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CSUMS/Gauss this report Program Information P.1 GAUSS Participants P.2,3

Faculty Mentors

GAUSS Projects P.4 Publications P.5

Dr. Mubarak Shah

Academic Benefits P.6

Trustee Chair Professor & Director, Center for Research in Computer Vision Dr. Xin Li Graduate Coordinator & Professor Mathematics Dr. Niels Lobo

Computational Science Training for Undergrads in the Mathematical Sciences (CSUMS) The Department of Mathematics headed a

Each year, a cohort of about ten students

project in Computational Science Training for

studied and worked together in this yearlong

Undergraduates in Mathematical Sciences

project. Carefully designed coursework and

Dr. Piotr Mikusinski

(CSUMS) funded by the National Science

guided research activities provide the cohort

Chair & Professor

Foundation which is affectionately referred to

appropriate level of background knowledge

as GAUSS after the German mathematician

and motivation for independent scientific ex-

Johann Carl Friedrich Gauss. GAUSS high-

ploration and investigation in computational

Assistant Professor

lighted the exciting applications in Computer

sciences, in particular, in Computer Vision

Mathematics

Vision and Imaging Science as motivations

and Image Sciences.

Associate Professor Computer Science

Mathematics Dr. Brian Moore

for the study of advanced mathematical theoDr. Robert Muise

ry in computation.

All students chose their research topics after their first semester with GAUSS. Using their

Lockheed Martin

GAUSS was a yearlong undergraduate re-

mathematical and computational skills, the

Dr. Zuhair Nashed

search program where each student selected

students worked on some cutting edge prob-

Professor

to participate was supported by a $10,000

lems in imaging science, computer vision in

stipend, room and board during the summer,

particular, with applications in homeland se-

as well as a laptop computer. One goal of this

curity, transportation, biology, finance, and

Associate Professor

program was to enhance computational as-

chemistry. They also participated in graduate

Mathematics

pects of education and training of undergrad-

research activities in the world renowned

uates in mathematical sciences by emphasiz-

Computer Vision Lab at the University of Cen-

ing both mathematical theory and computa-

tral Florida.

Mathematics Dr. Yuanwei Qi

Dr. Constance Schober Professor Mathematics

tional skills. Another goal was to better prepare students to pursue careers and graduate

Dr. Jiongmin Yong

study

in

fields

that

require

integrated

Professor

strengths in computation and the mathemati-

Mathematics

cal sciences.


2009 Cohort Highlights  Christopher Huff defended his

GAUSS Particip

M.S. thesis on compressive sensing and its application in image and video processing. Huff began working on this topic as part of his research activity with the GAUSS program .



Leon Guerrero was accepted into a highly prestigious summer research program at CalTech in 2010.

 Huff and Norena each has one refereed research publication based on their research in

2009

From le  to right:  Dr. Xin Li, Dr. Robert Muise, Dr. Mubarak Shah, Devina Shiwlochan,                         Dr. Connie Schober, Laura Norena, Leon Guerrero, Dr. Piotr Mikusinski, Maria Villareal, Christopher Huff,  Maria Boak, Johann Veras, Steven Schraudner, Dr. Niels Lobo 

GAUSS project.

Absent:  Tyler Gomez, David Karlin, Eric Robinet 

 Huff, Boak, Guerrero, Norena, and Gomez continued their study in mathematics at graduate school; Shiwlochan went to a pre-med program

2011 Cohort Highlights  Eric Niederman and David Perlaza have been accepted into the Ph.D. program at UCF and were offered a Graduate Teaching Assistantship.

 Toby Boas, was accepted in the Research Experience for Undergraduates (REU) program at Texas State University

2011 From le  to right:  Edward Romero, Eric Niederman, David Perlaza, Casey Van Buren, Michael Bird, Toby  Boas, Ma hew Su nger, Deveron Crawford, Dr. Mubarak Shah, Dr. Bob Muise, Dr. Alvero Islas, Ka e  Mercier, Dr. Piotr Mikusinski, Dr. Niels Lobo, Dr. Connie Schober, Dr. Brian Moore, Aritra Du a, Dr. Xin Li 

in summer 2012.

