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Difference between revisions of "Research Experiences for Undergraduates 2018-Participants"

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'''Central New Mexico'''
 
'''Central New Mexico'''
 
<br><br>
 
<br><br>
'''Bio:''' Freshman in Computer Science, particularly interested in cellular automata. If I'm not studying I'm probably rock climbing.
+
'''Bio:''' Rising Sophomore in Computer Science, particularly interested in cellular automata. If I'm not studying I'm probably rock climbing.
 +
 
 +
'''Mentors:''' Mirta Galesic and Joshua Garland
 +
 
 +
'''Talk Title:'''  Inferring Prejudice based upon Part of Speech Differences
 +
 
 +
'''Abstract:'''
 +
 
 +
In this paper we examine the ways in which identical words can have different semantic meanings and contexts, both across time and across political spectra. We propose that using the same words as different parts of speech consistently may suggest an individual’s or community’s political leanings and that examining the semantic contexts of these words may illuminate how beliefs of individuals and communities evolve. E.g. “the gays” (gay used as a noun) might be more prejudicial than “gay people” (gay used as an adjective).
 +
The approach taken is similar to the strategies employed by Kulkarni et al (2014) in that we examine frequency, syntax, and semantics. Frequency analysis involves the ratio of a given word count to corpus size, while syntactic analysis examines the part of speech a word is used as - as mentioned above. Finally, semantic analysis involves training instances of word2vec on corpora divided by time/community before comparing the resulting vectors to find words that carry different meanings in different times/communities.
 +
Data used are news articles and comments published on the websites of Breitbart, The Atlantic, Mother Jones, and The Hill, in the period from 2015 to 2017. We believe that this approach may enable the early detection of individuals or communities drifting towards more radical views, especially those under the influence of demagogues with distinctive patterns of rhetoric.
 
<br>
 
<br>
  
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'''Michigan Technological University'''
 
'''Michigan Technological University'''
 
<br><br>
 
<br><br>
'''Bio:''' I am an environmental engineering major in Houghton, Michigan, but I originally come from Las Vegas. In Houghton I participate in all things winter because this year alone we’ve had 261 inches of snow (I have forgotten what the sun looks like). As a member of Engineers Without Borders, my team is working on a water distribution system for a town in Panama. In my research I’m interested in climate change mitigation strategies and their application to the most victimized and underdeveloped areas.
+
'''Bio:''' I am an Environmental Engineering major in Houghton, Michigan, but I originally come from Las Vegas, Nevada. In Houghton I participate in all things winter because this year alone we’ve had 261 inches of snow (I have forgotten what the sun looks like). As a member of Engineers Without Borders, my team is working on a water distribution system for a town in Panama. In my research I’m interested in climate change mitigation strategies and their application to the most victimized and underdeveloped areas.
 
<br><br>
 
<br><br>
'''SFI MENTOR:'''  Elizabeth Hobson and Scott Page (secondary, provisional)
+
'''SFI MENTOR:'''  Elizabeth Hobson (primary) and Scott E. Page (secondary)
 
<br><br>
 
<br><br>
 +
'''TITLE:''' Diversity Bonuses in Humanitarian Engineering<br>
 
'''ABSTRACT:''' <br>
 
'''ABSTRACT:''' <br>
Diversity bonuses occur when a group with diverse cognitive skills works together
+
Diversity bonuses occur when a group with diverse cognitive skills works together inclusively on cognitive non-routine tasks. The ideal cognitive repertoire and type of inclusion differ depending on the task that needs to be completed. The goal of this project is to understand to what extent diversity bonuses occur in philanthropic engineering, specifically looking at projects done by Engineers Without Borders (EWB). Furthermore, the project will examine variances in cognitive repertoires and types of inclusion present in EWB projects using surveys sent out to the student international project teams of the organization. By examining the structure and composition of student chapters and comparing them with the successes and failings of their perspective projects, insights into the ideal configuration can be deduced.  
inclusively on complex nonroutine tasks (Page, 2). The ideal cognitive repertoire and type of
 
inclusion differ depending on the task that needs to be completed. The goal of this project is to
 
understand to what extent diversity bonuses occur in philanthropic engineering, specifically
 
looking at projects done by Engineers Without Borders (EWB). Furthermore, the project will
 
examine variances in cognitive repertoires and types of inclusion present in EWB projects. By
 
examining the structure and composition of student chapters and comparing them with the
 
successes and failings of their perspective projects, insights into the ideal configuration can be
 
deduced.
 
  
 
==Megan Bromley==
 
==Megan Bromley==
Line 42: Line 45:
 
'''Bio:''' Megan Bromley is an incoming senior at Arizona State University, where she studies Astrobiology and Creative Writing. She is also active in the Sun Devil Marching Band as a piccolo player and is a poetry editor for Superstition Review-- a semiannual online literary magazine that attracts authors from around the world.
 
'''Bio:''' Megan Bromley is an incoming senior at Arizona State University, where she studies Astrobiology and Creative Writing. She is also active in the Sun Devil Marching Band as a piccolo player and is a poetry editor for Superstition Review-- a semiannual online literary magazine that attracts authors from around the world.
 
