Week of Events
Orthogonality defect and coherence of cyclotomic lattices (Lenny Fukshansky, CMC)
Orthogonality defect and coherence of cyclotomic lattices (Lenny Fukshansky, CMC)
There are two different measures of how far a given Euclidean lattice is from being orthogonal -- the orthogonality defect and the average coherence. The first of these comes from the study of sphere packing while the second is motivated by frame theory, but both of them have applications in digital communications, especially in coding […]
The mathematics of neural networks: recent advances, thoughts, and the path forward (Prof. Mikhail Belkin, UCSD)
The mathematics of neural networks: recent advances, thoughts, and the path forward (Prof. Mikhail Belkin, UCSD)
Title: The mathematics of neural networks: recent advances, thoughts, and the path forward Speaker: Prof. Mikhail Belkin, Department of Mathematics, University of California San Diego Abstract: The recent remarkable practical achievements of neural networks have far outpaced our theoretical understanding of their properties. Yet, it is hard to imagine that progress can continue indefinitely, without […]
Linear Multifractional Stable Sheets in the Broad Sense: Existence and Joint Continuity of Local Times (Qidi Peng, Institute of Mathematical Sciences, CGU)
Linear Multifractional Stable Sheets in the Broad Sense: Existence and Joint Continuity of Local Times (Qidi Peng, Institute of Mathematical Sciences, CGU)
We introduce the notion of linear multifractional stable sheets in the broad sense (LMSS) to include both linear multifractional Brownian sheets and linear multifractional stable sheets. The purpose of the framework is to study the existence and joint continuity of the local times of LMSS, and also the local Holder condition of the local times […]