Research Activities

Qiyu Sun

2021

2020

  • Organize the  Fifth Hangzhou Workshop on Harmonic Analysis and Applications, December 18-20, 2020, Zhejiang University of Science and Technology, China, and gave a virtual talk.
  • Nazar Emirov  passed the dissertation defense. His dissertation is “Distributed algorithms and inverse graph filtering”.  He accepted a post-doctoral position at Boston College after graduation.
  • Gave a virtual talk at Zhejiang University of Science and Technology, October 5, 2020.
  •  Visited University of Leigh to work on the project, February 13-16, 2020.
  • Give an invited talk at the AMS Special Session on Interactions of Inverse Problems, Computational Harmonic Analysis, and Imaging, Joint Mathematics Meetings, Denver, January 15–18, 2020.

2019

  • Visited Sun Yat-sen University (China), December 16–22, 2019 and gave a talk in the department, and visited Guilin Univesity of Electronic Technology, Decemeber 22–25, 2019.
  • Co-organizer the Fourth Hangzhou Workshop on Harmonic Analysis, December 14-15, 2019, Zhejiang University of Science and Technology.
  • Attend a Conference Celebrating John Benedetto’s 80th Birthday, University of Maryland, College Park, MD, September 19-21, 2019.
  • Gave a talk on 13th International Conference on  Sampling Theory and Applications, July  8-12, 2019.
  • Attend the SIAM SIAM Conference on Control and Its Applications (CT19) , June 19 – 21, 2019 at Chengdu, China and accept the 2019 SIAG/CST Best SICON Paper Prize for the paper “Sparsity and Spatial Localization Measures for Spatially Distributed Systems,” SICON 55-1 (2017), pp. 200-235, to recognize  for making “a fundamental contribution to spatially distributed systems theory, showing in particular that quadratically optimal state feedback controllers for spatially decaying systems are sparse and spatially localized.” The SIAG/CST Best SICON Paper Prize is awarded to the author(s) of the two most outstanding papers, as determined by the prize committee, published in the SIAM Journal on Control and Optimization (SICON) in the three calendar years preceding the award year.
  • The paper,   Spatially distributed sampling and reconstruction,  coauthored with Cheng Cheng and Yingchun Jiang is published in  Applied and Computational Harmonic Analysis, 47 (2019), 109-148.
  • Paper on Nonsubsampled Graph Filter Banks with Junzheng Jiang and Cheng Cheng is published in   IEEE Transactions on Signal Processing, Volume 67, 2019,  pp.  3938 – 3953.
  • Gave a talk at Department of Mathematics, Northwest University, June 17, 2019
  • Gave a talk  at  a modern analysis conference on Analysis at Jiaxin University, June 7-8, 2019.
  • Gave  a talk at the HDU Workshop on Optimization Methods for Imaging and Big Data Problems, May 24-25, 2019.
  • Gave a talk at Dongseo University on May 22, 2019.
  • Gave a talk at the International Conference on Computational Harmonic Analysis and Statistical Learning 2019 to be held at Hohai University during May 17-21, 2019.
  • Visited Sogang University, March 2019
  • Attend the IPAM workshop on Operator Theoretic Methods in Dynamic Data Analysis and Control at IPAM, UCLA,  February 11 – 15, 2019.

