Now showing items 61-70 of 75
A Study of Edge Toric Ideals using Associated Graphs
This thesis studies properties of edge toric ideals and resolutions by analyzing the associated graphs of algebraic structures. It mainly focused on proving that the repeated edges in a graph wouldn't change some properties ...
Carbon Sequestration in Canada's Boreal Forests
Efficient Partition Function Estimation in Computational Protein Design: Probabalistic Guarantees and Characterization of a Novel Algorithm
By computational protein design we mean the use of computer algorithms to design new proteins or redesign existing ones. A significant challenge in this field involves computing the partition function of the ensemble of ...
Evolutionary Dynamics in an Individual Spatial and a Mean Field Differential Equation Host-Pathogen Model
We examine a host-pathogen model in which three types of species exist: empty sites, healthy hosts, and infected hosts. In this model six different transitions can occur: empty sites can be colonized by healthy hosts, healthy ...
Complex-Balanced Steady States of Chemical Reaction Networks that Contain an Eulerian Cycle
This work pertains to chemical reaction networks and their equilibria, called steady-states. Our main result states that for a cyclic chemical reaction net- work, there is a straightforward characterization for when a ...
Pricing Financial Derivatives with Multi-Task Learning
This paper reviews machine learning methods on forecasting financial data. Although many authors such as (Hutchinson et. al) has explored this topic intensely, their methods ignore possible interrelations amongst different ...
Modeling Basketball Games as Alternating Renewal-Reward Processes and Predicting Match Outcomes
We fit an Alternating Renewal-Reward Process model to basketball games and use the models to predict the outcomes of 1209 games in the 2012-2013 National Basketball Association (NBA) season. Using data collected from NBC ...
Strategy and Effectiveness: An Analysis of Preferential Ballot Voting Methods
To provide insight on various voting systems, we study six election methods using three categories of analysis. First, we prove and discuss the various fundamental election properties satisfied by each method. Since the ...
Coalescing random walks on n-block Markov chains
Fix a discrete-time Markov chain $(V,P)$ with finite state space $V$ and transition matrix $P$. Let $(V_n,P_n)$ be the Markov chain on n-blocks induced by $(V,P)$, which we call the n-block process associated with the base ...
Augmentation Rank of Satellites with Braid Pattern
Given a knot $K$ in $S^3$, a question raised by Cappell and Shaneson asks if the meridional rank of $K$ equals the bridge number of $K$. Using augmentations in knot contact homology we consider the persistence of equality ...