Wenrui Hao - Department of Mathematics, Pennsylvania State University

Nov 25, 2019 - 1:50pm to 2:55pm

College of Science, Applied Mathematics - Colloquia - Siegal Hall, Room 118

In this talk, I will start a recent mathematical model that predicts the plaque formation by using the combined levels of (LDL, HDL) in the blood. The model is described by a system of partial differential equations with a free boundary. Then some numerical methods will be discussed to solve the... read more
Mladen Kolar - Booth School of Business, University of Chicago

Nov 18, 2019 - 1:50pm to 2:55pm

College of Science, Applied Mathematics - Colloquia - Siegal Hall, Room 118

We present a recent line of work on estimating differential networksand conducting statistical inference about parameters in ahigh-dimensional setting. First, we consider a Gaussian setting andshow how to directly learn the difference between the graphstructures. A debiasing procedure will be... read more
Samy Tindel - Department of Mathematics, Purdue University

Nov 11, 2019 - 1:50pm to 2:55pm

College of Science, Applied Mathematics - Colloquia - Siegal Hall, Room 118

In this talk I will first introduce and recall some basic facts about the parabolic Anderson model. This model can simply be seen as a linear heat equation in a random environment. I will spend some time describing a couple of manifestations of what is usually called localization, which is the main... read more
Jason Morton - Department of Mathematics, Pennsylvania State University

Nov 4, 2019 - 1:50pm to 2:55pm

College of Science, Applied Mathematics - Colloquia - Siegal Hall, Room 118

The restricted Boltzmann machine was the original building block of deep learning models. An implicit description of the set of probability distributions it can represent is very difficult, and is unknown even in the smallest nontrivial case. However there are aspects of the RBM's... read more
Sayar Karmakar – assistant professor of statistics, University of Florida

Oct 28, 2019 - 1:50pm to 2:55pm

Applied Mathematics - Colloquia - Siegel Hall 118

We obtain an optimal bound for Gaussian approximation of a large class of vector-valued random processes. Our results substantially generalize earlier ones which assume independence and/or stationarity. Based on the decay rate of functional dependence measure, we quantify the error... read more
Jaksa Cvitanic - Division of The Humanities and Social Sciences, California Institute of Technology

Oct 14, 2019 - 1:50pm to 2:55pm

College of Science, Applied Mathematics - Colloquia - Siegal Hall, Room 118

We consider a stochastic tournament game in which each player is rewarded based on her rank in terms of the completion time of her own task and is subject to cost of effort. When players are homogeneous and the rewards are purely rank dependent, the equilibrium has a surprisingly explicit... read more
Michael Shelley - Courant Institute of Mathematical Sciences, New York University

Sep 30, 2019 - 1:50pm to 2:55pm

College of Science, Applied Mathematics - Colloquia - Siegal Hall, Room 118

Active materials, or active matter more broadly, are multi-scale systems whose energy-consuming microstructure creates macroscopic self-organizing dynamics. Canonical examples arise from biology, such as the microtubule/motor-protein assemblies that are widely studied both within and outside of the... read more
Will Perkins - Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago

Sep 23, 2019 - 1:50pm to 2:55pm

College of Science, Applied Mathematics - Colloquia - Siegal Hall, Room 118

What is the densest possible packing of identical spheres in Euclidean space? The answer to this very old question in mathematics is only known in dimensions 1, 2, 3, 8, and 24. In very high dimensions, the answer is almost a complete mystery. I will describe a connection between geometric packing... read more
Jian-Guo Liu - Department of Mathematics & Department of Physics, Duke University

Sep 16, 2019 - 1:50pm to 2:55pm

College of Science, Applied Mathematics - Colloquia - Siegal Hall, Room 118

We develop Random Batch Methods (RBM) for large interacting particle systems with large number of particles. These methods use small but random batches for particle interactions, thus the computational cost is reduced from \(O(N^{2})\) per time step to \(O(N)\), for a system with \(N\) particles... read more
Jan Rosinski - Department of Mathematics, University of Tennessee

Sep 9, 2019 - 1:50pm to 2:55pm

College of Science, Applied Mathematics - Colloquia - Siegal Hall, Room 118

A stochastic version of Dini’s theorem was found by Itô and Nisio. It provides a powerful tool to deduce the uniform convergence of stochastic processes from their pointwise convergence in Karkhunen-Loeve-type series expansions. Unfortunately, this tool fails in stronger than uniform modes of... read more