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Full-Text Articles in Physical Sciences and Mathematics
Self-Supervised Learning For Single-Molecule Localization Microscopy, Clare Minnerath
Self-Supervised Learning For Single-Molecule Localization Microscopy, Clare Minnerath
Mathematics & Computer Science Student Scholarship
Major: Mathematics and Computer Science
Faculty Mentor: Dr. Lynette Boos, Mathematics
We evaluate the ability of self-supervised deep learning for Poisson denoising of Single-Molecule Localization Microscopy (SMLM) in addition to the impact denoising can have on the ability to locate molecules within the Single-Molecule Localization Microscopy images. SMLM images are predominantly corrupted with Poisson noise. There is a need for a superior technique to provide accurate SMLM images in order for scientists to gain a better understanding of the functions of live cells at the nanoscale. By denoising SMLM images prior to the images undergoing the current state- of-the-art super-resolution …
Research In Sabermetrics: The Cape Cod Baseball League, Thomas Zinzarella
Research In Sabermetrics: The Cape Cod Baseball League, Thomas Zinzarella
Mathematics & Computer Science Student Scholarship
Major: Sports Media
Faculty Mentor: Fr. Humbert Kilanowski O.P, Mathematics and Computer Science
We analyzed data from the Cape Cod Baseball League, a prestigious summer baseball league, where we looked at sabermetric statistics such as WAR (Wins above replacement). Stats like these can help evaluate a player and project whether they are a future MLB player or not. Especially on the Cape, where 1 in 7 current Major League Baseball players have played in the league.
Simplexity Of The N-Cube, Peter Graziano
Simplexity Of The N-Cube, Peter Graziano
Mathematics & Computer Science Student Scholarship
Major: Mathematics and Classics
Faculty Mentor: Dr. Su-Jeong Kang, Mathematics
The process of dividing shapes into triangles is called triangulation, and it is possible to abstract the idea of a triangle to higher dimensions, where it will be called a simplex in n-dimensions, or an n-simplex. I studied this process of generalized triangulation, or decomposition, in order to find an optimal decomposition of a 5-cube to help improve the bounds on the general case of an n-cube.
Application Of Black-Scholes-Merton Model In Option Pricing And Intangibles Assets, Giang Nguyen-Hoang
Application Of Black-Scholes-Merton Model In Option Pricing And Intangibles Assets, Giang Nguyen-Hoang
Mathematics & Computer Science Student Scholarship
Major: Finance and Mathematics
Faculty Mentor: Dr. Joseph Shomberg, Mathematics
The Black-Scholes model was developed by Fisher Black and Myron Scholes in the 1970s to price stock options. Since then the model has been suited to price so-called intangible assets such as trademarks and patents. In this paper, we investigate the related Black-Scholes-Merton model and the relevant characteristics of patents in order to associate patents as real options. After describing patents as options, we apply the Black-Scholes-Merton model to the valuation of the intangible assets. Special attention is given to modeling volatility and the cost of delay in order to …