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.
Food has always been a part of Emilee Xayanourom's life. She grew up making and eating authentic Lao dishes, and now owns a food truck with her family so that she can share her love of food with others in Minnesota.
Creator:
Xayanourom, Emilee
Contributor:
Rolland, Isabella
Created:
2022-04-19
Contributed By:
University of Minnesota, Immigration History Research Center
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.
Ernesto's granddaughter Isabel talks about her experienes being from an immigrant family. Then, Ernesto is interviewed about his life in the Philippines and his perspective on his life as an immigrant in the U.S.
Creator:
Laderman, Isabel
Contributor:
Rolland, Isabella
Created:
2022-04-12
Contributed By:
University of Minnesota, Immigration History Research Center
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.
I will share some reminiscences of my many years working with Gunnar. The career that I have had would not have been possible without his kindness, wisdom, and generosity.
Creator:
de Silva, Vin (Pomona College)
Created:
2022-08-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The Gromov-Hausdorff distance between two metric spaces is an important tool in geometry, but it is difficult to compute. For example, the Gromov-Hausdorff distance between unit spheres of different dimensions is unknown in nearly all cases. I will introduce recent work by Lim, Mémoli, and Smith that finds the exact Gromov-Hausdorff distances be...
Creator:
Adams, Henry (Colorado State University)
Created:
2022-08-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Configuration spaces of disks in a region of the plane vary according to the radius of the disks, and their topological invariants such as homology also vary. Realizing a given homology class means coordinating the motion of several disks, and if there is not enough space for the disks to move, the homology class vanishes. We explore how cluster...
Creator:
Alpert, Hannah (Auburn University)
Created:
2022-08-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Modern learning algorithms such as deep neural networks operate in regimes that defy the traditional statistical learning theory. Neural networks architectures often contain more parameters than training samples. Despite their huge complexity, the generalization error achieved on real data is small. In this talk, we aim to study the generalizati...
Creator:
Seroussi, Inbar (Weizmann Institute of Science)
Created:
2022-04-12
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Many diseases are complex heterogeneous conditions that affect multiple organs in the body and depend on the interplay between several factors that include molecular and environmental factors, thus requiring a holistic approach in understanding the complexity and heterogeneity. In this talk, I will present some of our current statistical and ma...
Creator:
Safo, Sandra (University of Minnesota, Twin Cities)
Created:
2022-02-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In the context of numerical linear algebra algorithms, where it is natural to sacrifice accuracy in return for quicker computation of solutions whose errors are only slightly larger than optimal, the time-accuracy tradeoff of randomized sketching has been well-characterized. Algorithms such as Blendenpik and LSRN have shown that carefully design...
Creator:
Gittens, Alex (Rensselaer Polytechnic Institute)
Created:
2022-01-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Margaret Deirdre O'Hartigan is an Irish Catholic transsexual woman, transsexual health and rights activist, writer, and retired secretary and typesetter living in Portland, Oregon. Prior to her retirement, O'Hartigan was involved in a number of trans civil rights and nondiscrimination campaigns in Oregon, Washington, and Minnesota, including suc...
Creator:
O'Hartigan, Margaret Deirdre (interviewee)
Contributor:
Billund-Phibbs, Myra (interviewer, project manager, and transciber)
Created:
2022-04-06
Contributed By:
University of Minnesota Libraries, Jean-Nickolaus Tretter Collection in Gay, Lesbian, Bisexual and Transgender Studies.
Lillian Gamm arrived at Ellis Island from Russia on April 19, 1910. While living in Manhattan, she worked hard as a bookkeeper, raised a family, and pursued her dreams.
Creator:
Feldman, Jonah
Contributor:
Rolland, Isabella
Created:
2022-05-02
Contributed By:
University of Minnesota, Immigration History Research Center
We develop a theory of limits for sequences of dense abstract simplicial complexes, where a sequence is considered convergent if its homomorphism densities converge. The limiting objects are represented by stacks of measurable [0,1]-valued functions on unit cubes of increasing dimension, each corresponding to a dimension of the abstract simplici...
