Physical Sciences and Mathematics Commons^™

Econometric Models Of Probabilistic Choice: Beyond Mcfadden's Formulas, Olga Kosheleva, Vladik Kreinovich, Songsak Sriboonchitta

Departmental Technical Reports (CS)

Traditional decision theory assumes that for every two alternatives, people always make the same (deterministic) choice. In practice, people's choices are often probabilistic, especially for similar alternatives: the same decision maker can sometimes select one of them and sometimes the other one. In many practical situations, an adequate description of this probabilistic choice can be provided by a logit model proposed by 2001 Nobelist D. McFadden. In this model, the probability of selecting an alternative a is proportional to exp(β * u(a)), where u(a) is the alternative's utility. Recently, however, empirical evidence appeared that shows that in some situations, we …

Report On The Roundtable At The Computing Alliance For Hispanic-Serving Institutions (Cahsi) Summit, San Juan, Puerto Rico, September 12, 2015, Ann Q. Gates, Claudia Casas, Andrea Tirres

Departmental Technical Reports (CS)

No abstract provided.

Recursive Non-Local Means Filter For Video Denoising With Poisson-Gaussian Noise, Redha A. Almahdi, Russell C. Hardie

Electrical and Computer Engineering Faculty Publications

In this paper, we describe a new recursive Non-Local means (RNLM) algorithm for video denoising that has been developed by the current authors. Furthermore, we extend this work by incorporating a Poisson-Gaussian noise model. Our new RNLM method provides a computationally efficient means for video denoising, and yields improved performance compared with the single frame NLM and BM3D benchmarks methods. Non-Local means (NLM) based methods of denoising have been applied successfully in various image and video sequence denoising applications. However, direct extension of this method from 2D to 3D for video processing can be computationally demanding. The RNLM approach takes …

Devonian Hydrocarbon Production In South Central Kentucky: A Gis Study, Andrew David Reeder

Masters Theses & Specialist Projects

Historically, Devonian Corniferous hydrocarbon production in south-central Kentucky has been a major contributor to the total hydrocarbon resources within Butler, Edmonson, and Warren counties. The Corniferous adds to the already large hydrocarbon totals produced from the Illinois Basin; however, this hydrocarbon contribution does not come without major pitfalls and inconsistencies. The south-central Kentucky Devonian Corniferous rocks comprise a diverse and complex hydrocarbon system made up of multiple migration pathways, trapping mechanisms, and seals. The multiple Corniferous units all derive production from the same source rock: the New Albany Shale.

A Geographic Information System (GIS) containing data on surface elevations, structure …

Linking In-Situ Data With Remote Sensing To Analyze Tropical Glacier Stability And Retreat In The Cordillera Blanca, Peru, Chandler H. Santos

Masters Theses & Specialist Projects

Glaciers are a major source of freshwater around the world, but they are melting at an increased rate due to atmospheric warming resulting from anthropogenic climate change. In addition to temperature increases, light-absorbing particulates on glaciers also are contributing to glacial melt. This research examines how black carbon, released into the air through partial combustion of biofuels, is affecting the surface albedo of glaciers. I also delineate possible sources of black carbon in the Cordillera Blanca region of Peru. Ground data were collected each year from 2011 to 2013 during the local dry season. Effective black carbon (eBC) values were …

Karst Landscape Influence On The Planetary Boundary Layer Atmosphere, Zachary S. Sullivan

Masters Theses & Specialist Projects

Karst landscapes cover approximately 20% of the ice-free land area worldwide. The soluble nature of the bedrock within a karst landscape allows for the formation of caverns, joints, fissures, sinkholes, and underground streams, which affect the hydrological behavior of the region. Currently, the Noah Land-Surface Model (Noah- LSM), coupled with the Weather Research and Forecasting (WRF) model, does not provide a representation of the physical behavior of a karst terrain. Previous research has attempted to model karst behavior through soil moisture and land cover/land use changes to determine the influence this unique landscape may have on atmospheric phenomenon. This highlights …

Department History, University Of Mississippi. Department Of Mathematics

Faculty and Student Publications

The Department of Mathematics has been a part of the University of Mississippi since the university opened its doors in 1848. Its graduates have gone on to successful careers in a variety of industries, and several of its faculty have become University administrators, including Chancellor.

Consequences Of The Angular Spectrum Decomposition Of A Focused Beam, Including Slower Than C Beam Propagation, Gérard Gouesbet, James A. Lock

Physics Faculty Publications

When dealing with light scattering and propagation of an electromagnetic beam, there are essentially two kinds of expansions which have been used to describe the incident beam (i) a discrete expansion involving beam shape coefficients and (ii) a continuous expansion in terms of an angular spectrum of plane waves. In this paper, we demonstrate that the angular spectrum decomposition readily leads to two important consequences, (i) laser light beams travel in free space with an effective velocity that is smaller than the speed of light c, and (ii) the optical theorem does not hold for arbitrary shaped beams, both …

Ua66 Ogden College Of Science & Engineering Newsletter, Cheryl Stevens, Dean

Ogden College of Science & Engineering Publications

No abstract provided.

