Abstract: This paper presents two improved modular multiplication algorithms: variable length Interleaved modular multiplication (VLIM) algorithm and parallel modular multiplication (P_MM) method ...

Abstract: While the Karatsuba algorithm reduces the complexity of large integer multiplication, the extra additions required minimize its benefits for smaller integers of more commonly-used bitwidths.

This summer, battle lines were drawn over a simple math problem: 8 ÷ 2(2 + 2) = ? If you divide 8 by 2 first, you get 16, but if you multiply 2 by (2 + 2) first, you get 1. So, which answer is right?

Standard matrix multiplication with parallel processing Strassen's algorithm for large matrices Automatic optimization between standard and Strassen's algorithm Support for matrices of any size ...

This repository contains a simple C++ benchmarking experiment inspired by the paper "Addition is All You Need for Energy-efficient Language Models" by Hongyin Luo and Wei Sun (2024). The experiment ...

With AlphaTensor, DeepMind Technologies has presented an AI system that is supposed to independently find novel, efficient and provably correct algorithms for complex mathematical tasks. AlphaTensor ...

As our computing capabilities grow, the size and complexity of numerical simulations and data analysis that today’s computational scientists conduct continue to increase. The gap between the peak ...