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Systems that capture and process analog signals must first acquire them through an analog-to-digital converter. While subsequent digital processing can remove statistical correlations present in the acquired data, the dynamic range of the…

信息论 · 计算机科学 2019-01-30 Or Ordentlich , Gizem Tabak , Pavan Kumar Hanumolu , Andrew C. Singer , Gregory W. Wornell

In this paper, we investigate few memristor-based analog circuits namely the phase shift oscillator, integrator, and differentiator which have been explored numerously using the traditional lumped components. We use LTspice-IV platform for…

新兴技术 · 计算机科学 2017-03-31 G. S. Patil , S. R. Ghatage , P. K. Gaikwad , R. K. Kamat , T. D. Dongale

The Ising machine is an unconventional computing architecture that can be used to solve NP-hard combinatorial optimization problems more efficiently than traditional von Neumann architectures. Fast, compact oscillator networks which provide…

计算物理 · 物理学 2021-10-20 Brooke C. McGoldrick , Jonathan Z. Sun , Luqiao Liu

In this paper, we report new results on a novel Ising machine technology for solving combinatorial optimization problems using networks of coupled self-sustaining oscillators. Specifically, we present several working hardware prototypes…

新兴技术 · 计算机科学 2019-04-24 Tianshi Wang , Leon Wu , Jaijeet Roychowdhury

The advancement of artificial intelligence demands flexible multimodal data processing with high throughput and energy efficiency. Photonic integrated circuits (PIC) has demonstrated promising potentials in terms of low latency and low…

Analog computing based on memristor technology is a promising solution to accelerating the inference phase of deep neural networks (DNNs). A fundamental problem is to map an arbitrary matrix to a memristor crossbar array (MCA) while…

新兴技术 · 计算机科学 2019-11-28 Baogang Zhang , Necati Uysal , Deliang Fan , Rickard Ewetz

In this paper we review recent work on novel computing paradigms using coupled oscillatory dynamical systems. We explore systems of relaxation oscillators based on linear state transitioning devices, which switch between two discrete states…

新兴技术 · 计算机科学 2016-08-22 Abhinav Parihar , Nikhil Shukla , Matthew Jerry , Suman Datta , Arijit Raychowdhury

In the last decades, great achievements have been made in the development of computing machines. However, due to exponential growth of transistor density and in particular due to tremendously increasing power consumption, researchers expect…

新兴技术 · 计算机科学 2014-07-03 Piyush Gautam

Artificial neural networks are intensively used to perform cognitive tasks such as image classification on traditional computers. With the end of CMOS scaling and increasing demand for efficient neural networks, alternative architectures…

新兴技术 · 计算机科学 2017-11-29 Damir Vodenicarevic , Nicolas Locatelli , Damien Querlioz

The dynamical low-rank approximation of time-dependent matrices is a low-rank factorization updating technique. It leads to differential equations for factors of the matrices, which need to be solved numerically. We propose and analyze a…

数值分析 · 数学 2013-01-09 Christian Lubich , Ivan Oseledets

A numerical integrator is presented that computes a symmetric or skew-symmetric low-rank approximation to large symmetric or skew-symmetric time-dependent matrices that are either given explicitly or are the unknown solution to a matrix…

数值分析 · 数学 2024-09-23 Gianluca Ceruti , Christian Lubich

Building oscillator based computing systems with emerging nano-device technologies has become a promising solution for unconventional computing tasks like computer vision and pattern recognition. However, simulation and analysis of these…

新兴技术 · 计算机科学 2016-11-15 Yan Fang , Victor V. Yashin , Donald M. Chiarulli , Steven P. Levitan

The numerical simulation of structural mechanics applications via finite elements usually requires the solution of large-size and ill-conditioned linear systems, especially when accurate results are sought for derived variables interpolated…

Stochastic computing (SC) is an emerging computing technique that promises high density, low power, and error tolerant solutions. In SC, values are encoded as unary bitstreams and SC arithmetic circuits operate on one or more bitstreams. In…

信号处理 · 电气工程与系统科学 2018-03-14 Vincent T. Lee , Armin Alaghi , Luis Ceze

We introduce a quantum linear system solving algorithm based on the Kaczmarz method, a widely used workhorse for large linear systems and least-squares problems that updates the solution by enforcing one equation at a time. Its simplicity…

量子物理 · 物理学 2026-01-06 Nhat A. Nghiem , Tuan K. Do , Trung V. Phan

We suggest an approach to use memristors (resistors with memory) in programmable analog circuits. Our idea consists in a circuit design in which low voltages are applied to memristors during their operation as analog circuit elements and…

仪器与探测器 · 物理学 2014-11-20 Yuriy V. Pershin , Massimiliano Di Ventra

Interested in formalizing the generation of fast running code for linear algebra applications, the authors show how an index-free, calculational approach to matrix algebra can be developed by regarding matrices as morphisms of a category…

软件工程 · 计算机科学 2013-12-18 Hugo Daniel Macedo , José N. Oliveira

Quantum algorithms have been developed for efficiently solving linear algebra tasks. However, they generally require deep circuits and hence universal fault-tolerant quantum computers. In this work, we propose variational algorithms for…

量子物理 · 物理学 2021-12-28 Xiaosi Xu , Jinzhao Sun , Suguru Endo , Ying Li , Simon C. Benjamin , Xiao Yuan

A practical and simple stable method for calculating Fourier integrals is proposed, effective both at low and at high frequencies. An approach based on the fruitful idea of Levin, to use of the collocation method to approximate the slowly…

数值分析 · 数学 2021-04-09 Leonid A. Sevastianov , Konstantin P. Lovetskiy , Dmitry S. Kulyabov

The theory of matrix splitting is a useful tool for finding solution of rectangular linear system of equations, iteratively. The purpose of this paper is two-fold. Firstly, we revisit theory of weak regular splittings for rectangular…

数值分析 · 数学 2016-08-23 Debasisha Mishra