Results 21 to 30 of about 95,300 (209)
JGMP: Java bindings and wrappers for the GMP library
SoftwareX, 2023 The GNU Multiple Precision Arithmetic Library (GMP) is a widely used library for computing with arbitrary precision arithmetic. The library has functionally complete bindings for many programming languages, including .NET, C++, OCaml, Python, Ruby, and ...
Gianluca Amato, Francesca Scozzari
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Effectiveness of Floating-Point Precision on the Numerical Approximation by Spectral Methods
Mathematical and Computational Applications, 2021 With the fast advances in computational sciences, there is a need for more accurate computations, especially in large-scale solutions of differential problems and long-term simulations. Amid the many numerical approaches to solving differential problems,
José A. O. Matos, Paulo B. Vasconcelos
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Computing the Density of the Positivity Set for Linear Recurrence Sequences [PDF]
Logical Methods in Computer Science, 2023 The set of indices that correspond to the positive entries of a sequence of numbers is called its positivity set. In this paper, we study the density of the positivity set of a given linear recurrence sequence, that is the question of how much more ...
Edon Kelmendi
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Cryptography, 2023 In this paper, we present new variants of Newton–Raphson-based protocols for the secure computation of the reciprocal and the (reciprocal) square root.
Stan Korzilius, Berry Schoenmakers
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The Prime state and its quantum relatives [PDF]
Quantum, 2020 The Prime state of $n$ qubits, ${|\mathbb{P}_n{\rangle}}$, is defined as the uniform superposition of all the computational-basis states corresponding to prime numbers smaller than $2^n$. This state encodes, quantum mechanically, arithmetic properties of
D. García-Martín +4 more
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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
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DSP-Packing: Squeezing Low-precision Arithmetic into FPGA DSP Blocks [PDF]
International Conference on Field-Programmable Logic and Applications, 2022 The number of Digital Signal Processor (DSP) resources available in Field Programmable Gate Arrays (FPGAs) is often quite limited. Therefore, full utilization of available DSP resources for the computationally intensive parts of an algorithm is paramount
J. Sommer +3 more
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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
Fast Arbitrary Precision Floating Point on FPGA [PDF]
IEEE Symposium on Field-Programmable Custom Computing Machines, 2022 Numerical codes that require arbitrary precision floating point (APFP) numbers for their core computation are dominated by elementary arithmetic operations due to the super-linear complexity of multiplication in the number of mantissa bits.
J. D. F. Licht +4 more
semanticscholar +1 more source