PLAC: Piecewise linear approximation computation for all nonlinear unary functions

H Dong, M Wang, Y Luo, M Zheng, M An… - … Transactions on Very …, 2020 - ieeexplore.ieee.org
This article presents a piecewise linear approximation computation (PLAC) method for all
nonlinear unary functions, which is an enhanced universal and error-flattened piecewise …

A universal method of linear approximation with controllable error for the efficient implementation of transcendental functions

H Sun, Y Luo, Y Ha, Y Shi, Y Gao… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
Transcendental functions are commonly used in many fields such as nonlinear functions of
artificial neural networks (ANNs). Due to nonlinearity of these functions, hardware …

Small logarithmic floating-point multiplier based on FPGA and its application on MobileNet

B Xiong, S Fan, X He, T Xu… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
The small floating-point (SFP) multiplier proposed by Xilinx is utilized to implement the
convolution neural networks (CNNs). This scheme can balance the resource usage of look …

Design of nonlinear filters using affine projection algorithm based exact and approximate adaptive exponential functional link networks

T Deb, D Ray, NV George - … on Circuits and Systems II: Express …, 2019 - ieeexplore.ieee.org
Adaptive exponential functional link network (AEFLN) is a recently developed linear-in-the-
parameters nonlinear adaptive filter. It has been observed that the convergence …

ML-PLAC: Multiplierless piecewise linear approximation for nonlinear function evaluation

F Lyu, Y Xia, Z Mao, Y Wang, Y Wang… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In this article, we propose a multiplierless piecewise linear (PWL) approximation
computation (ML-PLAC) method for nonlinear unary functions. ML-PLAC seeks the minimum …

PWL-based architecture for the logarithmic computation of floating-point numbers

F Lyu, Z Mao, J Zhang, Y Wang… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In this brief, we propose a logarithmic converter for floating-point numbers based on the
piecewise linear (PWL) approximation method. The proposed method is applicable to any …

Dual-channel multiplier for piecewise-polynomial function evaluation for low-power 3-D graphics

DM Ellaithy, MA El-Moursy, A Zaki… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
A dual-channel multiplier (DCM) for energy efficient second-order piecewise-polynomial
function evaluation for 3-D graphics applications is presented in this paper. The …

Study of Sparsity Emanating from NKPD and its Utilization to Enhance NKPD based Adaptive Algorithms

SS Bhattacharjee, MG Christensen… - 2023 31st European …, 2023 - ieeexplore.ieee.org
Recently, the nearest Kronecker product (NKP) decomposition has become popular in
several adaptive filtering (AF) applications owing to its fast convergence and tracking ability …

An Optimized Method for Nonlinear Function Approximation Based on Multiplierless Piecewise Linear Approximation

H Yu, G Yuan, D Kong, L Lei, Y He - Applied Sciences, 2022 - mdpi.com
Featured Application Data analysis and processing system, Neural network system,
Accelerator and Coprocessor. Abstract In this paper, we propose an optimized method for …

Half-precision logarithmic arithmetic unit based on the fused logarithmic and antilogarithmic converter

B Xiong, Y Li, S Li, S Fan… - IEEE Transactions on Very …, 2021 - ieeexplore.ieee.org
This brief utilizes the logarithmic number system (LNS) to realize the half-precision division
(DIV), square root (SR), and inverse SR (ISR) that are widely used in both the error …