Site menu:

radial distance diagram

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 and past 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
  3. Investigate ways to improve student success
Publications on Google Scholar

 

Peer-Reviewed Journal Articles

  1. J. Chesler and J.-M. Chang, "A course in mathematical modeling for pre-service teachers," Issues in Undergraduate Mathematics Preparations of School Teachers: The Journal (IUMPST: The Journal), Vol 4 (Curriculum), ISSN 2165-7874, December 2019.
  2. Xueping Jiang, Jen-Mei Chang, and Hui Sun, "Inframarginal Model Analysis of the Evolution of Agricultural Division of Labor", Mathematics: Special Issue Mathematics and Engineering, Vol 7(12), No. 1152, pg. 1-13, 2019.
  3. C. Anghel, K. Archer, J.-M. Chang, A. Cochran, A. Radulescu, C.M. Salafia, R. Turner, K. Yacoubou Djuma, L. Zhong, "Placental Vessel Extraction with Shearlets, Laplacian Eigenmaps, and a Conditional Generative Adversarial Network," in: Radunskaya A., Segal R., Shtylla B. (eds) Understanding Complex Biological Systems with Mathematics. Association for Women in Mathematics Series, Vol 14, Springer, Cham, pg. 171--196, 2018.
  4. C. Anghel, K. Archer, J.-M. Chang, A. Cochran, A. Radulescu, C.M. Salafia, R. Turner, K. Yacoubou Djuma, L. Zhong, "Simulations of the vascular network growth process for studying placenta structure and function associated with autism," in: Radunskaya A., Segal R., Shtylla B. (eds) Understanding Complex Biological Systems with Mathematics. Association for Women in Mathematics Series, Vol 14, Springer, Cham, pg. 145--169, 2018.
  5. E. Farnell, S. Farnell, J.-M. Chang, M. Hoffman, R. Belton, K. Keaty, S. Lederman C. Salafia, "A shape-context model for matching placental chorionic surface vascular networks," Image Analysis and Stenography, Vol 37, No 1, pg. 55--62, 2018.
  6. J.-M. Chang, H. Zeng, R. Han, Y.-M. Chang, R. Shah, C. Salafia, C. Newschaffer, R. Miller, P. Katzman, J. Moye, M. Fallin, C. Walker, L. Croen, "Autism risk classification using placental chorionic surface vascular network features," BMC Medical Informatics and Decision Making, Vol. 17, No. 162, pg. 1-13, December 2017.
  7. J.-M. Chang, C. Kwon, P. Buonora, L. Stevens, "Strategies to recruit and retain students in physical science and mathematics on a diverse college campus," [PDF, 903 KB] Journal of College Science Teaching, Vol. 45, No. 3, pg. 14-22, 2016.
  8. J. Murphy, J.-M. Chang, Kagba Suaray, "Student performance and attitudes in a collaborative and flipped linear algebra class," International Journal of Mathematics Education in Science and Technology, Vol 47, Issue 5, pg. 653-673, 2016.
  9. T. Meyer, D. Ziegler, C. Brune, A. Chen, R. Farnham, N. Huynh, J.-M. Chang, A. Bertozzi, P. Ashby, "Height drift correction in non-raster atomic force microscopy," Ultramicroscopy, Vol. 137, pg. 48-54, November 2013.
  10. J.-M. Chang, A. Mulgrew, Carolyn Salafia, "Characterizing placental surface shape with a high-dimensional shape descriptor," Applied Mathematics, Vol. 3, No. 9, pg. 954-968, September 2012.
  11. J.-M. Chang, M. Kirby, C. Peterson, "Feature patch illumination spaces and Karcher compression for face recognition via Grassmannians,"Advances in Pure Mathematics, Vol. 2, No. 4, pg. 226-242, July 2012.
  12. J.-M. Chang, "Getting students excited about learning mathematics," [PDF, 1.89 MB] Journal of the Central California Mathematics Project, Vol. 3, pp. 6-13, 2010.
  13. J.-M. Chang, "A practical approach to inquiry-based learning in linear algebra," [PDF, 6.2 MB] International Journal of Mathematics Education in Science and Technology, Vol. 42, No. 2, pg. 245—259, 2010.
  14. J.R. Beveridge, B. Draper, J.-M. Chang, M. Kirby, H. Kley, C. Peterson, "Principal angles separate subject illumination spaces in YDB and CMU-PIE," [PDF, 670 KB] IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 31, No. 2, pg. 351—356, 2009.

