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Description
AARP estimates that 90% of seniors wish to remain in their homes during retirement. Seniors need assistance as they age, historically they have received assistance from either family members, nursing homes, or Continuing Care Retirement Communities. For seniors not wanting any of these options, there has been very few alternatives. Now, the emergence of the continuing care at home program is providing hope for a different method of elder care moving forward. CCaH programs offer services such as: skilled nursing care, care coordination, emergency response systems, aid with personal and health care, and transportation. Such services allow seniors to continue to live in their own home with assistance as their health deteriorates over time. Currently, only 30 CCaH programs exist. With the growth of the elderly population in the coming years, this model seems poised for growth.
ContributorsSturm, Brendan (Author) / Milovanovic, Jelena (Thesis director) / Hassett, Matthew (Committee member) / School of Mathematical and Statistical Sciences (Contributor) / Economics Program in CLAS (Contributor) / Barrett, The Honors College (Contributor)
Created2019-05
Description
Since Abdulkadiroglu and Sonmez’s influential paper in 2003 that
merges school choice and mechanism design, research in the rapidly
growing school choice literature has been mainly focused on the
design of mechanisms with desirable properties or more realistic
assumptions. However, lab experiments often show that subjects do
not report preferences according to the experimenters’ expectation,
and the experiments rarely provide an in-depth analysis of why the
subjects behave in such confounding ways. My thesis formulates
preference reporting in school choice as a game by incorporating a
payoff schedule and proposes mixed strategy Nash equilibrium as a
way to predict preference reporting.
merges school choice and mechanism design, research in the rapidly
growing school choice literature has been mainly focused on the
design of mechanisms with desirable properties or more realistic
assumptions. However, lab experiments often show that subjects do
not report preferences according to the experimenters’ expectation,
and the experiments rarely provide an in-depth analysis of why the
subjects behave in such confounding ways. My thesis formulates
preference reporting in school choice as a game by incorporating a
payoff schedule and proposes mixed strategy Nash equilibrium as a
way to predict preference reporting.
ContributorsHsieh, Yee-Yang (Author) / Foster, William (Thesis director) / Douglas, Kacey (Committee member) / Economics Program in CLAS (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2019-05
Description
In this paper, we study the prime factorizations of numbers slightly larger than the factorial function. While these are closely related to the factorial prime, they have more inherent structure, which allows for explicit results as of yet not established on factorial prime. Case in point, the main result of this paper is that these numbers, which are described in concrete terms below, cannot be prime powers outside of a handful of small cases; this is a generalization of a classical result stating they cannot be primes. Minor explicit results and heuristic analysis are then given to further characterize the set.
ContributorsLawson, Liam John (Author) / Jones, John (Thesis director) / Childress, Nancy (Committee member) / School of Mathematical and Statistical Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2019-12
Description
Schools across the United States have been subject to a rise in violent incidents since 2013. Reading about school shootings, racist acts, and violent demonstrations in schools has unfortunately become commonplace, which is contributing to inequitable outcomes for some student populations. These equity gaps have triggered demands for more equitable solutions in schools, a responsibility that falls on the shoulders of stakeholders like school governing boards, principals, and parents.
Chandler Unified School District (CUSD), a large school system in Arizona that serves 45,000 students from preschool through high school, has been unable to escape similar structural and frictional inequities within its schools. One instance of a racially charged student performance at Santan Middle School motivated CUSD to take a more immediate look at equity in the district. It is during this response that our team of New Venture Group consultants engaged with Matt Strom, Assistant Superintendent of CUSD, in analyzing the important question of “how CUSD can take steps towards closing equity gaps within the district?”
CUSD defines an equity gap as any difference in student opportunity, achievement, discipline, attendance, etc. contributable to a student’s ethnicity, gender, or socioeconomic status. Currently, certain student populations in CUSD perform vastly different academically and receive different opportunities within schools, but as was our problem statement, CUSD is aiming to reduce (and eventually close) these gaps.
Our team approached this problem in three phases: (1) diagnosis, (2) solution creation, and (3) prevention. In phase one, we created a dashboard to help principals easily and visually identify gaps by toggling parameters on the dashboard. Phase two focused on the generation of recommendations for closing gaps. To achieve this goal, a knowledge of successful gap-closing strategies will be paired with the dashboard. In our final phase, the team of consultants created a principal scorecard to ensure equity remains a priority for principals.
