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The goal of this document is to provide a pedagogical introduction to the main concepts underpinning the training of deep neural networks using gradient descent; a process known as backpropagation. Although we focus on a very influential…

机器学习 · 计算机科学 2018-11-30 Laurent Boué

Stochastic gradient descent (SGD) still is the workhorse for many practical problems. However, it converges slow, and can be difficult to tune. It is possible to precondition SGD to accelerate its convergence remarkably. But many attempts…

机器学习 · 统计学 2017-02-23 Xi-Lin Li

In this paper, we propose a novel normalization method called penalty gradient normalization (PGN) to tackle the training instability of Generative Adversarial Networks (GANs) caused by the sharp gradient space. Unlike existing work such as…

计算机视觉与模式识别 · 计算机科学 2023-06-26 Tian Xia

Neural network training is inherently sequential where the layers finish the forward propagation in succession, followed by the calculation and back-propagation of gradients (based on a loss function) starting from the last layer. The…

机器学习 · 计算机科学 2023-12-01 Vahid Janfaza , Shantanu Mandal , Farabi Mahmud , Abdullah Muzahid

This paper studies the performance of a recently proposed preconditioned stochastic gradient descent (PSGD) algorithm on recurrent neural network (RNN) training. PSGD adaptively estimates a preconditioner to accelerate gradient descent, and…

机器学习 · 统计学 2016-12-09 Xi-Lin Li

Spiking Neural Networks (SNNs) offer a biologically plausible framework for energy-efficient neuromorphic computing. However, it is a challenge to train SNNs due to their non-differentiability, efficiently. Existing gradient approximation…

计算机视觉与模式识别 · 计算机科学 2025-08-04 Changqing Xu , Ziqiang Yang , Yi Liu , Xinfang Liao , Guiqi Mo , Hao Zeng , Yintang Yang

We introduce a novel training principle for probabilistic models that is an alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSN) framework is based on learning the transition operator of a Markov chain whose…

机器学习 · 计算机科学 2014-05-27 Yoshua Bengio , Éric Thibodeau-Laufer , Guillaume Alain , Jason Yosinski

Stochastic gradient descent (SGD) is a standard optimization method to minimize a training error with respect to network parameters in modern neural network learning. However, it typically suffers from proliferation of saddle points in the…

机器学习 · 计算机科学 2017-11-23 Haiping Huang , Taro Toyoizumi

Training a neural network using backpropagation algorithm requires passing error gradients sequentially through the network. The backward locking prevents us from updating network layers in parallel and fully leveraging the computing…

机器学习 · 计算机科学 2019-05-30 Zhouyuan Huo , Bin Gu , Heng Huang

Backpropagation is typically presented as a symbolic procedure: a backward pass topologically distinct from inference, with non-local error signals and synchronous global clocking, features with no clear analog in physical reality. Existing…

机器学习 · 计算机科学 2026-05-12 Antonino Emanuele Scurria

Training state-of-the-art ASR systems such as RNN-T often has a high associated financial and environmental cost. Training with a subset of training data could mitigate this problem if the subset selected could achieve on-par performance…

机器学习 · 计算机科学 2022-11-01 Ashish Mittal , Durga Sivasubramanian , Rishabh Iyer , Preethi Jyothi , Ganesh Ramakrishnan

This work presents a novel training technique for deep neural networks that makes use of additional data from a distribution that is different from that of the original input data. This technique aims to reduce overfitting and improve the…

计算机视觉与模式识别 · 计算机科学 2020-06-09 Pravendra Singh , Pratik Mazumder , Vinay P. Namboodiri

Recent research in offline reinforcement learning (RL) has demonstrated that return-conditioned supervised learning is a powerful paradigm for decision-making problems. While promising, return conditioning is limited to training data…

机器学习 · 计算机科学 2023-05-29 Zhihui Xie , Zichuan Lin , Deheng Ye , Qiang Fu , Wei Yang , Shuai Li

Predictive coding (PC) is a general theory of cortical function. The local, gradient-based learning rules found in one kind of PC model have recently been shown to closely approximate backpropagation. This finding suggests that this…

神经与进化计算 · 计算机科学 2021-12-09 Nick Alonso , Emre Neftci

We study the convergence of gradient flow for the training of deep neural networks. If Residual Neural Networks are a popular example of very deep architectures, their training constitutes a challenging optimization problem due notably to…

机器学习 · 计算机科学 2025-07-22 Raphaël Barboni , Gabriel Peyré , François-Xavier Vialard

We introduce a new technique for gradient normalization during neural network training. The gradients are rescaled during the backward pass using normalization layers introduced at certain points within the network architecture. These…

机器学习 · 计算机科学 2021-06-18 Alejandro Cabana , Luis F. Lago-Fernández

Physics-Informed Neural Networks (PINNs) often suffer from slow convergence, training instability, and reduced accuracy on challenging partial differential equations due to the anisotropic and rapidly varying geometry of their loss…

机器学习 · 计算机科学 2026-04-20 Kang An , Chenhao Si , Shiqian Ma , Ming Yan

With increasing scale in model and dataset size, the training of deep neural networks becomes a massive computational burden. One approach to speed up the training process is Selective Backprop. For this approach, we perform a forward pass…

机器学习 · 计算机科学 2023-12-11 Lukas Balles , Cedric Archambeau , Giovanni Zappella

Recurrent Neural Networks (RNNs) have become an integral part of modeling and forecasting frameworks in areas like natural language processing and high-dimensional dynamical systems such as turbulent fluid flows. To improve the accuracy of…

机器学习 · 计算机科学 2023-02-23 Pantelis R. Vlachas , Petros Koumoutsakos

This work is a part of ICLR Reproducibility Challenge 2019, we try to reproduce the results in the conference submission PADAM: Closing The Generalization Gap of Adaptive Gradient Methods In Training Deep Neural Networks. Adaptive gradient…

机器学习 · 计算机科学 2019-01-29 Harshal Mittal , Kartikey Pandey , Yash Kant