<br>
 
<br>
 
+
'''Mentor:'''  Manfred Laubichler
 +
<br>
 
==Naika Dorilas==
 
==Naika Dorilas==
 
<br>
 
<br>
Line 50: Line 54:
 
'''Florida Atlantic University'''
 
'''Florida Atlantic University'''
 
<br><br>
 
<br><br>
'''Bio:'''  Hello, my name is Naika Dorilas. I am going into my senior year at Florida Atlantic University, and I am a mathematics major with a minor in computer science. I am very excited to learn and grow as a researcher in the SFI community because this is the field I want to dedicate my career to. Outside of academics, I volunteer at a horse ranch and with special needs children.
+
'''Bio:'''  Hello, my name is Naika Dorilas. I am going into my senior year at Florida Atlantic University, and I am a mathematics major with a minor in computer science. I am very excited to learn and grow as a researcher in the SFI community because this is the field I want to dedicate my career to. Outside of academics, I volunteer at a horse ranch and with special needs children. I also really love Sunmi!
<br>
+
<br><br>
'''SFI MENTOR:'''   : Jacopo Grilli (primary) and Andy Rominger(secondary)
+
'''SFI MENTOR:'''   Jacopo Grilli and Andy Rominger
 
<br><br>
 
<br><br>
 
'''ABSTRACT:''' <br>
 
'''ABSTRACT:''' <br>
'''Provisional Title:''' Understanding Stability of Ecosystems In Higher Dimensions and Various Cases of Interaction Through a Random Matrix Theory Approach<br>
+
'''Talk Title:''' Inferring Characteristics of Interaction Matrices in an Ecological Context
For a lower dimension interaction matrix determined by specific species interactions, we aim to study the dynamics of the system at equilibrium by calculating and analyzing the eigenvalues of the interaction matrix A. This is done as a precursor to our study of random matrices. Random Matrices are used to model many interactions in nature between a number of species, S, in high dimensions (i.e. for sufficiently large S), and from it came many universal results for specific matrix configurations. We aim to explore the most important results from ecologists such as Robert May concerning matrix properties for specific configurations, and some configurations of A without well-established results. More specifically, we are interested in the distribution of eigenvalues of A and in turn, the interaction conditions necessary for coexistence.
+
 
 +
In ecology, an interaction matrix describes how species in an ecosystem interact with one another and affect each others growth in a given model of population growth. In an attempt to find a method for inferring species interactions, many ecologists have tried to go from time series data on the populations of species to inferring the entire interaction matrix. In this paper, the objective is to infer parameters of the interaction matrix, given a set of data, so instead of inferring the entire matrix, we just want 3 key statistical properties about how the entries are drawn, the mean, variance and average diagonal elements d. So based on a specified ecosystem we are trying to find a method of inferring the statistical properties of the interaction matrix between different species based on a simple model of population fluctuation. We will use maximum likelihood, to predict the probability of observing our data, x given our parameters for the mean, variance and average diagonal elements. So what we expect from this maximization are the parameters that make the data, or fluctuations in population sizes of the species the most likely. The implications of this are that assuming this method is successful, any randomly generated matrix with the given statistical properties found could be used to describe how species in the data set used interact.
  
 
==Nicolas Gort Freitas==
 
==Nicolas Gort Freitas==
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'''Minerva Schools at KGI'''
 
'''Minerva Schools at KGI'''
 
<br><br>
 
<br><br>
'''Bio:''  Nico is a rising senior at Minerva Schools. He studies natural and computational sciences, concentrating in biology and statistics respectively. Nico’s interests range from systems and synthetic biology to linguistics and information theory. He is passionate about discovering new ways to model interactions in biological systems and their evolution. In his free time Nico enjoys hiking and dancing tango, and is keen on learning languages and playing folk versions of rock songs.
+
'''Bio:'''  Nico is a rising senior at Minerva Schools. He studies natural and computational sciences, concentrating in biology and statistics respectively. Nico’s interests range from systems and synthetic biology to linguistics and information theory. He is passionate about discovering new ways to model interactions in biological systems and their evolution. In his free time Nico enjoys hiking and dancing tango, and is keen on learning languages and playing folk versions of rock songs.
 
<br><br>
 
<br><br>
'''url:'' www.ngort.com
+
 
 +
'''SFI MENTORS:''' Chris Kempes, Artemy Kolchinsky.
 +
 
 +
'''Abstract'''
 +
 +
Energetic and informational trade-offs in biochemical networks
 +
 
 +
Cellular environments are complex and dynamic. The temporal and spatial concentration profiles of external molecules encode information that cells can harness through networks of interacting molecules, which allow them to learn about their environment. I will study the relationship between the architecture of biochemical networks and their efficiency in terms of energetic cost, transmission speed and accuracy. I will extend analytic models and build spatial simulations based on statistical mechanics, thermodynamics, information theory and network science. This work intends to unveil a framework to design more efficient synthetic biological circuits for different types of signaling tasks and cellular environments.
 +
 
 +
'''URL:''' [http://www.ngort.com Personal website].
  
