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Author:

Lloyd, Owen

Title:

Time Alignment of Biological Data: Numerical Modeling and Stochastic Processes

Area of Honors:

Mathematics

Keywords:

stochastic processes
numerical modeling
single-cell RNA sequencing
pseudotime analysis
trajectory inference
Brownian motion

File:

Download Lloyd_Owen_Thesis.pdf

Thesis Supervisors:

Andrew Belmonte, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Piazza, Jack

Title:

A Topological Approach to Selection Rule Stochasticity

Area of Honors:

Mathematics

Keywords:

logic
computability
topology
randomness

File:

Download Piazza_Jack_SelectionTopology.pdf

Thesis Supervisors:

Jan S Reimann, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Song, Zitao

Title:

Predicting Volatility of Stocks Using Time Series Models

Area of Honors:

Mathematics

Keywords:

GARCH
Volatility
Time Series
Stock

File:

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Thesis Supervisors:

Mauricio Fernandes Nascimento, Jr., Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Frishman, Jacob

Title:

Creating a Solver for Nonlinear Differential Equations Using Unsupervised Neural Networks

Area of Honors:

Mathematics

Keywords:

Differential Equations
DNNs
Deep Neural Networks
Machine Learning
ODEs
Neural Networks

File:

Download Frishman_Jacob_Honors_Thesis.pdf

Thesis Supervisors:

Leonid V Berlyand, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor