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Full-Text Articles in Physical Sciences and Mathematics

Data-Driven Reachability Of Non-Linear Systems Via Optimization Of Chen-Fliess Series, Ivan Perez Avellaneda Jan 2023

Data-Driven Reachability Of Non-Linear Systems Via Optimization Of Chen-Fliess Series, Ivan Perez Avellaneda

Graduate College Dissertations and Theses

A reachable set is the set of all possible states produced by applying a set of inputs, initial states, and parameters. The fundamental problem of reachability is checking if a set of states is reached provided a set of inputs, initial states, and parameters, typically, in a finite time. In the engineering field, reachability analysis is used to test the guarantees of the operation’s safety of a system. In the present work, the reachability analysis of nonlinear control affine systems is studied by means of the Chen-Fliess series. Different perspectives for addressing the reachability problem, such as interval arithmetic, mixed-monotonicity, …


Pymoocfd - A Multi-Objective Optimization Framework For Cfd, George Martin Cunningham Love Jan 2022

Pymoocfd - A Multi-Objective Optimization Framework For Cfd, George Martin Cunningham Love

Graduate College Dissertations and Theses

Modern computational resource have solidified the use of computer modeling as an integral part of the engineering design process. This is particularly impressive when it comes to high-dimensional models such as computational fluid dynamics (CFD) models. CFD models are now capable of producing results with a level of confidence that would previously have required physical experimentation. Simultaneously, the development of machine learning techniques and algorithms has increased exponentially in recent years. This acceleration is also due to the widespread availability of modern computational resources. Thus far, the cross-over between these fields has been mostly focused on computer models with low …


Co-Optimization Of A Robot's Body And Brain Via Evolution And Reinforcement Learning, Jack Felag Jan 2020

Co-Optimization Of A Robot's Body And Brain Via Evolution And Reinforcement Learning, Jack Felag

Graduate College Dissertations and Theses

Agents are often trained to perform a task via optimization algorithms. One class of algorithms used is evolution, which is ``survival of the fitness'' used to pick the best agents for the objective, and slowly changing the best over time to find a good solution. Evolution, or evolutionary algorithms, have been commonly used to automatically select for a better body of the agent, which can outperform hand-designed models. Another class of algorithms used is reinforcement learning. Through this strategy, agents learn from prior experiences in order to maximize some reward. Generally, this reward is how close the objective is to …


Some Results On A Class Of Functional Optimization Problems, David Rushing Dewhurst Jan 2018

Some Results On A Class Of Functional Optimization Problems, David Rushing Dewhurst

Graduate College Dissertations and Theses

We first describe a general class of optimization problems that describe many natu- ral, economic, and statistical phenomena. After noting the existence of a conserved quantity in a transformed coordinate system, we outline several instances of these problems in statistical physics, facility allocation, and machine learning. A dynamic description and statement of a partial inverse problem follow. When attempting to optimize the state of a system governed by the generalized equipartitioning princi- ple, it is vital to understand the nature of the governing probability distribution. We show that optimiziation for the incorrect probability distribution can have catas- trophic results, e.g., …


The Supply Chain Of Fair Trade Coffee: Challenges, Opportunities & The Future Inside A Troubled Industry, Katharine D. Lukas Jan 2015

The Supply Chain Of Fair Trade Coffee: Challenges, Opportunities & The Future Inside A Troubled Industry, Katharine D. Lukas

Graduate College Dissertations and Theses

What started as a grassroots effort to aid tradespeople in developing nations, Fair Trade and similar certification models have, over the last sixty years, successfully established themselves as a viable alternative to conventional international trade; the ongoing growth of their market share and volume emphasize the increasing market demand for these alternatives. For coffee, Fair Trade's oldest and most established commodity, over two billion pounds was sold as certified in 2012 alone and the percentage of certified coffee continues to grow in share each year (Volcafe, 2012, Fair Trade USA 2012). As Fair Trade continues to grow, so does the …