Results 181 to 190 of about 95,300 (209)

Accelerating Neural Network Training using Arbitrary Precision Approximating Matrix Multiplication Algorithms

ICPP Workshops, 2021
Matrix multiplication is one of the bottleneck computations for training the weights within deep neural networks. To speed up the training phase, we propose to use faster algorithms for matrix multiplication known as Arbitrary Precision Approximating ...
Grey Ballard, J. Weissenberger, Luoping Zhang   +2 more
semanticscholar   +1 more source

Algorithms for arbitrary precision floating point arithmetic

[1991] Proceedings 10th IEEE Symposium on Computer Arithmetic, 2002
The author presents techniques for performing computations of very high accuracy using only straightforward floating-point arithmetic operations of limited precision. The validity of these techniques is proved under very general hypotheses satisfied by most implementations of floating-point arithmetic. To illustrate the applications of these techniques,
openaire   +1 more source

Arbitrary precision computation of hydrodynamic stability eigenvalues

Proceedings of the Royal Society A
We show that by using higher-order precision arithmetic, i.e. using floating-point types with more significant bits than standard double precision numbers, one may accurately compute eigenvalues for non-normal matrices arising in hydrodynamic ...
P. Dondl, Ludwig Striet, Brian Straughan
semanticscholar   +1 more source

Arbitrary accuracy with variable precision arithmetic

1986
For the calculation of interval-solutions Y including the true solution y of a given problem we need not only that y∈Y holds. Furthermore we are interested in the value of span(Y). So we should get that for an a priori and arbitrarily given bound ɛ>0 the calculation yields that the error remains below ɛ or that span(Y) 0 by using an interval ...
openaire   +1 more source

FlexiBit: Fully Flexible Precision Bit-parallel Accelerator Architecture for Arbitrary Mixed Precision AI

arXiv.org
Recent research has shown that large language models (LLMs) can utilize low-precision floating point (FP) quantization to deliver high efficiency while maintaining original model accuracy.
Faraz Tahmasebi, Yian Wang, Benji Y.H. Huang, Hyoukjun Kwon   +3 more
semanticscholar   +1 more source

A Real Polynomial Decision Algorithm Using Arbitrary-Precision Floating Point Arithmetic

Reliable Computing, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

An arbitrary precision real arithmetic package in REDUCE

1979
A REDUCE arbitrary precision real arithmetic package is described which will become a part of the kernel of an algebraic-numeric system being developed for REDUCE. The basic design principles of this package are first, it is as efficient as possible in both calculation speed and memory usage, second, even a casual user can use it, and third, it is ...
openaire   +1 more source

Eigenvalues to arbitrary precision for one-dimensional Schr�dinger equations by the shooting method using integer arithmetic

International Journal of Quantum Chemistry, 2000
It would seem that limiting computer computations to numbers with a fixed number of decimal digits would inhibit flexibility. Software programs such as Mathematica permit numerical algebra to be done exactly in terms of the ratio of integers. Hence, a single Taylor series representation of a function can span the entire range needed for a corresponding
H. W. Jones, J. L. Jain
openaire   +1 more source

A library for arbitrary precision interval arithmetic

2002
no ...
Revol, Nathalie, Rouillier, Fabrice
openaire   +1 more source

Clinical management of metastatic colorectal cancer in the era of precision medicine

Ca-A Cancer Journal for Clinicians, 2022
Fortunato Ciardiello, Davide Ciardiello, Giulia Martini   +2 more
exaly