Date of Award

2025

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Computer Science

Committee Chair

Joshua Booth

Committee Member

Jacob Hauenstein

Committee Member

Daniel Bossaller

Research Advisor

Joshua Booth

Subject(s)

Parallel processing (Electronic computers), Calculus of tensors

Abstract

This thesis presents a background in sparse tensor formats and a study of the effects of Band-K and lexi-ordering on the HiCOO sparse tensor format using the matricized tensor times Khatri-Rao product (MTTKRP). We provide a background of sparse tensors and tensors in general. We cover several foundational sparse tensor formats including CSR, BCSR, and COO, and extensions to those formats HiCOO and CSR-K. Furthermore, we discuss methods of reordering tensors using Band-K and lexi-ordering. Finally, we modify HiParTI to supporting Band-K reordering over slices and benchmark the results against lexi-ordering and natural ordering.

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