Digital Commons Network^™

Experimental Implementation Of Wavefront Sensorless Real-Time Adaptive Optics Aberration Correction Control Loop With A Neural Network, Minhzao Liu, David N. Lopez, Gabriel C. Spalding

Scholarship

Recently, deep neural network (DNN) based adaptive optics systems were proposed to address the issue of latency in existing wavefront sensorless (WFS-less) aberration correction techniques. Intensity images alone are sufficient for the DNN model to compute the necessary wavefront correction, removing the need for iterative processes and allowing practical real-time aberration correction to be implemented. Specifically, we generate the desired aberration correction phase profiles utilizing a DNN based system that outputs a set of coefficients for 27 terms of Zernike polynomials. We present an experimental realization of this technique using a spatial light modulator (SLM) on real physical turbulence-induced aberration. …

Text Anomaly Detection With Arae-Anogan, Tec Yan Yap

Honors Projects

Generative adversarial networks (GANs) are now one of the key techniques for detecting anomalies in images, yielding remarkable results. Applying similar methods to discrete structures, such as text sequences, is still largely an unknown. In this work, we introduce a new GAN-based text anomaly detection method, called ARAE-AnoGAN, that trains an adversarially regularized autoencoder (ARAE) to reconstruct normal sentences and detects anomalies via a combined anomaly score based on the building blocks of ARAE. Finally, we present experimental results demonstrating the effectiveness of ARAE-AnoGAN and other deep learning methods in text anomaly detection.

Decompositions Of Complete Uniform Multipartite Hypergraphs, Patrick Ward

Honors Projects

In recent years, researchers have studied the existence of complete uniform hypergraphs into small-order hypergraphs. In particular, results on small 3-uniform graphs including loose 3, 4, and 5 cycles have been studied, as well as 4-uniform loose cycles of length 3. As part of these studies, decompositions of multipartite hypergraphs were constructed. In this paper, we extend this work to higher uniformity and order as well as expand the class of hypergraphs.

Rebecca Roesner And Advancing Diversity In The Chemical Sciences, Ryan Denham

Interviews for WGLT

Rebecca Roesner, chair and professor of chemistry at Illinois Wesleyan University, has earned the Stanley C. Israel Regional Award for Advancing Diversity in the Chemical Sciences for her work furthering diversity and inclusivity. Professor Roesner spoke about the award, and her part in helping to promote diversity in the sciences with Ryan Denham from WGLT Radio.

Terahertz Absorption Spectra Of Silicate Cosmic Analog Dusts Using A Novel Spectrometer, Binh Phan

Honors Projects

Metal-containing amorphous silicate grains are expected to be a major component of interstellar dust. Amorphous silicate grains containing magnesium, iron, and calcium have been synthesized in the IWU chemistry department. I have contributed to the construction and testing of an instrument that will be used to measure terahertz absorption spectra of cold samples at astronomically interesting temperatures.

To study cosmic dust analogs, we installed dust samples, embedded in low-density polyethylene (LDPE) pellets, in a sample-exchanger and cooled it down within a cryostat to 3.0 Kelvin. Using a blackbody radiation source, we measured the transmission of terahertz light through those samples …

Manori Perera And Problems For Automobiles During Sub-Zero Temperatures, Eric Stock

Interviews for WGLT

Eric Stock,WGLT Radio, spoke to Professor of Chemistry Manori Perera about the hazards that sub-zero temperatures create for automobiles.

