Results 21 to 30 of about 67,589 (200)
High-Performance Computation in Residue Number System Using Floating-Point Arithmetic
Computation, 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
Arbitrary precision arithmetic-SIMD style [PDF]
Proceedings Eleventh International Conference on VLSI Design, 2002 Current day general purpose processors have been enhanced with what is called "media instruction set" to achieve performance gains in applications that are media processing intensive. The instruction set that has been added exploits the fact that media applications have small native datatypes and have widths much less than that supported by commercial ...
Balakrishnan, S, Nandy, SK
openaire +2 more sources
Privacy-Preserving Machine Learning With Fully Homomorphic Encryption for Deep Neural Network
IEEE Access, 2022 Fully homomorphic encryption (FHE) is a prospective tool for privacy-preserving machine learning (PPML). Several PPML models have been proposed based on various FHE schemes and approaches.
Joon-Woo Lee +10 more
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Hardware acceleration of number theoretic transform for zk‐SNARK
Engineering Reports, EarlyView., 2023 An FPGA‐based hardware accelerator with a multi‐level pipeline is designed to support the large‐bitwidth and large‐scale NTT tasks in zk‐SNARK. It can be flexibly scaled to different scales of FPGAs and has been equipped in the heterogeneous acceleration system with the help of HLS and OpenCL.
Haixu Zhao +6 more
wiley +1 more source
The Parallelism Tradeoff: Limitations of Log-Precision Transformers
Transactions of the Association for Computational Linguistics, 2023 Despite their omnipresence in modern NLP, characterizing the computational power of transformer neural nets remains an interesting open question. We prove that transformers whose arithmetic precision is logarithmic in the number of input tokens (and ...
William Merrill, Ashish Sabharwal
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Mathematics, 2021 In the present paper, a novel approach is introduced for the study, estimation and exact tracking of the finite precision error generated and accumulated during any number of multiplications.
Constantin Papaodysseus +4 more
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Computing hypergeometric functions rigorously [PDF]
, 2016 We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions ${}_0F_1$, ${}_1F_1$, ${}_2F_1$ and ${}_2F_0$ (or the Kummer $U$-function) are supported for unrestricted complex parameters and ...
Johansson, Fredrik
core +5 more sources
PaCAL: A Python Package for Arithmetic Computations with Random Variables
Journal of Statistical Software, 2014 In this paper we present PaCAL, a Python package for arithmetical computations on random variables. The package is capable of performing the four arithmetic operations: addition, subtraction, multiplication and division, as well as computing many ...
Marcin Korze?, Szymon Jaroszewicz
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A Modified Staggered Correction Arithmetic with Enhanced Accuracy and Very Wide Exponent Range [PDF]
, 2008 A so called staggered precision arithmetic is a special kind of a multiple precision arithmetic based on the underlying floating point data format (typically IEEE double format) and fast floating point operations as well as exact dot product ...
Blomquist, Frithjof, Hofschuster, Werner
core +1 more source
A type-safe arbitrary precision arithmetic portability layer for HLS tools [PDF]
Proceedings of the 10th International Symposium on Highly-Efficient Accelerators and Reconfigurable Technologies, 2019 Recent studies have shown that High-Level Synthesis (HLS) is an efficient way to design operators for floating-point arithmetic, or for emerging alternative formats such as posits. However, HLS tools support different supersets of different subsets of the C language-for example, support for arbitrary-sized bit vectors may be provided through vendor ...
Forget, Luc +3 more
openaire +2 more sources