Peer-Reviewed Conference Proceedings

  1. J. Chesler, J.-M. Chang, "A course in mathematical modeling for pre-service teachers: Designs and challenges," 21st Conference on Research in Undergraduate Mathematics Education (RUME), February 2018.
  2. G. Touchon, J. Chanussol, J. Gilles, M. Dalla Mura, J.-M. Chang, A. Bertozzi, "Gas plumes detection and tracking in hyperspectral video sequences using binary partition trees," [PDF, 1.21 MB] Proceedings of IEEE Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS), June 24, 2014.
  3. J. Sunu, J.-M. Chang, A. Bertozzi, "Simultaneous spectral analysis of multiple video sequence data for LWIR gas plumes," [PDF, 2.52 MB] Proceedings of SPIE: Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XX, Vol. 9088, June 13, 2014.
  4. J.-M. Chang, N. Huynh, M. Vazquez,C. Salafia, "Vessel enhancement with multi-scale and curvilinear filter matching for placenta images," [PDF, 556 KB] Proceedings of the 2013 20th International Conference on Systems, Signals and Image Processing (IWSSIP), 125—128, 2013.
  5. T. Gerhart, J. Sunu, L. Lieu, E. Merkurjev, J.-M. Chang, J. Gilles, A. Bertozzi, " Detection and tracking of gas plumes in LWIR hyperspectral video sequence data," [PDF, 7.04 MB] Proceedings of SPIE: Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery XIX, Vol. 8743, May 18, 2013.
  6. J.-M. Chang, J. Pacheco, "Classifying handwritten digits on the Grassmann manifold," [PDF, 521 KB] Proceedings of the International Conference on Image Processing, Computer Vision, & Pattern Recognition, Vol. 1, 36-41, 2011.
  7. J.-M. Chang, M. Kirby, "Face recognition under varying viewing conditions with subspace distance," [PDF, 1.62 MB] Proceedings of the 2009 Int'l Conf. on Artificial Intelligence and Pattern Recognition (AIPR-09), 16—23, 2009.
  8. J.-M. Chang, M. Kirby, H. Kley, C. Peterson, B. Draper, J.R. Beveridge, "Recognition of digital images of the human face at ultra low resolution via illumination spaces," [PDF, 603 KB] Proceedings of the 8th Asian Conference on Computer Vision, part II, LNCS 4844, 733—743, 2007.
  9. J.-M. Chang, M. Kirby, C. Peterson, "Set-to-set face recognition under variations of pose and illumination," [PDF, 395 KB] Proceedings of 2007 Biometrics Symposium at The Biometric Consortium Conference (BCC), Baltimore, MD, Sept. 11-13, 2007.
  10. J.-M. Chang, M. Kirby, H. Kley, J.R. Beveridge, B. Draper, C. Peterson, "Examples of set-to-set image classification," [PDF, 1.20 MB] in Seventh International Conference on Mathematics in Signal Processing Conference Digest, The Royal Agricultural College, Cirencester, Institute of Mathematics and its Applications, 102-105, December 2006.
  11. J.-M. Chang, J.R. Beveridge, B. Draper, M. Kirby, H. Kley, C. Peterson, "Illumination face spaces are idiosyncratic," [PDF, 505 KB] The International Conference on Image Processing, Computer Vision, & Pattern Recognition, Vol. 2, 390—396, 2006.