2018

  • Gave a talk at Hangzhou Dianzi University, December 26, 2018.
  • Co-organizer the Third Hangzhou Workshop on Harmonic Analysis, December 15-16, 2018, Zhejiang University of Science and  Technology
  • The paper ” Phase retrieval of real-valued signals in a shift-invariant space” with  Yang Chen, Cheng Cheng and Haichao Wang was accepted by the journal Applied and Computational Harmonic Analysis (Nov 2018)
  • Gave colloquium talks in Department of Mathematics, University of South Alabama (October 18) and Department of Mathematics, Sam Houston University (November 5, 2018)
  • Gave an invited talk at the Special Session on Applied Harmonic Analysis: Frame Theory and Applications, AMS Fall Western Sectional Meeting, San Francisco University, October 27-28, 2018.
  •   Visited Lehigh University, September 2018.
  • The project “Mathematical Foundation for Signal Processing on Spatially Distributed Networks” was award by the National Science Foundation  (DMS1816313).
  • The paper “Phaseless Sampling and Reconstruction of Real-Valued Signals in Shift-Invariant Spaces” Cheng Cheng and Junzheng Jiang was accepted by the  Journal of Fourier Analysis and Applications.
  • Organized a special session  Infinite Dimension Systems and Wavelets with MarcinBownik and Xingde Dai, of the International Workshop on Operator Theory and Applications (IWOTA) 2018, July 23-27, 2018, East China Normal University ,Shanghai, China.  The International Workshop on Operator Theory and its Applications (IWOTA) was started in 1981 to bring together mathematicians and engineers working in operator theoretic side of functional analysis and its applications to related fields.  In the even years, the IWOTA workshop is a satellite meeting to the biennual International Symposium on the Mathematical Theory of Networks and Systems (MTNS).
  • Gave an invited talk at the 23rd International Symposium on Mathematical Theory of Networks and Systems,  Hong Kong University of Science and Technology, July 16-20, 2018.  MTNS, the International Symposium on the Mathematical Theory of Networks and Systems is a major symposium in the general area of mathematical systems theory. The symposium is interdisciplinary and attracts mathematicians, engineers and researchers working in all aspects of systems theory. The symposium is organized every two years and traditionally covers areas involving a wide range of research directions in mathematical systems, networks and control theory.
  • Visited Sun yet-sen University and Shenzhen University from July 12–15.
  • Gave an invited talk at the International Symposium on Computational Harmonic Analysis, June 23–24, 2018, Behang University.  This symposium will mainly discuss such topics as the theoretical basis and algorithm of compressive sensing, the theoretical basis and algorithm of phase recovery, wavelet and frame theory, interpolation approximation and the application of compressive sensing in function approximation etc, and promote the academic exchange among experts in these fields.
  • Visited Beijing University of Science and Technology, Chinese Academy of Science, Chinese University of Geosciences, Guiling University of Electronic, Guangxi University, Hunan Normal University from June 20 to June 29, 2018.
  • Gave an invited talk at the International Conference on Harmonic Analysis and Its Applications,  June 15-19, 2018, Yanqi Lake, Beijing. The conference mainly concentrates on harmonic analysis as well as its applications in various fields such as PDE, number theory, and probability etc.
  • Attend the 7th International Conference on Computational Harmonic Analysis in conjunction with 33th annual Shanks Lecture, and give a talk on special workshop to celebrate the 60th birthday of Akram Aldroubi, Nashville, TN , May 14–19, 2018.
  • Give a colloquium talk at Department of Mathematical Sciences, University of Wisconsin at Milwaukee, April 20, 2018.
    Attend the  “Twenty Years of Biomedical Imaging and Splines” workshop , EPFL,  March 23-25, 2018.
  • Invited talk on the Workshop on Mathematical Challenges of Structured Function  Systems, organized by Maria Charina (U Vienna), Karlheinz Gröchenig (U Vienna), Mihai Putinar (UC, Santa Barbara) and  Joachim Stöckler (TU Dortmund),  Erwin Schrödinger International Institute for Mathematics and Physics, March 19 -23, 2018.
  • Colloquium talk at Department of Mathematics,  Sogang University, Korea on March 15, 2018.
  • Invited talk at AMS Special Session on Interactions of Inverse Problems, Signal Processing, and Imaging, AMS Annual Meeting, San Diego, January 10–13, 2018.

