Abstract: The technique of averaging (deterministic or stochastic) is used to effect model reduction in systems which possess dynamics on multiple time scales.
Abstract: The art gallery problem is a classical sensor placement problem that asks for the minimum number of guards required to see every point in an environment.
Abstract: As advances in mathematics continue at the current rate, editors of mathematical journals increasingly face the challenge of reviewing increasingly long, and often wrong, ''proofs'' of classical conjectures.
Abstract: In this talk, we shall discuss three problems respectively from stochastic approximation, stochastic algebraic topology, and optimization in high dimensions.
Consider a 2-player game defined as follows. A referee sends a pair of questions x and y to two players Alice and Bob and accepts if their answers a and b satisfy some predicate.
Abstract: The art gallery problem is to determine the minimum number of point light sources positioned at vertices of a polygon that can illuminate the entire polygon. Lee and Lin showed that this problem is NP-hard for direct visibility.
