Abstract: The Kaczmarz algorithm is a method for solving linear systems of equations that was introduced in 1937. The algorithm is a powerful tool with many applications in signal processing and data science that has enjoyed a resurgence of interest in recent years. We'll discuss some of the history of the Kaczmarz algorithm as well as describ...
Creator:
Weber, Eric (Iowa State University)
Created:
2022-04-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
If A is a finite-dimensional algebra with automorphism group G, then varieties of generating r-tuples of elements in A, considered up to G-action, produce a sequence of varieties B(r) approximating the classifying space BG. I will explain how this construction generalizes certain well-known examples such as Grassmannians and configuration spaces...
Creator:
Williams, Ben (University of British Columbia)
Created:
2022-08-05
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, Hande will give an overview of some of the best practices a data scientist should know. These will include topics like virtual environments, utilizing functions, code documentation and other things that you could start incorporating in your data science projects or coding in general. She will also include some quick tips and advice...
Creator:
Tuzel, Hande (Sabre Corporation)
Created:
2022-02-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The Milnor–Moore theorem identifies a large class of Hopf algebras as enveloping algebras of the Lie algebras of their primitives. If we broaden our definition of a Hopf algebra to that of a braided Hopf algebra, much of this structure theory falls apart. The most obvious reason is that the primitives in a braided Hopf algebra no longer form a L...
Creator:
Westerland, Craig (University of Minnesota, Twin Cities)
Created:
2022-08-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Value creation in private equity investment portfolios is fundamental to delivering results for PE customers. Our focus is in the energy and transportation sectors, and by having deep understanding of how these industries work, we explore applications where advanced analytics and better use of data can create more efficient operations and growth...
Creator:
Einset, Erik (Global Infrastructures Partners)
Created:
2022-04-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk will describe a suite of physically inspired instruments we've developed to enable exploration of large-scale text data, illuminate collective behavioral patterns, and develop a science of stories. Along with our flagship efforts at http://hedonometer.org and https://storywrangling.org we show how Instagram photos reveal markers of dep...
Creator:
Kileel, Joe (The University of Texas at Austin)
Created:
2022-02-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Topological Azumaya algebras are topological shadows of more complicated algebraic Azumaya algebras defined over, for example, schemes. Tensor product is a well-defined operation on topological Azumaya algebras. Hence given a topological Azumaya algebra $\mathcal{A}$ of degree $mn$, where $m$ and $n$ are positive integers, it is a natural questi...
Creator:
Arcila-Maya, Niny (Duke University)
Created:
2022-08-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In order to incorporate ideas from algebraic topology in concrete contexts such as topological data analysis and topological lattice field theories, one needs effective constructions of concepts defined only abstractly or axiomatically. In this talk, I will discuss such constructions for certain invariants derived from the cup product on the coh...
Creator:
Medina-Mardones, Anibal (Max Planck Institute for Mathematics)
Created:
2022-08-02
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will talk about equivariant homotopy theory and its role in the proof of the Segal conjecture and the Kervaire invariant one problem. Then, I will talk about chromatic homotopy theory and its role in studying the stable homotopy groups of spheres. These newly established techniques allow one to use equivariant machinery to attack chromatic com...
Creator:
Shi, XiaoLin (Danny) (University of Chicago)
Created:
2022-08-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Clustering algorithms based on mean shift or spectral methods on graphs are ubiquitous in data analysis. However, in practice, these two types of algorithms are treated as conceptually disjoint: mean shift clusters based on the density of a dataset, while spectral methods allow for clustering based on geometry. In joint work with Nicolás ...
Creator:
Craig, Katy (University of California, Santa Barbara)
Created:
2022-02-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.