The Problems Of Contemporariness And Voice: Review Of Literacy & Mathematics: A Contemporary Approach To Quantitative Literacy By Jay P. Abramson And Matthew A. Isom (2005), Gizem Karaali

Pomona Faculty Publications and Research

The book under review covers the traditional content of a typical mathematical literacy text. After a brief overview of the book contents, the review then focuses on two specific challenges that QL textbooks have to meet: the timeliness of the contexts used and the subjective author voice that inevitably colors any contextualized discussion. Both issues noticeably arise in the text reviewed. Nonetheless instructors may find it a helpful resource.

Geometric Symmetries Partially Explain Why Some Paleolithic Signs Are More Frequent, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

A recent analysis of Paleolithic signs have described which signs are more frequent and which are less frequent. In this paper, we show that this relative frequency can be (at least partially) explained by the symmetries of the signs: in general, the more symmetries, the more frequent the sign.

Multiplexed Detection Of Double-Stranded Pathogenic Dna With Engineered Zinc Finger Proteins, Juhwa Kim

Masters Theses & Specialist Projects

The development of a new technology for the detection of doublestranded (ds) DNA enables multiple biomedical applications including identifying multiple pathogens simultaneously. We previously employed colorimetric SEquence-Enabled Reassembly with TEM-1 β-lacatamase (SEER-LAC) to detect specific bacterial DNA sequence. SEER-Lac consists of the two inactive β-lactamase fragments which of each attached to a zinc finger protein (ZFP) would reassemble into an active full-length enzyme upon ZFPs binding to its target DNA. Here, we engineered two pairs of ZFPs which of each recognizes shiga toxin in E. coli O157 and staphylococcal enterotoxin B in Staphylococus Aureus, respectively. Biotin was simply conjugated to …

Nullification Of Torus Knots And Links, Zachary S. Bettersworth

Masters Theses & Specialist Projects

Knot nullification is an unknotting operation performed on knots and links that can be used to model DNA recombination moves of circular DNA molecules in the laboratory. Thus nullification is a biologically relevant operation that should be studied.

Nullification moves can be naturally grouped into two classes: coherent nullification, which preserves the orientation of the knot, and incoherent nullification, which changes the orientation of the knot. We define the coherent (incoherent) nullification number of a knot or link as the minimal number of coherent (incoherent) nullification moves needed to unknot any knot or link. This thesis concentrates on the study …

Using Zinc Finger Proteins As A Diagnostic Tool For The Detection Of A Cancer Biomarker, Anu Kini

Masters Theses & Specialist Projects

RASSF1A is a tumor suppressor gene which loses its function due to methylation of CpG islands on its promoter region. Detection of methylation leads to early diagnosis of cancer.

Zinc finger proteins are capable of detecting a specific DNA sequence and Methyl binding domain can bind to the methyl group on the CpG, using this idea mCpG SEER- Lac system makes use of a split protein, β-lactamase. Lac A attached to the ZFP and Lac B attached to the MBD protein. On binding to the DNA, the Lac A and Lac B come in close proximity with each other causing …

The Role Of Diagenesis In Reservoir Development Of The Big Clifty (Jackson) Sandstone In South-Central Kentucky, Kort H. Butler

Masters Theses & Specialist Projects

The Big Clifty is a Chesterian-age Mississippian sandstone member of the Golconda Formation that extends from south-central Kentucky into adjacent Illinois and Indiana. Asphaltic deposits and conventional petroleum plays are distributed along the Pennyrile Fault System and Plateau in the southeastern portion of the Illinois basin. In south-central Kentucky anomalous oil-saturation geometries are observed in cored sections of the Big Clifty from wells in Warren and Butler counties along the margin of the Pennyrile Plateau. Petrographic study of the cores has revealed several diagenetic processes that have contributed to, or are directly responsible for, the anomalous oil saturation geometries and …

Investigation Of Carbon Nanomaterials Embedded In A Cementitious Matrix, Clarissa A. Roe

Masters Theses & Specialist Projects

The objective of this thesis was to investigate whether the addition of carbon nanofibers had an effect on the splitting tensile strength of Hydro-Stone gypsum concrete. The carbon nanofibers used were single-walled carbon nanotubes (SWNT), buckminsterfullerene (C60), and graphene oxide (GO). Evidence of the nanofibers interacting with gypsum crystals in a connective manner was identified in both 1 mm thick concrete discs and concrete columns possessing a height of 2 in and a diameter of 1 in. Before imaging, the columns were subjected to a splitting tensile strength test. The results illustrate that while there is a general decrease in …

