Halyun Jeong


University of British Columbia
Email: hajeong@math.ubc.ca

I am a postdoctoral fellow in the mathematics department and the data science institute at UBC. My research mentors are Professor Michael Friedlander , Yaniv Plan , and Ozgur Yilmaz .

Research

My research interests span mathematical aspect of signal processing and machine learning including geometry of high-dimensional data sets, nonlinear signal recovery such as compressed sensing, and computationally efficient optimization. As a postdoc at UBC, I have worked on concentration of random matrices on sets, performance analysis of iterative algorithms for one-bit compressed sensing, and manifold identification properties of proximal gradient methods and gauge-dual based algorithms. For my Ph.D. thesis, I studied phase retrieval, and quantization of phaseless measurements, and analyzed a randomized A/D conversion algorithm that eliminates spectral artifacts.

Publications

  • Halyun Jeong, Xiaowei Li, Yaniv Plan, Ozgur Yilmaz, Sub-Gaussian Matrices on Sets: Optimal Tail Dependence and Applications, Submitted.
  • Zhenan Fan, Halyun Jeong, Michael Friedlander, Yifan Sun, Polar Alignment and Atomic Decomposition, Submitted.
  • Halyun Jeong, Xiaowei Li, Yaniv Plan and Ozgur Yilmaz, Non-Gaussian Random Matrices on Sets: Optimal Tail Dependence and Applications, Proceedings of International Conference on Sampling Theory and Applications.
  • Yifan Sun, Halyun Jeong, Julie Nutini, Mark Schmidt, Are we there yet? Manifold identification of gradient-related proximal methods, Proceedings of the 22nd International Conference on Artificial Intelligence and Statistics link.
  • Halyun Jeong and C. Sinan Güntürk, Convergence of the randomized Kaczmarz method for phase retrieval, Preprint.
  • Halyun Jeong, Thang Huynh, and C. Sinan Güntürk, Distributed noise-shaping quantization for phase retrieval, In preparation.
  • Halyun Jeong, Spectral analysis of ΣΔ modulation with dithering, In preparation.
  • Halyun Jeong and Young-Han Kim, Sparse linear representation , Proceedings of the IEEE International Conference on Symposium on Information Theory (ISIT) - volume 1, 2009, pp. 329–333 arXiv: 0905.1990

  • Teaching at UBC

    Winter 2019 Term 2: Math307 (Applied linear algebra)

    Winter 2018 Term 2: Math221 (Matrix algebra)

    Winter 2018 Term 1: Math307 (Applied linear algebra)

    Winter 2017 Term 1: Math307 (Applied linear algebra)

    Teaching at NYU

    Fall 2016: Calculus 1 recitation

    Fall 2015: Honors III (Fourier analysis) recitation

    Fall 2014: Algebra and Calculus (Precalculus) recitation