Article
Multiscale matrix pencils for separable reconstruction problems
Cuyt A & Lee W (2024) Multiscale matrix pencils for separable reconstruction problems. Numerical Algorithms, 95, pp. 31-72. https://doi.org/10.1007/s11075-023-01564-3
Wen-shin Lee holds a bachelor's degree in mathematics from National Taiwan University (Taiwan) and a PhD in computational mathematics from North Carolina State University (USA). Before joining the University of Stirling in 2018, she held positions at the University of Antwerp (Belgium), INRIA - French National Institute for Research in Computer Science and Control (France), and the University of Waterloo (Canada). Her research background lies in computer algebra, with a specialisation in sparse interpolation and symbolic-numeric computation. Currently, her research is focused on exponential analysis and its applications in signal processing.
EXPOWER: EXPOnential Analysis EmPOWERing Innovation
PI: Dr Wen-shin Lee
Funded by: European Commission (Horizon 2020)
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Advancing exponential analysis: high-resolution information from sparse and regularly sampled data
PI: Dr Wen-shin Lee
Funded by: The Carnegie Trust
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Women in Mathematics Day
PI: Dr Anna Kirpichnikova
Funded by: London Mathematical Society
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Article
Multiscale matrix pencils for separable reconstruction problems
Cuyt A & Lee W (2024) Multiscale matrix pencils for separable reconstruction problems. Numerical Algorithms, 95, pp. 31-72. https://doi.org/10.1007/s11075-023-01564-3
Edited Proceedings
ISSAC '24: Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation
Hauenstein J, Lee W & Chen S (eds.) (2024) ISSAC '24: Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation. The 2024 International Symposium on Symbolic and Algebraic Computation, Raleigh NC USA, 16.07.2024-19.07.2024. Association for Computing Machinery. https://dl.acm.org/
Other
Exponential Analysis: Theoretical Progress and Technological Innovation
Cuyt A, Lee W, Plonka-Hoch G & Knaepkens F (2022) Exponential Analysis: Theoretical Progress and Technological Innovation. Dagstuhl Seminar 22221, Wadern, Germany Dagstuhl Reports, 12 (5), pp. 170-187. https://doi.org/10.4230/DagRep.12.5.170
Article
Validated analysis of modulated signals: From de Prony to Padé and beyond
Cuyt A, Hou Y & Lee W (2022) Validated analysis of modulated signals: From de Prony to Padé and beyond. Journal of Computational and Applied Mathematics, 413, Art. No.: 114346. https://doi.org/10.1016/j.cam.2022.114346
Simulated performance of antenna position estimation through sub-sampled exponential analysis
Weideman R, Louw R, Knaepkens F, de Villiers D, Cuyt A, Lee W & Wijnholds SJ (2022) Simulated performance of antenna position estimation through sub-sampled exponential analysis. In: 2022 International Conference on Electromagnetics in Advanced Applications (ICEAA), Cape Town, South Africa, 05.09.2022-09.09.2022. IEEE, pp. 128-132. https://doi.org/10.1109/ICEAA49419.2022.9900012
Article
Antenna Position Estimation Through Subsampled Exponential Analysis of Signals in the Near Field
Louw R, Knaepkens F, Cuyt A, Lee W, Wijnholds SJ, de Villiers DIL & Weideman R (2021) Antenna Position Estimation Through Subsampled Exponential Analysis of Signals in the Near Field. URSI Radio Science Letters, 3. https://doi.org/10.46620/21-0062
Conference Paper (published)
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 Paper (published)
Decomposing Textures Using Exponential Analysis
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
Article
VEXPA: Validated EXPonential Analysis through regular sub-sampling
Briani M, Cuyt A, Knaepkens F & Lee W (2020) VEXPA: Validated EXPonential Analysis through regular sub-sampling. Signal Processing, 177, Art. No.: 107722. https://doi.org/10.1016/j.sigpro.2020.107722
Article
Sparse multidimensional exponential analysis with an application to radar imaging
Cuyt A, Hou Y, Knaepkens F & Lee W (2020) Sparse multidimensional exponential analysis with an application to radar imaging. SIAM Journal on Scientific Computing, 42 (3), p. B675–B695. https://doi.org/10.1137/19M1278004
Article
How to get high resolution results from sparse and coarsely sampled data
Cuyt A & Lee W (2020) How to get high resolution results from sparse and coarsely sampled data. Applied and Computational Harmonic Analysis, 48 (3), pp. 1066-1087. https://doi.org/10.1016/j.acha.2018.10.001
Article
Regular sparse array direction of arrival estimation in one dimension