Chandler Unified School District (CUSD), a large school system in Arizona that serves 45,000 students from preschool through high school, has been unable to escape similar structural and frictional inequities within its schools. One instance of a racially charged student performance at Santan Middle School motivated CUSD to take a more immediate look at equity in the district. It is during this response that our team of New Venture Group consultants engaged with Matt Strom, Assistant Superintendent of CUSD, in analyzing the important question of “how CUSD can take steps towards closing equity gaps within the district?”
CUSD defines an equity gap as any difference in student opportunity, achievement, discipline, attendance, etc. contributable to a student’s ethnicity, gender, or socioeconomic status. Currently, certain student populations in CUSD perform vastly different academically and receive different opportunities within schools, but as was our problem statement, CUSD is aiming to reduce (and eventually close) these gaps.
Our team approached this problem in three phases: (1) diagnosis, (2) solution creation, and (3) prevention. In phase one, we created a dashboard to help principals easily and visually identify gaps by toggling parameters on the dashboard. Phase two focused on the generation of recommendations for closing gaps. To achieve this goal, a knowledge of successful gap-closing strategies will be paired with the dashboard. In our final phase, the team of consultants created a principal scorecard to ensure equity remains a priority for principals.
ContributorsFerrara, Justin Christopher (Co-author) / Lee, Cynthia (Co-author) / Weston, Joshua (Co-author) / Licon, Wendell (Thesis director) / Strom, Matthew (Committee member) / Department of Economics (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Department of Information Systems (Contributor) / Department of Finance (Contributor) / Barrett, The Honors College (Contributor)
Created2019-12
Description
This paper presents a study done to gain knowledge on the communication of an object’s relative 3-dimensional position in relation to individuals who are visually impaired and blind. The HapBack, a continuation of the HaptWrap V1.0 (Duarte et al., 2018), focused on the perception of objects and their distances in 3-dimensional space using haptic communication. The HapBack is a device that consists of two elastic bands wrapped horizontally secured around the user’s torso and two backpack straps secured along the user’s back. The backpack straps are embedded with 10 vibrotactile motors evenly positioned along the spine. This device is designed to provide a wearable interface for blind and visually impaired individuals in order to understand how the position of objects in 3-dimensional space are perceived through haptic communication. We were able to analyze the accuracy of the HapBack device through three vectors (1) Two different modes of vibration – absolute and relative (2) the location of the vibrotactile motors when in absolute mode (3) and the location of the vibrotactile motors when in relative mode. The results provided support that the HapBack provided vibrotactile patterns that were intuitively mapped to distances represented in the study. We were able to gain a better understanding on how distance can be perceived through haptic communication in individuals who are blind through analyzing the intuitiveness of the vibro-tactile patterns and the accuracy of the user’s responses.
ContributorsLow, Allison Xin Ming (Author) / McDaniel, Troy (Thesis director) / Duarte, Bryan (Committee member) / School of Mathematical and Statistical Sciences (Contributor) / Computer Science and Engineering Program (Contributor, Contributor) / Barrett, The Honors College (Contributor)
Created2019-12
Description
This paper presents a variable damping controller that can be implemented into wearable and exoskeleton robots. The variable damping controller functions by providing different levels of robotic damping from negative to positive to the coupled human-robot system. The wearable ankle robot was used to test this control strategy in the different directions of motion. The range of damping applied was selected based on the known inherent damping of the human ankle, ensuring that the coupled system became positively damped, and therefore stable. Human experiments were performed to understand and quantify the effects of the variable damping controller on the human user. Within the study, the human subjects performed a target reaching exercise while the ankle robot provided the system with constant positive, constant negative, or variable damping. These three damping conditions could then be compared to analyze the performance of the system. The following performance measures were selected: maximum speed to quantify agility, maximum overshoot to quantify stability, and muscle activation to quantify effort required by the human user. Maximum speed was found to be statistically the same in the variable damping controller and the negative damping condition and to be increased from positive damping controller to variable damping condition by 57.9%, demonstrating the agility of the system. Maximum overshoot was found to significantly decrease overshoot from the negative damping condition to the variable damping controller by 39.6%, demonstrating an improvement in system stability with the variable damping controller. Muscle activation results showed that the variable damping controller required less effort than the positive damping condition, evidenced by the decreased muscle activation of 23.8%. Overall, the study demonstrated that a variable damping controller can balance the trade-off between agility and stability in human-robot interactions and therefore has many practical implications.