 
==Seung Yeon Han==
 
==Seung Yeon Han==
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'''SFI MENTOR:'''  Mike Price (co-mentor), Andy Rominger (co-mentor)
 
'''SFI MENTOR:'''  Mike Price (co-mentor), Andy Rominger (co-mentor)
 
<br><br>
 
<br><br>
'''ABSTRACT:''' <br>
+
'''ASPIRATIONAL ABSTRACT:''' <br>
'''Provisional Title:''' Inequality level optimized for sustainable economic growth<br>
+
'''Provisional Title:''' Economic Inequality and Professional Diversity<br>
Economic inequality has worried lots of people over the decades, but it is impossible to make it disappear completely. Then we should ask what is the optimized level of the inequality? But optimized for what? One of the side effects of economic inequality is that it can drive the life of the poor to below the adequate living of standard. Under the sustainable growth of the economy, the side effects of the inequality can be alleviated. Widening the access of the poor into the economic activities in the market is an effective way to ensure the sustainable economic growth. Therefore, one way to find the optimized level of the inequality can be the research on the inequality level for the highest employment rate.
+
At this point, the research aims to answer the question "Is there any correlation between economic inequality and professional diversity?"
  
 
==Edward Huang==
 
==Edward Huang==
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'''University of California, Berkeley'''
 
'''University of California, Berkeley'''
 
<br><br>
 
<br><br>
'''Bio:'''Edward is a third-year applied mathematics student at UC Berkeley with a concentration in computer science. Previously, he worked on undergraduate research in evolutionary ecology and radiobiology. His current research interests include neural networks, signal processing, and modeling complex systems. Apart from his studies, Edward serves as an ambassador for the outdoor brand Klattermusen and leads instructional rock climbing and mountaineering trips with other students.
+
'''Bio:''' Edward is a third-year applied mathematics student at UC Berkeley with a concentration in computer science. Previously, he worked on undergraduate research in evolutionary ecology and radiobiology. His current research interests include neural networks, signal processing, and modeling complex systems. Apart from his studies, Edward serves as an ambassador for the outdoor brand Klattermusen and leads instructional rock climbing and mountaineering trips with other students.
 
<br><br>
 
<br><br>
'''URL:''' www.github.com/eghuang
+
'''URL:''' www.eghuang.com
 
<br><br>
 
<br><br>
 
'''SFI MENTOR:'''  David Wolpert
 
'''SFI MENTOR:'''  David Wolpert
 
<br><br>
 
<br><br>
'''ABSTRACT:''' <br>
+
'''TALK TITLE:''' Connections between Turing machines and a formalization of knowledge
There has been much interest surrounding what properties about the universe can be derived by applying a mathematical formalization of information. Previously, Wolpert has demonstrated bounds on knowledge in any physical universe that allows agents to hold information concerning that universe by using the concept of "inference devices" (IDs). We seek to prove stronger statements about knowledge in a physical universe by considering inference devices that cannot make perfect predictions in Wolpert’s framework.
+
<br><br>
 +
'''ABSTRACT:''' There has been much interest surrounding what properties about the universe can be derived from applying a mathematical formalization of inference and knowledge. Previous work by Wolpert used the theory of "inference devices" (IDs) to demonstrate bounds on knowledge in any physical universe that allows agents to hold information concerning that universe. We extend previous work on the capacity and limitations of IDs to infer physical variables. Our results impose conditions on the inference of singular functions and sets of functions. We pursue analogues between IDs and their relation to Turing machine theory and algorithmic information theory. In particular, we show that any Turing machine can be strongly inferred and build upon that to demonstrate incompressibility of strong inference complexity. This incompressibility result has led to several analogues between Kolmogorov complexity and inference complexity that suggest further similarities between algorithmic information theory and the theory of inference devices.
 +
 
  
 
==Alyssa Johnson==
 
==Alyssa Johnson==
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'''Bio:'''  I'm originally from Santa Fe, NM, and now study Mathematics and Sociology at NMHU in Las Vegas, NM. In particular, I'm interested in the sociology of our built environment, and issues such as climate change resilience, environmental justice, and housing policy. I've also done non-profit work in sustainability and climate change education. Currently, I'm living in and restoring a historic home, I sing in NMHU's Madrigal Choir, and I enjoy reading works of fiction and of creative nonfiction.
 
'''Bio:'''  I'm originally from Santa Fe, NM, and now study Mathematics and Sociology at NMHU in Las Vegas, NM. In particular, I'm interested in the sociology of our built environment, and issues such as climate change resilience, environmental justice, and housing policy. I've also done non-profit work in sustainability and climate change education. Currently, I'm living in and restoring a historic home, I sing in NMHU's Madrigal Choir, and I enjoy reading works of fiction and of creative nonfiction.
 
<br><br>
 
<br><br>
'''SFI MENTOR:'''  Chris Kempes (primary), Geoffrey West (secondary), Mike Price (secondary, provisional)
+
'''SFI MENTOR:'''  Chris Kempes (primary), Geoffrey West (secondary)
 
<br><br>
 
<br><br>
 
'''ABSTRACT:''' <br>
 
'''ABSTRACT:''' <br>
When discussing housing affordability and access, we often refer to a community’s average income or median home price, without taking into account the actual distribution, complete with skew and outliers, of these measures. This project aims to create a new measure of availability of affordable housing by quantitatively comparing the shapes of the frequency distributions of income and housing cost. I will then explore whether this measure of availability exhibits a scaling relationship with respect to city size, the way that so many other urban attributes do, and attempt to create a model that explains whatever scaling behavior may be observed.
+
'''Provisional Title:''' Scaling in Housing Availability and Affordability<br>
 +
When discussing housing affordability and access, we often refer to a community’s average income or median home price, without taking into account the actual distribution, complete with skew and outliers, of these measures. This project aims to create a new measure of availability of affordable housing by quantitatively comparing the shapes of the frequency distributions of income and housing cost. I will then explore whether this measure of availability exhibits a scaling relationship with respect to city size, the way that so many other urban attributes do.
  
