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.
Abstract: Broadcast channels model the downlink in a wireless network, i.e., the link from a base station transmitter to several receivers. The broadcast channel model was proposed by Tom Cover in 1972.
Abstract:In a content delivery network, data are distributed to geographically separated servers or data centers. This helps in distributing the load in the network and in serving the neighborhood locally.
Abstract: The Alexeev's perturbation theory gives a method to compare solutions of a perturbed ordinary differential equation (ODEs) with that of the unperturbed one.
Abstract: Networks such as LinkedIn and Facebook have spurred enormous and interdisciplinary research in connections and networks. The talk focuses on selected applications of connectedness and network methods in corporate finance research.
Abstract: Broadcast channels model the downlink in a wireless network, i.e., the link from a base station transmitter to several receivers. The broadcast channel model was proposed by Tom Cover in 1972.