Dr Wen-shin Lee

Lecturer

Computing Science and Mathematics - Division Stirling

Dr Wen-shin Lee

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About me

About me

In December 2001, I obtained my PhD degree in Computational Mathematics, with a minor in Computer Science, from North Carolina State University in the United States. From September 2001 until August 2003, I was a postdoctoral fellow at the Symbolic Computation Group, in the School of Computer Science, University of Waterloo, Canada. Afterwards, I was sponsored by INRIA, the French National Institute for Research in Computer Science and Control, for a one-year research visit to the project team GALAAD (Geometry, Algebra, Algorithms) in Sophia Antipolis, France.

In January 2005, I moved to Belgium and became a member of the research group of Computational Mathematics (CMA) at University of Antwerp.

In May 2018, I joined the Division of Computing Science and Mathematics at University of Stirling in Scotland UK as a Lecturer in Mathematics.

Research (2)

The topic of my PhD research belongs to the domain of symbolic computation and computer algebra. During my PhD study and early postdoc years, my focus had been on the representation and manipulation of polynomials, with a focus on efficiency. Polynomials are one of the fundamental objects in computer algebra, as well as computational mathematics in general. Being able to represent and manipulate them efficiently can have dramatic effects on the cost of many algorithms. At the end of this period, I started to investigate symbolic-numeric computing with polynomials and rational functions.

In January 2005, I joined the research group of Computational Mathematics (CMA) at the University of Antwerp in Belgium. The CMA research group at Antwerp has a lot of expertise in scientific computing, besides the background in approximation theory. This collaboration has led to some very interesting results and has become a valuable learning experience that expanded the spectrum and the depth of my research.

Bringing together tools from exponential analysis, Padé approximation, and sparse interpolation from computer algebra, our results allow to break the Nyquist sampling rate in signal processing. This achievement has led to a series of patent applications and a spin-off project. At the same time, we have been actively exploring applications in sciences and engineering, which include direction of arrival (DOA), sonar, radar, motor fault diagnosis, power system transient detection, magnetic resonance spectroscopy (MRS), fluorescence lifetime imaging (FLIM), music signal models, and bioelectrical signals such as the electroencephalogram (EEG), etc.

In May 2018, I joined the Division of Computing Science and Mathematics at University of Stirling. I continue to seek opportunities for multidisciplinary collaboration, departing from an interesting practical application.

Projects

Advancing exponential analysis: high-resolution information from sparse and regularly sampled data
PI: Dr Wen-shin Lee
Funded by: The Carnegie Trust

Women in Mathematics Day
PI: Dr Anna Kirpichnikova
Funded by: London Mathematical Society

Outputs (30)

Outputs

Conference Proceeding

Louw R, Knaepkens F, Cuyt A, Lee W, Wijnholds SJ, de Villiers DIL & Weideman R (2021) Antenna position estimation through sub-sampled exponential analysis of harmonically related input signals. In: Proceedings of XXXIV General Assembly and Scientific Symposium (GASS) of the International Union of Radio Science (Union Radio Scientifique International - URSI). XXXIV General Assembly and Scientific Symposium (GASS) of the International Union of Radio Science (Union Radio Scientifique International - URSI), Rome, Italy, 28.08.2021-04.09.2021. Piscataway, NJ, USA: IEEE. https://doi.org/10.23919/URSIGASS51995.2021.9560519

Conference Proceeding

Hou Y, Cuyt A, Lee W & Bhowmik D (2021) Decomposing Textures Using Exponential Analysis. In: ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE International Conference on Acoustics, Speech and Signal Processing, Toronto, Ontario, Canada, 06.06.2021-11.06.2021. Piscataway: IEEE. https://doi.org/10.1109/ICASSP39728.2021.9413909

Conference Proceeding

De Villiers DIL, Louw R, Weideman R, Cuyt A, Knaepkens F & Lee W (2019) Practical Performance of Regular Sparse Array Direction of Arrival Estimation in 1-D. In: 9th IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications, APWC 2019. IEEE-APS Conference on Antennas and Propagation for Wireless Communications, Granada, Spain, 09.09.2019-13.09.2019. Piscataway, NJ: Institute of Electrical and Electronics Engineers Inc. pp. 112-112. https://doi.org/10.1109/APWC.2019.8870566