Evaluating The Influences Of Karst Hydrogeology On Freshwater Harmful Algal Blooms In Kentucky Lakes, Robert T. Schaefer

Masters Theses & Specialist Projects

A problem exists in Nolin River Lake and Rough River Lake in Kentucky, due to the increasing prevalence of cyanobacterial-based harmful algal blooms (CyanoHABs) and the threats they pose to local communities. These lakes were developed as artificial reservoirs from embankment. Further complicating the issue, the lakes are located within a heavily karstified region and there exists no plan or method currently for monitoring or managing CyanoHABs in a karst region with regard to groundwater inputs to the lake systems or their tributaries. A mixture of techniques and analysis methods was used to determine the best way to monitor and …

Santa Clara Magazine, Volume 57 Number 3, Summer 2016, Santa Clara University

Santa Clara Magazine

26 - CAN’T THREAD A MOVING NEEDLE To tackle sexual assault on college campuses, a playwriting project comes to the screen. By Danae Stahlnecker ’15.

28 - MISSION CRITICAL When three students fell ill from meningitis-causing bacteria—which can be fatal—it meant the clock was ticking. And to get through this, it would take everybody’s help. By Harold Gutmann.

36 - “WHERE ARE THEY TAKING US?” A journal from the front lines of the Syrian refugee crisis in Greece. By Colleen Sinsky ’10.

40 - NO STRANGERS HERE Refugees, home, and work by Ameera Naguib ’16 from Jordan to Silicon Valley. …

What Motivates High School Students To Take Precautions Against The Spread Of Influenza? A Data Science Approach To Latent Modeling Of Compliance With Preventative Practice, William L. Romine, Tanvi Banerjee, William R. Folk, Lloyd H. Barrow

Kno.e.sis Publications

– This study focuses on a central question: What key behavioral factors influence high school students’ compliance with preventative measures against the transmission of influenza? We use multilevel logistic regression to equate logit measures for eight precautions to students’ latent compliance levels on a common scale. Using linear regression, we explore the efficacy of knowledge of influenza, affective perceptions about influenza and its prevention, prior illness, and gender in predicting compliance. Hand washing and respiratory etiquette are the easiest precautions for students, and hand sanitizer use and keeping the hands away from the face are the most difficult. Perceptions of …

Thermal Analysis In A Triple-Layered Skin Structure With Embedded Vasculature, Tumor, And Gold Nanoshells, Casey O. Orndorff

Doctoral Dissertations

In hyperthermia skin cancer treatment, the objective is to control laser heating of the tumor (target temperatures of 42-46 °C) so that the temperatures of the normal tissue surrounding the tumor remains low enough not to damage the normal tissue. However, obtaining accurate temperature distributions in living tissue related to hyperthermia skin cancer treatment without using an intruding sensor is a challenge. The objective of this dissertation research is to develop a mathematical model that can accurately predict the temperature distribution in the tumor region and surrounding normal tissue induced by laser irradiation. The model is based on a modified …

Direct And Inverse Scattering Problems For Domains With Multiple Corners, Jiang Yihong

Doctoral Dissertations

Direct and inverse scattering problems have wide applications in geographical exploration, radar, sonar, medical imaging and non-destructive testing. In many applications, the obstacles are not smooth. Corner singularity challenges the design of a forward solver. Also, the nonlinearity and ill-posedness of the inverse problem challenge the design of an efficient, robust and accurate imaging method.

This dissertation presents numerical methods for solving the direct and inverse scattering problems for domains with multiple corners. The acoustic wave is sent from the transducers, scattered by obstacles and received by the transducers. This forms the response matrix data. The goal for the direct …

Drougthscape, Summer 2016, National Drought Mitigation Center

DroughtScape: Quarterly Newsletter of the National Drought Mitigation Center (2007–2023)

Contents

NDMC adds two employees

Second quarter drought summary: Drought slowly spreading

Second quarter drought impacts: Drought intensifies across US

First comprehensive drought

indices guidebook released

Drought Impact Reporter updates increase usability

Create a custom DIR view

Drought center co-leads MENA region project

McCook, Nebraska, tackles drought resilience

Arizona groups improve public lands drought planning

NDMC founder Don Wilhite retires

Which Interval Is The Closest To A Given Set?, Vladik Kreinovich, Olga Kosheleva

Departmental Technical Reports (CS)

In some practical situations, we know a set of possible values of a physical quantity -- a set which is not an interval. Since computing with sets is often complicated, it is desirable to approximate this set by an easier-to-process set: namely, with an interval. In this paper, we describe intervals which are the closest approximations to a given set.