The Value Of Green Certification On Single-Family Houses In The Chicagoland Area, Raymond Bolton

Honors Projects

In the United States, residential buildings alone account for 33% of energy consumption. Rising concerns about environmental impacts due to human consumption, as well as health concerns related to pollution have caused a higher demand for environmentally conscious houses. Homebuilders have responded by providing green certifications for houses, attesting to a building’s efficiency in various aspects, such as site design and energy and water consumption. Using Multiple Listing Services real estate data on zero- to five-year-old houses sold between 2010 and 2017 in the Chicagoland area, this study examines whether there is a price premium associated with qualifying for green …

Encoding Lexicographical Ordering Constraints In Sat, Wenting Zhao

Honors Projects

Symmetry occurs in many constraint satisfaction problems, and it is important to deal with it efficiently and effectively, as it often leads to an exponential number of isomorphic assignments. Symmetric rows and columns in matrices are an important class of symmetries in constraint programming. In this work, we develop a new SAT encoding for partial lexicographical ordering constraints to break symmetries in such places. We also survey all the previous complete lex-leader encodings in literature and translate them into SAT encodings. We perform experimental analysis on how these lex-leader constraints impact the solving of Balanced Incomplete Block Design (BIBD) instances. …

New Implementations For Tabulating Pseudoprimes And Liars, Wuyang Liu

Honors Projects

Whether it is applied to primality test or cryptography, pseudoprimes are one of the most important topics in number theory. Regarding the study of strong pseudoprimes, there are two problems which mathematicians have been working on:
1. Given a, b, find all a-spsp up to b.
2. Given an odd composite n, find all a -n such that n is an a-spsp.
where n = a-spsp means n is a strong pseudoprime to base a, and a is a strong liar of n.

The two problems are respectively referred to as …

Studies In Mesoscopics And Quantum Microscopies, Zhenghao Ding, Gabriel C. Spalding

Honors Projects

This thesis begins with a foundational section on quantum optics. The single-photon detectors used in the first chapter were obtained through the Advanced Laboratory Physics Association (ALPhA), which brokered reduced cost for educational use, and the aim of the single-photon work presented in Chapter 1 is to develop modules for use in Illinois Wesleyan's instructional labs beyond the first year of university. Along with the American Association of Physics Teachers, ALPhA encourages capstone-level work, such as Chapter 1 of this honors thesis, which is explicitly designed to play the role of passing on, to a next generation of physics majors, …

Rebecca Roesner, 2017 Dougan Award Presentation, Brian Brennan, Iwu Chapter Of The Aaup, Illinois Wesleyan University

Dougan Award Winners

No abstract provided.

Tabulating Pseudoprimes And Tabulating Liars, Andrew Shallue

Scholarship

This paper explores the asymptotic complexity of two problems related to the Miller-Rabin-Selfridge primality test. The first problem is to tabulate strong pseudoprimes to a single fixed base $a$. It is now proven that tabulating up to $x$ requires $O(x)$ arithmetic operations and $O(x\log{x})$ bits of space.The second problem is to find all strong liars and witnesses, given a fixed odd composite $n$.This appears to be unstudied, and a randomized algorithm is presented that requires an expected $O((\log{n})^2 + |S(n)|)$ operations (here $S(n)$ is the set of strong liars).Although interesting in their own right, a notable application is the search …

Construction Of Nonlinear Expression For Recursive Number Sequences, Tian-Xiao He

Scholarship

A type of nonlinear expressions of Lucas sequences are established inspired by Hsu [9]. Using the relationships between the Lucas sequence and other linear recurring sequences satisfying the same recurrence relation of order 2, we may transfer the identities of Lucas sequences to the latter.

A Computational Study Of Icart's Function, Thomas Simmons

Honors Projects

A hash function maps some elements of a larger, initial set to elements of a smaller, resultant set. By nature, this leads to collisions and, sometimes, not all elements in the smaller set will be mapped to as a result. The set in consideration here is all points on an elliptic curve. This is a special class of curve with two variables, which takes the form here as y² = x³ + ax + b. A hash function is useful in offering a deterministic way to map an input to a pair of x and y values …

Construction Of Spline Type Orthogonal Scaling Functions And Wavelets, Tung Nguyen

Honors Projects

In this paper, we present a method to construct orthogonal spline-type scaling functions by using B-spline functions. B-splines have many useful properties such as compactly supported and refinable properties. However, except for the case of order one, B-splines of order greater than one are not orthogonal. To induce the orthogonality while keeping the above properties of B-splines, we multiply a class of polynomial function factors to the masks of the B-splines so that they become the masks of a spline-type orthogonal compactly-supported and refinable scaling functions in L₂. In this paper we establish the existence of this class …

