Green's
functions and large matrix systems: electronics and multiphysics
design, networked systems, and recommendation engines.
Department of Electrical Engineering
University of Washington
This talk summarizes approaches to physics-based compression and
scaling of large Green's function-based matrix systems. Examples from
electronic design automation, electromagnetic simulation, and
microfluidic multiphysics systems are discussed. As scalable and
parallelized physics-solvers have become prevalent, the focus has moved
from sub-system analysis to overall system design, bringing with it a
new set of challenges associate with high-dimensional regression,
optimization, incremental simulation, and design under uncertainty.
These will be discussed with examples of RFID system design and
approaches to wireless power transmission. Combining the geometry of
physical systems and the topology of abstractions from circuit and
network theory has also moved the challenges more towards
graph-theoretic issues. New emerging areas in the application of
Green's function-like techniques towards "big data" problems in
internet and social network search paradigms and cloud-based
distributed secure computation will be summarized.