2017

  • Organize The second Hangzhou workshop on harmonic analysis and applications at Hangzhou, Zhejiang, December 16 -17, 2017.
  • Invited talk at the From Approximation Theory to Real World Applications Workshop, Tsinghua Sanya International Mathematics Forum, Sanya, China, December 11-15, 2017.
  • Organize a Special Session on Applied Harmonic Analysis: Frames, Samplings and Applications with Deguang Han and Dorin Dutkay during the Fall Southeastern Sectional Meeting, University of Central Florida, Orlando, Orlando, FL, September 23–24, 2017.
  • Invited talk on the special session on  Harmonic Analysis and Inverse Problem,  Mathematical Congress of Americas, Montreal, Canada, July 24–28, 2017.
  • Invited talk on phaseless sampling and reconstruction at International Workshop on Computational Harmonic Analysis, Chern Institute of Mathematics, Nankai, Univeristy, Tianjin, China, June 15-18, 2017.
  • Invited talk on Wiener’s lemma and beyond at the  5th East Asian Conference in Harmonic Analysis and Applications,  Zhejiang University of Science and Technology, June 8–12, 2017.
  • Invited talk on signal sampling and reconstruction on spatially distributed networks at the Workshop on Frame Theory and Sparse Representation for Complex Data, Institute of Mathematical Science, National University of Singapore, May 29–June 2, 2017.
  • Invited talk at the International Conference on Computational Harmonic Analysis 2017, Fudan University,  Shanghai, China, May 24–28, 2017.
  • Invited talk at the International Workshop on Generalized Inverses, Space Structure, Methods of Functional Analysis and their Applications,  May 12-14, 2017, Harbin Normal University, China.
  • Syed Alam Abbas (PhD 2017)  will be a postdoctoral research at University of New Mexico. He is supervised by Hassan Foroosh with my co-supervision.
  • Aritra Dutta (PhD 2016)  will be a Postdoctoral Researcher at the University of Edinburgh, with joint affiliation at the Visual Computing Center in KAUST, Saudi Arabia. Dr. Aritra Dutta is supervised by Xin Li with my co-supervision.
  • Organize a workshop  with Charles Micchelli and Mourad Ismail on high-dimensional data fitting and approximation,  March  30, 2017.
  • Visiting Sogang University, March 2017
  • Attend the special session AMS Special Session on Inverse Problems and Multivariate Signal Analysis, Annual AMS meeting at Atlanta, January 4-7, 2017. Student Cheng Cheng gave a talk on a joint work.

 2016

  • Invited talk at Hangzhou Workshop on Harmonic Analysis 2016, Zhejiang University of Science and Technology, December 24- 25, 2016.
  •  Invited talks at Zhejiang University, and Zhejiang Jiliang University, December 21, 2016.
  • Invited talk on phase-retrieval on shift-invariant spaces at 2016 International Conference on Some Mathematical Approximation Approaches in Data Science, Zhejiang University, Hangzhou, December 12-14, 2016.
  • Talk on Northeastern Analysis Meeting NEAM – 1st Northeastern Analysis Meeting October 14-16, 2016, Brockport, New York, USA
  • Attended Yangtze River Delta Conference on  Modern Analysis, Nantong, China,  July 2016.
  • Visited Beijing University of Technology, Xidian University,   Guiling University of Technology,  Sun Yat-sen University,  JiaXing University and gave several talks on phase retrieval and compressive sensing.
  • Joint paper “Frequency estimation of sinusoids from nonuniform samples” with Syed Alam Abbas and Hassan Foroosh was published in the journal Signal Processing, 129(2016), 67—81.
  • Visit Lehigh University, April 2016
  • Joint paper with Yang Chen and Qiqian Fang, Spectra of Bochner-Riesz means on $L^p$, was accepted for the publication in Numerical Functional Analysis and Optimization.
  • Visited Lehigh University in March 2016.
  • Attend HIM workshop “Harmonic Analysis, Graphs and Learning”, March 14—18, 2016 at Bonn, Germany.
  • Visited Sogang University, Korea in February 2016.
  • Attended IMA workshop on Optimization and Parsimonious Modelling, January 2016.
  • Joint paper with Cheng Cheng and Yingchun Jiang, Sampling and Galerkin reconstruction in reproducing kernel spaces, was accepted by Applied and Computational Harmonic Analysis.