Synthesis And Screen Of A Proline-Rich Combinatorial Library Towards The Identification Of Sickle Cell Hemoglobin Polymerization Inhibitors, Laura Steenberge

Honors Projects

Sickle cell disease is a genetic disorder that affects the hemoglobin within red blood cells. A point mutation in the gene coding for the β-subunit of hemoglobin allows the mutant chain to interact with a hydrophobic pocket of another hemoglobin in a deoxygenated environment, causing polymerization of the proteins. This creates the characteristic sickle-shape of the diseased blood cells that can clog capillaries, leading to tissue damage and cell death. Currently, there are limited options for those affected with sickle cell disease. The research to be presented is focused on discovering peptides that can interact with the mutated hemoglobin and …

Two Rosa-Type Labelings Of Uniform K-Distant Trees And A New Class Of Trees, Kimberly Wenger Diller

Honors Projects

A k-distant tree consists of a main path, called the spine, such that each vertex on the spine is joined by an edge to an end-vertex of at most one path on at most k vertices. Those paths, along with the edge joining them to the spine, are called tails. When every vertex on the spine has exactly one incident tail of length k we call the tree a uniform k-distant tree. We show that every uniform k-distant tree admits both a graceful- and an α-labeling.

For a graph G and a positive integer …

The Pascal Matrix Function And Its Applications To Bernoulli Numbers And Bernoulli Polynomials And Euler Numbers And Euler Polynomials, Tian-Xiao He, Jeff Liao, Peter Shiue

Scholarship

A Pascal matrix function is introduced by Call and Velleman in [3]. In this paper, we will use the function to give a unied approach in the study of Bernoulli numbers and Bernoulli polynomials. Many well-known and new properties of the Bernoulli numbers and polynomials can be established by using the Pascal matrix function. The approach is also applied to the study of Euler numbers and Euler polynomials.

Composite Dilation Wavelets With High Degrees, Tian-Xiao He

Scholarship

No abstract provided.

Asymptotic Expansions And Computation Of Generalized Stirling Numbers And Generalized Stirling Functions, Tian-Xiao He

Scholarship

Here presented is a unified approach to Stirling numbers and their generalizations as well as generalized Stirling functions by using generalized factorial functions, k-Gamma functions, and generalized divided difference. Previous well-known extensions of Stirling numbers due to Riordan, Carlitz, Howard, Charalambides-Koutras, Gould-Hopper, Hsu-Shiue, Tsylova Todorov, Ahuja-Enneking, and Stirling functions introduced by Butzer and Hauss, Butzer, Kilbas, and Trujilloet and others are included as particular cases of our generalization. Some basic properties related to our general pattern such as their recursive relations and generating functions are discussed. Some asymptotic expansions for the generalized Stirling functions and generalized Stirling numbers are established. …

Deharak Receives Nsf Grant For Research On Electron Scattering, Kim Hill

News and Events

No abstract provided.

Hoijer '15 Studies Correlations Between Mathematics And Music, Danielle Kamp

News and Events

No abstract provided.

Simmons' Research Aims To Improve Function For Online Security, Danielle Kamp

News and Events

No abstract provided.

Computer Science Major Interns At Google, Danielle Kamp

News and Events

No abstract provided.

Roesner To Receive National Teaching Award, Kim Hill

News and Events

No abstract provided.

Dougan Award's Sponsor Named Recipient, Kim Hill

News and Events

No abstract provided.

Dao Selected For Economics Research Fellowship, Hannah Dhue

News and Events

No abstract provided.

The Art And Science Of Living In The Present (Text And Video), Rebecca Roesner

Honorees for Teaching Excellence

No abstract provided.

Physics Student Named Goldwater Scholar, Matt Kurz

News and Events

No abstract provided.

Chemistry Students Named Collegiate Scholars, Tia Patsavas

News and Events

No abstract provided.