Published Abstracts

  1. D. Gonzalez, J.-M. Chang, "Can decision aid increase college student success?" AMS Special Session on Research in Mathematics by Early Career Graduate Students, Joint Mathematics Meetings, San Diego, CA, January 2018.
  2. J.-M. Chang, J. Chesler, "Developing a course in mathematical modeling for pre-service secondary teachers," MAA Contributed Paper Session on the Scholarship of Teaching and Learning in Collegiate Mathematics, Joint Mathematics Meetings, San Diego, CA, January 2018.
  3. C. Anghel, K. Yacoubou Djima, J.-M. Chang, "Using a conditional adversarial network for placental blood vessel segmentation," 12th Women in Machine Learning Workshop (WiML 2017), Long Beach, California, December, 2017.
  4. K. Yacoubou Djima, C. Salafia, R.K. Miller, R. Wood, P. Katzman, C. Stodgell, J.-M. Chang, "Enhancing placental chorionic surface vasculature from barium-perfused images with directional and multiscale methods,"Placenta, Volume 57, pg. 292—293, September 2017.
  5. J.-M. Chang, Y.-M. Chang, R. Han, Z. Hui, R. Shah, C. Newschaffer, R. Miller, P. Katzman, J. Moye, C. Salafia, "Whole placental chorionic surface vessel feature analysis with Boruta method, and autism risk," Placenta, Volume 45, pg. 75, September 2016.
  6. R. Shah, T. Girardi, J.-M. Chang, J. Straughen, C. Newschaffer, D. Misra, P. Katzman, R. Miller, J. Moye, C. Salafia, "A priori specified relationships among arterial chorionic surface vessel network (PCSVN) and autism risk," Placenta, Volume 45, pg. 76, September 2016.
  7. C. Salafia, R. Shah, G. Merz, K. Keaty, L. Conrad, A. Garcia, D. Misra, J.-M. Chang, "Validation of tracing protocol and automated feature extraction of placental chorionic surface vessel networks," Reproductive Sciences, Volume 22, pg. 287A, Sage Publications Inc, March 2015.
  8. J. Murphy, J.-M. Chang, "Experience a flipped learning outcome through a flipped learning in an introductory linear algebra class," MAA Contributed Paper Session on Using Flipped Pedagogy to Engage Students in Learning Mathematics, Joint Mathematics Meetings, San Antonio, TX, January 2015.
  9. N. Huynh, J.-M. Chang, P. Katzmann, R. Miller, J. Moye, C. Salafia, "Assessing the usability of digital images of human placenta with multi-scale filtering methods," Placenta, Volume 35, Issue 9, pg. A56, Elsevier, September 2014.
  10. D. Ziegler, A. Nievergelt, A. Chen, T. Meyer, J.-M. Chang, D. Argyris, A. Phan, A. Striolo, A. Bertozzi, P. Ashby, "Scuba Probes and in-situ mapping of interfacial solvent structure using force spectroscopy," Abstracts of papers of the American Chemical Society, March 16, 2014
  11. J.-M. Chang, N. Huynh, M. Vazquez, C. Salafia, "Vessel enhancement with multi-scale and curvilinear filters for placenta images," Placenta, Volume 34, Issue 9, pg. A73, September 2013.
  12. P Ashby, D. Ziegler, A. Frank, S. Frank, A. Chen, T. Meyer, R. Farnham, N. Huynh, I. Rangelow, J.-M. Chang, A. Bertozzi, ``Encased cantilevers and alternative scan algorithms for ultra-gentle high speed atomic force microscopy,'' [PDF, 60.2 KB] Biophysical Journal, Volume 102, Issue 3, pg. 579a, January 2012.
  13. D. Ziegler, B. Sanii, A. Frank, S. Frank, A. Chen, T. Meyer, R. Franham, N. Huynh, J. DeYoreo, I. Rangelow, J.-M. Chang, A. Bertozzi, P. Ashby, "Toward capturing soft molecular material dynamics," [PDF, 898 KB] Biomolecular Materials Principal Investigators' Meeting, Annapolis, MD, October 2011.
  14. J.-M. Chang, "Classification on the Grassmannians: theory and applications," [PDF, 46.4 KB] Special Session on Metric and Riemannian Methods in Shape Analysis, AMS Fall Western Section Meeting, University of California, Los Angeles, CA, October 2010.
  15. J.-M. Chang, X. Li, "Applying image processing techniques to promote conceptual understanding in linear algebra classes," [PDF, 49.9 KB] MAA Special Session on Innovative and Effective Ways to Teach Linear Algebra, Joint Mathematics Meetings, San Francisco, CA, January 2010.

Book Chapters/Books

  1. J.-M. Chang and J. Chesler, "The Power of Mathematics Workbook with Notes , 1st edition, ISBN: 9781524994891, published by Kendall Hunt, August 2019.
  2. T. Gerhart and J.-M. Chang, "Applications of low rank and sparse matrix decompositions in hyperspectral video processing", [PDF, 4.4 MB] Handbook on Robust Decomposition in Low Rank and Sparse Matrices and its Applications in Image and Video Processing, Editors: Thierry Bouwmans, Necdet Serhat Aybat, El-hadi Zahzah, published by Chapman and Hall/CRC, May 27, 2016.
  3. J.-M. Chang, "Careers," [PDF, 113 KB] Encyclopedia of Mathematics and Society, Salem Press, 2011.

Technical Reports

  1. T. Gerhart, L. Lieu, J. Sunu, J. Gilles, J.-M. Chang, E. Merkurjev, A. Bertozzi, "Chemical plume detection for hyperspectral imaging," [PDF, 2.38 MB] Technical report, UCLA Applied Math Summer REU, June 18-August 10, 2012.
  2. T. Meyer, R. Farnham, N. Huynh, A. Chen, J.-M. Chang, A. Bertozzi, "Fast atomic force microscopy imaging using self-intersecting scans and inpainting," [PDF, 7.54 MB] Technical report, UCLA Applied Math Summer REU, June 13-August 5, 2011.
  3. B. Jones, A. Adams, A. Nguyen, J.-M. Chang, L. Vese, "Placenta imaging classification: at risk detector (PICARD)," [PDF, 2.81 MB] Technical report, UCLA Applied Mathematics Summer REU, June 16-August 6, 2010.
  4. C. Rangel-Escareno, J.-M. Chang, M. Vu, Q. Wu, H. Wadhar, "A two-base encoded DNA sequence alignment problem in computational biology," [PDF, 839 KB] Technical report, Claremont Math-in-Industry Workshop, July 27-31, 2009.
  5. J.-M Chang, M. Kirby, L. Krakow, J. Ladd, E. Murphy, "Classification of images with tangent distance," [PDF, 388 KB] Technical report, Industrial Mathematics Seminar at Colorado State University, January – May 2004.