 
==Terran Mott==
 
==Terran Mott==
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'''Grinnell College'''
 
'''Grinnell College'''
 
<br><br>
 
<br><br>
'''Bio:''' My name is Terran Mott, I am mathematics and economics major at Grinnell College from Golden, Colorado. I'm interested in behavioral economics and human social systems. In my free time, I run cross country for Grinnell and enjoy spending time in the mountains.
+
'''Bio:''' My name is Terran Mott, I am mathematics and economics major at Grinnell College from Golden, Colorado. In my free time, I run cross country for Grinnell and enjoy spending time in the mountains.
 
<br><br>
 
<br><br>
'''SFI MENTOR:'''  Chris Kempes (primary), Michael Lachmann (secondary)
+
'''SFI MENTOR:'''  David Feldman
 
<br><br>
 
<br><br>
'''ASPIRATIONAL ABSTRACT:''' <br>
+
'''ABSTRACT:''' <br>
'''Provisional Title:''' What’s Up with Explicit Evolution of Scaling in Organic Architecture <br>
+
'''Title:''' Building Intuition in Higher Dimensions: A Combinatorial Approach to Higher Dimensional Fractal Geometry <br><br>
My project will be an analytical abstraction of the concept that biological organisms at all scales rely on network structures to grow and thrive. Specifically, I will investigate the effect of selective pressure on the nature of these networks over many generations. I plan to simulate network growth at different scales by creating ‘nucleator populations’ of increasing area from which fractal structures can grow. Then, I will define a selective force that leads to sufficiently intriguing structure. This selection may incorporate fractal dimension, terminal points, or notions about the ability of each network to uptake resources from the environment.  
+
Visual intuition is limited to three dimensions. Despite this blindfold, plenty of geometry lives comfortably in higher dimensions. In this paper, we develop an intuitive framework that explores the structure of N-dimensional cubes without visualization. We create a combinatorial system that categorizes the innards of hypercubes to understand how their material is assembled. By translating higher dimensional geometric challenges into combinatorial ones, we can analyze the higher dimensional analogs of common cube-originated fractals. We can also explore universal properties of hypercubes that hold in any dimension.  
 
<br><br>
 
<br><br>
I will then iterate an evolutionary process—via information inheritance and random mutation of the fractal structures—that will isolate ‘fit’ characteristics over many generations. Once each discrete scale of nucleator has undergone the evolutionary process, I will analyze the results with an eye for linear scaling relationships. I will also consider whether the same selection process produces different structural ‘solutions’ at different scales.
+
'''Talk:''' https://tinyurl.com/terran-mott-sfi-talk
  
 
==Mike Neuder==
 
==Mike Neuder==
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'''Minerva Schools at KGI'''
 
'''Minerva Schools at KGI'''
 
<br><br>
 
<br><br>
'''Bio:''' Hi! I'm Oluwasunmisola, and I'm from Nigeria. I am a Freshman at Minerva Schools at KGI, and I intend to do a double major in Natural Sciences and Social Sciences. I also enjoy writing, reading novels and craft making.
+
'''Bio:''' Hi! I'm Oluwasunmisola, and I'm from Nigeria. I am a Freshman at Minerva Schools at KGI, and I intend to major in Natural Sciences with a minor in Social Sciences. I also enjoy writing, reading novels and craft making.
 
<br><br>
 
<br><br>
'''SFI MENTOR:'''  Mirta Galesic (primary) and Mike Price (provisional)
+
'''SFI MENTORS:'''  Mirta Galesic and Mike Price  
 
<br><br>
 
<br><br>
 +
'''Title:''' The Effect of Heterogenous Susceptibility on the Speed of Disease Spread and the Final Epidemic Size<br>
 +
 
'''ABSTRACT:''' <br>
 
'''ABSTRACT:''' <br>
'''Provisional Title:''' Effect of Susceptibility Distribution on the speed of disease spread<br>
+
An assumption that is most times made when designing epidemic models is that all people in a population have the same susceptibility to a disease, however, that assumption is not entirely accurate. People have different susceptibilities to a disease because of difference in genes, lifestyles etc. Nonetheless, not much work has been done to show how this heterogeneous susceptibility can affect the predictions made from disease models. Here we show that - in the SIR model - it is important to take heterogeneous susceptibility into account as it affects the final epidemic size of a disease, although it does not significantly affect the speed of the spread of a disease.
A number of diseases still don’t have vaccinations available for them so health officials ask
+
 
people to engage in practices to reduce the spread of the disease such as washing of hands
 
and keeping their environment clean. However, people adhere to rules such as these differently
 
because of personal beliefs, stigma, norms etc. Therefore, people within the society would have
 
different susceptibilities to the disease (heterogenous susceptibility). This paper aims to find out
 
how the distribution of the susceptibilities in the community affects how fast the disease
 
spreads.
 