 Boas, Mercier, and Niederman have a joint paper submitted for publication.

Absent:  Zachary Medina, Brandon Reeves, Ma hew Russo 


ants

2010 Cohort Highlights  Kyle Reger has defended his M.S. thesis in nonlinear dynamics.

 Jie Ling Liang was awarded the UCF Board of Trustee’s fellowship and the UF Graduate fellowship both in the amount of $25,000 per year for four years plus tuition and health insurance for her graduate study. She has decided to pursue her Ph.D. at UCF.

2010

 Jennifer Nealy was awarded the best student paper award at the

From le  to right: Dr. Niels Lobo, Enrique Or z, Dr. Brian Moore, Kyle Reger, Dr. Mubarak Shah,      Robert Remington, Dr. Connie Schober, James Mark Wilson, Miller Hederi, Jennifer Nealy, Zachary  Merri , Jie Ling Liang, Kevin Hill, Talon Ward, Chris Huff, Dr. Jiongmin Yong, Dr. Xin Li  Absent: Bruce Cur s Kinsey 

2012 SPIE conference on image and video analysis. She was accepted into a Ph.D. program in computational mathematics with fellowship in 2011.

 Lang and Nealy each have a refereed research publication

Graduate Program Studies Many GAUSS participants went on to pursue their graduate degrees where both math and computational skills are required:  Maria Boak (Applied Math, UCF)  Tyler Gomez (Math, UCF)

2012

 Leon Guerrero (Applied Math, UCF)

From le  to right: Dr. Niels Lobo, Dr. Mubarak Shah, Miranda Craig, Dr. Brian Moore, Nicholas        Kaufman, Dr. Xin Li, Vanessa Lepe, Christopher Peterman, Leah For er, Aritra Du a  Absent: Cynthia Beltran 

 Jie Liang (Math, UCF)  Jennifer Nealy (Applied Math, Colorado School of Mines)  Laura Norena (Computational Math, UCF)  Devina Shiwlochan (Medicine, St. George’s University)  Chris Huff (Applied Math, UCF)  Kyle Reper (Applied Math, UCF)  Eric Niederman (Applied Math, UCF)  David Perlaza (Applied Math, UCF)


GAUSS Project News Participant activities and accomplishments  Former

GAUSS Participants Jie

terman Award) using single cam-

and presented papers in Cha-Cha

The GAUSS program invited sev-

Liang (2010), Toby Boas (2011),

era to multiple cameras setting and

Days Workshop in Charleston, SC.

eral distinguished lecturers to give

and

(2011)

employed nonlinear optimization

The workshop was a three day get-

talks and to visit with both student

UCF

methods, in particular, the efficient

together of young scientists with an

participants and faculty mentors to

Showcase of Undergraduate Re-

L1 minimization algorithms in his

interest in applied mathematical sci-

discuss ongoing research.

search.

approach.

ences.

 On

Matthew

participated in

Suttinger the 2012

Congratulations to Jie

who received second prize in the Physical Sciences category!

 Jennifer



Leon Guerrero (2009) won 1st place in the 2012 UCF Showcase

Nealy (2010) was offered

of Undergraduate Research in the

a fellowship for her graduate study

Social Sciences category for his

at the Colorado School of Mines in

work on “A Differentiation be-

Computational Mathematics in Fall

tween Bayesian Updating and

2011.

Model-Free

 Christopher

Huff (2009) has been

offered a job at Lockheed Martin.

Reinforcement

Learning in Human Choice Under Uncertainty”.

April 14, 2009, Dr. Ronald

Coiffman

“It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment” Carl Friedrich Gauss

of

Yale

University

presented a talk titled “Wavelets and Applications: Past and Future”. He spent a whole afternoon attending GAUSS student presentations and provided his suggestions.

