Graph expansion and communication complexity of algorithms

Computer Science/Discrete Mathematics Seminar II
Topic:Graph expansion and communication complexity of algorithms
Speaker:Olga Holtz
Affiliation:University of California, Berkeley; von Neumann Fellow, School of Mathematics
Date:Tuesday, March 18
Time/Room:10:30am - 12:30pm/S-101
Video Link:https://video.ias.edu/csdm/2014/0318-OlgaHoltz

In joint work with Ballard, Demmel, and Schwartz, we showed the communication cost of algorithms (also known as I/O-complexity) to be closely related to the small-set expansion properties of the corresponding computation graphs. This graph expansion approach produces first lower bounds on the communication costs of Strassen's and other fast matrix multiplication algorithms. I will discuss both the general method and its concrete implementations.