Results 21 to 30 of about 4,893,936 (283)
The need for high‐precision calculations with 64‐bit or 32‐bit floating‐point arithmetic for weather and climate models is questioned. Lower‐precision numbers can accelerate simulations and are increasingly supported by modern computing hardware.
M. Klöwer, P. D. Düben, T. N. Palmer
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Detecting Floating-Point Expression Errors Based Improved PSO Algorithm
The use of floating-point numbers inevitably leads to inaccurate results and, in certain cases, significant program failures. Detecting floating-point errors is critical to ensuring that floating-point programs outputs are proper.
Hongru Yang +4 more
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Fused floating-point arithmetic for DSP [PDF]
textFloating-point arithmetic is attractive for the implementation for a variety of Digital Signal Processing (DSP) applications because it allows the designer and user to concentrate on the algorithms and architecture without worrying about numerical ...
Saleh, Hani Hasan Mustafa, 1970-
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Robustness Analysis of Floating-Point Programs by Self-Composition
Robustness is a key property for critical systems that run in uncertain environments, to ensure that small input perturbations can cause only small output changes.
Liqian Chen +4 more
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Interval Term Rewriting System: Toward A Formal Model for Interval Computation
We present a term rewriting system for interval arithmetic (addition, subtraction and multiplication), toward a mathematical model for interval compu- tation.
A.X. Carvalho, R.H.N. Santiago
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High-Performance Computation in Residue Number System Using Floating-Point Arithmetic
Residue number system (RNS) is known for its parallel arithmetic and has been used in recent decades in various important applications, from digital signal processing and deep neural networks to cryptography and high-precision computation.
Konstantin Isupov
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A Probabilistic Approach to Floating-Point Arithmetic [PDF]
9 pages, 6 ...
Fredrik Dahlqvist +2 more
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Implementation of affine arithmetic using floating-point arithmetic: how to handle roundoff errors
International audienceAffine arithmetic is one of the extensions of interval arithmetic, which aimsat counteracting the variable dependency problem.
Ninin, Jordan, Revol, Nathalie
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Algorithms for estimating modular numbers in floating-point arithmetic
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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Transreal Foundation for Floating-Point Arithmetic
Transmathematica archive. Please cite as:Anderson, J. (2023). Transreal Foundation for Floating-Point Arithmetic. Transmathematica.
James Anderson (516164)
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