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Three Perspectives of Schiemann’s Theorem
(2020-06-23)
Interest in the field of spectral geometry, the study of how analytic and geometric properties of
manifolds are related, was sparked when Marc Kac in 1966 asked the question “can one hear the
shape of a drum?”. One of ...
Delayed-acceptance approximate Bayesian computation Markov chain Monte Carlo: faster simulation using a surrogate model
(2020-01-09)
The thesis introduces an innovative way of decreasing the computational cost of approximate
Bayesian computation (ABC) simulations when implemented via Markov
chain Monte Carlo (MCMC). Bayesian inference has enjoyed ...
Group Invariant Convolutional Boltzmann Machines
(2020-12-04)
We investigate group invariance in unsupervised learning in the context of certain generative networks based on Boltzmann machines. Specifically, we introduce a generalization of restricted Boltzmann machines which is ...
Volatility Curves of Incomplete Markets
(2020-06-23)
The graph of the implied volatility of call options as a function of the strike price
is called volatility curve. If the options market were perfectly described by the
Black-Scholes model, the implied volatility would ...
Convolutional neural networks for semantic segmentation of FIB-SEM volumetric image data
(2020-11-26)
Focused ion beam scanning electron microscopy (FIB-SEM) is a well-established microscopy
technique for 3D imaging of porous materials. We investigate three porous
samples of ethyl cellulose microporous films made from ...
An exploratory machine learning workflow for the analysis of adverse events from clinical trials
(2020-06-26)
A new pharmaceutical drug needs to be shown to be safe and effective before it can
be used to treat patients. Adverse events (AEs) are potential side-effects that are
recorded during clinical trials, in which a new drug ...
Always Look on the Positive-Definite Side of Life
(2020-11-24)
This thesis concerns distributions on Rn with the property of being positive-definite relative
to a finite subgroup of the orthogonal group O(n). We construct examples of such distributions
as the inverse Abel transform ...