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Large neural networks spend most computation on floating point tensor multiplications. In this work, we find that a floating point multiplier can be approximated by one integer adder with high precision. We propose the linear-complexity…

Computation and Language · Computer Science 2024-10-03 Hongyin Luo , Wei Sun

Deploying deep learning models on mobile devices draws more and more attention recently. However, designing an efficient inference engine on devices is under the great challenges of model compatibility, device diversity, and resource…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Xiaotang Jiang , Huan Wang , Yiliu Chen , Ziqi Wu , Lichuan Wang , Bin Zou , Yafeng Yang , Zongyang Cui , Yu Cai , Tianhang Yu , Chengfei Lv , Zhihua Wu

The universal approximation theorem states that a neural network with one hidden layer can approximate continuous functions on compact sets with any desired precision. This theorem supports using neural networks for various applications,…

Machine Learning · Computer Science 2024-08-13 Marcos Eduardo Valle , Wington L. Vital , Guilherme Vieira

Feed-forward, fully-connected Artificial Neural Networks (ANNs) or the so-called Multi-Layer Perceptrons (MLPs) are well-known universal approximators. However, their learning performance varies significantly depending on the function or…

Computer Vision and Pattern Recognition · Computer Science 2019-10-21 Serkan Kiranyaz , Turker Ince , Alexandros Iosifidis , Moncef Gabbouj

With the increasing computational demands of neural networks, many hardware accelerators for the neural networks have been proposed. Such existing neural network accelerators often focus on popular neural network types such as convolutional…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-13 Tae Jun Ham , Sung Jun Jung , Seonghak Kim , Young H. Oh , Yeonhong Park , Yoonho Song , Jung-Hun Park , Sanghee Lee , Kyoung Park , Jae W. Lee , Deog-Kyoon Jeong

We propose o1Neuro, a new neural network model built on sparse indicator activation neurons, with two key statistical properties. (1) Constructive universal approximation: At the population level, a deep o1Neuro can approximate any…

Machine Learning · Statistics 2025-09-15 Chien-Ming Chi

Meta-optics promises compact, high-performance imaging and color routing. However, designing high-performance structures is a high-dimensional optimization problem: mapping a desired optical output back to a physical 3D structure requires…

Machine Learning · Computer Science 2026-04-21 Chanik Kang , Hyewon Suk , Haejun Chung

The success of Neural networks in providing miraculous results when applied to a wide variety of tasks is astonishing. Insight in the working can be obtained by studying the universal approximation property of neural networks. It is proved…

Machine Learning · Computer Science 2021-11-17 R Subhash Chandra Bose , Kakarla Yaswanth

Large-scale artificial neural networks have shown significant promise in addressing a wide range of classification and recognition applications. However, their large computational requirements stretch the capabilities of computing…

Neural and Evolutionary Computing · Computer Science 2017-11-13 Syed Shakib Sarwar , Swagath Venkataramani , Anand Raghunathan , Kaushik Roy

With the ever increasing application of Convolutional Neural Networks to customer products the need emerges for models to efficiently run on embedded, mobile hardware. Slimmer models have therefore become a hot research topic with various…

Computer Vision and Pattern Recognition · Computer Science 2018-06-06 Ido Freeman , Lutz Roese-Koerner , Anton Kummert

We describe a model element able to perform universal stochastic approximations of continuous multivariable functions in both neuron-like and quantum form. The implementation of this model in the form of a multi-barrier, multiple-slit…

Quantum Physics · Physics 2007-05-23 A. A. Ezhov , A. G. Khromov , G. P. Berman

Dedicated hardware accelerators are suitable for parallel computational tasks. Moreover, they have the tendency to accept inexact results. These hardware accelerators are extensively used in image processing and computer vision…

Signal Processing · Electrical Eng. & Systems 2020-01-14 Mahmoud Masadeh , Osman Hasan , Sofiene Tahar

We show that a neural network whose output is obtained as the difference of the outputs of two feedforward networks with exponential activation function in the hidden layer and logarithmic activation function in the output node (LSE…

Neural and Evolutionary Computing · Computer Science 2019-05-22 Giuseppe C. Calafiore , Stephane Gaubert , Member , Corrado Possieri

Tensor network contractions are widely used in statistical physics, quantum computing, and computer science. We introduce a method to efficiently approximate tensor network contractions using low-rank approximations, where each intermediate…

Quantum Physics · Physics 2025-01-01 Linjian Ma , Matthew Fishman , Miles Stoudenmire , Edgar Solomonik

We show in this paper that a one-layer feedforward neural network with exponential activation functions in the inner layer and logarithmic activation in the output neuron is an universal approximator of convex functions. Such a network…

Neural and Evolutionary Computing · Computer Science 2020-03-09 Giuseppe C. Calafiore , Stephane Gaubert , Corrado Possieri

This work presents a machine learning approach to optimize the energy efficiency (EE) in a multi-cell wireless network. This optimization problem is non-convex and its global optimum is difficult to find. In the literature, either simple…

Signal Processing · Electrical Eng. & Systems 2023-12-18 Bile Peng , Karl-Ludwig Besser , Ramprasad Raghunath , Eduard A. Jorswieck

Universal approximation theorems provide a mathematical explanation for the expressive power of neural networks. They assert that, under mild conditions on the activation function, feedforward neural networks are dense in broad function…

Machine Learning · Computer Science 2026-05-21 Soumendu Sundar Mukherjee , Himasish Talukdar

Optical neural networks (ONN) based on micro-ring resonators (MRR) have emerged as a promising alternative to significantly accelerating the massive matrix-vector multiplication (MVM) operations in artificial intelligence (AI) applications.…

Hardware Architecture · Computer Science 2024-09-10 Bo Xu , Yuetong Fang , Shaoliang Yu , Renjing Xu

Neuromorphic architectures, which incorporate parallel and in-memory processing, are crucial for accelerating artificial neural network (ANN) computations. This work presents a novel memristor-based multi-layer neural network (memristive…

Emerging Technologies · Computer Science 2025-07-29 Santlal Prajapat , Manobendra Nath Mondal , Susmita Sur-Kolay

This paper studies the single image super-resolution problem using adder neural networks (AdderNet). Compared with convolutional neural networks, AdderNet utilizing additions to calculate the output features thus avoid massive energy…

Image and Video Processing · Electrical Eng. & Systems 2021-05-05 Dehua Song , Yunhe Wang , Hanting Chen , Chang Xu , Chunjing Xu , Dacheng Tao