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Fractional Operators and Variations Applied to Stefan Problems
Get PDFIn this thesis, we present a model for the free boundary Stefan problem. We begin with outlining the problem and its complexities, motivating the need for a numerical method. Then we introduce fractional operators, exploring various characteristics to narrow down the proper operator that will apply to the Stefan problem. We then outline our model, using the Caputo fractional derivative with a finite difference discretization and the SOR method to solve numerically. Our results are presented for different parameters such as latent heat and temperature. We end with suggestions for further work on our model
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Political Geometries: Graphs, Geometry, and Gerrymandering
No full textThe problem of constructing fair political districts and the related problem of detecting intentional gerrymandering has received a significant amount of attention in recent years. Attempting to analyze these issues from a mathematical perspective leads to a wide variety of interesting problems in geometry, graph theory, and probability. In this talk, I will discuss recent work centered around Markov chain sampling of districting plans that has motivated theoretical questions in these fields, including designing proposal distributions, evaluating the computational complexity of sampling, and measuring the geometric and partisan properties of districts. Beyond the mathematical developments, this work has also appeared in court challenges, commission-based map making, and legislative reform efforts. I will discuss what it is like to participate in these outreach experiences as a mathematician and some of the related data and computational challenges
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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A Novel Approach to Multiple Hypothesis Testing Under Dependence and Insights for Inference on Random Dot Product Networks
Get PDFStatistical inference problems, particularly in the context of multiple hypotheses testing, attract extensive research attention. This is particularly true when the test candidates exhibit interdependence or lack of independence among themselves. Concurrently, network analysis has emerged as a pivotal field for unveiling the interconnectedness and relationships among entities within a network, also making it a prominent area of investigation. In this dissertation, we investigate two distinct topics. In the first study, we introduce the concept of "r-Power" for evaluating multiple hypothesis testing under dependence, with our focus being on block diagonal correlation correlation structure. We explore its asymptotic properties and validate our findings through comprehensive simulation studies. Additionally, we present an algorithm that effectively utilizes this metric and demonstrate its practical applications in gene co-expression and Genome-Wide Association Studies (GWAS). Our results illustrate that, in a high-dimensional data, with relatively low number of signals, our method is able to provide a confidence to the list of captured signals. Furthermore, our formulation offers insights into selecting an appropriate number of test candidates for improved confidence levels. In our second study, we focus on statistical inferential techniques tailored for social network data, with a specific emphasis on the Random Dot Product model. We address the challenge of overestimation or underestimation of common social network metrics under this model with adjacency spectral embedding, particularly for small to medium-scaled networks. Additionally, we propose a novel embedding method for accurately representing such networks asymptotically and determine graph embedding for specific graph families. We also reviewed hypotheses testing for social network comparison and proposed a parametric approach to test the difference between two social networks. We validate our findings using data from a village social network. Overall, this dissertation contributes to our understanding of statistical inference in high-dimensional data, with our focus on multiple hypotheses testing and network analysis. It tackles challenges, presents solutions, and showcases practical applications, thereby enhancing our overall knowledge in these areas
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
Dispelling the Myths Behind First-author Citation Counts
Get PDFWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
koamabayili/VECTRON-author-checklist: VECTRON author checklist
No full textWe have done our best to complete the author checklist relating to the use of animals in the hut study. Note that the objective for the hut study was to evaluate the IRS treatment applications for residual efficacy against Anopheles mosquitoes, including the local An. coluzzii mosquito population. Cows were only used to attract mosquitoes into the huts and no tests were carried out directly on the cows. The author checklist is intended for use with studies where experiments are carried out on animals, which is why we have had such difficulty in completing this for the hut study, as many of the questions do not relate to how the cows were used
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