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,...
Economic growth in contexts of state weakness presents a puzzle. If the state’s provision of property rights is necessary for financial investment and related pro-growth behaviors, then why do we observe private investment and commercial transactions in settings where state institutions are far from reliable property guarantors? This study addresses...
Water vapor condenses into liquid water when it encounters a cold surface. If the surface temperature is sufficiently low, freezing follows the condensation step, and the process is holistically referred to as condensation frosting. Both phase change processes are fundamental to many industries ranging from water harvesting, thermal management, solar...
Directed energy deposition (DED) has pushed the frontiers of manufacturability by enabling the creation of multi-material, functionally graded components, the repair or modification of existing components, and the addition of wear resistant coatings. This additive manufacturing method creates a 3D object by depositing powder directly into a small molten pool...
As social media are intricately woven into the fabric of everyday life, people are increasingly expressing their emotions, feelings, and thoughts on these platforms. Particularly, social media have become an outlet for sharing negative emotions and stressful experiences. This dissertation examines factors that influence how and why people share negative...
Recent advances in high-performance computing have resulted in massive databases of materials properties calculated with techniques such as ab initio density functional theory. In fact, some of the largest of such databases have calculations of nearly all distinct, ordered, experimentally-reported compounds. This thesis discusses the application of data in one...
Selective attention enables people to focus on a small number of objects, features, or events with good resolution. Sometimes attention may also be less selective and distributed across numerous items, which allows more information to be processed at a lower resolution. The degree to which attention is more or less...
Polymers occupied nearly every facet of our daily lives, and enhancing their mechanical and fracture properties has long been an important topic in the field of polymer science. Based on the various need in applications, polymers are designed to have a range of characteristics such as tackiness, optical properties, mechanical...
The dissertation builds on my current research to demonstrate the connection between affect and learning through machine learning and qualitative analysis of interactions where players use a complex systems game. The project is threefold: First, I developed a thinking and learning intervention, the agent-based modeling simulation Ant Adaptation. I showed...
Central nervous system (CNS) regeneration is one of the most challenging regenerative medicine targets in mammals due to the natural inhibitory mechanisms that occur in response to injury. In the case of spinal cord injury (SCI), the initial inflammatory response protects damaged tissue, but over time creates a hostile microenvironment...
Abstract This dissertation aims to understand how the domestic high courts in Latin America rely on the jurisprudence of the Inter-American Court of Human Rights. The “relationship between courts” is a phenomenon that happens in domestic and international politics when domestic high courts start to resist or follow international jurisprudence....
Transition Metal Dichalcogenides (TDMCs) are one of many families of two-dimensional (2D) beyond graphene, that started to gain more attention due to the need for miniaturization and their unique electrical, mechanical, and optical properties. Some members of TMDCs, such as MoS2, has direct band gap in its monolayer form, making...
The reprogramming of somatic cells to a spontaneously contracting cardiomyocyte-like state using defined transcription factors has proven successful in mouse fibroblasts. However, this process has been less successful in human cells, thus limiting the potential clinical applicability of this technology in regenerative medicine. We hypothesized that this issue is due...