Work

Algorithms and Data Structures for Numerical Computations with Automatic Precision Estimation

Year: 2024

Type: article

Abstract: We introduce data structures and algorithms to count numerical inaccuracies arising from usage of floating numbers described in IEEE 754. Here we describe how to estimate precision for some collection of functions most commonly used for array manipulations and training of neural networks. For highly optimized functions like matrix multiplication, we provide a fast estimation of precision and some hint how the estimation can be strengthened.

Source: Indian Journal of Artificial Intelligence and Neural Networking

DOI: 10.54105/ijainn.f1092.04061024

Author: Igor V. Netay

Institutions: Russian Academy of Sciences, Institute for Information Transmission Problems

Language: English

Topic: Numerical Methods and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4403807254

FWCI:

Cites: 11

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Related to: 10