  
 
==Alexander Ortiz==
 
==Alexander Ortiz==
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'''Northwestern University'''
 
'''Northwestern University'''
 
<br><br>
 
<br><br>
'''Bio:''' I'm a third-year mathematics major at Northwestern interested in applications of math to problems in complexity science.
+
'''Bio:''' I'm a rising senior mathematics major at Northwestern interested in applications of math to problems in complexity science.
 
<br><br>
 
<br><br>
'''SFI MENTOR:'''  Cris Moore
+
'''SFI Mentor:'''  Cris Moore
 
<br><br>
 
<br><br>
'''ABSTRACT:''' <br>
+
'''Talk Title:''' A Summer of Manifolds <br><br>
A Hopf algebra is an algebraic structure that carries the data of an associative algebra with a unit, but also the data of a “coalgebra” and a “counit” satisfying certain axioms. One way to motivate Hopf algebras is the desire for a group object in monoidal categories that are not Cartesian. The data of a Markov chain, on the other hand, is essentially the data of a certain matrix known as the “transition matrix” which represents probabilities that a process transitions from one state to another. In her PhD thesis, Chung Yin Amy Pang described how to combine these data to essentially “break” and “recombine” combinatorial objects. This summer, I will be looking at Pang’s thesis as well as drawing from other resources to learn about some of the applications of these ideas as well as ideas from representation theory to understand random walks, card shuffling, and other combinatorial and topological objects.
+
'''Abstract:''' Smooth manifold theory is a foundational theory for many branches of mathematics
 +
including differential geometry, mathematical physics, and differential topology.  
 +
This summer I explored some fundamental notions of this theory, including smooth atlases, maps, tangent spaces,
 +
immersions, submersions, submanifolds, vector fields and flows, and Lie groups.
  
 
==Jaeweon Shin==
 
==Jaeweon Shin==
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'''Rice University'''
 
'''Rice University'''
 
<br><br>
 
<br><br>
'''Bio:''' I'm a sophomore majoring in math at Rice University. I'm interested in understanding our society through quantitative methods. Look forward to meeting yall!
+
'''Mentors:''' David Wolpert (primary) and Mike Price (secondary)
<br>
+
<br><br>
 +
'''ASPIRATIONAL ABSTRACT:''' <br>
 +
'''Provisional Title:''' Evidence for two stages in historical development <br>
 +
In 2017, a group of researchers (Turchin et al 2017) published a large database of historical records called Seshat. Using this dataset, the same researchers concluded that there is a major axis of social complexity, which  represents how complex a society is at a given time period. By expanding on this analysis, we show that there are, in fact, two clusters within the major axis that displays different characteristics. Furthermore, we show that these two clusters could imply that all societies could be classified into largely two stages based on the relative complexities of their societies.  
  
 
==Sahana Subramanyam==
 
==Sahana Subramanyam==
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'''Bio:'''  Sahana is majoring in Economics at Azim Premji University, India. She is currently researching how regressive social structures like caste emerge from certain micro-behaviours. Apart from her research, she enjoys illustrating.
 
'''Bio:'''  Sahana is majoring in Economics at Azim Premji University, India. She is currently researching how regressive social structures like caste emerge from certain micro-behaviours. Apart from her research, she enjoys illustrating.
 
<br><br>
 
<br><br>
'''SFI MENTOR:'''  Mike Price (primary) and Paul Hooper (secondary)
+
'''SFI MENTOR:'''  Sam Bowles, Wendy Carlin, Mike Price and Paul Hooper  
 
<br><br>
 
<br><br>
'''ABSTRACT:''' <br>
+
'''ASPIRATIONAL ABSTRACT:''' <br>
The model proposed consists of three network layers: the geographic, economic and social. The geographic layer consists of rural and urban clusters with edges representing inhabitation in these areas. In the economic layer, class relations are represented as nodes (the bourgeoisie and the proletariat) linked to each other through employment. The final layer is that of a social network. The project aims to understand rural-urban migration patterns of agents motivated by economic compulsions (modeled as wage differentials) and constrained by information of wages received through their social network. A potential emergent phenomenon that could be observed is that of ghettoization in terms of class or endogenous social group signals.
+
'''Provisional Title:''' Continuity and change in economics pedagogy: A computational linguistic analysis of textbooks <br>
 +
This project aimed to use the tools of computational linguistics, specifically LDA topic models to address a larger question of change and continuity in the discipline of economics, through the lens of textbooks as a proxy for pedagogical tools. Another question that was also explored, which motivated the research is asking whether CORE can be considered a paradigm setting text, from the Kuhnian definition of a paradigm, and if so what makes it different from other modern textbooks.
  
 
==Keming Zhang==
 
==Keming Zhang==
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<br><br>
 
<br><br>
 
'''Bio:''' I am a junior at St. John’s College and study in the Great Books Program. I am interested in the application of mathematical and physical methods to social sciences. I am also quite interested in education and enjoy volunteering as a tutor.
 
'''Bio:''' I am a junior at St. John’s College and study in the Great Books Program. I am interested in the application of mathematical and physical methods to social sciences. I am also quite interested in education and enjoy volunteering as a tutor.
<br>
+
<br><br>
 
+
'''Mentor:'''  Sid Redner
 +
<br><br>
 
==REU Alumni Fellows==
 
==REU Alumni Fellows==
  

Latest revision as of 21:11, 14 September 2018

Research Experiences for Undergraduates 2018


Benjamin Anker


{border}
Central New Mexico

Bio: Rising Sophomore in Computer Science, particularly interested in cellular automata. If I'm not studying I'm probably rock climbing.

