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Full-Text Articles in Physical Sciences and Mathematics

Extraction Of Information From Crowdsourcing: Experimental Test Employing Bayesian, Maximum Likelihood, And Maximum Entropy Methods, Mark P. Silverman Oct 2019

Extraction Of Information From Crowdsourcing: Experimental Test Employing Bayesian, Maximum Likelihood, And Maximum Entropy Methods, Mark P. Silverman

Faculty Scholarship

A crowdsourcing experiment in which viewers (the “crowd”) of a British Broadcasting Corporation (BBC) television show submitted estimates of the number of coins in a tumbler was shown in an antecedent paper (Part 1) to follow a log-normal distribution ∧(m,s2). The coin-estimation experiment is an archetype of a broad class of image analysis and object counting problems suitable for solution by crowdsourcing. The objective of the current paper (Part 2) is to determine the location and scale parameters (m,s) of ∧(m,s2) by both Bayesian and maximum …


Model Reconstruction From Temporal Data For Coupled Oscillator Networks, Mark J. Panaggio, Maria Veronica Ciocanel, Lauren Lazarus, Chad M. Topaz, Bin Xu Oct 2019

Model Reconstruction From Temporal Data For Coupled Oscillator Networks, Mark J. Panaggio, Maria Veronica Ciocanel, Lauren Lazarus, Chad M. Topaz, Bin Xu

Faculty Scholarship

© 2019 Author(s). In a complex system, the interactions between individual agents often lead to emergent collective behavior such as spontaneous synchronization, swarming, and pattern formation. Beyond the intrinsic properties of the agents, the topology of the network of interactions can have a dramatic influence over the dynamics. In many studies, researchers start with a specific model for both the intrinsic dynamics of each agent and the interaction network and attempt to learn about the dynamics of the model. Here, we consider the inverse problem: given data from a system, can one learn about the model and the underlying network? …


Crowdsourced Sampling Of A Composite Random Variable: Analysis, Simulation, And Experimental Test, Mark P. Silverman Aug 2019

Crowdsourced Sampling Of A Composite Random Variable: Analysis, Simulation, And Experimental Test, Mark P. Silverman

Faculty Scholarship

A composite random variable is a product (or sum of products) of statistically distributed quantities. Such a variable can represent the solution to a multi-factor quantitative problem submitted to a large, diverse, independent, anonymous group of non-expert respondents (the “crowd”). The objective of this research is to examine the statistical distribution of solutions from a large crowd to a quantitative problem involving image analysis and object counting. Theoretical analysis by the author, covering a range of conditions and types of factor variables, predicts that composite random variables are distributed log-normally to an excellent approximation. If the factors in a problem …


Fifteenth Annual Summer Research Symposium Abstract Book, Trinity College, Hartford Connecticut Jul 2019

Fifteenth Annual Summer Research Symposium Abstract Book, Trinity College, Hartford Connecticut

Science Symposia Abstracts

2019 summer volume of abstracts for science research projects conducted by students at Trinity College.


Progressive Randomization Of A Deck Of Playing Cards: Experimental Tests And Statistical Analysis Of The Riffle Shuffle, Mark P. Silverman Apr 2019

Progressive Randomization Of A Deck Of Playing Cards: Experimental Tests And Statistical Analysis Of The Riffle Shuffle, Mark P. Silverman

Faculty Scholarship

The question of how many shuffles are required to randomize an initially ordered deck of cards is a problem that has fascinated mathematicians, scientists, and the general public. The two principal theoretical approaches to the problem, which differed in how each defined randomness, has led to statistically different threshold numbers of shuffles. This paper reports a comprehensive experimental analysis of the card randomization problem for the purposes of determining 1) which of the two theoretical approaches made the more accurate prediction, 2) whether different statistical tests yield different threshold numbers of randomizing shuffles, and 3) whether manual or mechanical shuffling …


Total Mercury Accumulation And Spatial Distribution In Beachland Park Pond, West Hartford, Ct And Keney Park Pond, Hartford, Ct, Shane Mark Mclaughlin Apr 2019

Total Mercury Accumulation And Spatial Distribution In Beachland Park Pond, West Hartford, Ct And Keney Park Pond, Hartford, Ct, Shane Mark Mclaughlin

Senior Theses and Projects

Ponds are ecologically important as centers for biodiversity, and those within urbanized watersheds typically have altered hydrology, morphology, and water chemistry. The accumulation of heavy metals, such as mercury (Hg), in subaqueous pond sediments has the potential to harm pond ecosystems, but the behavior of Hg in urban ponds is poorly understood. I investigated spatial variability of mercury accumulation within the sediments of two urban ponds: Beachland Park Pond in West Hartford, CT, USA, and Keney Park Pond, in Hartford, CT, USA. I collected 5 samples from 14 distinct sites around each pond’s perimeter. I analyzed the fine (<63 >μm) …


Collaborative Learning Exercises For Teaching Protein Mass Spectrometry [Post-Print], Michelle Kovarik, Jill K. Robinson Mar 2019

Collaborative Learning Exercises For Teaching Protein Mass Spectrometry [Post-Print], Michelle Kovarik, Jill K. Robinson

Faculty Scholarship

A collaborative learning module for teaching protein mass spectrometry has been developed to overcome common obstacles to incorporating the modern topic of biological mass spectrometry into the undergraduate chemistry curriculum. Protein mass spectrometry data is provided to eliminate the need for expensive instrumentation, and an instructor’s manual gives necessary details for those unfamiliar with the topic. The first section provides background information on proteins and the field of proteomics. The second section describes the use of electrospray ionization to determine the molecular weight of a protein. The third section shows how to identify a protein using peptide mass mapping, and …


Student Engagement Is Key To Broadening Participation In Cs, Beryl Hoffman, Ralph Morelli, Jennifer Rosato Feb 2019

Student Engagement Is Key To Broadening Participation In Cs, Beryl Hoffman, Ralph Morelli, Jennifer Rosato

Faculty Scholarship

© 2019 Copyright held by the owner/author(s). Publication rights licensed to ACM. The Mobile CS Principles (Mobile CSP) course is one of the NSF-supported, College Board-endorsed curricula for the new Computer Science Principles AP course. Since 2013, the Mobile CSP project has trained more than 700 teachers, and the course has been offered to more than 20,000 students throughout the United States. The organizing philosophy behind the Mobile CSP course is that student engagement in the classroom is the key to getting students, especially those traditionally underrepresented in CS, interested in pursuing further study and careers in CS. The main …


Thirty-Second Annual Symposium Of Trinity College Undergraduate Research, Trinity College, Hartford Connecticut Jan 2019

Thirty-Second Annual Symposium Of Trinity College Undergraduate Research, Trinity College, Hartford Connecticut

Science Symposia Abstracts

2019 annual volume of abstracts for science research projects conducted by students at Trinity College.


Symmetry And Symmetry Breaking In Coupled Oscillator Communities [Post-Print], Per Sebastian Skardal Jan 2019

Symmetry And Symmetry Breaking In Coupled Oscillator Communities [Post-Print], Per Sebastian Skardal

Faculty Scholarship

With the recent development of analytical methods for studying the collective dynamics of coupled oscillator systems, the dynamics of communities of coupled oscillators have received a great deal of attention in the nonlinear dynamics community. However, the majority of these works treat systems with a number of symmetries to simplify the analysis. In this work we study the role of symmetry and symmetry-breaking in the collective dynamics of coupled oscillator communities, allowing for a comparison between the macroscopic dynamics of symmetric and asymmetric systems. We begin by treating the symmetric case, deriving the bifurcation diagram as a function of intra- …