Programmable analogue vector-matrix multiplier

Lin, T.Y.; Payne, A.J.

doi:10.1049/el:20020026

Cited by 14 publications

(2 citation statements)

References 3 publications

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“…Vector–vector or matrix–vector multiplication (VVM/MVM) are pervasive operations and the basis of the most relevant and commonly used algorithms in signal processing: 1,2 fast Fourier transforms (FFTs), convolutions, digital filters, and neural networks are some of the most prominent examples. In particular, deep and convolutional neural networks (abbreviated as DNN and ConvNets, respectively), are nowadays receiving considerable attention in the area of machine learning due to its high efficacy in classification tasks.…”

Section: Introductionmentioning

confidence: 99%

Simplicial computation: A methodology to compute vector–vector multiplications with reduced complexity

Julián

Andreou

Villemur

et al. 2021

Circuit Theory & Apps

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Summary In this paper, we propose the use of the simplicial algorithm, originally proposed to implement piecewise‐linear functions, to compute a digital vector–vector multiplication (VVM) without multiplications. The main contributions of the proposed methodology are (a) an improved error propagation with respect to parameter quantization; (b) a more efficient digital implementation with respect to area, energy, and speed in the case of large number of inputs; and (c) an intrinsic capability to produce multivariable nonlinear processing. We show that when quantization of inputs and parameters are considered, the simplicial method achieves the same accuracy with fewer representation bits for the parameters, assuming the same quantization for the inputs. Actually, in the particular case of a large number of inputs, the simplicial method needs half the number of parameter bits of a linear combination plus one.

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Section: Introductionmentioning

confidence: 99%

Simplicial computation: A methodology to compute vector–vector multiplications with reduced complexity

Julián

Andreou

Villemur

et al. 2021

Circuit Theory & Apps

View full text Add to dashboard Cite

show abstract

“…Programmable MOS resistors or multipliers have been developed as digitally programmable analog circuits 121 [3]. However, these structures are tested in simulation, without mismatching problems, implemented in very low resolution (3 bits) or applied to small academic problems as the XOI logic operation.…”

Section: Introductionmentioning

confidence: 99%