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Full-Text Articles in Other Mathematics
Beginner's Analysis Of Financial Stochastic Process Models, David Garcia
Beginner's Analysis Of Financial Stochastic Process Models, David Garcia
HMC Senior Theses
This thesis explores the use of geometric Brownian motion (GBM) as a financial model for predicting stock prices. The model is first introduced and its assumptions and limitations are discussed. Then, it is shown how to simulate GBM in order to predict stock price values. The performance of the GBM model is then evaluated in two different periods of time to determine whether it's accuracy has changed before and after March 23, 2020.
Multilayer Network Model Of Gender Bias And Homophily In Hierarchical Structures, Emerson Mcmullen
Multilayer Network Model Of Gender Bias And Homophily In Hierarchical Structures, Emerson Mcmullen
HMC Senior Theses
Although women have made progress in entering positions in academia and
industry, they are still underrepresented at the highest levels of leadership.
Two factors that may contribute to this leaky pipeline are gender bias,
the tendency to treat individuals differently based on the person’s gender
identity, and homophily, the tendency of people to want to be around those
who are similar to themselves. Here, we present a multilayer network model
of gender representation in professional hierarchies that incorporates these
two factors. This model builds on previous work by Clifton et al. (2019), but
the multilayer network framework allows us to …
Graph Learning On Multi-Modality Medical Data To Generate Clinical Predictions, Justin Jiang
Graph Learning On Multi-Modality Medical Data To Generate Clinical Predictions, Justin Jiang
HMC Senior Theses
There exist petabytes of data pertaining to medical visits – everything from blood pressure recordings, X-rays, and doctor’s notes. Electronic health records (EHRs) organize this data into databases, providing an exciting opportunity for machine learning researchers to dive deeper into analyzing human health. There already exist machine learning models that aim to expedite the process of hospital visits; for example, summary models can digest a patient’s medical history and highlight certain parts of their past that merit attention. The current frontier of medical machine learning is combining the various formats of data to generate a clinical prediction – much like …