Creator:
Segarra, Santiago (Rice University)
Created:
2022-08-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Luu Nhat Tam Ngyuen moved to the U.S. with her mom and dad in 2019. Unfortunately, her sister was not able to join them because of her age. Luu Nhat Tam is the only person who can speak English in her family.
Creator:
Nguyen, Luu Nhat Tam
Contributor:
Rolland, Isabella
Created:
2022-05-09
Contributed By:
University of Minnesota, Immigration History Research Center
In this talk, I focus on the multivariate method of moments for parameter estimation. First from a theoretical standpoint, we show that in problems where the noise is high, the number of observations necessary to estimate parameters is dictated by the moments of the distribution. Second from a computational standpoint, we address the curse of di...
Creator:
Pereira, Joao (The University of Texas at Austin)
Created:
2022-04-05
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A well-known and very useful result in algebraic topology is the statement that the Euler characteristic of G/N(T) in singular cohomology is 1, where G is a compact Lie group and N(T) is the normalizer of a maximal torus. In the presence of a transfer map as constructed by Becker and Gottlieb the above result shows that in any generalized cohomo...
Creator:
Joshua, Roy (The Ohio State University)
Created:
2022-08-02
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Adversarial training is a framework widely used by machine learning practitioners to enforce robustness of learning models. Despite the development of several computational strategies for adversarial training and some theoretical development in the broader distributionally robust optimization literature, there are still several theoretical quest...
Creator:
Garcia Trillos, Nicolas (University of Wisconsin, Madison)
Created:
2022-03-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Mathematics students learn a powerful technique for proving theorems about an arbitrary natural number: the principle of mathematical induction. This talk introduces a closely related proof technique called "path induction," which can be thought of as an expression of Leibniz's "indiscernibility of identicals": if x and y are identified, then th...
Creator:
Riehl, Emily (Johns Hopkins University)
Created:
2022-08-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Cohomological ideas have recently been injected into persistent homology and have for example been used for accelerating the calculation of persistence diagrams by softwares, such as Ripser. The cup product operation which is available at cohomology level gives rise to a graded ring structure that extends the usual vector space structure and is ...
Creator:
Zhou, Ling (The Ohio State University)
Created:
2022-08-02
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Persistent homology is a main tool in topological data analysis. So it is natural to ask how strong this quantifier is and how much information is lost. There are many ways to ask this question. Here we will concentrate on the case of level set filtrations on simplicial sets. Already the example of a triangle yields a rich structure with the Möb...
Creator:
Tillmann, Ulrike (University of Oxford)
Created:
2022-08-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will review the theory of ramification in number theory and then show that being totally ramified or unramified is equivalent to a natural condition in higher algebra. This leads to a much simplified calculation of THH of a ring of integers in a number field, relying on ramified descent (a kind of weaker etale descent).
Creator:
Berman, John (University of Massachusetts)
Created:
2022-08-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The assumption that high dimensional data is Gaussian is pervasive in many statistical procedures, due not only to its tail decay, but also to the level of analytic tractability this special distribution provides. We explore the relaxation of the Gaussian assumption in Single Index models and Shrinkage estimation using two tools that originate i...
Creator:
Goldstein, Larry (University of Southern California)
Created:
2022-03-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Sarah Reyes was born in the Phlippines and moved to the U.S. when she was in middle school. Though she faced a lot of racial discrimination in her first years of being here, she eventually found a Filipino American community that she is proud to be a part of now.
Creator:
Haakonsen, Malia
Contributor:
Rolland, Isabella
Created:
2022-05-02
Contributed By:
University of Minnesota, Immigration History Research Center
Federated machine learning (FL) is gaining a lot of traction across research communities and industries. FL allows machine learning (ML) model training without sharing data across different parties, thus natively supporting data privacy. However, designing and executing FL jobs is not an easy task today. Flame is an open-source project that aims...
