Rapid changes in global climate are pushing nations to reduce CO2 emissions and adopt clean energy technologies for renewable energy generation and storage. As wind and solar are implemented worldwide, a commensurate response in energy storage will need to be installed to meet fluctuations in peak energy demands and generation...
This thesis focuses on the application of neural networks to three types of classification tasks, each work with its own chapter. The objective of the first work is to take advantage of deep neural networks in order to make next day crime count predictions in a fine-grain city partition. We...
In this dissertation, we aim to develop efficient algorithms with theoretical guarantees for several data-driven decision making problems. Specifically, we study the data-driven deci- sion making from three different perspectives: statistical learning, nonconvex optimization, and control of stochastic system. This dissertation contains three parts. In the first part, we study...
Understanding associative memory is fundamental for a variety of neurological and neurodegenerative diseases, however, a large proportion of this research has excluded female subjects due to unsubstantiated bias. By including intact females, ovariectomized females and males in the study of associative memory, clear sex differences in acquisition emerged. Female mice...
We study modular forms, Jacobi forms, and hermitian formal Fourier-Jacobi series over imaginary quadratic fields. In the first section, we prove that the ring of classical Jacobi forms of a fixed genus g, varying index m and weight k is generated by theta functions. From this result we show that...
Since Infrared radiation was discovered in 1800s, the research and applications on the infrared regime have been continually developed. The infrared detectors are the key technology in these applications and have been successfully used for medical imaging, light detection and ranging (LiDAR), free-space optical communication, target tracking and object identification...
Nanocarriers as structures with at least one dimension in the nanometer scale are capable of loading small molecule therapeutics that would otherwise have poor bioavailability, non- specific uptake, and off target effects. Polymeric nanocarriers can be modified to tune their chemical and biological behavior to better suit the intended application....
The negative early and late health consequences from exposure to artificial sources of radiation are particularly apparent in victims of radiological emergencies who were diagnosed with cancer, radiation pneumonitis, among other conditions. The renaissance of nuclear energy, increased use of ionizing radiation in the medical field, and nuclear threats from...
Harnessing the metabolic potential of methanotrophic bacteria is a compelling strategy for the bioremediation of environmentally harmful methane gas. Methanotrophs can activate a 105 kcal/mol C-H bond in methane at ambient conditions using metalloenzymes called methane monooxygenases (MMOs). Particulate methane monooxygenase (pMMO) is a copper-dependent, membrane-bound enzyme that is the...
In this thesis, we consider the spherical spin glass models at zero temperature. We first determine the structureof the Parisi measure at zero temperature for the spherical p+s spin glass model. We then
consider the spherical mixed p-spin model and show that for the spherical spin models with
n components,...