References & Citations
Computer Science > Information Theory
Title: Distributed Structured Matrix Multiplication
(Submitted on 5 May 2024 (v1), last revised 18 May 2024 (this version, v2))
Abstract: We devise achievable encoding schemes for distributed source compression for computing inner products, symmetric matrix products, and more generally, square matrix products, which are a class of nonlinear transformations. To that end, our approach relies on devising nonlinear mappings of distributed sources, which are then followed by the structured linear encoding scheme, introduced by K\"orner and Marton. For different computation scenarios, we contrast our findings on the achievable sum rate with the state of the art to demonstrate the possible savings in compression rate. When the sources have special correlation structures, it is possible to achieve unbounded gains, as demonstrated by the analysis and numerical simulations.
Submission history
From: Derya Malak [view email][v1] Sun, 5 May 2024 12:09:27 GMT (3191kb)
[v2] Sat, 18 May 2024 07:36:22 GMT (3191kb)
Link back to: arXiv, form interface, contact.