Mentors: Mirta Galesic and Joshua Garland

Talk Title: Inferring Prejudice based upon Part of Speech Differences

Abstract:

In this paper we examine the ways in which identical words can have different semantic meanings and contexts, both across time and across political spectra. We propose that using the same words as different parts of speech consistently may suggest an individual’s or community’s political leanings and that examining the semantic contexts of these words may illuminate how beliefs of individuals and communities evolve. E.g. “the gays” (gay used as a noun) might be more prejudicial than “gay people” (gay used as an adjective). The approach taken is similar to the strategies employed by Kulkarni et al (2014) in that we examine frequency, syntax, and semantics. Frequency analysis involves the ratio of a given word count to corpus size, while syntactic analysis examines the part of speech a word is used as - as mentioned above. Finally, semantic analysis involves training instances of word2vec on corpora divided by time/community before comparing the resulting vectors to find words that carry different meanings in different times/communities. Data used are news articles and comments published on the websites of Breitbart, The Atlantic, Mother Jones, and The Hill, in the period from 2015 to 2017. We believe that this approach may enable the early detection of individuals or communities drifting towards more radical views, especially those under the influence of demagogues with distinctive patterns of rhetoric.

Maddie Barrie


{border}
Michigan Technological University

Bio: I am an Environmental Engineering major in Houghton, Michigan, but I originally come from Las Vegas, Nevada. In Houghton I participate in all things winter because this year alone we’ve had 261 inches of snow (I have forgotten what the sun looks like). As a member of Engineers Without Borders, my team is working on a water distribution system for a town in Panama. In my research I’m interested in climate change mitigation strategies and their application to the most victimized and underdeveloped areas.

SFI MENTOR: Elizabeth Hobson (primary) and Scott E. Page (secondary)

TITLE: Diversity Bonuses in Humanitarian Engineering
ABSTRACT:
Diversity bonuses occur when a group with diverse cognitive skills works together inclusively on cognitive non-routine tasks. The ideal cognitive repertoire and type of inclusion differ depending on the task that needs to be completed. The goal of this project is to understand to what extent diversity bonuses occur in philanthropic engineering, specifically looking at projects done by Engineers Without Borders (EWB). Furthermore, the project will examine variances in cognitive repertoires and types of inclusion present in EWB projects using surveys sent out to the student international project teams of the organization. By examining the structure and composition of student chapters and comparing them with the successes and failings of their perspective projects, insights into the ideal configuration can be deduced.

Megan Bromley


{border}
Arizona State University

Bio: Megan Bromley is an incoming senior at Arizona State University, where she studies Astrobiology and Creative Writing. She is also active in the Sun Devil Marching Band as a piccolo player and is a poetry editor for Superstition Review-- a semiannual online literary magazine that attracts authors from around the world.
Mentor: Manfred Laubichler

Naika Dorilas


{border}
Florida Atlantic University

Bio: Hello, my name is Naika Dorilas. I am going into my senior year at Florida Atlantic University, and I am a mathematics major with a minor in computer science. I am very excited to learn and grow as a researcher in the SFI community because this is the field I want to dedicate my career to. Outside of academics, I volunteer at a horse ranch and with special needs children. I also really love Sunmi!

SFI MENTOR: Jacopo Grilli and Andy Rominger

ABSTRACT:
Talk Title: Inferring Characteristics of Interaction Matrices in an Ecological Context

In ecology, an interaction matrix describes how species in an ecosystem interact with one another and affect each others growth in a given model of population growth. In an attempt to find a method for inferring species interactions, many ecologists have tried to go from time series data on the populations of species to inferring the entire interaction matrix. In this paper, the objective is to infer parameters of the interaction matrix, given a set of data, so instead of inferring the entire matrix, we just want 3 key statistical properties about how the entries are drawn, the mean, variance and average diagonal elements d. So based on a specified ecosystem we are trying to find a method of inferring the statistical properties of the interaction matrix between different species based on a simple model of population fluctuation. We will use maximum likelihood, to predict the probability of observing our data, x given our parameters for the mean, variance and average diagonal elements. So what we expect from this maximization are the parameters that make the data, or fluctuations in population sizes of the species the most likely. The implications of this are that assuming this method is successful, any randomly generated matrix with the given statistical properties found could be used to describe how species in the data set used interact.

Nicolas Gort Freitas


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Minerva Schools at KGI

Bio: Nico is a rising senior at Minerva Schools. He studies natural and computational sciences, concentrating in biology and statistics respectively. Nico’s interests range from systems and synthetic biology to linguistics and information theory. He is passionate about discovering new ways to model interactions in biological systems and their evolution. In his free time Nico enjoys hiking and dancing tango, and is keen on learning languages and playing folk versions of rock songs.

SFI MENTORS: Chris Kempes, Artemy Kolchinsky.

