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September 2020

Applied Math Talk: Variable Selection via Arbitrary Rectangle-Range Generalized Elastic Net given by Yujia Ding (CGU)

September 21 @ 3:00 pm - 4:00 pm
Emmy Noether Room, Millikan 1021, Pomona College, 610 N. College Ave.
Claremont, California 91711
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We propose a regularization and variable selection method, named arbitrary rectangle-range generalized elastic net (ARGEN). It can be applied in high dimensional sparse linear regression models. We propose an algorithm to solve ARGEN; it is an extension of multiplicative updates. Multiple simulation studies and a real-world application in the stock market show that ARGEN applies to more complicated problems, outperforms and extends the lasso, ridge, and elastic net.

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Student Research Presentations: I

September 23 @ 4:15 pm - 5:15 pm

4:20 pm Title: Methodology of Global Sensitivity Analysis for Determination of Important Parameters in a Mathematical Model Presenter: An Do (CGU) 4:30 pm Title: Using Data Science to gain insights into the relationship between Metagenomics and Psychiatric Disorders Presenter: Tom Fu (HMC) 4:40 pm Title: Classifying time series data via manifold techniques Presenter: Adam Guo (Pomona) 4:50 pm Title: Finding stability within chaos: Part I Presenter: Rafa Martinez-Avial, Siddharth Namachivayam (Pomona) 5:00 pm Title: Finding stability within chaos: Part II…

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Student Research Presentations II

September 23 @ 4:15 pm - 5:30 pm

4:20pm Title: Measuring Publication Bias in Foreign Language Editions of Russian State-Owned Media Company RT Presenter: Benjamin Figueroa (CMC) 4:30pm Title:Multilingual Emoticon Prediction of Tweets about COVID-19 Presenter: Stefanos Stoikos (Pomona), 4:40pm Title: Evaluating Word Embeddings on Low-Resource Languages Presenter: Nathan Stringham (Pomona), 4:50pm Title: An Epistemic Logic of Desires, Part I Presenters: Rui-Jie Yew (Scripps) and Wendy Zhang (Scripps), 5:00pm Title: An Epistemic Logic of Desires, Part II Presenters: Rui-Jie Yew (Scripps) and Wendy Zhang (Scripps), Presenters have a…

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Student Research Presentations III

September 23 @ 4:15 pm - 5:15 pm

4:20 Title: Nested Links, Linking Matrices, and Crushtaceans Presenter: Madeline Brown (Scripps) 4:30 Title: Computing Cube Decisions for Backgammon Endgame Positions Presenter: Mathus Leungpathomaram (HMC) 4:40 Title: The Limiting Spectral Measure for an Ensemble of Generalized Checkerboard Matrices Presenter: Jiahui Yu (Pomona) 4:50 Title: The Stationary Distribution of Recombination, Part I Presenters: Emma Kolesnik (Scripps), Sherry Hua (Pitzer), Ethan Ong (Pomona) 5:00 Title: The Stationary Distribution of Recombination, Part II Presenters: Emma Kolesnik (Scripps), Sherry Hua (Pitzer), Ethan Ong (Pomona)…

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Applied Math Talk: Nonlocal Helmholz-Hodge decompositions for nonlocal operators given by Prof. Petronela Radu (University of Nebraska – Lincoln)

September 28 @ 3:00 pm - 4:00 pm

Nonlocal theories have emerged with powerful models and methods to analyze and predict complex phenomena. Different versions of nonlocal operators have been proposed, each with its advantages and challenges. In this talk I will give an introduction to main ideas in the nonlocality framework and present two sets of results for Helmholtz-Hodge type decompositions.

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Prof. Jemma Lorenat

September 30 @ 4:15 pm - 5:15 pm

Title: A competent translation/a pitiful bungle: The Foundations of Geometry Abstract: David Hilbert’s Grundlagen der Geometrie is a rare example of a historical mathematics text that is still profitably read today and continues to inspire research in mathematics, computer science, and philosophy. The effort of publishing an English translation of Hilbert in 1902 involved a diverse swath of the American mathematical community. Edgar Jerome Townsend completed a first draft of his authorized translation in a few weeks, but the process…

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October 2020

Applied Math Talk: Multiwavelet discontinuous Galerkin methods and automated parameters for troubled cell indication given by Professor Jennifer Ryan (Colorado School of Mines)

October 5 @ 3:00 pm - 4:00 pm

This talk focuses on using a multiwavelet representation of the discontinuous Galerkin (DG) approximation for trouble cell indication. The multiwavelet representation is related to the jumps in the (derivatives of) the DG approximation. We then compare this indicator with other, more established indicators as well as machine learning approaches and demonstrate that it is possible to choose the parameters for troubled cell indicators automatically and appropriately.

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Prof. Satyan Devadoss

October 7 @ 4:15 pm - 5:15 pm

Title: Unsolved Mathematics at Burning Man Abstract: Rising 12 feet tall with an 18-foot wingspan, a 2-ton unfolding dodecahedron comes to life at Burning Man, the world’s most influential large-scale sculpture showcase. The artwork is illuminated by 16,000 LEDs, requiring 6500 build-hours and $50,000 in donated funds, with an interior large enough to hold 15 people and fully-lined with massive mirrors. This sculpture alludes to a tantalizing open problem in mathematics on unfolding polyhedra, tracing its origins back 500 years…

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Applied Math Talk: Bounded-confidence models for opinion dynamics on online social networks given by Professor Heather Zinn Brooks (HMC)

October 12 @ 3:00 pm - 4:00 pm

Online social media networks have become extremely influential sources of news and information. Given the large audience and the ease of sharing content online, the content that spreads on online social networks can have important consequences on public opinion, policy, and voting. To better understand the online content spread, mathematical modeling of opinion dynamics is becoming an increasingly popular field of study. In this talk, I will introduce you to a special class of models of opinion dynamics on networks called bounded-confidence…

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Prof. Grigoriy Blekherman

October 14 @ 4:15 pm - 5:30 pm

Title: Nonnegative Polynomials and Sums of Squares Abstract: Is x4-2x3+7x2-2x+1 nonnegative for any value of x? One way of showing that this holds is by writing x4-2x3+7x2-2x+1=1/2(x2-3x+1)2+1/2(x2+x+1)2. Studying the relationship between non-negativity and sums of squares has a distinguished history in mathematics starting with work of David Hilbert and Hilbert's 17th problem. I will discuss the history and some modern applications of sums of squares in optimization and combinatorics. Prof. Blekherman is on the Mathematics faculty at Georgia Tech; he…

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