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Approximations to the Multiplier Method
SIAM Journal on Numerical Analysis, 1985The author analyzes approximations to the multiplier method for solving optimization problems. In particular, the effect of replacing the constrained problem by the unconstrained optimization of a penalized Lagrangian over a subspace instead of a Hilbert space, is considered. Some applications to nonlinear optimal control are discussed.
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Power Efficient Approximate Booth Multiplier
2018 IEEE International Symposium on Circuits and Systems (ISCAS), 2018Power consumption is an important constraint in multimedia and deep learning applications. Approximate computing offers efficient approach to reduce power consumption. In this paper, novel approximation is proposed for radix-4 booth multiplication.
Suganthi Venkatachalam +2 more
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Design of An Approximate FFT Processor Based on Approximate Complex Multipliers
2021 IEEE Computer Society Annual Symposium on VLSI (ISVLSI), 2021The Fast Fourier Transform (FFT) is an efficient algorithm to calculate the Discrete Fourier Transform (DFT), which is often employed in Digital Signal Processing (DSP) and communication. In FFT, complex multiplication and addition units in the butterfly module consume most of the hardware resources.
Jinhe Du +4 more
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Approximation of adjoint of a multiplier on banach algebras
Acta Mathematica Scientia, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghaffari, A., Javadi, S., Khodaei, H.
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Architectural-space exploration of approximate multipliers
Proceedings of the 35th International Conference on Computer-Aided Design, 2016This paper presents an architectural-space exploration methodology for designing approximate multipliers. Unlike state-of-the-art, our methodology generates various design points by adapting three key parameters: (1) different types of elementary approximate multiply modules, (2) different types of elementary adder modules for summing the partial ...
Semeen Rehman +4 more
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Multipliers Based on Approximate Compressors
Micro and Nanosystems, 2021Background: Approximate computing is an emerging trend in recent year that trades off the requirement of exact computation for the improvement of speed and power performance. Objective: Researchers are trying to improve the speed and power performance proposing different algorithm. Method: This paper proposes approximate compressors used for the
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Design of an Approximate Multiplier with Time and Power Efficient Approximation Methods
Journal of Circuits, Systems and Computers, 2023Approximate multipliers have gradually become a focus of research due to the emergence of fault-tolerant applications. This paper deals with the approximation methods for an approximation multiplier with truncation, probability transformation and a majority gate-based compressor chain.
Ruyi Liu +5 more
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Sine Approximation with a Gaussian Multiplier
Sampling Theory in Signal and Image Processing, 2007Recently, it was shown with the help of Fourier analysis that by incorporating a Gaussian multiplier into the truncated classical sampling series, one can approximate bandlimited signals of finite energy with an error that decays exponentially as a function of the number of involved samples.
Gerhard Sehmeisser, Frank Stenger
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A High Accuracy Approximate Multiplier with Error Correction
2020 IEEE International Symposium on Circuits and Systems (ISCAS), 2020A novel approximate multiplier with tunable accuracy modes which leverages an inaccurate 4 × 4 multiplier is proposed. The inaccurate multipliers achieve a power reduction of 17.98%–34.15% over corresponding accurate designs with a maximal absolute relative error of 22.2%. A Gaussian filter is implemented for image sharpening as a sample assessment and
Zhixi Yang +4 more
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FPGA-Based Approximate Multiplier for FP8
2025 IEEE 33rd Annual International Symposium on Field-Programmable Custom Computing Machines (FCCM)The 8-bit floating-point (FP8) data format has been increasingly adopted in neural network (NN) computations due to its superior dynamic range compared to traditional INT8. However, FP8-based multiplication, a core operation in NNs, still incurs significant power consumption.
Ruiqi Chen 0001 +7 more
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