1. 확률분포 생성을 통한 근사 행렬 곱셈 간소화 방법.
- Author
-
권오영 and 서경택
- Subjects
MATRIX multiplications ,DISTRIBUTION (Probability theory) ,COLUMNS ,MATRICES (Mathematics) - Abstract
Matrix multiplication is a fundamental operation widely used in science and engineering. There is an approximate matrix multiplication method as a way to reduce the amount of computation of matrix multiplication. Approximate matrix multiplication determines an appropriate probability distribution for selecting columns and rows of matrices, and performs approximate matrix multiplication by selecting columns and rows of matrices according to this distribution. Probability distributions are generated by considering both matrices A and B participating in matrix multiplication. In this paper, we propose a method to generate a probability distribution that selects columns and rows of matrices to be used for approximate matrix multiplication, targeting only matrix A. Approximate matrix multiplication was performed on 1000x 1000 ~ 5000x5000 matrices using existing and proposed methods. The approximate matrix multiplication applying the proposed method compared to the conventional method has been shown to be closer to the original matrix multiplication result, averaging 0.02% to 2.34%. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF