 计算机科学 2025-12-11 Shuao Jia , Zichao Ling , Chen Bai , Kang Zhao , Jianwang Zhai

The success of DNNs is driven by the counter-intuitive ability of over-parameterized networks to generalize, even when they perfectly fit the training data. In practice, test error often continues to decrease with increasing…

机器学习 · 计算机科学 2022-07-01 Akshaj Kumar Veldanda , Ivan Brugere , Jiahao Chen , Sanghamitra Dutta , Alan Mishler , Siddharth Garg