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Deep neural networks (DNNs) generate much richer function spaces than shallow networks. Since the function spaces induced by shallow networks have several approximation theoretic drawbacks, this explains, however, not necessarily the…

机器学习 · 统计学 2018-09-25 Konstantin Eckle , Johannes Schmidt-Hieber

With the advancement of deep learning, reducing computational complexity and memory consumption has become a critical challenge, and ternary neural networks (NNs) that restrict parameters to $\{-1, 0, +1\}$ have attracted attention as a…

机器学习 · 计算机科学 2026-04-28 Yuta Nakahara , Manabu Kobayashi , Toshiyasu Matsushima

The activation function deployed in a deep neural network has great influence on the performance of the network at initialisation, which in turn has implications for training. In this paper we study how to avoid two problems at…

机器学习 · 计算机科学 2021-05-18 Michael Murray , Vinayak Abrol , Jared Tanner

We introduce a method to train Binarized Neural Networks (BNNs) - neural networks with binary weights and activations at run-time. At training-time the binary weights and activations are used for computing the parameters gradients. During…

机器学习 · 计算机科学 2016-03-18 Matthieu Courbariaux , Itay Hubara , Daniel Soudry , Ran El-Yaniv , Yoshua Bengio

Binary neural networks (BNNs) constrain weights and activations to +1 or -1 with limited storage and computational cost, which is hardware-friendly for portable devices. Recently, BNNs have achieved remarkable progress and been adopted into…

机器学习 · 计算机科学 2021-10-12 Jiehua Zhang , Zhuo Su , Yanghe Feng , Xin Lu , Matti Pietikäinen , Li Liu

Deep networks are gradually penetrating almost every domain in our lives due to their amazing success. However, with substantive performance accuracy improvements comes the price of \emph{irreproducibility}. Two identical models, trained on…

机器学习 · 计算机科学 2020-12-02 Gil I. Shamir , Dong Lin , Lorenzo Coviello

Recent deep neural networks (DNNs), such as diffusion models [1], have faced high computational demands. Thus, spiking neural networks (SNNs) have attracted lots of attention as energy-efficient neural networks. However, conventional…

神经与进化计算 · 计算机科学 2024-09-04 Dayena Jeong , Jaewoo Park , Jeonghee Jo , Jongkil Park , Jaewook Kim , Hyun Jae Jang , Suyoun Lee , Seongsik Park

This work contributes to the development of a new data-driven method (D-DM) of feedforward neural networks (FNNs) learning. This method was proposed recently as a way of improving randomized learning of FNNs by adjusting the network…

机器学习 · 计算机科学 2021-07-07 Grzegorz Dudek

The machine learning community has become increasingly interested in the energy efficiency of neural networks. The Spiking Neural Network (SNN) is a promising approach to energy-efficient computing, since its activation levels are quantized…

机器学习 · 计算机科学 2021-03-03 Aaron R. Voelker , Daniel Rasmussen , Chris Eliasmith

Overwhelming theoretical and empirical evidence shows that mildly overparametrized neural networks -- those with more connections than the size of the training data -- are often able to memorize the training data with $100\%$ accuracy. This…

机器学习 · 计算机科学 2020-06-04 Roman Vershynin

Large Language Models (LLMs) with billions of parameters have drastically transformed AI applications. However, their demanding computation during inference has raised significant challenges for deployment on resource-constrained devices.…

Deep neural network (DNN) typically involves convolutions, pooling, and activation function. Due to the growing concern about privacy, privacy-preserving DNN becomes a hot research topic. Generally, the convolution and pooling operations…

密码学与安全 · 计算机科学 2024-03-04 Qian Feng , Zhihua Xia , Zhifeng Xu , Jiasi Weng , Jian Weng

We propose ReDense as a simple and low complexity way to improve the performance of trained neural networks. We use a combination of random weights and rectified linear unit (ReLU) activation function to add a ReLU dense (ReDense) layer to…

机器学习 · 计算机科学 2020-10-27 Alireza M. Javid , Sandipan Das , Mikael Skoglund , Saikat Chatterjee

The training of artificial neural networks (ANNs) with rectified linear unit (ReLU) activation via gradient descent (GD) type optimization schemes is nowadays a common industrially relevant procedure. Till this day in the scientific…

机器学习 · 计算机科学 2023-04-13 Simon Eberle , Arnulf Jentzen , Adrian Riekert , Georg S. Weiss

Activation functions are crucial in graph neural networks (GNNs) as they allow defining a nonlinear family of functions to capture the relationship between the input graph data and their representations. This paper proposes activation…

信号处理 · 电气工程与系统科学 2020-09-16 Bianca Iancu , Luana Ruiz , Alejandro Ribeiro , Elvin Isufi

This study explores novel activation functions that enhance the ability of neural networks to manipulate data topology during training. Building on the limitations of traditional activation functions like $\mathrm{ReLU}$, we propose…

机器学习 · 计算机科学 2025-07-18 Pavel Snopov , Oleg R. Musin

In this article we investigate blow up phenomena for gradient descent optimization methods in the training of artificial neural networks (ANNs). Our theoretical analysis is focused on shallow ANNs with one neuron on the input layer, one…

最优化与控制 · 数学 2022-11-29 Davide Gallon , Arnulf Jentzen , Felix Lindner

We introduce a variational framework to learn the activation functions of deep neural networks. Our aim is to increase the capacity of the network while controlling an upper-bound of the actual Lipschitz constant of the input-output…

机器学习 · 计算机科学 2023-07-19 Shayan Aziznejad , Harshit Gupta , Joaquim Campos , Michael Unser

Fully connected deep neural networks are successfully applied to classification and function approximation problems. By minimizing the cost function, i.e., finding the proper weights and biases, models can be built for accurate predictions.…

机器学习 · 计算机科学 2024-07-25 Qingguang Guan

In this paper, we propose several ideas for enhancing a binary network to close its accuracy gap from real-valued networks without incurring any additional computational cost. We first construct a baseline network by modifying and…

计算机视觉与模式识别 · 计算机科学 2020-07-14 Zechun Liu , Zhiqiang Shen , Marios Savvides , Kwang-Ting Cheng
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