Optimal Architecture of Floating-Point Arithmetic for Neural Network Training Processors [PDF]
Sensors, 2022 The convergence of artificial intelligence (AI) is one of the critical technologies in the recent fourth industrial revolution. The AIoT (Artificial Intelligence Internet of Things) is expected to be a solution that aids rapid and secure data processing.
Muhammad Junaid +3 more
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Hybrid Precision Floating-Point (HPFP) Selection to Optimize Hardware-Constrained Accelerator for CNN Training [PDF]
SensorsThe rapid advancement in AI requires efficient accelerators for training on edge devices, which often face challenges related to the high hardware costs of floating-point arithmetic operations.
Muhammad Junaid +5 more
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Efficient Floating Point Arithmetic for Quantum Computers
IEEE Access, 2022 One of the major promises of quantum computing is the realization of SIMD (single instruction - multiple data) operations using the phenomenon of superposition.
Raphael Seidel +4 more
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Floating Point Optimization Using VHDL [PDF]
Engineering and Technology Journal, 2009 Due to inherent limitations of the fixed-point representation, it is sometimes desirable to perform arithmetic operations in the floating-point format.
Manal Hammadi Jassim
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Mathematics, 2021 The aim of this paper is to present a new method and the tool to validate the numerical results of the Volterra integral equation with discontinuous kernels in linear and non-linear forms obtained from the Adomian decomposition method.
Samad Noeiaghdam +4 more
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An Imprecise but Infinite Fall: The Machine Performance of Floating-Point Arithmetic
Proceedings, 2021 Floating-point arithmetic is a common computational method, used to represent large or infinite space in software, such as game engines. This paper explores floating-point arithmetic in the game engine Unity, as it renders an infinitely falling object ...
Kelsey Brod
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Multi‐precision binary multiplier architecture for multi‐precision floating‐point multiplication
IET Circuits, Devices and Systems, 2021 Arithmetic logic units (ALUs) are core components of processing devices that perform required arithmetic and logical operations such as multiplication, division, addition, subtraction, and squaring. The multiplication operation is frequently used in ALUs
Geetam Singh Tomar +2 more
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Exact Versus Inexact Decimal Floating-Point Numbers and Arithmetic
IEEE Access, 2023 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.
Muhamed F. Mudawar
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Design and Implementation of Numerical Linear Algebra Algorithms on Fixed Point DSPs
EURASIP Journal on Advances in Signal Processing, 2007 Numerical linear algebra algorithms use the inherent elegance of matrix formulations and are usually implemented using C/C++ floating point representation.
Nguyen Ha Thai +2 more
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Stochastic rounding and reduced-precision fixed-point arithmetic for solving neural ordinary differential equations [PDF]
, 2020 Although double-precision floating-point arithmetic currently dominates high-performance computing, there is increasing interest in smaller and simpler arithmetic types.
Furber, Steve +3 more
core +2 more sources