Abstract of Leandro Recova's talk
Title: Space vectors forming rational angles Abstract: We classify all possible configurations of vectors in three-dimensional space with the property that any two of the vectors form an angle whose measure is a rational multiple of π. As a corollary, we find all tetrahedra whose six dihedral angles are all rational multiples of π.While these […]
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 […]
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 […]
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), […]
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 […]
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.
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 […]
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 […]
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 […]
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 […]
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 […]
