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We prove linear convergence of gradient descent to a global optimum for the training of deep residual networks with constant layer width and smooth activation function. We show that if the trained weights, as a function of the layer index,…

Machine Learning · Computer Science 2023-01-26 Rama Cont , Alain Rossier , RenYuan Xu

Recent developments in large-scale machine learning suggest that by scaling up data, model size and training time properly, one might observe that improvements in pre-training would transfer favorably to most downstream tasks. In this work,…

Machine Learning · Computer Science 2021-10-06 Samira Abnar , Mostafa Dehghani , Behnam Neyshabur , Hanie Sedghi

The learning rate (LR) is one of the most important hyper-parameters in stochastic gradient descent (SGD) algorithm for training deep neural networks (DNN). However, current hand-designed LR schedules need to manually pre-specify a fixed…

Machine Learning · Computer Science 2021-05-14 Jun Shu , Yanwen Zhu , Qian Zhao , Zongben Xu , Deyu Meng

Over-parametrization has become a popular technique in deep learning. It is observed that by over-parametrization, a larger neural network needs a fewer training iterations than a smaller one to achieve a certain level of performance --…

Machine Learning · Computer Science 2021-09-29 Jun-Kun Wang , Jacob Abernethy

It is shown that over-parameterized neural networks can achieve minimax optimal rates of convergence (up to logarithmic factors) for learning functions from certain smooth function classes, if the weights are suitably constrained or…

Machine Learning · Statistics 2024-06-05 Yunfei Yang , Ding-Xuan Zhou

Deep learning models require a large amount of data to perform well. When data is scarce for a target task, we can transfer the knowledge gained by training on similar tasks to quickly learn the target. A successful approach is…

Machine Learning · Computer Science 2021-03-18 Alberto Bernacchia

In this work, we address the question of the adaptability of artificial neural networks (NNs) used for impairments mitigation in optical transmission systems. We demonstrate that by using well-developed techniques based on the concept of…

Signal Processing · Electrical Eng. & Systems 2022-01-05 Pedro J. Freire , Daniel Abode , Jaroslaw E. Prilepsky , Nelson Costa , Bernhard Spinnler , Antonio Napoli , Sergei K. Turitsyn

In this paper, a novel multi-head multi-layer perceptron (MLP) structure is presented for implicit neural representation (INR). Since conventional rectified linear unit (ReLU) networks are shown to exhibit spectral bias towards learning…

Machine Learning · Computer Science 2022-02-28 Arya Aftab , Alireza Morsali

We study the generalization of two-layer ReLU neural networks in a univariate nonparametric regression problem with noisy labels. This is a problem where kernels (\emph{e.g.} NTK) are provably sub-optimal and benign overfitting does not…

Machine Learning · Computer Science 2024-06-12 Dan Qiao , Kaiqi Zhang , Esha Singh , Daniel Soudry , Yu-Xiang Wang

Reinforcement learning (RL) is well known for requiring large amounts of data in order for RL agents to learn to perform complex tasks. Recent progress in model-based RL allows agents to be much more data-efficient, as it enables them to…

Machine Learning · Computer Science 2021-08-17 Remo Sasso , Matthia Sabatelli , Marco A. Wiering

Many reinforcement learning (RL) algorithms are too costly to use in practice due to the large sizes $S, A$ of the problem's state and action space. To resolve this issue, we study transfer RL with latent low rank structure. We consider the…

Machine Learning · Computer Science 2024-10-30 Tyler Sam , Yudong Chen , Christina Lee Yu

Deep networks are able to learn highly predictive models of video data. Due to video length, a common strategy is to train them on small video snippets. We apply the deep Taylor / LRP technique to understand the deep network's…

Machine Learning · Computer Science 2018-06-20 Christopher Anders , Grégoire Montavon , Wojciech Samek , Klaus-Robert Müller

It is well understood that neural networks with carefully hand-picked weights provide powerful function approximation and that they can be successfully trained in over-parametrized regimes. Since over-parametrization ensures zero training…

Machine Learning · Computer Science 2024-05-21 G. Welper

This paper presents meta-sparsity, a framework for learning model sparsity, basically learning the parameter that controls the degree of sparsity, that allows deep neural networks (DNNs) to inherently generate optimal sparse shared…

Machine Learning · Computer Science 2025-01-22 Richa Upadhyay , Ronald Phlypo , Rajkumar Saini , Marcus Liwicki

The performance of Transformer models has been enhanced by increasing the number of parameters and the length of the processed text. Consequently, fine-tuning the entire model becomes a memory-intensive process. High-performance methods for…

Computation and Language · Computer Science 2024-10-11 Viktoriia Chekalina , Anna Rudenko , Gleb Mezentsev , Alexander Mikhalev , Alexander Panchenko , Ivan Oseledets

We propose a novel adaptive transfer learning framework, learning to transfer learn (L2TL), to improve performance on a target dataset by careful extraction of the related information from a source dataset. Our framework considers…

Machine Learning · Computer Science 2020-07-17 Linchao Zhu , Sercan O. Arik , Yi Yang , Tomas Pfister

Convolutional Neural Networks (CNNs) are models that are utilized extensively for the hierarchical extraction of features. Vision transformers (ViTs), through the use of a self-attention mechanism, have recently achieved superior modeling…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Ali Jamali , Swalpa Kumar Roy , Danfeng Hong , Peter M Atkinson , Pedram Ghamisi

The universal approximation property is fundamental to the success of neural networks, and has traditionally been achieved by training networks without any constraints on their parameters. However, recent experimental research proposed a…

Machine Learning · Computer Science 2025-03-21 Yongqiang Cai , Gaohang Chen , Zhonghua Qiao

Optimizing the channel counts for different layers of a CNN has shown great promise in improving the efficiency of CNNs at test-time. However, these methods often introduce large computational overhead (e.g., an additional 2x FLOPs of…

Computer Vision and Pattern Recognition · Computer Science 2021-04-28 Ting-Wu Chin , Diana Marculescu , Ari S. Morcos

This paper examines the maximum code rate achievable by a data-driven communication system over some unknown discrete memoryless channel in the finite blocklength regime. A class of channel codes, called learning-based channel codes, is…

Information Theory · Computer Science 2023-07-18 Neil Irwin Bernardo , Jingge Zhu , Jamie Evans
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