An Imputation Approach To Developing Alternative Futures Of Country Conflict, 2019 Air Force Institute of Technology

#### An Imputation Approach To Developing Alternative Futures Of Country Conflict, Zachary J. Kane

*Theses and Dissertations*

Understanding what causes countries to be in a state of violent conflict is of vital importance to developing realistic national strategies on both a regional and global scale. Given these causes, it is important to understand the effects of missing data, how to impute that data, and the interrelation between data elements. Utilizing both open source data and previously generated equations that predict a country’s likelihood to transition conflict statuses, this research projects data into the future and predicts each nations’ subsequent conflict statuses. Future data is populated using a novel approach inspired by stochastic regression imputation. The replicated ...

Optimal Conditional Expectation At The Video Poker Game Jacks Or Better, 2019 University of Utah

#### Optimal Conditional Expectation At The Video Poker Game Jacks Or Better, Stewart N. Ethier, John J. Kim, Jiyeon Lee

*UNLV Gaming Research & Review Journal*

There are 134,459 distinct initial hands at the video poker game Jacks or Better, taking suit exchangeability into account. A computer program can determine the optimal strategy (i.e., which cards to hold) for each such hand, but a complete list of these strategies would require a book-length manuscript. Instead, a hand-rank table, which fits on a single page and reproduces the optimal strategy perfectly, was found for Jacks or Better as early as the mid 1990s. Is there a systematic way to derive such a hand-rank table? We show that there is indeed, and it involves finding the ...

Neural Machine Translation, 2019 Loyola Marymount University

#### Neural Machine Translation, Quinn M. Lanners, Thomas Laurent

*Honors Thesis*

Neural Machine Translation is the primary algorithm used in industry to perform machine translation. This state-of-the-art algorithm is an application of deep learning in which massive datasets of translated sentences are used to train a model capable of translating between any two languages. The architecture behind neural machine translation is composed of two recurrent neural networks used together in tandem to create an Encoder Decoder structure. Attention mechanisms have recently been developed to further increase the accuracy of these models. In this senior thesis, the various parts of Neural Machine Translation are explored towards the eventual creation of a tutorial ...

Heterogeneous Boolean Networks With Two Totalistic Rules, 2019 University of Nebraska at Omaha

#### Heterogeneous Boolean Networks With Two Totalistic Rules, Katherine Toh

*Student Research and Creative Activity Fair*

Boolean Networks are being used to analyze models in biology, economics, social sciences, and many other areas. These models simplify the reality by assuming that each element in the network can take on only two possible values, such as ON and OFF. The node evolution is governed by its interaction with other nodes in its neighborhood, which is described mathematically by a Boolean function or rule. For simplicity reasons, many models assume that all nodes follow the same Boolean rule. However, real networks often use more than one Boolean rule and therefore are heterogeneous networks. Heterogeneous networks have not yet ...

Parametric Natura Morta, 2019 Independent researcher, Palermo, Italy

#### Parametric Natura Morta, Maria C. Mannone

*The STEAM Journal*

Parametric equations can also be used to draw fruits, shells, and a cornucopia of a mathematical still life. Simple mathematics allows the creation of a variety of shapes and visual artworks, and it can also constitute a pedagogical tool for students.

Understanding The Ntru Cryptosystem, 2019 The University of Akron

#### Understanding The Ntru Cryptosystem, Benjamin Clark

*Williams Honors College, Honors Research Projects*

In this paper, we will examine the NTRU Public Key Cryptosystem. The NTRU cryptosystem was created by Joseph Silverman, Jeffery Hoffstein, and Jill Pipher in 1996. This system uses truncated polynomial rings to encrypt and decrypt data. It was recently released into the public domain in 2013. This paper will describe how this cryptosystem works and give a basic understanding on how to encrypt and decrypt using this system.