Abstract

Energetic and informational trade-offs in biochemical networks

Cellular environments are complex and dynamic. The temporal and spatial concentration profiles of external molecules encode information that cells can harness through networks of interacting molecules, which allow them to learn about their environment. I will study the relationship between the architecture of biochemical networks and their efficiency in terms of energetic cost, transmission speed and accuracy. I will extend analytic models and build spatial simulations based on statistical mechanics, thermodynamics, information theory and network science. This work intends to unveil a framework to design more efficient synthetic biological circuits for different types of signaling tasks and cellular environments.

URL: Personal website.

Seung Yeon Han


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St. John's College

Bio: Hello, I'm Seung Yeon Han from St. John's College. You can call me Yona. I'm studying Liberal Arts in the college. Looking forward to meeting y'all! :)

SFI MENTOR: Mike Price (co-mentor), Andy Rominger (co-mentor)

ASPIRATIONAL ABSTRACT:
Provisional Title: Economic Inequality and Professional Diversity
At this point, the research aims to answer the question "Is there any correlation between economic inequality and professional diversity?"

Edward Huang


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University of California, Berkeley

Bio: Edward is a third-year applied mathematics student at UC Berkeley with a concentration in computer science. Previously, he worked on undergraduate research in evolutionary ecology and radiobiology. His current research interests include neural networks, signal processing, and modeling complex systems. Apart from his studies, Edward serves as an ambassador for the outdoor brand Klattermusen and leads instructional rock climbing and mountaineering trips with other students.

URL: www.eghuang.com

SFI MENTOR: David Wolpert

TALK TITLE: Connections between Turing machines and a formalization of knowledge

ABSTRACT: There has been much interest surrounding what properties about the universe can be derived from applying a mathematical formalization of inference and knowledge. Previous work by Wolpert used the theory of "inference devices" (IDs) to demonstrate bounds on knowledge in any physical universe that allows agents to hold information concerning that universe. We extend previous work on the capacity and limitations of IDs to infer physical variables. Our results impose conditions on the inference of singular functions and sets of functions. We pursue analogues between IDs and their relation to Turing machine theory and algorithmic information theory. In particular, we show that any Turing machine can be strongly inferred and build upon that to demonstrate incompressibility of strong inference complexity. This incompressibility result has led to several analogues between Kolmogorov complexity and inference complexity that suggest further similarities between algorithmic information theory and the theory of inference devices.


Alyssa Johnson


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New Mexico Highlands University

Bio: I'm originally from Santa Fe, NM, and now study Mathematics and Sociology at NMHU in Las Vegas, NM. In particular, I'm interested in the sociology of our built environment, and issues such as climate change resilience, environmental justice, and housing policy. I've also done non-profit work in sustainability and climate change education. Currently, I'm living in and restoring a historic home, I sing in NMHU's Madrigal Choir, and I enjoy reading works of fiction and of creative nonfiction.

SFI MENTOR: Chris Kempes (primary), Geoffrey West (secondary)

ABSTRACT:
Provisional Title: Scaling in Housing Availability and Affordability
When discussing housing affordability and access, we often refer to a community’s average income or median home price, without taking into account the actual distribution, complete with skew and outliers, of these measures. This project aims to create a new measure of availability of affordable housing by quantitatively comparing the shapes of the frequency distributions of income and housing cost. I will then explore whether this measure of availability exhibits a scaling relationship with respect to city size, the way that so many other urban attributes do.

Terran Mott


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Grinnell College

Bio: My name is Terran Mott, I am mathematics and economics major at Grinnell College from Golden, Colorado. In my free time, I run cross country for Grinnell and enjoy spending time in the mountains.

SFI MENTOR: David Feldman

ABSTRACT:
Title: Building Intuition in Higher Dimensions: A Combinatorial Approach to Higher Dimensional Fractal Geometry

Visual intuition is limited to three dimensions. Despite this blindfold, plenty of geometry lives comfortably in higher dimensions. In this paper, we develop an intuitive framework that explores the structure of N-dimensional cubes without visualization. We create a combinatorial system that categorizes the innards of hypercubes to understand how their material is assembled. By translating higher dimensional geometric challenges into combinatorial ones, we can analyze the higher dimensional analogs of common cube-originated fractals. We can also explore universal properties of hypercubes that hold in any dimension.

Talk: https://tinyurl.com/terran-mott-sfi-talk

Mike Neuder


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University of Colorado Boulder

Bio: I am a Computer Science and Math major from University of Colorado at Boulder. I spend most of my time working, climbing, playing chess and reading.
Personal url: https://github.com/michaelneuder

SFI MENTOR: Joshua Garland (primary), Andrew Berdahl (secondary)

ABSTRACT:
Provisional Title: Animal Tracking and Collective Behavior on UAV Video Data
Collective animal behavior is one of the canonical examples of Complex Systems, and with the immense development of machine learning, computer vision, and big data, we now have a new way to explore this phenomenon.

This project has two sequential parts. First, using video footage taken from drones flying above herds of caribou in the Yamal Peninsula in Russia, we seek to extract the trajectory data of each animal in the herd (which in itself is quite a difficult task). Once we have the trajectory data, there are several questions we seek to answer about the behavior of the group. The most fundamental aspect is the local interaction rules of the individuals in the group (e.g. individuals tend to repel each other at a close distance while attracting each other at a long distance to keep the herd together ). The followup and long-term goal of this project is to learn how animal herds behave in a resource gradient. We have the technology and capability to get extremely accurate data about the plant life of the land, which would allow us to create a resource map detailing where the plant life is concentrated. Overlaying the herd trajectory on this resource map would allow us to see the collection of animals interact with the gradient of the map and give us great insight into the capabilities of herds.

