TAG in Mathematics of Data Science 2023
A Workshop at the Joint Math Meetings (JMM 2023), Boston, MA, January 5-6, 2023
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Whether it is clustering, classification, or regression, at a very basic level, many problems in data science can be reduced to understanding the shape, symmetries, and spatial relationships of collections of points living in a high-dimensional space. It's little wonder then that topology, algebra, and geometry (TAG) are playing an ever greater (if sometimes still understated) role in the field. Whether it is helping interpret and improve today's state-of-the-art models or driving progress towards the algorithms of tomorrow, topology, algebra, and geometry are a powerful lens with which to understand the principal algorithms and methods of data science. In this third annual special session we will hear from some of the top researchers at the intersection of TAG and data science.
1:00 PM
Michael Perlmutter1, Deanna Needell2, Joyce Chew1, Smita Krishnaswamy3, Matthew Hirn4, Hau-tieng Wu5, Holly Steach3 and Siddharth Viswanath6, (1)UCLA, (2)UCLA, Los Angeles, CA, (3)Yale, (4)Michigan State University, East Lansing, MI, (5)Duke University, (6)UC Irvine
Room 206 (Second Level, Hynes Convention Center)
1:30 PM
James Benjamin Wilson, Colorado State University, Peter A Brooksbank, Bucknell University and Martin Kassabov, Cornell University
Room 206 (Second Level, Hynes Convention Center)
2:00 PM
Discrete topological methods for cybersecurity, network science, and machine learning
Steve Huntsman, independent
Room 206 (Second Level, Hynes Convention Center)
2:30 PM
Symmetries of Deep Learning Models and their Internal Representations
Charles Godfrey1, Davis Richard Brown1, Tegan Emerson2 and Henry Kvinge3, (1)Pacific Northwest National Laboratory, (2)Pacific Northwest National Laboratory, Redmond, OR, (3)Pacific Northwest National Laboratory, Seattle, WA
Room 206 (Second Level, Hynes Convention Center)
3:00 PM
Moduli spaces and functional dimension for feedforward ReLU neural networks
Kathryn Anne Lindsey, Boston College, Pawtucket, RI
Room 206 (Second Level, Hynes Convention Center)
3:30 PM
Anna Seigal, Harvard University, Chandler Squires, MIT and Caroline Uhler, Massachusetts Institute of Technology, Cambridge, MA
Room 206 (Second Level, Hynes Convention Center)
4:00 PM
Geodesic Properties of a Generalized Wasserstein Embedding for Time Series Analysis
Shiying Li, University of North Carolina, Chapel Hill
Room 206 (Second Level, Hynes Convention Center)
4:30 PM
Davis Richard Brown1, Charles Godfrey2, Cody Nizinski1, Jonathan H Tu1 and Henry Kvinge3, (1)Pacific Northwest National Laboratory, (2)University of Washington, Seattle, WA, (3)Pacific Northwest National Laboratory, Seattle, WA
Room 206 (Second Level, Hynes Convention Center)
8:00 AM
Covering point-sets with parallel hyperplanes and sparse signal recovery
Lenny Fukshansky, Claremont McKenna College, Claremont, CA and Alexander Hsu, University of Washington
Republic B (2nd Floor, Sheraton Boston Hotel)
8:30 AM
Sarah McGuire, Michigan State University, Elizabeth Munch, Michigan State University, Okemos, MI and Matthew Hirn, Michigan State University, East Lansing, MI
Republic B (2nd Floor, Sheraton Boston Hotel)
9:00 AM
Supervised learning of sheared distributions using linearized optimal transport.
Varun Khurana, University of California, San Diego
Republic B (2nd Floor, Sheraton Boston Hotel)
9:30 AM
Understanding Deep Learning using Topological Dynamical Systems, Index Theory, and Homology
Bill Basener, University of Virginia, School of Data Science and Stephen Baek, Univirsity of Virginia, School of Data Science
Republic B (2nd Floor, Sheraton Boston Hotel)
10:00 AM
Hannah Lawrence1, Kristian Georgiev2, Andrew Dienes2 and Bobak Kiani2, (1)MIT, Cambridge, MA, (2)MIT
Republic B (2nd Floor, Sheraton Boston Hotel)
10:30 AM
Shuchin Aeron, Tufts University
Republic B (2nd Floor, Sheraton Boston Hotel)
1:00 PM
Manuchehr Aminian1, Kristin Scoggin2, Aravindh Nagarajan2 and Helene Andrews-Polymenis2, (1)Cal Poly Pomona, Pomona, CA, (2)Texas A&M University
Republic B (2nd Floor, Sheraton Boston Hotel)
1:30 PM
Manifold Reconstruction and Denoising from Scattered Data in High Dimension
Shira Faigenbaum-Golovin, Duke University and David Levin, Professor, School of Mathematical Sciences, Tel Aviv University, Israel
Republic B (2nd Floor, Sheraton Boston Hotel)
2:00 PM
The Effect of Parametrization on Nonconvex Optimization Landscapes
Joe Kileel, University of Texas at Austin, Austin, TX
Republic B (2nd Floor, Sheraton Boston Hotel)
2:30 PM
Vitaliy A Kurlin, University of Liverpool (UK)
Republic B (2nd Floor, Sheraton Boston Hotel)
3:00 PM
An Application of the Delaunay-Rips Complex to Sleep-Wake Classification Using Heart Rate Data
Mr. Amish Mishra, MS, Florida Atlantic University, Boca Raton, FL
Republic B (2nd Floor, Sheraton Boston Hotel)
3:30 PM
Jorio Cocola, Harvard University
Republic B (2nd Floor, Sheraton Boston Hotel)
4:00 PM
Audun Myers, Pacific Northwest National Laboratory, Lansing, MI, Firas Khasawneh, Michigan State University and Elizabeth Munch, Michigan State University, Okemos, MI
Republic B (2nd Floor, Sheraton Boston Hotel)
4:30 PM
Eliza O'Reilly, Caltech, Pasadena, CA
Republic B (2nd Floor, Sheraton Boston Hotel)
5:00 PM
Timothy Duff, University of Washington, Seattle, WA
Republic B (2nd Floor, Sheraton Boston Hotel)
5:30 PM
Wasserstein Labeled Graph Metrics and Stabilities for Clustering
Michael G Rawson, PNNL
Republic B (2nd Floor, Sheraton Boston Hotel)
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