Working Groups

Topological Data Analysis Seminar

Thursday, Mar 21, 2019, MC 105B, 3:30-4:30 - Michael Lesnick (SUNY/Albany), Computational aspects of 2-parameter persistent homology.

Abstract: In topological data analysis, one associates to the data a filtered topological space, whose structure we then examine using persistent homology. However, in many settings, a single filtered space is not a rich enough invariant to encode the interesting structure of the data. This motivates the study of multi-parameter persistence, which associates to the data a topological space simultaneously equipped with two or more filtrations. The homological invariants of these “multi-filtered spaces,” called persistence modules, are much richer than their 1-D counterparts, but also far more complicated. As such, adapting the usual 1-parameter persistent homology methodology for data analysis to the multi-parameter setting requires new ideas. For the past few years, I have been working with several collaborators on RIVET, a practical software tool for the visualization and analysis of 2-parameter persistent homology. One key new feature of RIVET is a fast algorithm for computing minimal presentations in the 2-parameter persistence setting; this is joint work with Matthew Wright. Perhaps surprisingly, the computational cost of the algorithm turns out to be similar to that of the standard algorithm for computing 1-parameter persistent homology. In this talk, I’ll introduce 2-parameter persistent homology, RIVET, and (time permitting) our algorithm for computing minimal presentations.

 

 

Data Security Seminar

Thursday, Mar 22, 2018 - Aleksander Essex (Electrical & Computer Engineering), Computing threshold functions under encryption

CBC news article about Aleks' work:   

Thursday, Apr 5, 2018 - Chris Hall (Mathematics), An Overview of Blockchains
  
 


 Spring 2018 Schedule

2/1/2018

Zhou Lan: Bayesian Nonparametric Spatial Modeling With Dirichlet Process Mixing

3/1/2018

Yawen Guan: A Multiresolution Gaussian Process Model

3/15/2018

Arnab Hazra: Nonparametric Bayesian models for a spatial covariance

4/5/2018

Indranil Sahoo: Characterizing spatial processes on Spheres

4/12/2018

Whitney Huang: Spatial Point Process

 Fall 2017 Schedule

9/7/2017

Whitney Huang: Introduction to Spatial Statistics

9/21/2017

Maggie Johnson: Hierarchical Modeling with Spatial Data

10/19/2017

Yuan Tian: Introduction to Extreme Value Analysis

11/2/2017

Zhou Lan: Low-Rank Representations for Spatial Processes

11/16/2017

Alexandra Larsen: Continuous Parameter Spatio-Temporal Processes

 

Please visit the Westen Cryptography Research Group website for more information:

 

Homotopy Type Theory Electonic Seminar Talks

Please visit the Homotopy Type Theory Electonic Seminar Talks website for more information: /math/faculty/kapulkin/seminars/hottest.html