Oluwasunmisola Ojewumi


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Minerva Schools at KGI

Bio: Hi! I'm Oluwasunmisola, and I'm from Nigeria. I am a Freshman at Minerva Schools at KGI, and I intend to major in Natural Sciences with a minor in Social Sciences. I also enjoy writing, reading novels and craft making.

SFI MENTORS: Mirta Galesic and Mike Price

Title: The Effect of Heterogenous Susceptibility on the Speed of Disease Spread and the Final Epidemic Size

ABSTRACT:
An assumption that is most times made when designing epidemic models is that all people in a population have the same susceptibility to a disease, however, that assumption is not entirely accurate. People have different susceptibilities to a disease because of difference in genes, lifestyles etc. Nonetheless, not much work has been done to show how this heterogeneous susceptibility can affect the predictions made from disease models. Here we show that - in the SIR model - it is important to take heterogeneous susceptibility into account as it affects the final epidemic size of a disease, although it does not significantly affect the speed of the spread of a disease.


Alexander Ortiz


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Northwestern University

Bio: I'm a rising senior mathematics major at Northwestern interested in applications of math to problems in complexity science.

SFI Mentor: Cris Moore

Talk Title: A Summer of Manifolds

Abstract: Smooth manifold theory is a foundational theory for many branches of mathematics including differential geometry, mathematical physics, and differential topology. This summer I explored some fundamental notions of this theory, including smooth atlases, maps, tangent spaces, immersions, submersions, submanifolds, vector fields and flows, and Lie groups.

Jaeweon Shin


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Rice University

Mentors: David Wolpert (primary) and Mike Price (secondary)

ASPIRATIONAL ABSTRACT:
Provisional Title: Evidence for two stages in historical development
In 2017, a group of researchers (Turchin et al 2017) published a large database of historical records called Seshat. Using this dataset, the same researchers concluded that there is a major axis of social complexity, which represents how complex a society is at a given time period. By expanding on this analysis, we show that there are, in fact, two clusters within the major axis that displays different characteristics. Furthermore, we show that these two clusters could imply that all societies could be classified into largely two stages based on the relative complexities of their societies.

Sahana Subramanyam


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Azim Premji University

Bio: Sahana is majoring in Economics at Azim Premji University, India. She is currently researching how regressive social structures like caste emerge from certain micro-behaviours. Apart from her research, she enjoys illustrating.

SFI MENTOR: Sam Bowles, Wendy Carlin, Mike Price and Paul Hooper

ASPIRATIONAL ABSTRACT:
Provisional Title: Continuity and change in economics pedagogy: A computational linguistic analysis of textbooks
This project aimed to use the tools of computational linguistics, specifically LDA topic models to address a larger question of change and continuity in the discipline of economics, through the lens of textbooks as a proxy for pedagogical tools. Another question that was also explored, which motivated the research is asking whether CORE can be considered a paradigm setting text, from the Kuhnian definition of a paradigm, and if so what makes it different from other modern textbooks.

Keming Zhang


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St. John's College

Bio: I am a junior at St. John’s College and study in the Great Books Program. I am interested in the application of mathematical and physical methods to social sciences. I am also quite interested in education and enjoy volunteering as a tutor.

Mentor: Sid Redner

REU Alumni Fellows

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Cate Heine - Centre College to MIT

Bio: My name is Cate and I'm finishing up as a math major at Centre College in Danville, Kentucky. I like apples, mountains, crossword puzzles, and hanging out with my dog. I'm excited to begin pursuing a PhD at MIT in the fall in Social & Engineering Systems, using quantitative methods to analyze social systems. I'm especially fascinated by cities--the way that they change, grow, and affect peoples' lives.

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Xiaofan Liang (left in photo) - Minerva Schools at KGI

Bio: I am a junior at Minerva Schools at KGI with a background in both Computer Science and Sociology. I am passionate about computational social science and the social impacts of technologies on minorities. I work on the topic of Institutional Complexity and Efficiency - How Universities Scale with Chris and Marion as my mentors and Ryan as my project partner for almost a year now, starting from my REU experience last summer. Despite the love and hate, sweat and tears that involved, I find researching analogous patterns across social, biological and physical system fascinating and my next target are to model immigration flow patterns and see how its dynamics is different from data or other types of agents. Besides academics, I love playing basketball and currently work on a coding education software for a Hong Kong NGO serving migrant youth, and design unplug card games to teach people basic coding concepts.

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Ryan Taylor (left in photo) - Arizona State University

Bio: My name is Ryan Taylor. I entered the sustainability major at Arizona State University to study important global problems, which led me to complexity science and its overlapping set of universal ones. I sense that complex systems approaches will make much-needed theoretical contributions to politics and economics, not just in academia but in practice. Populism here and abroad makes me believe that big changes are possible by 2025, let alone 2050. So while all this is happening, I'm trying to ask helpful questions and avoid taking myself too seriously. I'm going into my senior year. I was an REU last summer! They're letting me come back to work with Xiaofan Liang and our awesome team of mentors on a project about university scaling. I grew up in New Mexico and love it here. Looking forward to meeting everybody.