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Skip to Search Results 7Frei, Christoph (Mathematical and Statistical Sciences)
 7Kong, Linglong (Mathematical and Statistical Sciences)
 7Lewis, Mark (Mathematical and Statistical Sciences)
 6Han, Bin (Mathematical and Statistical Sciences)
 6Hillen, Thomas (Mathematical and Statistical Sciences)
 6Mizera, Ivan (Mathematical and Statistical Sciences)

Fall 2021
Kernel methods are often used for nonlinear regression and classification in machine learning because they are computationally cheap and accurate. Fourier basis and wavelet basis are the bases that can efficiently approximate the kernel functions. In previous research, Bayesian approximate kernel...

Beyond Static Classification: Longterm Fairness for Minority Groups via Performative Prediction and Distributionally Robust Optimization
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In recent years machine learning (ML) models have begun to be deployed at enormous scales, but too often without adequate concern for whether or not an ML model will make fair decisions. Fairness in ML is a burgeoning research area, but work to define formal fairness criteria has some serious...

Fall 2013
Various analytical methods are available to analyze repeated measures data for both continuous and discrete data. In the case of discrete data, most methods are based on the assumption of asymptotic normality, requiring large samples. Naturally, their small sample performance may not match the...

Fall 2011
In this thesis we report on several projects that stemmed out from an attempt to obtain an example for the last class in DoranMorgan classification of ``variations of Hodge structure which can underlie families of CalabiYau threefolds over the thricepunctured sphere with $b^3 = 4$, or...

Categories of Weight Modules for Unrolled Quantum Groups and Connections to Vertex Operator Algebras
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Recently, numerous connections between the categories of modules $\mathrm{Rep}{\langle s \rangle} \mcM(r)$ for the singlet vertex operator algebra $\mcM(r)$ and $\mathrm{Rep}{wt}\overline{U}q^H(\mathfrak{sl}2)$ for the unrolled restricted quantum group $\overline{U}q^H(\mathfrak{sl}2)$ at $2r$th...

Fall 2014
We study the widespread logarithmic distribution of first significant digits and significands of data sets (referred to as Benford’s Law ) in the context of dynamical systems. Using recent tools and conditions under which a recursively defined sequence is Benford via the classical theory of...

Characterizing Population Heterogeneity of Salmonella Motion in Mucosal Environments Using Stochastic Modeling and the EM Algorithm
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Salmonella are pathogenic bacteria that infect many species including humans. This pathogen thrives in the gastrointestinal track of their hosts and propel themselves in mucus with motion structures called flagella. Each cell has multiple flagella that can rotate either synchronously, resulting...

Fall 2019
In the Journal of Algebra 323(2010) R. Barrington Leigh et al. derive the characters of the group of invertible 2 x 2 matrices over the integers modulo a power of an odd prime. We will generalize to certain local rings, and take quadratic extensions of this ring , by adjoining the root of a...