Credit Risk Analysis Using Machine Learning And Neural Networks, 2019 Michigan Technological University

#### Credit Risk Analysis Using Machine Learning And Neural Networks, Dhruv Dhanesh Thanawala

*Dissertations, Master's Theses and Master's Reports*

A key activity within the banking industry is to extend credit to customers, hence,

credit risk analysis is critical for nancial risk management. There are various methods

used to perform credit risk analysis. In this project, we analyze German and

Australian nancial data from UC Irvine Machine Learning repository, reproducing

results previously published in literature. Further, using the same dataset and various

machine learning algorithms, we attempt to create better models by tuning available

parameters, however, our results are at best comparable to published results.

In this report, we have explained the algorithms and mathematical framework that

goes behind developing ...

Model Selection And Experimental Design Of Biological Networks With Algebraic Geometry, 2019 Southern Methodist University

#### Model Selection And Experimental Design Of Biological Networks With Algebraic Geometry, Anyu Zhang

*Mathematics Theses and Dissertations*

Model selection based on experimental data is an essential challenge in biological data science. In decades, the volume of biological data from varied sources, including laboratory experiments, field observations, and patient health records has seen an unprecedented increase. Mainly when collecting data is expensive or time-consuming, as it is often in the case with clinical trials and biomolecular experiments, the problem of selecting information-rich data becomes crucial for creating relevant models.

Motivated by certain geometric relationships between data, we partitioned input data sets, especially data sets that correspond to a unique basis, into equivalence classes with the same basis to ...

Determination Of Optimal Parameter Estimates For Medical Interventions In Human Metabolism And Inflammation, 2019 Virginia Commonwealth University

#### Determination Of Optimal Parameter Estimates For Medical Interventions In Human Metabolism And Inflammation, Marcella Torres

*Theses and Dissertations*

In this work we have developed three ordinary differential equation models of biological systems: body mass change in response to exercise, immune system response to a general inflammatory stimulus, and the immune system response in atherosclerosis. The purpose of developing such computational tools is to test hypotheses about the underlying biological processes that drive system outcomes as well as possible real medical interventions. Therefore, we focus our analysis on understanding key interactions between model parameters and outcomes to deepen our understanding of these complex processes as a means to developing effective treatments in obesity, sarcopenia, and inflammatory diseases.

We develop ...

Numerical Simulations For Optimal Control Of A Cancer Cell Model With Delay, 2019 Murray State University

#### Numerical Simulations For Optimal Control Of A Cancer Cell Model With Delay, Jessica S. Lugo

*Murray State Theses and Dissertations*

Mathematical models are often created to analyze the complicated behavior of many physical systems. One such system is that of the interaction between cancer cells, the immune system, and various treatments such as chemotherapy, radiation, and immunotherapy. Using models that depict these relationships gives researchers insight on the dynamics of this complicated system and possibly ideas for improved treatment schedules.

The model presented here gives the relationship of cancer cells in development phases with immune cells and cycle-specific chemotherapy treatment. This model includes a constant delay term in the mitotic phase. Optimal control theory is used to minimize the cost ...

An Overview Of Computational Mathematical Physics: A Deep Dive On Gauge Theories, 2019 Claremont Colleges

#### An Overview Of Computational Mathematical Physics: A Deep Dive On Gauge Theories, Andre Simoneau

*CMC Senior Theses*

Over the course of a college mathematics degree, students are inevitably exposed to elementary physics. The derivation of the equations of motion are the classic examples of applications of derivatives and integrals. These equations of motion are easy to understand, however they can be expressed in other ways that students aren't often exposed to. Using the Lagrangian and the Hamiltonian, we can capture the same governing dynamics of Newtonian mechanics with equations that emphasize physical quantities other than position, velocity, and acceleration like Newton's equations do. Building o of these alternate interpretations of mechanics and understanding gauge transformations ...

Stair Climbing Hand Truck, 2019 Central Washington University

#### Stair Climbing Hand Truck, James Mcpherson

*All Undergraduate Projects*

Abstract

Getting a heavy object up a flight of stairs usually requires a team of two or more people. Even with a team of people, the task is often still difficult, dangerous, and possibly insurmountable by one person. This problem is especially prevalent in for those who are moving into apartment complexes. Most apartment complexes have many buildings with two or more floors of living quarters, and elevators are often missing. This project sought to offer a solution to this problem. The solution in question; a motorized hand-truck with 2, trigonal planar pinwheels in place of the stock wheels. The ...

