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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:

  1. develop new techniques of image processing and pattern recognition to study the relationship between mathematical features of human placentas and health risks in young adults [in collaboration with Dr. Carolyn Salafia at Placental Analytics, LLC];
  2. develop mathematical models for understanding and analyzing large data sets such as hyperspectral images and financial information.
  3. investigate ways to enhance student learning outcomes.

Invited Talks

  1. Discriminating Placentas of Increased Risk for Autism with Chorionic Surface Vascular Network Features [PDF, 45.7 MB], AWM Research Symposium - Special Session on Shape Modeling and Applications (WiSh), University of California State University, Los Angeles, Los Angeles, CA, April 2017.
  2. Creating and Fostering a Growth-minded Classroom (幫助學生建立一個成長型思維模式的學習環境) [PDF, 1.61 MB], China Medical University, Taichung, Taiwan, January 9, 2017.
  3. Understanding Autism Spectrum Disorder From Placental Chorionic Surface Vascular Network [PDF, 9.46 MB], China Medical University, Taichung, Taiwan, February 18, 2016.
  4. Placenta Gives Clues to Autism Spectrum Disorder [PDF, 6.43 MB], Faculty Supper Club, CSU Long Beach, CA, April 29, 2014.
  5. CNSM Faculty Learning Community (FLC) [PDF, 2.43 MB], Department Meeting, CSU Long Beach, CA, October 2012.
  6. Interpretations of the Common Core State Standards (CCSS) in Mathematical Modeling [PDF, 3.32 MB], EQALS Institute 2012, CSU Long Beach, CA, June 2012.
  7. Classification on the Grassmannians: Theory and Applications, Mathematics Colloquium, CSU Dominquez Hills, CA, November 2010.
  8. Classification on the Grassmannians: Theory and Applications [PDF, 3.86 MB], Special Session on Metrics and Riemannian Methods in Shape Analysis in the AMS Fall Western Section Meeting, University of California State University, Los Angeles, Los Angeles, CA, October 2010.
  9. Classification on the Grassmannians: Theory and Applications [PDF, 3.88 MB], Image Processing Seminar, University of California State University, Los Angeles, Los Angeles, CA, May 2010.
  10. Some Interesting Problems in Pattern Recognition and Image Processing [PDF, 4.66 MB], Women in Math Group, University of Southern California, Los Angeles, CA, April 2010.
  11. An Academic Journey of Tangent [PDF, 1.87 MB], Math Club, Cypress College, Cypress, CA, April 2010.
  12. Some Interesting Problems in Pattern Recognition and Image Processing [PDF, 4.95 MB], Mathematics Graduate Seminar, CSU Channel Islands, CA, March 2010.
  13. An Introduction to Geometric Data Analysis and its Possible Applications [PDF, 3.86 MB], Mathematics Colloquium, CSU San Bernardino, CA, October 2009.
  14. An Introduction to Geometric Data Analysis and its Possible Applications [PDF, 3.84 MB], Claremont Colleges Mathematics Colloquium, Pomona College, CA, October 2009.
  15. An Introduction to Geometric Data Analysis and its Possible Applications [PDF, 3.85 MB], Department of Mathematics Colloquium, CSU Fullerton, CA, April 2009.
  16. An Academic Journey of Tangent [PDF, 1.69 MB], Math Day, California State University, Long Beach, Long Beach, CA, March 2009.

Selected Conference/Workshop/Symposium Talks

  1. Increase Student Learning Outcomes with Flipped Classrooms - a Collection of Empirical Evidences [PDF, 1.71 MB], Women in Mathematics Symposium, Pomona College, November 2015.
  2. Preparing Mathematics Teachers to Teach Modeling [PDF, 198 KB], The 18th Annual Conference of the Association of Mathematics Teacher Educators, Irvine, CA, February 2014.
  3. Vessel Enhancement with Multiscale and Curvilinear Filter Matching for Placenta Images [PDF, 4.66 MB], International Conference on Applied Mathematics, Modeling and Computational Science, Waterloo, Ontario, Canada, August 2013.
  4. Vessel Enhancement with Multiscale and Curvilinear Filter Matching for Placenta Images [PDF, 4.45 MB], International Conference on Systems, Signals and Image Processing, Bucharest, Romania, July 2013.
  5. Applying Image Processing Techniques to Promote Conceptual Understanding in Linear Algebra Classes [PDF, 2.7 MB], Joint Mathematics Meetings – MAA session on Innovative and Effective Ways to Teach Linear Algebra, San Francisco, CA, January 2010.
  6. Some Interesting Problems in Pattern Recognition [PDF, 2.69 MB], Claremont Colleges Math-in-Industry Workshop, Claremont, CA, July 2009.
  7. Face Recognition Under Varying Viewing Conditions With Subspace Distance [PDF, 1.76 MB], 2009 Multi-Conference in Computer Science and Engineering: International Conference on Artificial Intelligence and Pattern Recognition (AIPR-09), Orlando, FL, July 2009.
  8. Face Recognition on the Grassmannians [PDF, 2.20 MB], 1st Southern California Women in Mathematics Symposium, Loyala Marymount University, Los Angeles, CA, April 2009.
  9. Geometric Data Analysis for Face Recognition: Classification on the Grassmannians> [PDF, 4.74 MB], Workshop on Geometry and Computation, Department of Mathematics, Tunghai University, Taichung, Taiwan, December 2007.
  10. Illumination Face Spaces are Idiosyncratic [PDF, 8.03 MB], The International Conference on Image Processing, Computer Vision, & Pattern Recognition, Las Vegas, June 2006; CSU-LANL Workhshop on Data Driven Modeling, Colorado State University, September 2006; Third Front Range Applied Mathematics Student Conference, University of Colorado, Denver, March 2007.

Posters

  1. Discriminating Placentas of Increased Risk For Autism With Chorionic Surface Vascular Network Features [PDF, 17.7 MB], International Federation of Placenta Association, Portland, Oregon, September 2016.
  2. Faculty Participation in a Learning Community Improves STEM Student Success [PDF, 2.24 MB], AAC&U's Network for Academic Renewal Conference, Transforming STEM Higher Education, Atlanta, GA, November 2014.
  3. Assessing the Usability of Digital Images of Human Placenta with Multi-scale Filtering Methods [PDF, 2.23 MB], International Federation of Placenta Association, Paris, France, September 2014.
  4. Vessel Enhancement With Multi-scale and Curvilinear Filters for Placenta Images [PDF, 4.53 MB], 5th Annual College of Natural Sciences and Mathematics Faculty Research Symposium, California State University, Long Beach, CA, March 2013.
  5. Physical Science and Mathematics Scholarship [PDF, 1.03 MB], 4th Annual College of Natural Sciences and Mathematics Faculty Research Symposium, California State University, Long Beach, CA, March 2012.
  6. Predicting Birth Weights from Placental Surfaces Using a High-Dimensional Shape Descriptor [PDF, 3.87 MB], 4th Annual College of Natural Sciences and Mathematics Faculty Research Symposium, California State University, Long Beach, CA, March 2012.
  7. Recognition of Digital Images of the Human Face at Ultra Low Resolution via Illumination Spaces [PDF, 235 KB], 8th Asian Conference on Computer Vision, Japan, November 2007.
  8. Set-to-set Face Recognition Under Variations in Pose and Illumination [PDF, 240 KB], 2007 Biometrics Symposium at The Biometric Consortium Conference (BCC), Baltimore, MD, September 2007.