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The Neural Tangent Kernel (NTK) has recently attracted intense study, as it describes the evolution of an over-parameterized Neural Network (NN) trained by gradient descent. However, it is now well-known that gradient descent is not always…

Machine Learning · Computer Science 2021-03-23 Lei Tan , Shutong Wu , Xiaolin Huang

Methods such as Layer Normalization (LN) and Batch Normalization (BN) have proven to be effective in improving the training of Recurrent Neural Networks (RNNs). However, existing methods normalize using only the instantaneous information at…

Machine Learning · Computer Science 2022-09-30 Cole Pospisil , Vasily Zadorozhnyy , Qiang Ye

Initialising the synaptic weights of artificial neural networks (ANNs) with orthogonal matrices is known to alleviate vanishing and exploding gradient problems. A major objection against such initialisation schemes is that they are deemed…

Neural and Evolutionary Computing · Computer Science 2023-03-23 Nikolay Manchev , Michael Spratling

In recent years, the prosperity of deep learning has revolutionized the Artificial Neural Networks. However, the dependence of gradients and the offline training mechanism in the learning algorithms prevents the ANN for further improvement.…

Machine Learning · Computer Science 2020-10-07 Chong Chen , Qinghui Xing , Xin Ding , Yaru Xue , Tianfu Zhong

Weight averaging is a widely used technique for accelerating training and improving the generalization of deep neural networks (DNNs). While existing approaches like stochastic weight averaging (SWA) rely on pre-set weighting schemes, they…

Machine Learning · Computer Science 2025-02-11 Tao Li , Zhehao Huang , Yingwen Wu , Zhengbao He , Qinghua Tao , Xiaolin Huang , Chih-Jen Lin

We introduce a data-free quantization method for deep neural networks that does not require fine-tuning or hyperparameter selection. It achieves near-original model performance on common computer vision architectures and tasks. 8-bit…

Machine Learning · Computer Science 2019-11-26 Markus Nagel , Mart van Baalen , Tijmen Blankevoort , Max Welling

Neural architecture search (NAS) for Graph neural networks (GNNs), called NAS-GNNs, has achieved significant performance over manually designed GNN architectures. However, these methods inherit issues from the conventional NAS methods, such…

Machine Learning · Computer Science 2023-06-19 Peng Xu , Lin Zhang , Xuanzhou Liu , Jiaqi Sun , Yue Zhao , Haiqin Yang , Bei Yu

Neural networks, a central tool in machine learning, have demonstrated remarkable, high fidelity performance on image recognition and classification tasks. These successes evince an ability to accurately represent high dimensional…

Machine Learning · Statistics 2023-02-08 Grant M. Rotskoff , Eric Vanden-Eijnden

Training artificial neural networks requires a tedious empirical evaluation to determine a suitable neural network architecture. To avoid this empirical process several techniques have been proposed to automatise the architecture selection…

Quantum Physics · Physics 2016-03-08 Adenilton J. da Silva , Wilson R. de Oliveira , Teresa B. Ludermir

Over-parameterization is one of the inherent characteristics of modern deep neural networks, which can often be overcome by leveraging regularization methods, such as Dropout. Usually, these methods are applied globally and all the input…

Neural and Evolutionary Computing · Computer Science 2022-04-05 Li Ding , Lee Spector

Deep Neural Networks (DNNs) are applied in a wide range of usecases. There is an increased demand for deploying DNNs on devices that do not have abundant resources such as memory and computation units. Recently, network compression through…

Machine Learning · Computer Science 2020-05-19 Haichuan Yang , Shupeng Gui , Yuhao Zhu , Ji Liu

This paper proposes a computational procedure that applies a quantum algorithm to train classical artificial neural networks. The goal of the procedure is to apply quantum walk as a search algorithm in a complete graph to find all synaptic…

Quantum Physics · Physics 2021-09-06 Luciano S. de Souza , Jonathan H. A. de Carvalho , Tiago A. E. Ferreira

Binary Neural Networks (BNNs) significantly reduce computational complexity and memory usage in machine and deep learning by representing weights and activations with just one bit. However, most existing training algorithms for BNNs rely on…

Machine Learning · Computer Science 2025-12-08 Luca Colombo , Fabrizio Pittorino , Manuel Roveri

This work is substituted by the paper in arXiv:2011.14066. Stochastic gradient descent is the de facto algorithm for training deep neural networks (DNNs). Despite its popularity, it still requires fine tuning in order to achieve its best…

Machine Learning · Statistics 2020-12-02 Vatsal Shah , Anastasios Kyrillidis , Sujay Sanghavi

An Undirected Weighted Network (UWN) is commonly found in big data-related applications. Note that such a network's information connected with its nodes, and edges can be expressed as a Symmetric, High-Dimensional and Incomplete (SHDI)…

Machine Learning · Computer Science 2023-06-07 Yurong Zhong , Zhe Xie , Weiling Li , Xin Luo

We introduce Graph Normalization (GN), a principled dynamical system on graphs that serves as a differentiable approximation engine for the NP-hard Maximum Weight Independent Set (MWIS) problem. MWIS encompasses many combinatorial…

Machine Learning · Computer Science 2026-05-08 Laurent Guigues

This paper addresses the topic of sparsifying deep neural networks (DNN's). While DNN's are powerful models that achieve state-of-the-art performance on a large number of tasks, the large number of model parameters poses serious storage and…

Machine Learning · Computer Science 2018-02-07 Igor Fedorov , Bhaskar D. Rao

Landmark universal function approximation results for neural networks with trained weights and biases provided the impetus for the ubiquitous use of neural networks as learning models in neuroscience and Artificial Intelligence (AI). Recent…

Neural and Evolutionary Computing · Computer Science 2025-03-25 Ezekiel Williams , Alexandre Payeur , Avery Hee-Woon Ryoo , Thomas Jiralerspong , Matthew G. Perich , Luca Mazzucato , Guillaume Lajoie

Ensembles of neural network weight matrices are studied through the training process for the MNIST classification problem, testing the efficacy of matrix models for representing their distributions, under assumptions of Gaussianity and…

Machine Learning · Computer Science 2025-10-08 Edward Hirst , Sanjaye Ramgoolam

Training deep neural networks for solving machine learning problems is one great challenge in the field, mainly due to its associated optimisation problem being highly non-convex. Recent developments have suggested that many training…

Machine Learning · Computer Science 2017-11-23 Hao Shen