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January 2022
APPLIED MATH SEMINAR: Archetypal analysis by Professor Braxton Osting (University of Utah)
Archetypal analysis is an unsupervised learning method that uses a convex polytope to summarize multivariate data. For fixed k, the method finds a convex polytope with k vertices, called archetype points, such that the polytope is contained in the convex hull of the data and the mean squared distance between the data and the polytope is minimal. In this talk, I'll give an overview of the method and discuss connections to matrix factorization, SVD/PCA, and the k-means clustering method. I'll…
Find out more »February 2022
Applied Math Seminar — Yunied Puig de Dios (CMC)
Title: Modern techniques to approach the invariant subspace problem Abstract: The invariant subspace problem is by far one of the most important problems in operator theory. It has been open for more than half a century, and there are many significant contributions with a huge variety of techniques, making this challenging problem so interesting; however the solution seems to be nowhere in sight. In this talk we are going to present a technique born in the 90's and developed in…
Find out more »Applied Math Seminar — Illia Karabash (IAMM of NAS of Ukraine and TU Dortmund)
Title: Pareto optimization of resonances and optimal control methods Abstract: First successes in fabrication of high-Q optical cavities two decades ago led to active applied physics and numerical studies of optimization problems involving resonances. The questions is how to design an open resonator that has an eigenvalue as close as possible to the real line under certain constraints. The analytic spectral optimization theory for such types of non-Hermitian eigenproblems is still in the stage of development. It is planned to…
Find out more »March 2022
Applied Math Seminar — Jamie Haddock (HMC)
Title: TBD Abstract: TBD
Find out more »April 2022
Applied Math Seminar — Kathryn Link (UC Davis)
Title: TBD Abstract: TBD
Find out more »Applied Math Seminar — Kathryn G. Link (UC Davis)
Title: Viscoelastic Effects of Spontaneous Oscillations of Elastic Filaments in the Follower-Force Problem. Abstract: It is well know that microorganisms, such as bacteria and eukaryotes, often move in intricate environments experiencing mechano-chemical dynamics. These environments consist of rheologically complex substances such as mucus and other biofilms that are more complicated than water. Spermatozoa (sperm), for example, swim in viscoelastic mucus via deformations of their flagella, which are slender threadlike structures that are powered by internal molecular motors. The motor activity…
Find out more »Applied Math Seminar — Applied Attractions at Claremont Colleges
During this student-centered Applied Math Seminar, there will be discussion and presentation about upcoming courses in applied mathematics to help students make their enrollment choices for Fall 2022 and beyond.
Find out more »Applied Math Seminar — Alona Kryshchenko (CSUCI)
Title: TBD Abstract: TBD
Find out more »May 2022
Applied Math Seminar — Almut Burchard (U. Toronto)
Title: What is the best shape? Geometric problems arising in aggregation models Abstract: How do pair interactions shape the large-scale behaviour of a cloud of particles (animals, social agents ...) ? In the most basic models, the shape of the cloud is determined by minimizing an attractive-repulsive interaction energy under suitable geometric constraints. When can we expect aggregation to occur? what is the shape of the resulting flock? I will describe recent work on optimal shapes in capacitor problems that…
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