Results 11 to 20 of about 322 (162)

Simulating Low Precision Floating-Point Arithmetic [PDF]

open access: yesSIAM Journal on Scientific Computing, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nicholas J. Higham, Srikara Pranesh
openaire   +3 more sources

Detecting Floating-Point Expression Errors Based Improved PSO Algorithm

open access: yesIET Software, 2023
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
doaj   +1 more source

Number Formats, Error Mitigation, and Scope for 16‐Bit Arithmetics in Weather and Climate Modeling Analyzed With a Shallow Water Model

open access: yesJournal of Advances in Modeling Earth Systems, 2020
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
doaj   +1 more source

Hammering Floating-Point Arithmetic

open access: yes, 2023
AbstractSledgehammer, a component of the interactive proof assistant Isabelle/HOL, aims to increase proof automation by automatically discharging proof goals with the help of external provers. Among these provers are a group of satisfiability modulo theories (SMT) solvers with support for the SMT-LIB input language.
Olle Torstensson, Tjark Weber
openaire   +2 more sources

Optimal Architecture of Floating-Point Arithmetic for Neural Network Training Processors

open access: yesSensors, 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
doaj   +1 more source

FAST ROBUST ARITHMETICS FOR GEOMETRIC ALGORITHMS AND APPLICATIONS TO GIS [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2021
Geometric predicates are used in many GIS algorithms, such as the construction of Delaunay Triangulations for Triangulated Irregular Networks (TIN) or geospatial predicates.
T. Bartels, V. Fisikopoulos
doaj   +1 more source

Robustness Analysis of Floating-Point Programs by Self-Composition

open access: yesJournal of Applied Mathematics, 2014
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
doaj   +1 more source

High-Performance Computation in Residue Number System Using Floating-Point Arithmetic

open access: yesComputation, 2021
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
doaj   +1 more source

Maximum network flow with floating point arithmetic [PDF]

open access: yesInformation Processing Letters, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Althaus, E., Mehlhorn, K.
openaire   +2 more sources

Interval Term Rewriting System: Toward A Formal Model for Interval Computation

open access: yesTrends in Computational and Applied Mathematics, 2006
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
doaj   +1 more source

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