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Nonlinear Algebra and Statistics (NLASTATS) Seminar

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Algebraic Statistics Seminar Archive

Lulu Kang, Associate Professor of Applied Mathematics, Illinois Tech
Nov 15, 2019 - 10:00am to 11:30am
College of Science, Applied Mathematics - Seminar - RE 242
A/B testing refers to the statistical procedure of conducting an experiment to compare two treatments applied to different testing subjects. The subjects participating in the online A/B testing experiments are users who are connected in social networks. Two connected users are similar in terms of... read more
Fri.
Nov 15
Jason Morton– Department of Mathematics, Pennsylvania State University
Nov 1, 2019 - 12:45pm to 1:45pm
College of Science, Applied Mathematics - Seminar - RE 114
Many statistical models for discrete data have a set of algebraic invariants that vanish on any probability distribution which is a member of the model.  We discuss a new idea for performing goodness-of-fit tests on these models using such algebraic invariants.  This approach may work... read more
Fri.
Nov 1
Sara Jamshidi Zelenberg - Illinois Institute of Technology
Oct 11, 2019 - 10:00am to 11:15am
Applied Mathematics - Seminar - RE 242
Neural networks are often treated as black-box methods for solving unknown problems. In this talk, however, we will attempt to make them a little more transparent, especially from an algebraic perspective. We'll discuss some of the considerations when attempting to use these tools in the field of... read more
Fri.
Oct 11
Sonja Petrovic, Associate Professor, Department of Applied Mathematics, Illinois Institute of Technology
Oct 4, 2019 - 10:00am to 11:15am
College of Science, Applied Mathematics - Seminar - RE 242
Many computer algebra systems offer excellent algorithms for manipulation of polynomials. But despite great success in the field, many algebraic problems have bad worst-case complexity.  In prior work with Jesus De Loera and Despina Stasi, we imported an efficient randomized sampling algorithm... read more
Fri.
Oct 4
Jelena Mihajlovic-Karic - Department of Applied Mathematics, Illinois Institute of Technology
Sep 20, 2019 - 10:00am to 11:15am
College of Science, Applied Mathematics - Seminar - Rettaliata Engineering Center, Room 242
In response to the increased interest in machine learning to solve mathematical problems combined with the complexity inherent in computing Gröbner bases, we create a Gröbner basis database. Through this database we aim to provide a platform where researchers and practitioners can: obtain accurate... read more
Fri.
Sep 20
William Schwartz - Department of Applied Mathematics, Illinois Institute of Technology
Jan 15, 2019 - 12:45pm to 1:45pm
College of Science, Applied Mathematics - Seminar - Rettaliata Engineering Center 102
In this talk I introduce a generic, statistical model of longitudinal/panel network data analyzable with existing tools for popular, single-observation network models. The existing network models have been used since the 1980s to describe social networks of a fixed set of people whose friendships... read more
Tue.
Jan 15
Mateja Raic - Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago
Nov 6, 2018 - 10:00am to 11:00am
College of Science, Applied Mathematics - Seminar - Rettaliata Engineering Center, Room 102
We study networks from a point of view of exponential random graph models. This flexible and versatile statistical family comes equipped with tools to perform inferential statistics, however the standard toolbox assumes large sample sizes and the use of asymptotic theory. In networks, this... read more
Tue.
Nov 6
Christopher O'Neill - Department of Mathematics, University of California at Davis
Apr 26, 2018 - 1:50pm to 3:00pm
College of Science, Applied Mathematics - Seminar - Rettaliata Engineering Center, Room 119
An affine semigroup \(S\) is a subset of \(\mathbb Z_{\geq 0}^k\) that is closed under vector addition, and a factorization of \(a\in S\) is an expression of \(a\) as a sum of generators of \(S\). The delta set of \(a\) is a set of positive integers determined by the ``missing factorization lengths... read more
Thu.
Apr 26
Sonja Petrovic - Department of Applied Mathematics, Illinois Institute of Technology
Apr 25, 2018 - 12:50pm to 1:50pm
College of Science, Applied Mathematics - Seminar - Rettaliata Engineering Center, Room 122
This set of lectures covers some of the basics of how algebraic statistics is used for network modeling. Topics of this lecture include the following: Exponential random graph models. Log-linear models. Sufficient statistics. Example of a small network. Markov bases for conditional tests. 
Wed.
Apr 25
Sonja Petrovic - Department of Applied Mathematics, Illinois Institute of Technology
Apr 18, 2018 - 1:50pm to 2:50pm
College of Science, Applied Mathematics - Seminar - Rettaliata Engineering Center, Room 122
This set of lectures covers some of the basics of how algebraic statistics is used for network modeling. We will start by introducing some basic concepts and relevant background. Topics include the following: A statistics primer: introduction to hypothesis test for goodness of fit testing.... read more
Wed.
Apr 18

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