 On

August 6, 2011 Dr. Justin

Romberg of Georgia Institute of

The path leading to his employ-

Gauss 2010 students Miller Hederi,

ment started with his GAUSS re-

Jie Liang, Zachary Merritt, Jennifer

Introduction to Compressed

search project (Candes, NSF Wa-

Nealy and Talon Ward participated

Sensing” and he gave students

Technology

presented

“An

feedback on their projects.

GAUSS Presentations @ CSUMS Student Research Conference The CSUMS Student Research Conference is designed to provide an opportunity for students in CSUMS projects around the country to present results of their research.

August 2-5, 2009, St. Paul, MN Leon Guerrero—”Modeling and optimization of Some Behavioral Portfolio Selection Problems” Maria Boak—”Studying Optical Rogues Waves” Tyler Gomez—”Track Mitochondria Movement” Christopher Huff—”Distributive Compressive Imaging” Laura Norena—”Nearly early structure-preserving algorithms for perturbed multi-Symplectic PDE’s”

July 25-28, 2010, St. Paul, MN Jennifer Nealy—”Object Classification using Local Subspace projection” Jie Liang & James Mark Wilson—”Disguised Face Recognition: A Sparse Representation with Reweighted Algorithms Talon Ward & Zachary Merritt—”Correlation Tracking with Compressive Sensing”

 On

October 27, 2011, Dr. Law-

rence Carin of Duke University lectured on “Exploiting LowDimensional Structure in Image and Video Analysis”.

 Dr.

Takeo Kanade of the Robot-

ics Institute at Carnegie Mellon University presented a talk on “First Person Vision” on November 17, 2011 when he also met with GAUSS participants and gave a career journey talk.

 Dr.

Thomas Huang of the Uni-

versity of Illinois presented a talk

July 31-August 3, 2011, St. Paul, MN

titled “Human Computer Intel-

Matthew Suttinger—”Compressive Sensing Imaging Utilizing Convolution in the Fourier Plane”

ligent Interaction” as well as a

Toby Boas, Kathryn Mercier & Eric Niederman—”An Efficient Algorithm to Extract the Sparse and Low Rank Components of a Matrix”

career journey talk on March 22,

Michael Bird & David Perlaza—”Connection Between Data and Kernel Choice in the Context of SVMs”

2012.


Publications Preprints

Published or accepted  B.E.

Moore, L. Norena, and

C.M.

Schober,



and

“Conformal

Shah,

“Fast

Sparse Representation-Based

metric Integration for Damped

Classification for Real-World

Hamiltonian PDEs”, Journal of

Face Recognition on Face-

Computational Physics, Vol 232,

book”, ICDMA 2012.



 Constance Strawn,

Schober and Maria “Optical

 Toby man,

“Shrinkage

“Disguised Face Recognition

Approximation”, (2012). Sub-

Muise, “Object Classification

with Reweighted Algorithms,”

mitted.

Using Local Subspace projec-

Undergraduate Research Journal, UCF, Vol.6: 26-32, 2012

tion”, Proceedings SPIE 8049, 804902 (2011)

 Christopher Muise,



Huff and Robert

“Wide-area

Surveil-

Xin Li and Mubarak Shah, “Teaching Numerical

Undergraduates Methods

Image

Using Distributed Compres-

(ICEME 2010).

Imaging”,

 Leon

Analysis”,

Using

Behavioral Portfolio Selection Problems”, (2011). Preprint.

 Kevin Boas, Xin Li, Katie Mer-

linearly correlated markets”,

Fast Implementation of Matrix

(2011). Preprint.

Sparse and Low Rank Decompositions”, (2012). Preprint.

 Robert

accepted

Xin Li, Mubarak Shah, Niels



Lobo, “A CSUMS Project at UCF”, (2010). Conference Proceeding, Published Collection:

“Probability of profit”, (2011). Preprint.

on

and

“my GAUSS research project is truly a collaborative effort where my mentor guided me not only to learning but also to many important research skills that I hadn’t previously learned.”