Computational Micro-Flow With Spectral Element Method And High Reynolds Number Flow With Discontinuous Galerkin Finite Element Method, Haibo Zhang

Doctoral Dissertations

In this dissertation, two numerical methods with high order accuracy, Spectral Element Method (SEM) and Discontinuous Galerkin Finite Element Method (DG-FEM), are chosen to solve problems in Computational Fluid Dynamics (CFD). The merits of these two methods will be discussed and utilized in different kinds of CFD problems. The simulations of the micro-flow systems with complex geometries and physical applications will be presented by SEM. Moreover, the numerical solutions for the Hyperbolic Flow will be obtained by DG-FEM. By solving problems with these two methods, the differences between them will be discussed as well.

Compressible Navier-Stokes equations with Electro-osmosis body …

Rotation-Invariance Can Further Improve State-Of-The-Art Blind Deconvolution Techniques, Fernando Cervantes, Bryan E. Usevitch, Vladik Kreinovich

Departmental Technical Reports (CS)

In many real-life situations, we need to reconstruct a blurred image in situations when no information about the blurring is available. This problem is known as the problem of blind deconvolution. There exist techniques for solving this problem, but these techniques are not rotation-invariant. Thus, the result of using this technique may change with rotation. So, if we rotate the image a little bit, the method, in general, leads to a different deconvolution result. Therefore, even when the original reconstruction is optimal, the reconstruction of a rotated image will be different and, thus, not optimal. To improve the quality of …

How To Make Plausibility-Based Forecasting More Accurate, Kongliang Zhu, Nantiworn Thianpaen, Vladik Kreinovich

Departmental Technical Reports (CS)

In recent papers, a new plausibility-based forecasting method was proposed. While this method has been empirically successful, one of its steps -- selecting a uniform probability distribution for the plausibility level -- is heuristic. It is therefore desirable to check whether this selection is optimal or whether a modified selection would like to a more accurate forecast. In this paper, we show that the uniform distribution does not always lead to (asymptotically) optimal estimates, and we show how to modify the uniform-distribution step so that the resulting estimates become asymptotically optimal.

When We Know The Number Of Local Maxima, Then We Can Compute All Of Them, Olga Kosheleva, Martine Ceberio, Vladik Kreinovich

Departmental Technical Reports (CS)

In many practical situations, we need to compute local maxima. In general, it is not algorithmically possible, given a computable function, to compute the locations of all its local maxima. We show, however, that if we know the number of local maxima, then such an algorithm is already possible. Interestingly, for global maxima, the situation is different: even if we only know the number of locations where the global maximum is attained, then, in general, it is not algorithmically possible to find all these locations. A similar impossibility result holds for local maxima if instead of knowing their exact number, …

How Neural Networks (Nn) Can (Hopefully) Learn Faster By Taking Into Account Known Constraints, Chitta Baral, Martine Ceberio, Vladik Kreinovich

Departmental Technical Reports (CS)

Neural networks are a very successful machine learning technique. At present, deep (multi-layer) neural networks are the most successful among the known machine learning techniques. However, they still have some limitations, One of their main limitations is that their learning process still too slow. The major reason why learning in neural networks is slow is that neural networks are currently unable to take prior knowledge into account. As a result, they simple ignore this knowledge and simulate learning "from scratch". In this paper, we show how neural networks can take prior knowledge into account and thus, hopefully, learn faster.

Why 3-D Space? Why 10-D Space? A Possible Simple Geometric Explanation, Vladik Kreinovich

Departmental Technical Reports (CS)

In physics, the number of observed spatial dimensions (three) is usually taken as an empirical fact, without a deep theoretical explanation. In this paper, we provide a possible simple geometric explanation for the 3-D character of the proper space. We also provide a simple geometric explanation for the number of additional spatial dimensions that some physical theories use. Specifically, it is known that for some physical quantities, the 3-D space model with point-wise particles leads to meaningless infinities. To avoid these infinities, physicists have proposed that particles are more adequately described not as 0-D points, but rather as 1-D strings …

2015 Gsa International Distinguished Lecturer Tours Key Locations In Central And South America, Lisa L. Ely

Geological Sciences Faculty Scholarship

As the International Lecturer from North America, I visited 11 destinations in Ecuador, Peru, Chile, Costa Rica, Mexico, and Puerto Rico. The tour was designed to include locations where the topic of my presentation, “Following in the Footsteps of Darwin:
Combining Geological and Historical Evidence to Assess Earthquakes and Tsunami Hazards,” would have direct relevance.