Now showing items 1-10 of 23
Hamilton-Jacobi Equations for Sorting and Percolation Problems.
(2014)
In this dissertation we prove continuum limits for some sorting and percolation problems that are important in mathematical, scientific, and engineering contexts. The first problem we study is non-dominated sorting, which ...
Estimating Community Structure in Networks by Spectral Methods.
(2016)
Networks are studied in a wide range of fields, including social psychology, sociology, physics, computer science, probability, and statistics. One of the fundamental problems in network analysis is the problem of estimating ...
Nonholonomic Virtual Constraints and Gait Optimization for Robust Robot Walking Control.
(2016)
Bipedal locomotion is well suited for mobile robotics because it promises to allow robots to traverse difficult terrain and work effectively in man-made environments. Despite this inherent advantage, however, no existing ...
Discrete Ordinates Methods for Transport Problems with Curved Spatial Grids.
(2015)
The method of characteristics (MOC) has been favored for many recent whole core transport codes; some current research codes are: the nTRACER code from Seoul National University, the MPACT code from the University of ...
Symmetry Method for Limit Cycle Walking of Legged Robots.
(2016)
Dynamic steady-state walking or running gaits for legged robots correspond to periodic orbits in the dynamic model. The common method for obtaining such periodic orbits is conducting a numerical search for fixed points of ...
Provably Efficient Reinforcement Learning Under Linear Model Structures: From Tabular to Feature Based Exploration
(2021)
Reinforcement learning (RL) is a machine learning paradigm where an agent learns to interact with an environment in the presence of a reward signal as feedback. Recent breakthroughs have led to a renewed interest in building ...
Optimization of Critical Infrastructure with Fluids
(2021)
Many of the world's most critical infrastructure systems control the motion of fluids. Despite their importance, the design, operation, and restoration of these infrastructures are sometimes carried out suboptimally. One ...
Artificial Intelligence-Based Clinical Decision-Making System for Cataract Surgery
(2022)
Cataracts are a common eye condition characterized by the clouding of the natural crystalline lens that impairs vision. In cataract surgery, the natural lens of the eye is replaced by an intraocular lens (IOL) implant to ...
Cultivation of Enhanced Bioinformatic-Specific Pedagogical Manipulatives, Interventions, and Professional Development
(2022)
The education of bioinformatics, as an interdisciplinary science, can be negatively impacted by 1) incoming students attempting to negotiate complex concepts while lacking the educational scaffolding of the field’s constituent ...
Learning, Inference, and Unmixing of Weak, Structured Signals in Noise
(2020)
In this thesis, we study two methods that can be used to learn, infer, and unmix weak, structured signals in noise: the Dynamic Mode Decomposition algorithm and the sparse Principal Component Analysis problem. Both problems ...