A note on Dekker’s FastTwoSum algorithm
Sign Up to like & getrecommendations! Published in 2020 at "Numerische Mathematik"
DOI: 10.1007/s00211-020-01114-2
Abstract: More than 45 years ago, Dekker proved that it is possible to evaluate the exact error of a floating-point sum with only two additional floating-point operations, provided certain conditions are met. Today the respective algorithm… read more here.
Keywords: fasttwosum algorithm; fasttwosum fasttwosum; mathrm fasttwosum; floating point ... See more keywords
Scaling up and down of 3-D floating-point data in quantum computation
Sign Up to like & getrecommendations! Published in 2022 at "Scientific Reports"
DOI: 10.1038/s41598-022-06756-w
Abstract: In the past few decades, quantum computation has become increasingly attractive due to its remarkable performance. Quantum image scaling is considered a common geometric transformation in quantum image processing, however, the quantum floating-point data version… read more here.
Keywords: point; quantum computation; floating point; scaling floating ... See more keywords
An Architecture of Area-Effective High Radix Floating-Point Divider With Low-Power Consumption
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Access"
DOI: 10.1109/access.2021.3065063
Abstract: In this paper, a novel architecture of area-effective high-radix floating-point divider with low power consumption is proposed. By extending the principle of the standard SRT algorithm, the divider can estimate the partial quotient digits by… read more here.
Keywords: area; point divider; floating point; divider ... See more keywords
Development of Floating-Point MAC Engine for 2-D Convolution of Image
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Access"
DOI: 10.1109/access.2021.3117335
Abstract: In the emerging trend of Graphics Processing Architecture, IEEE 754-2008 Floating point numbers are being widely used. Convolution is one of the standard operations in image processing applications, and because of its computationally intensive nature,… read more here.
Keywords: point mac; floating point; convolution; image ... See more keywords
Exact Versus Inexact Decimal Floating-Point Numbers and Arithmetic
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Access"
DOI: 10.1109/access.2023.3244891
Abstract: The IEEE 754 standard does not distinguish between exact and inexact floating-point numbers. There is no bit or field in the binary encoding that indicates whether a floating-point number is exact or not. This is… read more here.
Keywords: inexact decimal; inexact; point numbers; floating point ... See more keywords
ForBac: A Static Analysis Approach With Forward and Backward Analysis for Precision in Floating-Point Computations
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Access"
DOI: 10.1109/access.2025.3567762
Abstract: Accuracy in floating-point computations is critical for reliable software, especially in systems where precision impacts safety and performance. Inaccuracies from rounding errors and precision loss can lead to significant issues in applications like scientific computing… read more here.
Keywords: precision; forbac static; floating point; analysis ... See more keywords
Multiple-Input Floating-Point Adders: A Comprehensive Review
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Access"
DOI: 10.1109/access.2025.3572430
Abstract: Floating-point addition is pivotal in various computational applications, including scientific computing, machine learning, and graphics processing. Traditional two-input floating-point adders (FPADD2) are widely used but become bottlenecks in scenarios requiring efficient multi-operand summation. The growing… read more here.
Keywords: multiple input; point; floating point; input floating ... See more keywords
Design and Implementation of Approximate Hybrid Floating-Point Multipliers for Signal-Processing Applications
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Access"
DOI: 10.1109/access.2025.3623174
Abstract: Floating-point (FP) multipliers are critical components in high-performance computing systems, particularly in signal processing, graphics, and machine learning applications. However, traditional FP multipliers face challenges in power, area, and latency efficiency. This paper proposes two… read more here.
Keywords: floating point; approximate hybrid; point multipliers; signal processing ... See more keywords
A Compute-in-Memory Decoding Architecture for Posit-to-Floating-Point Conversion
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DOI: 10.1109/access.2025.3633753
Abstract: Modern computing systems are increasingly adopting low-precision floating-point formats to reduce memory overhead, particularly in large-scale applications such as large language models and scientific computing. Low-precision formats, however, are vulnerable to reduced numerical accuracy and… read more here.
Keywords: memory; conversion; point; floating point ... See more keywords
FloatSD: A New Weight Representation and Associated Update Method for Efficient Convolutional Neural Network Training
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Journal on Emerging and Selected Topics in Circuits and Systems"
DOI: 10.1109/jetcas.2019.2911999
Abstract: In this paper, we propose a floating-point signed digit (FloatSD) format for convolutional neural network (CNN) weight representation and its update method during CNN training. The number of non-zero digits in a weight can be… read more here.
Keywords: floating point; method; weight representation; point ... See more keywords
A Neural Network Training Processor With 8-Bit Shared Exponent Bias Floating Point and Multiple-Way Fused Multiply-Add Trees
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Journal of Solid-State Circuits"
DOI: 10.1109/jssc.2021.3103603
Abstract: Recent advances in deep neural networks (DNNs) and machine learning algorithms have induced the demand for services based on machine learning algorithms that require a large number of computations, and specialized hardware ranging from accelerators… read more here.
Keywords: training; neural network; floating point; way ... See more keywords