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New to neuroscience with implications for AI, the exclusive OR, or any other Boolean gate may be biologically accomplished within a single region where active dendrites merge. This is demonstrated below using dynamic circuit analysis.…

Neural and Evolutionary Computing · Computer Science 2010-09-24 John Robert Burger

Training an artificial neural network involves an optimization process over the landscape defined by the cost (loss) as a function of the network parameters. We explore these landscapes using optimisation tools developed for potential…

Machine Learning · Statistics 2018-05-30 Dhagash Mehta , Xiaojun Zhao , Edgar A. Bernal , David J. Wales

Adiabatic quantum computing is an analog quantum computing scheme with various applications in solving optimization problems. In the parity picture of quantum optimization, the problem is encoded in local fields that act on qubits which are…

Quantum Physics · Physics 2016-04-11 Martin Leib , Peter Zoller , Wolfgang Lechner

A natural p-classes generalization of the eXclusive OR problem, the subtraction modulo p, where p is prime, is presented and solved using a single fully connected hidden layer with p-neurons. Although the problem is very simple, the…

Machine Learning · Computer Science 2018-12-19 Danielle Thierry-Mieg , Jean Thierry-Mieg

Given a differentiable network architecture and loss function, we revisit optimizing the network's neurons in function space using Boosted Backpropagation (Grubb & Bagnell, 2010), in contrast to optimizing in parameter space. From this…

Machine Learning · Computer Science 2025-02-04 Daniel Munoz

We propose an analog implementation of the transcendental activation function leveraging two spin-orbit torque magnetoresistive random-access memory (SOT-MRAM) devices and a CMOS inverter. The proposed analog neuron circuit consumes 1.8-27x…

Emerging Technologies · Computer Science 2022-06-10 Md Hasibul Amin , Mohammed Elbtity , Mohammadreza Mohammadi , Ramtin Zand

We propose a new variant of the controlled-NOT quantum logic gate based on adiabatic level-crossing dynamics of the q-bits. The gate has a natural implementation in terms of the Cooper pair transport in arrays of small Josephson tunnel…

Quantum Physics · Physics 2009-10-30 D. V. Averin

Representations of multivariate functions with low-dimensional functions that depend on subsets of original coordinates (corresponding of different orders of coupling) are useful in quantum dynamics and other applications, especially where…

Machine Learning · Computer Science 2024-06-26 Sergei Manzhos , Manabu Ihara

We consider artificial neurons which will update their weight coefficients with an internal rule based on backpropagation, rather than using it as an external training procedure. To achieve this we include the backpropagation error estimate…

Neural and Evolutionary Computing · Computer Science 2018-08-07 M. N. Nazarov

Much of studies on neural computation are based on network models of static neurons that produce analog output, despite the fact that information processing in the brain is predominantly carried out by dynamic neurons that produce discrete…

Neurons and Cognition · Quantitative Biology 2017-06-21 Dongsung Huh , Terrence J. Sejnowski

This paper presents an implementation of multilayer feed forward neural networks (NN) to optimize CMOS analog circuits. For modeling and design recently neural network computational modules have got acceptance as an unorthodox and useful…

Neural and Evolutionary Computing · Computer Science 2012-12-13 Mriganka Chakraborty

The optimization of Binary Neural Networks (BNNs) relies on approximating the real-valued weights with their binarized representations. Current techniques for weight-updating use the same approaches as traditional Neural Networks (NNs) with…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Cuauhtemoc Daniel Suarez-Ramirez , Miguel Gonzalez-Mendoza , Leonardo Chang-Fernandez , Gilberto Ochoa-Ruiz , Mario Alberto Duran-Vega

Hyperbolic tangent and Sigmoid functions are used as non-linear activation units in the artificial and deep neural networks. Since, these networks are computationally expensive, customized accelerators are designed for achieving the…

Hardware Architecture · Computer Science 2021-03-05 Mahesh Chandra

All-optical neural networks (AONNs) promise transformative gains in speed and energy efficiency for artificial intelligence (AI) by leveraging the intrinsic parallelism and wave nature of light. However, their scalability has been…

Optics · Physics 2025-12-09 Ruben Canora , Xinzhe Xu , Ziqi Niu , Hadiseh Alaeian , Shengwang Du

We discuss a tensor network method for constructing the adiabatic gauge potential -- the generator of adiabatic transformations -- as a matrix product operator, which allows us to adiabatically transport matrix product states. Adiabatic…

Quantum Physics · Physics 2024-06-17 Hyeongjin Kim , Matthew T. Fishman , Dries Sels

The stochastic gradient descent (SGD) optimizers are generally used to train the convolutional neural networks (CNNs). In recent years, several adaptive momentum based SGD optimizers have been introduced, such as Adam, diffGrad, Radam and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Shiv Ram Dubey , Satish Kumar Singh , Bidyut Baran Chaudhuri

The choice of activation function can significantly influence the performance of neural networks. The lack of guiding principles for the selection of activation function is lamentable. We try to address this issue by introducing our…

Machine Learning · Computer Science 2018-10-16 Yiwei Li , Enzhi Li

This study presents a distributed gradient-based approach to solve system optimal dynamic traffic assignment (SODTA) formulated based on the cell transmission model. The algorithm distributes SODTA into local sub-problems, who find optimal…

Optimization and Control · Mathematics 2021-12-30 Mehrzad Mehrabipour , Ali Hajbabaie

In this paper, we consider a class of convex programming problems with linear equality constraints, which finds broad applications in machine learning and signal processing. We propose a new adaptive balanced augmented Lagrangian (ABAL)…

Signal Processing · Electrical Eng. & Systems 2024-10-22 Jiageng Wu , Bo Jiang , Xinxin Li , Ya-Feng Liu , Jianhua Yuan

The human brain can self-organize rich and diverse sparse neural pathways to incrementally master hundreds of cognitive tasks. However, most existing continual learning algorithms for deep artificial and spiking neural networks are unable…

Neural and Evolutionary Computing · Computer Science 2026-05-06 Bing Han , Feifei Zhao , Wenxuan Pan , Zhuoya Zhao , Xianqi Li , Qingqun Kong , Yi Zeng