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Articles 1 - 3 of 3
Full-Text Articles in Mathematics
Dynamic System Discovery With Recursive Physics-Informed Neural Networks, Jarrod Mau
Dynamic System Discovery With Recursive Physics-Informed Neural Networks, Jarrod Mau
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
This thesis presents a novel method, recursive Physics informed neural network, to learn the right hand side of differential equations. The neural network takes in data, then trains, and then acts as a proxy for the differential equation which can be used for modeling. We show the theoretical superiority of the recursive approach. We also use computer simulations to demonstrate the proved properties.
Defining Areas Of Interest Using Voronoi And Modified Voronoi Tesselations To Analyze Eye-Tracking Data, Joanna D. Coltrin
Defining Areas Of Interest Using Voronoi And Modified Voronoi Tesselations To Analyze Eye-Tracking Data, Joanna D. Coltrin
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
Eye tracking is a technology used to track where someone is looking. Eye-tracking technology is often used to study what people focus on when looking at a photo of another person. The eye-tracking technology records points on a photo that a person is looking at. When the photo being looked at shows a person, the points can be categorized by body part such as head, right hand, left hand, and torso. This thesis presents the use of partially circular areas to define the body parts of the person in the photo and therefore categorize the points collected by the eye-tracker. …
Contributions To Random Forest Variable Importance With Applications In R, Kelvyn K. Bladen
Contributions To Random Forest Variable Importance With Applications In R, Kelvyn K. Bladen
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
A major focus in statistics is building and improving computational algorithms that can use data to predict a response. Two fundamental camps of research arise from such a goal. The first camp is researching ways to get more accurate predictions. Many sophisticated methods, collectively known as machine learning methods, have been developed for this very purpose. One such method that is widely used across industry and many other areas of investigation is called Random Forests.
The second camp of research is that of improving the interpretability of machine learning methods. This is worthy of attention when analysts desire to optimize …