2016 GREAT Day Program

SUNY Geneseo’s Tenth Annual GREAT Day.https://knightscholar.geneseo.edu/program-2007/1010/thumbnail.jp

New algorithms for solving high-dimensional time-dependent optimal control problems and their applications in infectious disease models

Doctor of PhilosophyDepartment of Industrial & Manufacturing Systems EngineeringChih-Hang 'John' WuInfectious diseases have been the primary cause of human death worldwide nowadays. The optimal control strategy for infectious disease has attracted increasing attention, becoming a significant issue in the healthcare domain. Optimal control of diseases can affect the progression of diseases and achieve high-quality healthcare. In previous studies, massive efforts on the optimal control of diseases have been made. However, some infectious diseases' mortality is still high and even developed into the second highest cause of mortality in the US. According to the limitations in existing research, this research aims to study the optimal control strategy via some industrial engineering techniques such as mathematical modeling, optimization algorithm, analysis, and numerical simulation. To better understand the optimal control strategy, two infectious disease models (epidemic disease, sepsis) are studied. Complex nonlinear time-series and high-dimensional infectious disease control models are developed to study the transmission and optimal control of deterministic SEIR or stochastic SIS epidemic diseases. In addition, a stochastic sepsis control model is introduced to study the progression and optimal control for sepsis system considering possible medical measurement errors or system uncertainty. Moreover, an improved complex nonlinear sepsis model is presented to more accurately study the sepsis progression and optimal control for sepsis system. In this dissertation, some analysis methods such as stability analysis, bifurcation analysis, and sensitivity analysis are utilized to help reader better understand the model behavior and the effectiveness of the optimal control. The significant contributions of this dissertation are developing or improving nonlinear complex disease optimal control models and proposing several effective and efficient optimization algorithms to solve the optimal control in those researched disease models, such as an optimization algorithm combining machine learning (EBOC), an improved Bayesian Optimization algorithm (IBO algorithm), a novel high-dimensional Bayesian Optimization algorithm combining dimension reduction and dimension fill-in (DR-DF BO algorithm), and a high-dimensional Bayesian Optimization algorithm combining Recurrent Neural Network (RNN-BO algorithm). Those algorithms can solve the optimal control solution for complex nonlinear time-series and high-dimensional systems. On top of that, numerical simulation is used to demonstrate the effectiveness and efficiency of the proposed algorithms

Facing monstrosity in Goya's Los Caprichos (1799)

The aim of this thesis is to offer a re-evaluation of our cultural assumptions concerning the monstrous in the work of Francisco Jose de Goya y Lucientes (1746- 1828), specifically his collection of etchings Los Caprichos (1799). In my study there are three closely related areas of investigation: the image of the monstrous body in Goya's work; the cultural aspects of monsters and monstrous forms in Western discourses and in the Spanish Enlightenment; and the theoretical encounter between the history of the sciences and deconstructive criticism. The interaction between these three areas provides a background against which to understand the Goyaesque body within the context of Spanish cultural practices. Through an examination of eighteenth-century Spanish reformist absolutism, this thesis explores the contradictions, limits, or insufficiencies of the Spanish Ilustraciön in order to establish the ideological, cultural and artistic context out of which Los Caprichos emerged. One of the central issues that runs through my study is to establish how far, and in what ways, Los Caprichos can be seen as an Enlightenment work. Traditional readings of Los Caprichos have paid very little critical attention to the monstrous human bodies depicted in the collection in the context of eighteenth century discourses on monstrosity and corporeality. Los Caprichos invite a more complex, multifaceted consideration both of the body and the monster, of corporeality and monstrosity. By focusing on the Goyaesque body, the aim of this thesis is to open up a series of questions on the ways in which the monstrous body can be thought of in the critique of culture. This study therefore seeks to provide a cultural history of the monstrous body in the art of Goya, showing how his pictorial representations in the collection of etchings Los Caprichos offer a critique of reason and problematize the perception and treatment of (European and Spanish) Enlightenment configurations of the body. It is my contention that Los Caprichos can be read in Enlightenment ways yet there are elements of an ideological, cultural and artistic nature that problematize such credentials, pointing to the limits and contradictions of the Spanish Enlightenment itself

Facing monstrosity in Goya's Los Caprichos (1799)

The aim of this thesis is to offer a re-evaluation of our cultural assumptions concerning the monstrous in the work of Francisco Jose de Goya y Lucientes (1746- 1828), specifically his collection of etchings Los Caprichos (1799). In my study there are three closely related areas of investigation: the image of the monstrous body in Goya's work; the cultural aspects of monsters and monstrous forms in Western discourses and in the Spanish Enlightenment; and the theoretical encounter between the history of the sciences and deconstructive criticism. The interaction between these three areas provides a background against which to understand the Goyaesque body within the context of Spanish cultural practices. Through an examination of eighteenth-century Spanish reformist absolutism, this thesis explores the contradictions, limits, or insufficiencies of the Spanish Ilustraciön in order to establish the ideological, cultural and artistic context out of which Los Caprichos emerged. One of the central issues that runs through my study is to establish how far, and in what ways, Los Caprichos can be seen as an Enlightenment work. Traditional readings of Los Caprichos have paid very little critical attention to the monstrous human bodies depicted in the collection in the context of eighteenth century discourses on monstrosity and corporeality. Los Caprichos invite a more complex, multifaceted consideration both of the body and the monster, of corporeality and monstrosity. By focusing on the Goyaesque body, the aim of this thesis is to open up a series of questions on the ways in which the monstrous body can be thought of in the critique of culture. This study therefore seeks to provide a cultural history of the monstrous body in the art of Goya, showing how his pictorial representations in the collection of etchings Los Caprichos offer a critique of reason and problematize the perception and treatment of (European and Spanish) Enlightenment configurations of the body. It is my contention that Los Caprichos can be read in Enlightenment ways yet there are elements of an ideological, cultural and artistic nature that problematize such credentials, pointing to the limits and contradictions of the Spanish Enlightenment itself