Creator:
Le, Myungjin (Cisco)
Created:
2022-04-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I would like to talk about the interaction of traditional algebraic topology and homotopy theory with applied topology, and specifically describe specifically some opportunities for better integration of "higher tech" techniques into applications.
Creator:
Carlsson, Gunnar (Stanford University)
Created:
2022-08-05
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In recent years, the need to accommodate non-Euclidean structures in data science has brought a boom in deep learning methods on graphs, leading to many practical applications with commercial impact. In this talk, we will review the mathematical foundations of the generalization capabilities of graph convolutional neural networks (GNNs). We will...
Creator:
Levie, Ron (Ludwig-Maximilians-Universität München)
Created:
2022-02-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
To understand the function of neurons, as well as other types of cells in the brain, it is essential to analyze their shape. Perhaps unsurprisingly, topology provides us with tools ideally suited to performing such an analysis. In this talk I will present a selection of the results of a long-standing collaboration with Lida Kanari of the Blue Br...
Creator:
Kathryn Hess-Bellwald, Kathryn (École Polytechnique Fédérale de Lausanne (EPFL))
Created:
2022-08-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk I will give an overview of two related projects. The first project concerns the high-degree rational cohomology of the special linear group of a number ring R. Church--Farb--Putman conjectured that, when R is the integers, these cohomology groups vanish in a range close to the virtual cohomological dimension. The groups SL_n(R) sati...
Creator:
Wilson, Jenny (University of Michigan)
Created:
2022-08-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The game of football is undergoing a significant shift towards the quantitative. Much of the progress made in the analytics space can be attributed to play-by-play data and charting data. However, recent years have given rise to tracking data, which has opened the door for innovation that was not possible before. In this talk I will describe ho...
Creator:
Eager, Eric (ProFootballFocus
Created:
2022-02-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Multimorbidity, the coexistence of two or more health conditions, has become more prevalent as mortality rates in many countries have declined and their populations have aged. Multimorbidity presents significant difficulties for Clinical Decision Support Systems (CDSS), particularly in cases where recommendations from relevant clinical guideline...
Creator:
Michalowski, Martin (University of Minnesota, Twin Cities)
Created:
2022-03-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I'll discuss a method for approximating the super-level set persistent homology of a Gaussian kernel density estimator for a point cloud data set, which is related to the witness complex. Instead of selecting elements of the data set, the witnesses are generated using quadratic programming, and the shifted Voronoi diagram (aka the power diagram)...
Creator:
Carlsson, Erik (University of California, Davis)
Created:
2022-08-02
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Yeshi Gongpatsang was forced to flee her home country of Tibet in 1969 when the Chinese Communist Party invaded. When she came to the U.S., she still risked her life by doing a hunger strike to raise awareness about injustices in Tibet.
Creator:
Lobsang, Ngawang
Contributor:
Rolland, Isabella
Created:
2022-04-26
Contributed By:
University of Minnesota, Immigration History Research Center
Yubin Sun was born in South Korea, went to college in Japan, and is now an international student at the University of Minnesota. Her journey was delayed because of Covid-19, but she is grateful for her experiences.
Creator:
Sun, Yubin
Contributor:
Rolland, Isabella
Created:
2022-04-26
Contributed By:
University of Minnesota, Immigration History Research Center
The Metropolis Algorithm is an extremely useful and popular method of approximately sampling from complicated probability distributions. "Adaptive" versions automatically modify the algorithm while it runs, to improve its performance on the fly, but at the risk of destroying the Markov chain properties necessary for the algorithm to be valid. I...
Creator:
Rosenthal, Jeffrey (University of Toronto)
Created:
2021-03-23
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Each of these three posters contains digital art offering a piece of advice during the COVID-19 pandemic. The first poster contains a digital drawing of a person with long blond hair sitting in a cross-legged position with their eyes closed. Text at the top of the poster reads: "meditation." Text at the bottom of the poster reads: "Take time out...
Creator:
Wertish, Sydney
Created:
2021-09
Contributed By:
Archives and Special Collections, Kathryn A. Martin Library, University of Minnesota Duluth
