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A Dynamic Approach to Optimizing Interventions and Mitigating Contagion Impacts in Financial Networks
Title
A Dynamic Approach to Optimizing Interventions and Mitigating Contagion Impacts in Financial Networks
Author
Farthing, Christopher
Date Created
2021
Subjects--Topical
Mathematics, Finance, Economics
Description
While modern financial networks are so large, complex, and dynamic that the interactions between their members are impossible to model in their entirety, mathematical models with some simplifying assumptions allow for effective study of network dy...
Distance Based Linear Regression Model And Its Application To Microbiome Association Studies
Title
Distance Based Linear Regression Model And Its Application To Microbiome Association Studies
Author
Sheikhi Kiasari, Masoumeh
Date Created
2021
Subjects--Topical
Mathematics, Statistics
Description
In the past few decades, pairwise distance based statistical methods have beendeveloped to identify spatial and/or temporal clusters of disease, study the association between the dissimilarity of ecological communities and distance in geographical...
Improved Bounds on a Combinatorial Problem
Title
Improved Bounds on a Combinatorial Problem
Author
Page, Jacob
Date Created
2021
Subjects--Topical
Mathematics
Description
In this paper, we will define a function $H:\N \rightarrow \N$, whose output is the size of an optimized hypergraph based upon the restraints given by its input values. This function is known to be well-defined, however its values are unknown for ...
Multivariate Functional Predictor Selection
Title
Multivariate Functional Predictor Selection
Author
Mahzarnia, Ali
Date Created
2021
Subjects--Topical
Mathematics, Statistics
Description
We propose methods for functional predictor selection and the estimation of smooth functional coefficients simultaneously in a scalar-on-function regression problem under a high-dimensional multivariate functional data setting. In particular, we d...
Numerical models of COVID-19
Title
Numerical models of COVID-19
Author
Cung, Benjamin
Date Created
2021
Subjects--Topical
Mathematics
Description
COVID-19 is an ongoing infectious disease where individuals progress through the following four stages: susceptible (S), exposed (E), infected (I), and recovered (R). The standard mathematical model for the spread of such diseases through a large ...