Knaepkens F, Cuyt A, Lee W & de Villiers DIL (2020) Regular sparse array direction of arrival estimation in one dimension. IEEE Transactions on Antennas and Propagation, 68 (5), pp. 3997-4006. https://doi.org/10.1109/TAP.2019.2963618
Article
High accuracy trigonometric approximations of the real Bessel functions of the first kind
Cuyt A, Lee W & Wu M (2020) High accuracy trigonometric approximations of the real Bessel functions of the first kind. Computational Mathematics and Mathematical Physics, 60 (1), pp. 119-127. https://doi.org/10.1134/S0965542520010078
Conference Paper (published)
Practical Performance of Regular Sparse Array Direction of Arrival Estimation in 1-D
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 Paper (published)
From exponential analysis to Padé approximation and tensor decomposition, in one and more dimensions
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
Article
Multivariate exponential analysis from the minimal number of samples
Cuyt A & Lee W (2018) Multivariate exponential analysis from the minimal number of samples. Advances in Computational Mathematics, 44 (4), pp. 987-1002. https://doi.org/10.1007/s10444-017-9570-8
Article
Faint and clustered components in exponential analysis
Cuyt A, Tsai M, Verhoye M & Lee W (2018) Faint and clustered components in exponential analysis. Applied Mathematics and Computation, 327, pp. 93-103. https://doi.org/10.1016/j.amc.2017.11.007
Conference Paper (published)
Superresolution underwater acoustics
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
Article
Deterministic sparse FFT for M-sparse vectors
Plonka G, Wannenwetsch K, Cuyt A & Lee W (2018) Deterministic sparse FFT for M-sparse vectors. Numerical Algorithms, 78 (1), pp. 133-159. https://doi.org/10.1007/s11075-017-0370-5
Conference Paper (published)
Sparse interpolation, the FFT algorithm and FIR filters
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 Paper (published)
Validated exponential analysis for harmonic sounds
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
Other
Sparse Modelling and Multi-exponential Analysis
Cuyt A, Labahn G, Sidi A & Lee W (2016) Sparse Modelling and Multi-exponential Analysis. Dagstuhl Seminar 15251, Wadern, Germany Dagstuhl Reports, 6 (6), pp. 48-69. https://doi.org/10.4230/DagRep.5.6.48
Conference Paper (published)
Sparse interpolation and rational approximation
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 Paper (published)
A short-time Prony method for the detection of transients
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
Article
On tensor decomposition, sparse interpolation and Padé approximation
Cuyt A, Lee W & Yang X (2016) On tensor decomposition, sparse interpolation and Padé approximation. Jaen Journal on Approximation, 8 (1), pp. 33-58. http://www.ujaen.es/revista/jja/pdf/pre/jja-0008-01-16-3.pdf
Article
Towards unsupervised fluorescence lifetime imaging using low dimensional variable projection
Zhang Y, Cuyt A, Lee W, Lo Bianco G, Wu G, Chen Y & Li DD (2016) Towards unsupervised fluorescence lifetime imaging using low dimensional variable projection. Optics Express, 24 (23), pp. 26777-26791. https://doi.org/10.1364/oe.24.026777
Article
Numerical reconstruction of convex polytopes from directional moments
Collowald M, Cuyt A, Hubert E, Lee W & Salazar Celis O (2015) Numerical reconstruction of convex polytopes from directional moments. Advances in Computational Mathematics, 41 (6), pp. 1079-1099. https://doi.org/10.1007/s10444-014-9401-0
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
Patent
Smart data sampling and data reconstruction
Cuyt A & Lee W (2014) Smart data sampling and data reconstruction. Issuing Office no. EP2745404B1.
Conference Paper (published)
Sparse reconstruction of correlated multichannel activity
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
Patent
Smart data sampling and data reconstruction
Cuyt A & Lee W (2013) Smart data sampling and data reconstruction. Issuing Office no. US 9,690,749 B2.
Article
Symbolic-numeric sparse interpolation of multivariate polynomials
Giesbrecht M, Labahn G & Lee W (2009) Symbolic-numeric sparse interpolation of multivariate polynomials. Journal of Symbolic Computation, 44 (8), pp. 943-959. https://doi.org/10.1016/j.jsc.2008.11.003
Article
A new algorithm for sparse interpolation of multivariate polynomials
Cuyt A & Lee W (2008) A new algorithm for sparse interpolation of multivariate polynomials. Theoretical Computer Science, 409 (2), pp. 180-185. https://doi.org/10.1016/j.tcs.2008.09.002
Conference Paper (published)
From quotient-difference to generalized eigenvalues and sparse polynomial interpolation
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