Conference Proceeding

Cuyt A, Knaepkens F & Lee W (2018) From exponential analysis to Padé approximation and tensor decomposition, in one and more dimensions. In: Gerdt V, Koepf W, Seiler W & Vorozhtsov E (eds.) Computer Algebra in Scientific Computing. CASC 2018. Lecture Notes in Computer Science (LNCS), 11077. Computer Algebra in Scientific Computing, Lille, France, 17.09.2018-21.09.2018. Cham, Switzerland: Springer International Publishing, pp. 116-130. https://doi.org/10.1007/978-3-319-99639-4_8

Conference Proceeding

Cuyt A, Lee W, Tijskens E, Hong W, Wang J, Cools T & Geerts T (2018) Superresolution underwater acoustics. In: Proceedings of Euronoise 2018. Euronoise 2018, 27.05.2018-31.05.2018. Crete, Greece: Hellenic Institute of Acoustics, pp. 2845-2850. http://www.euronoise2018.eu/docs/papers/469_Euronoise2018.pdf

Conference Proceeding

Briani M, Cuyt A & Lee W (2017) Sparse interpolation, the FFT algorithm and FIR filters. In: Gerdt V, Koepf W, Seiler W & Vorozhtsov E (eds.) Computer Algebra in Scientific Computing - 19th International Workshop, CASC 2017, Beijing, China, September 18-22, 2017, Proceedings. Lecture Notes in Computer Science (LNCS), 10490. 19th International Workshop on Computer Algebra in Scientific Computing, Beijing, China, 18.09.2017-22.09.2017. Cham, Switzerland: Springer International Publishing, pp. 27-39. https://doi.org/10.1007/978-3-319-66320-3

Conference Proceeding

Briani M, Cuyt A & Lee W (2017) Validated exponential analysis for harmonic sounds. In: Torin A, Hamilton B, Bilbao S & Newton M (eds.) Proceedings of the 20th International Conference on Digital Audio Effects (DAFx-17). DAFx proceedings series. 20th International Conference on Digital Audio Effects, Edinburgh, UK, 05.09.2017-09.09.2017. Hamburg, Germany: University of Edinburgh, pp. 222-227. http://www.dafx17.eca.ed.ac.uk/Proceedings.html

Conference Proceeding

Cuyt A & Lee W (2016) Sparse interpolation and rational approximation. In: Hardin D, Lubinsky D & Simanek B (eds.) Modern Trends in Constructive Function Theory. Contemporary Mathematics, 661. Constructive Functions 2014 - Conference in Honor of Ed Saff's 70th Birthday, Nashville, TN, USA, 26.05.2014-30.05.2014. Providence, RI, USA: American Mathematical Society, pp. 229-242. https://bookstore.ams.org/conm-661

Conference Proceeding

Cuyt A, Lee W & Tsai M (2016) A short-time Prony method for the detection of transients. In: Papadrakakis M, Papadopoulos V, Stefanou G & Plevris V (eds.) ECCOMAS Congress 2016 - VII European Congress on Computational Methods in Applied Sciences and Engineering Proceedings. VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), Crete Island, Greece, 05.06.2016-10.06.2016. Athens, Greece: Institute of Structural Analysis and Antiseismic Research, National Technical University of Athens, pp. 4313-4321. https://www.eccomas2016.org/proceedings/pdf/7676.pdf

Edited Book

Feng R, Lee W & Sato Y (eds.) (2014) Computer Mathematics -- 9th Asian Symposium (ASCM2009), Fukuoka, December 2009, 10th Asian Symposium (ASCM2012), Beijing, October 2012, Contributed Papers and Invited Talks. Berlin Heidelberg: Springer-Verlag. https://www.springer.com/gb/book/9783662437988; https://doi.org/10.1007/978-3-662-43799-5

Conference Proceeding

Peelman S, Van der Herten J, De Vos M, Lee W, Van Huffel S & Cuyt A (2013) Sparse reconstruction of correlated multichannel activity. In: 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC). 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC 2013), Osaka, Japan, 03.07.2013-07.07.2013. Piscataway, NJ, USA: IEEE, pp. 3897-3900. https://doi.org/10.1109/EMBC.2013.6610396

Conference Proceeding

Lee W (2007) From quotient-difference to generalized eigenvalues and sparse polynomial interpolation. In: SNC '07 Proceedings of the 2007 international workshop on Symbolic-numeric computation. Symbolic-Numeric Computation 2007 (SNC 2007), London, Ontario, Canada, 25.07.2007-27.07.2007. New York: ACM, pp. 110-116. https://dl.acm.org/citation.cfm?id=1277518