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Recursive least squares (RLS) algorithms were once widely used for training small-scale neural networks, due to their fast convergence. However, previous RLS algorithms are unsuitable for training deep neural networks (DNNs), since they…

Machine Learning · Computer Science 2021-09-08 Chunyuan Zhang , Qi Song , Hui Zhou , Yigui Ou , Hongyao Deng , Laurence Tianruo Yang

Modern deep neural networks have a large number of parameters, making them very hard to train. We propose DSD, a dense-sparse-dense training flow, for regularizing deep neural networks and achieving better optimization performance. In the…

Computer Vision and Pattern Recognition · Computer Science 2017-02-23 Song Han , Jeff Pool , Sharan Narang , Huizi Mao , Enhao Gong , Shijian Tang , Erich Elsen , Peter Vajda , Manohar Paluri , John Tran , Bryan Catanzaro , William J. Dally

An important class of problems involves training deep neural networks with sparse prediction targets of very high dimension D. These occur naturally in e.g. neural language models or the learning of word-embeddings, often posed as…

Neural and Evolutionary Computing · Computer Science 2016-06-28 Pascal Vincent , Alexandre de Brébisson , Xavier Bouthillier

We rigorously evaluate three state-of-the-art techniques for inducing sparsity in deep neural networks on two large-scale learning tasks: Transformer trained on WMT 2014 English-to-German, and ResNet-50 trained on ImageNet. Across thousands…

Machine Learning · Computer Science 2019-02-27 Trevor Gale , Erich Elsen , Sara Hooker

Sparsity helps reduce the computational complexity of deep neural networks by skipping zeros. Taking advantage of sparsity is listed as a high priority in next generation DNN accelerators such as TPU. The structure of sparsity, i.e., the…

Machine Learning · Computer Science 2017-06-06 Huizi Mao , Song Han , Jeff Pool , Wenshuo Li , Xingyu Liu , Yu Wang , William J. Dally

Despite the non-convex nature of their loss functions, deep neural networks are known to generalize well when optimized with stochastic gradient descent (SGD). Recent work conjectures that SGD with proper configuration is able to find wide…

Machine Learning · Computer Science 2019-04-09 Haowei He , Gao Huang , Yang Yuan

Synchronous stochastic gradient descent (SGD) is the most common method used for distributed training of deep learning models. In this algorithm, each worker shares its local gradients with others and updates the parameters using the…

Machine Learning · Computer Science 2020-09-22 Negar Foroutan Eghlidi , Martin Jaggi

Network pruning can reduce the high computation cost of deep neural network (DNN) models. However, to maintain their accuracies, sparse models often carry randomly-distributed weights, leading to irregular computations. Consequently, sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-01 Cong Guo , Bo Yang Hsueh , Jingwen Leng , Yuxian Qiu , Yue Guan , Zehuan Wang , Xiaoying Jia , Xipeng Li , Minyi Guo , Yuhao Zhu

We tackle the problem of predicting the number of optimization steps that a pre-trained deep network needs to converge to a given value of the loss function. To do so, we leverage the fact that the training dynamics of a deep network during…

Machine Learning · Computer Science 2020-08-31 Luca Zancato , Alessandro Achille , Avinash Ravichandran , Rahul Bhotika , Stefano Soatto

Deep neural networks achieve state-of-the-art results on several tasks while increasing in complexity. It has been shown that neural networks can be pruned during training by imposing sparsity inducing regularizers. In this paper, we…

Machine Learning · Statistics 2019-08-12 Chaithanya Kumar Mummadi , Tim Genewein , Dan Zhang , Thomas Brox , Volker Fischer

Generalization is one of the most important problems in deep learning (DL). In the overparameterized regime in neural networks, there exist many low-loss solutions that fit the training data equally well. The key question is which solution…

Disordered Systems and Neural Networks · Physics 2023-06-21 Ning Yang , Chao Tang , Yuhai Tu

Structured sparsity regularization offers a principled way to compact neural networks, but its non-differentiability breaks compatibility with conventional stochastic gradient descent and requires either specialized optimizers or additional…

Machine Learning · Computer Science 2025-10-28 Chris Kolb , Laetitia Frost , Bernd Bischl , David Rügamer

Deep neural networks (DNNs) have demonstrated dominating performance in many fields; since AlexNet, networks used in practice are going wider and deeper. On the theoretical side, a long line of works has been focusing on training neural…

Machine Learning · Computer Science 2019-06-18 Zeyuan Allen-Zhu , Yuanzhi Li , Zhao Song

The optimization of over-parameterized deep neural networks represents a large-scale, high-dimensional, and strongly non-convex decision problem that challenges existing optimization frameworks. Current evolutionary and gradient-based…

Neural and Evolutionary Computing · Computer Science 2026-04-02 Zak Khan , Azam Asilian Bidgoli

Stochastic gradient descent (SGD) provides a simple and efficient way to solve a broad range of machine learning problems. Here, we focus on distribution regression (DR), involving two stages of sampling: Firstly, we regress from…

Machine Learning · Statistics 2021-03-08 Nicole Mücke

A wide range of optimization problems arising in machine learning can be solved by gradient descent algorithms, and a central question in this area is how to efficiently compress a large-scale dataset so as to reduce the computational…

Machine Learning · Computer Science 2022-10-11 Jiawei Huang , Ruomin Huang , Wenjie Liu , Nikolaos M. Freris , Hu Ding

Network pruning is a widely used technique to reduce computation cost and model size for deep neural networks. However, the typical three-stage pipeline significantly increases the overall training time. In this paper, we develop a…

Neural and Evolutionary Computing · Computer Science 2023-04-11 Shanglin Zhou , Mikhail A. Bragin , Lynn Pepin , Deniz Gurevin , Fei Miao , Caiwen Ding

Stochastic Gradient Descent (SGD) has become one of the most popular optimization methods for training machine learning models on massive datasets. However, SGD suffers from two main drawbacks: (i) The noisy gradient updates have high…

Machine Learning · Computer Science 2017-04-10 Soham De , Tom Goldstein

Stochastic gradient descent (SGD) is a popular and efficient method with wide applications in training deep neural nets and other nonconvex models. While the behavior of SGD is well understood in the convex learning setting, the existing…

Machine Learning · Computer Science 2019-12-16 Yunwen Lei , Ting Hu , Guiying Li , Ke Tang

Current methods for pruning neural network weights iteratively apply magnitude-based pruning on the model weights and re-train the resulting model to recover lost accuracy. In this work, we show that such strategies do not allow for the…

Machine Learning · Computer Science 2022-02-04 Suraj Srinivas , Andrey Kuzmin , Markus Nagel , Mart van Baalen , Andrii Skliar , Tijmen Blankevoort