2015

  • Visited Beijing University of Technology, Beijing Normal University, Nankai University, Zhejiang Normal University and  North China Electric Power University and gave talks on Wiener’s lemma and spatially distributed sampling.
  • Visited Institute of Scientific Computing, Chinese Academy of Science, and gave four-week lectures.
  • Visited Clarkson University and Syracuse University and gave colloquium talks on Wiener’s lemma and its application to sampling.
  • Joint paper Reconstruction of sparse wavelet signals from partial  Fourier measurements with Yang Chen and Cheng Cheng was published in IEEE Signal Processing Letter,  22 (2015), 2299—2303.
  • Visited Auburn University at Montgonery and gave a colloquium talk on Wiener’s lemma and its application to sampling.
  • Visited Lehigh University and attend Science of Autonomy Program Review meeting.Visit Sun Yat-senUniversity, Guilin University of Electronic Technology, and Jiaxin College and gave talks on Spatially Distributed Sampling and Reconstruction of Signals on a Graph.
  • Attend and organize a special session on Dynamical, Nonlinear and Mobile Sampling at the 11th International Conference on Sampling Theory and Applications (SampTA 2015), American University, Washington DC, May 25—29, 2015. Yang Chen and Cheng Cheng gave talks on sampling of sparse wavelet signals and sampling on high-dimensional signals.
  • One of the organizers of the International Conference on Orthogonal Polynomials and $q$-series, May 10—12, 2015, University of Central Florida.
  • Joint paper, Spectral measures with arbitrary Hausdorff dimensions, with Xin-rong Dai was published in Journal of Functional Analysis, 268(2015), 2464—2477.
  • Attend AMS Central Spring Sectional Meeting, Michigan State University, March 2015 and gave a talk on special session on frames, wavelets and their applications.
  • Gave a talk in Wayne State University, March 2015
  • Visited Professor Chang Eon Shin at Sogang University in March.
  • Serve as a member of Technical program committee for SampTa2015.
  • Attend AMS annual meeting in San Antonio, January 2015 and gave a talk on SIAM Minisymposium on multivariate signals processing and inverse problems.

2014

  • Attend AMS Fall Eastern Sectional meeting ar Dalhousie University, Halifax, Canada, Oct. 2014 and gave a talk on the special session on Sampling Theory.
  • Yang Chen, Hunan Normal University, will visit the department for one year.
  • The project “Nonlinear sampling theory: Sparsity, Localization and Optimization” is awarded by DMS, the National Science Foundation. (08/2014).
  • Dr. Qiquan Fang,  Zhejiang University of Science and Techonology, will visit the department for one year.
  • Attend International Conference on Harmonic Analysis and Applications (Nankai University, June 10-16, 2014)
  • Attend 5th International Conference on Computational Harmonic Analysis (May 19—23, 2014, Vanderbilt University) and gave a keynote speech.
  • Prof. C. Micchelli visited in April.
  • The paper “Localized nonlinear functional equations and two sampling problems in signal processing” was assigned Volume 40 (2014), pages 415—458 of the journal “Advances in Computational Mathematics”.
  • Visit Prof.  Nader Motee at Lehigh University in March.
  • The paper “Rate of innovation for (non)-periodic signals and optimal lower stability bound for filtering” with Jun Xian was assigned Volume 20 (2014), pages 119-134 of the journal “Journal of Fourier Analysis and Applications”.
  • Visited Professor Chang Eon Shin at Sogang University in March.
  • The paper “A unified formulation of Gaussian vs. sparse stochastic process—Part I” with M. Unser and P. D.Tafti was assigned Volume 60 (2014), pages 1945—1962 in the journal IEEE Transaction on Information Theory.
  • Professor Xianliang Shi visited on February, 2014.
  • Professor Yingchun Jiang, Guiling University of Electronic Technology, will visit for one year from February, 2014
  • Attend the Time-frequency Analysis workshop and gave a talk at Erwin Schrodinger Institute from January13 to 17, 2014.
  • The article “Wiener’s lemma for singular integral operators of Bessel potential type’’ with Qiquan Fang and Chang Eon Shin was assigned Volume 173(2014), pages 35—54 in the journal Monatshefte für Mathematik.

2013

2012

2011

2010

2009