Long-Run Average Cost Minimization Of A Stochastic Processing System, 2019 Iowa State University

#### Long-Run Average Cost Minimization Of A Stochastic Processing System, Bowen Xie

*Creative Components*

A long-run average cost problem in stochastic control theory is addressed. This problem is related to the optimal control of a production-inventory system which is subjected to random fluctuation. The approach taken here is based on finding a smooth solution to the corresponding Hamilton-Jacobi-Bellman equation. This solution in turn is used to derive an optimal process for the above long-run average cost problem. Using the invariant distributions for positive recurrent diffusion processes, another derivation for the optimal long-run average cost is provided here.

Time And Finance: Exploring Variance In The Black-Scholes Model, 2019 Bard College

#### Time And Finance: Exploring Variance In The Black-Scholes Model, Edward Chase Skorupa

*Senior Projects Spring 2019*

In their 1973 paper, The Pricing of Options and Corporate Liabilities, Fischer Black and Myron Scholes published mathematical methods they had devised with the goal of accurately pricing European options. When using the model to predict future options prices, all input variables in the model can be empirically viewed, and calculated, at present time except for the future volatility of the underlying security. Retrospectively analyzing the volatility implied by the Black-Scholes model using price history shows that this implied volatility is an inaccurate estimate of actual future volatility. This project sought to explore the relationship between the implied future volatility ...

Gerrymandering And The Impossibility Of Fair Districting Systems, 2018 Bard College

#### Gerrymandering And The Impossibility Of Fair Districting Systems, Danielle Degutz

*Senior Projects Spring 2019*

Voting district boundaries are often manipulated, or gerrymandered, by politicians in order to give one group of voters an unfair advantage over another during elections. To make sure a system of voting districts is not gerrymandered, the population size, the shape, and the voting efficiency of each party in each district should be taken into consideration. Following recent work of Boris Alexeev and Dustin G. Mixon, we discuss mathematical criteria for each of these three aspects, and we prove how problems arise when attempting to apply all three at once to a districting system--first to a simplified districting system and ...

Call For Abstracts - Resrb 2019, July 8-9, Wrocław, Poland, 2018 Wojciech Budzianowski Consulting Services

#### Call For Abstracts - Resrb 2019, July 8-9, Wrocław, Poland, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Iterated Belief Revision Under Resource Constraints: Logic As Geometry, 2018 University of Pennsylvania

#### Iterated Belief Revision Under Resource Constraints: Logic As Geometry, Dan P. Guralnik, Daniel E. Koditschek

*Departmental Papers (ESE)*

We propose a variant of iterated belief revision designed for settings with limited computational resources, such as mobile autonomous robots.

The proposed memory architecture---called the *universal memory architecture* (UMA)---maintains an epistemic state in the form of a system of default rules similar to those studied by Pearl and by Goldszmidt and Pearl (systems *Z* and *Z*^{+}). A duality between the category of UMA representations and the category of the corresponding model spaces, extending the Sageev-Roller duality between discrete poc sets and discrete median algebras provides a two-way dictionary from inference to geometry, leading to immense savings in computation, at ...

Markov Chains And Generalized Wavelet Multiresolutions, 2018 Southern Illinois University Edwardsville

#### Markov Chains And Generalized Wavelet Multiresolutions, Myung-Sin Song, Palle Jorgensen

*SIUE Faculty Research, Scholarship, and Creative Activity*

We develop some new results for a general class of transfer operators, as they are used in a construction of multi-resolutions. We then proceed to give explicit and concrete applications. We further discuss the need for such a constructive harmonic analysis/dynamical systems approach to fractals.

Semi-Tensor Product Representations Of Boolean Networks, 2018 Illinois State University

#### Semi-Tensor Product Representations Of Boolean Networks, Matthew Macauley

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Using Canalization For The Control Of Discrete Networks, 2018 University of Kentucky

#### Using Canalization For The Control Of Discrete Networks, David Murrugarra

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.