Matrix multiplication via 3D partitioning

Research Project

Project/Area Number	24K22294
Research Category	Grant-in-Aid for Challenging Research (Exploratory)
Allocation Type	Multi-year Fund
Review Section	Medium-sized Section 60:Information science, computer engineering, and related fields
Research Institution	Kyoto University
Principal Investigator	ジャンソンジェスパー京都大学, 情報学研究科, 特定准教授 (60536100)
Project Period (FY)	2024-06-28 – 2027-03-31
Project Status	Granted (Fiscal Year 2024)
Budget Amount *help	¥6,110,000 (Direct Cost: ¥4,700,000、Indirect Cost: ¥1,410,000) Fiscal Year 2026: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000) Fiscal Year 2025: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000) Fiscal Year 2024: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords	algorithm / time complexity / matrix multiplication / histogram / partitioning
Outline of Research at the Start	The main idea of this project is to interpret matrices as 3D histograms. To multiply two matrices, we decompose their 3D histograms into 3D blocks which can then be manipulated in a pairwise manner using interval trees and other data structures.