Results 21 to 30 of about 3,501 (259)
Applied Sciences, 2023 In recent years, interest in approximate computing has been increasing significantly in many disciplines in the context of saving energy and computation cost by trading off on the quality of numerical simulation.
Alexey Cherezov +2 more
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Algorithms for estimating modular numbers in floating-point arithmetic
Наука. Инновации. Технологии, 2022 In the residue number system (RNS), the operations of addition, subtraction, and multiplication are executed in parallel for different digits (residues) of the modular numbers.
Konstantin Sergeevich Isupov
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Fused floating-point arithmetic for DSP [PDF]
2008 42nd Asilomar Conference on Signals, Systems and Computers, 2008 This paper extends the consideration of fused floating-point arithmetic to operations that are frequently encountered in DSP. The fast Fourier transform is a case in point, it uses a complex butterfly operation. For a radix-2 implementation, the butterfly consists of a complex multiply followed by the complex addition and subtraction of the same pair ...
Earl E. Swartzlander Jr., Hani H. Saleh
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Algorithms for Manipulating Quaternions in Floating-Point Arithmetic [PDF]
2020 IEEE 27th Symposium on Computer Arithmetic (ARITH), 2020 Quaternions form a set of four global but not unique parameters, which canrepresent three-dimensional rotations in a non-singular way. They arefrequently used in computer graphics, drone and aerospace vehiclecontrol. Floating-point quaternion operations (addition, multiplication,reciprocal, norm) are often implemented "by the book".
Joldeş, Mioara, Muller, Jean-Michel
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TWFalcon: Triple-Word Arithmetic for Falcon
Transactions on Cryptographic Hardware and Embedded SystemsThe post-quantum signature scheme Falcon is an attractive scheme for constrained devices due to its compactness and verification performance. However, it relies on floating-point arithmetic for signature generation, which - alongside physical security ...
Stef Halmans +4 more
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High-Precision Arithmetic in Mathematical Physics
Mathematics, 2015 For many scientific calculations, particularly those involving empirical data, IEEE 32-bit floating-point arithmetic produces results of sufficient accuracy, while for other applications IEEE 64-bit floating-point is more appropriate.
David H. Bailey, Jonathan M. Borwein
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Exploiting Structure in Floating-Point Arithmetic [PDF]
, 2016 The analysis of algorithms in IEEE floating-point arithmetic is most often carried out via repeated applications of the so-called standard model, which bounds the relative error of each basic operation by a common epsilon depending only on the format. While this approach has been eminently useful for establishing many accuracy and stability results, it
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Cognitive and Neuroimaging Divergence Between Juvenile and Adult FUS Amyotrophic Lateral Sclerosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Amyotrophic lateral sclerosis (ALS) is a neurodegenerative disorder characterized by progressive motor neuron degeneration. Fused in sarcoma (FUS)‐associated juvenile ALS (jALS) represents a distinct and aggressive subgroup with rapid deterioration and poor prognosis.
Alexandra V. Jürs +7 more
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Lightweight Floating-Point Arithmetic: Case Study of Inverse Discrete Cosine Transform
EURASIP Journal on Advances in Signal Processing, 2002 To enable floating-point (FP) signal processing applications in low-power mobile devices, we propose lightweight floating-point arithmetic. It offers a wider range of precision/power/speed/area trade-offs, but is wrapped in forms that hide the ...
Fang Fang, Chen Tsuhan, Rutenbar Rob A
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Optimization of the Production of Rubber Compounds Using Mathematical Models
Advanced Engineering Materials, EarlyView.Rubber compounds were mixed in a batch internal mixer, and symbolic regression was used to derive mathematical models linking recipe and process parameters to ram path, torque, and mixing quality (incorporation, dispersion, distribution). Subsequent optimization with evolutionary algorithms identified operating conditions that reduce specific energy ...
Anke Bardehle +7 more
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