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Research Overview
My primary research interest is concerned with understanding of patterns in high-dimensional data sets geometrically, which translates into a myriad of theoretical, algorithmic, and computational analysis of massive data sets from a geometric perspective. Current projects include:- investigate ways to enhance student learning outcomes or increase student success.
Documents
- Master's Thesis [PDF, 651 KB]: Application of Classification with Tangent Distance to Face Recognition under Varying Illumination and Pose Conditions
- Ph.D. Dissertation [PDF, 4.42 MB]: Classication on the Grassmannians: Theory and Applications
- Publications
- Talks
Computing Resources
The main computational engine in the Department of Mathematics and Statistics is a 8 quad-core Intel Processor Blade Cluster. The cluster Pyramid (pyramid.cnsm.csulb.edu) may be accessed remotely. Please contact me via email if you are interested in obtaining an account on Pyramid to run large scale computations.
- (Win) A tutorial [PDF, 772 KB] to access Pyramid via Putty with Cygwin GUI interface
- (Mac) A tutorial [PDF, 165 KB] to access Pyramid via terminal
- The cluster is equiped with 2 versions of MATLAB (2008 and 2010), here is an instruction for running the latest version (2010b) of MATALB on the cluster.
Research Students
If you are a student at CSULB and interested in starting research, feel free to come and talk to me about how to start one.
Graduate Students
Luke Wukmer
- Currently: Mathematics instructor at CSULB
- Thesis: Strict Multiscale Frangi Prefiltering For Segmentation: Towards an Automated Placental Chorionic Surface Vascular Network Extraction [PDF, 57.4 MB] (Spring 2019)
- Email: lwukmer@gmail.com
Diana Gonzalez
- Currently: Mathematics instructor at CSULB
- Thesis: Matching Students With Support Services Through a Constrained Linear Optimization Model [PDF, 659 KB] (Summer 2018)
- Email: dee.gonzalez912@gmail.com
Hike Hambarsoomian
- Currently: SEO Analyst , Ticketmaster
- Thesis: Classification Of Placental Chorionic Surface Vasculature Network Features Using Machine Learning Techniques [PDF, 888 KB] (Summer 2017)
- Email: hhambars@gmail.com
Justin Sunu
- Currently: Ph.D student in Computational Science at Claremont Graduate University jointly with San Diego State University
- Thesis: Applications of K-means and Spectral Clustering to Hyperspectral Video Sequences [PDF, 4.65 MB] (Summer 2014)
- Email: justinsunu@gmail.com
Torin Gerhart
- Currently: microscopy image analyst at Keck Medicine of USC, Western Digital Corporation
- Thesis: Convex Optimization Techniques and Their Applications to Hyperspectral Video Processing [PDF, 26.3 MB] (Fall 2013)
- Email: toringerhart@gmail.com
Nen Huynh (2013 Outstanding Thesis Award @ CNSM, Department Honors)
- Currently: full-time engineer at L3 Interstate Electronics Corporation
- Thesis: A Filter Bank Approach to Automate Vessel Extraction With Applications [PDF, 39.5 MB] (spring 2013)
- Email: nvhuynh16@gmail.com
Rodrigo Farnham
- Currently: software engineer at Snapchat, Inc. (formally full-time software engineer at Facebook)
- Thesis: Processing and Inpainting of Sparse Data with Applications in Atomic Force Microscopy Imaging [PDF, 2.53MB] (Summer 2012)
- Email: rfarnham@gmail.com
Amy Mulgrew
- Currently: math and computer science teacher at Santa Catalina School
- Thesis: A Geometric Approach to Study the Relationship Between Maternal and Fetal Characteristics and the Shape of Placental Surfaces [PDF, 4.02 MB] (Summer 2011)
- Email: amycora@gmail.com
Jose Pacheco
- Currently: full-time mathematician at the Naval Air Warfare Center Weapons Division
- Thesis: A Comparative Study for the Handwritten Digit Recognition Problem [PDF, 60 3KB] (Spring 2011)
- Email: sgacho@gmail.com
Man Vu
- Currently: operations research analyst at Naval Surface Warfare Center, Port Hueneme Division, Seattle, WA (formally a full-time mathematics Instructor at North Seattle Community College)
- Thesis: Accuracy and Efficiency of Pairwise Alignment Algorithms [PDF, 421 KB] (Spring 2010)
- Email: mhvu@hotmail.com
Undergraduate Students
Cyna Nguyen
- Currently:
- Thesis: An Analysis of Eligibility In Relation to Successful Completion of Pre-Calculus Mathematics at California State University Long Beach [PDF, KB] (Spring 2022)
- Email: c.nguyen12341@gmail.com
Kirsten Miller
- Currently: Data Scientist at Northrop Grumman
- Thesis: Analysis of Algebra Placement at California State University Long Beach [PDF, 648 KB] (Summer 2018)
- Email: millerk2196@gmail.com
Julia Murphy
- Currently: Lead Developer and Project Manager at KDA Consulting
- Thesis: Student Performance and Attitudes in a Flipped Linear Algebra Course [PDF, 1.35 MB] (Spring 2016)
- Email: juliarosemurphy@gmail.com
Jonathan Guzman
- Currently: Ph.D. student in Applied and Interdisciplinary Mathematics at University of Michigan
- Thesis: A Principal Decision: The Case of Lending Club [PDF, 869 KB] (Spring 2015)
- Email: jonrguz@gmail.com
Marilyn Vazquez (2013 Robert D. Rhodes Award)
- Currently: Post-doc at ICERM
- Thesis: Multi-scale Vessel Extraction Using Curvilinear Filter Matching Applied to Digital Photographs of Human Placentas [PDF, 12.3 MB] (Spring 2013)
- Email: vazquez.marilyn.y@gmail.com