ContributorsArnold, James Michael (Author) / Lee, Hyunglae (Thesis director) / Yong, Sze Zheng (Committee member) / Mechanical and Aerospace Engineering Program (Contributor) / School for Engineering of Matter,Transport & Enrgy (Contributor) / Barrett, The Honors College (Contributor)
Created2019-12
Description
A heterogeneous team of robots working in symbiosis can maximize their strengths while complementing each other’s weaknesses. These simple robots can achieve more working together than they could on their own but cost less than a single robot with the same combination of capabilities. This project aims to validate the symbiotic relationship of an Unmanned Aerial Vehicle (UAV) and an Unmanned Ground Vehicle (UGV) with a physical implementation of a heterogenous team of robots and a demonstration of their capabilities. This paper details the selection of robots, the design of the physical coupling mechanism, and the design of the autonomous controls. An experiment was performed to assess the capabilities of the robots according to four performance criteria. The UGV must navigate a space while the UAV follows. The UAV must couple with the UGV. The UAV must lift the UGV over an obstacle. The UGV must navigate the space while carrying the UAV.
ContributorsBreaux, Chris (Author) / Artemiadis, Panagiotis (Thesis director) / Lee, Hyunglae (Committee member) / Mechanical and Aerospace Engineering Program (Contributor) / Barrett, The Honors College (Contributor)
Created2019-12
Description
We consider programmable matter as a collection of simple computational elements (or particles) that self-organize to solve system-wide problems of movement, configuration, and coordination. Here, we focus on the compression problem, in which the particle system gathers as tightly together as possible, as in a sphere or its equivalent in the presence of some underlying geometry. Within this model a configuration of particles can be represented as a unique closed self-avoiding walk on the triangular lattice. In this paper we will examine the bias parameter of a Markov chain based algorithm that solves the compression problem under the geometric amoebot model, for particle systems that begin in a connected configuration with no holes. This bias parameter, $\lambda$, determines the behavior of the algorithm. It has been shown that for $\lambda > 2+\sqrt{2}$, with all but exponentially small probability, the algorithm achieves compression. Additionally the same algorithm can be used for expansion for small values of $\lambda$; in particular, for all $0 < \lambda < \sqrt{\tau}$, where $\lim_{n\to\infty} {(p_n)^{1
}}=\tau$. This research will focus on improving approximations on the lower bound of $\tau$. Toward this end we will examine algorithmic enumeration, and series analysis for self-avoiding polygons.
}}=\tau$. This research will focus on improving approximations on the lower bound of $\tau$. Toward this end we will examine algorithmic enumeration, and series analysis for self-avoiding polygons.
ContributorsLough, Kevin James (Author) / Richa, Andrea (Thesis director) / Fishel, Susanna (Committee member) / School of Mathematical and Statistical Sciences (Contributor, Contributor) / Computer Science and Engineering Program (Contributor) / Barrett, The Honors College (Contributor)
Created2019-05
Description
The dynamics of a stably and thermally stratified, two dimensional fluid-filled cavity are the subject of numerical study. When gravity is orthogonal to the endwalls, a closed form for a steady state solution with trivial flow may be obtained. However, as soon as the cavity is tilted the flow becomes nontrivial. Previous studies have investigated when this tilt angle is 180 degrees (Rayleigh-Bénard convection), 90 degrees, and 0 degrees, or have done a sweep while solving the steady-state equations. When buoyancy is sufficiently weak the flow is stable and steady up to 90 degrees of tilt. Above a certain level of buoyancy, as measured by the temperature difference between the top and bottom walls, the flow becomes unsteady above a tilt angle less than 90 degrees. Specifically, In this study we examine the relationship between the critical tilt angle and the buoyancy level at the onset of unsteadiness, as well as the dynamical mechanisms by which it occurs.
ContributorsGrayer, Hezekiah Villarin (Author) / Lopez, Juan M. (Thesis director) / Welfert, Bruno D. (Committee member) / Shen, Jie (Committee member) / Mechanical and Aerospace Engineering Program (Contributor) / School of Mathematical and Statistical Sciences (Contributor) / Barrett, The Honors College (Contributor)
Created2019-05
Description
A defense-by-randomization framework is proposed as an effective defense mechanism against different types of adversarial attacks on neural networks. Experiments were conducted by selecting a combination of differently constructed image classification neural networks to observe which combinations applied to this framework were most effective in maximizing classification accuracy. Furthermore, the reasons why particular combinations were more effective than others is explored.
ContributorsMazboudi, Yassine Ahmad (Author) / Yang, Yezhou (Thesis director) / Ren, Yi (Committee member) / School of Mathematical and Statistical Sciences (Contributor) / Economics Program in CLAS (Contributor) / Barrett, The Honors College (Contributor)
Created2019-05