Randomized Complexity of Approximate Matrix Rank in Communication Protocols - Part 2
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Explore a detailed seminar lecture from the Kolmogorov Seminar series focusing on the communication complexity of approximating matrix rank, specifically examining how Alice and Bob compute or approximate the rank of their combined matrices (A + B). Delve into the mathematical foundations of this computational challenge, understanding its implications for streaming algorithms in matrix rank approximation. Learn about the randomized complexity aspects and their practical applications in computational theory, building upon concepts from the previous session. Gain insights into this fundamental problem in computational complexity theory through the analysis of recent research findings presented in the associated paper from FOCS 2024.
Syllabus
Andrey Storozhenko (cont.): randomized complexity of approximate rank of (Alice's + Bob's) matrix
Taught by
Kolmogorov-Seminar