“Because of GAUSS I have been able to handle more advanced topics, have a better spirit for research, handle public presentations without worry, network effectively with peers and professors, take more graduate

Proceedings of 2010 Internation-

Technology

Remington and J. Yong,

Proceedings

What Student Participants Say About GAUSS

Conference

Hill and Jiongmin Yong,

“The existence of arbitrage in

SPIE 8055, 80550D (2011)

al

Guerrero and Jiongmin

Yong, “Optimization of Some

cier, and Eric Niederman, “A

lance with Multiple Cameras

sive

 Toby

print.

Function

Robert

and

tery Behind It”, (2011). Pre-

Boas, Aritra Dutta, Xin Li,

Katie Mercier, and Eric Nieder-

Li and Devina Schiwlochan,

“Diffusion Maps and the Mys-

Waves”, (2011). Submitted

and Its Applications in Matrix

Nealy

 Xin

Rogue

Jie Ling Liang and Xin Li,

 Jennifer



Mubarak

Conservation Laws and Geo-

No 1, pp 214-233, 2013.



Enrique Ortiz, Jie Liang, Xin Li

classes, define my field of interest for graduate school, be more resourceful and effective to deal better with

Education

advanced topics, and even be more competitive to consider top schools for graduate school.”

Computer

(ICETC); Bibliography: Volume



“I learned so much during the program and it opened so many doors for me”

1, pp 374-378.



“In the beginning, I was afraid to talk to professors… Having the opportunity for the presentation and being

Robert

Muise

and

able to talk to students and faculty members was really important. Gradually in the summer, I started to de-

Matthew

velop some skin and was beginning to feel comfortable expressing myself. “

Suttinger, “Image Reconstruction and Target Acquisition through Compressive Sensing”, SPIE 2012.



“Teaching me the tools to do research in computational mathematics. This is very much in demand.”


4000 Central Florida Blvd. Orlando, FL 32816-2365 www.crcv.ucf.edu

Academic Benefits  Full year guided course work—New and revised courses are specially designed for the students in the spring and fall semesters to help them master the

Curricular Changes Caused by or Associated with GAUSS 

added into the curriculum as MAP 4371, Numerical Methods for Differ-

fundamentals of computational methods.

ential Equations.

 Exciting research activities—Group work and team activities are integrated in the research activities. Faculty mentors present many interesting topics for the



the regular offering (MAP 4384) for math majors with concentration in

 Publish research papers—Participants are trained to write up their research

engineering, physics, economics, and computational math.

results and present them to different audiences. Many participants have or are



Math Modeling I was completely revised for the GAUSS project (with computational component and focusing on the image analysis applica-

 Attend professional conferences—Attendance at professional meetings gives

tions) and the enrollment for the courses grown from one section of less

undergrads exposure to well-known researchers in the field, provides an oppor-

than 20 students to two sections with 30-40 students in each section.

tunity to see polished and less-polished research presentations, and provides an opportunity to assimilate the latest research results. All of the CSUMS par-

As a part of the GAUSS project, we developed a new course Computational Methods for Computational Sciences and the course is now part of

students to choose from.

preparing to have publications on their research in the GAUSS project.

Math Modeling II originally designed for the GAUSS project has been



Through its advertisement and recruitment as well as its well publicized

ticipants attend at least one professional meeting to present their research

research activities, the GAUSS project (and its courses) is at least par-

results.

tially responsible for the recent increase in enrollment in the mathemat-

 Prepare for graduate school—Research experience is always a plus when applying to graduate programs. Interaction with faculty mentors allow them to closely observe students learning and creative abilities and enable them to write more specifics letters of recommendation. The GAUSS project also provides study materials for preparation of GRE and guidance for the application to graduate schools.

ics major at UCF. This impact goes beyond the undergraduate program: A graduate level course has been developed after the model of Math Modeling I for the Industrial Mathematics track in the MS degree program.


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