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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

Conference Paper (published)

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)

Antenna position estimation through sub-sampled exponential analysis of harmonically related input signals

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

Computer Mathematics -- 9th Asian Symposium (ASCM2009), Fukuoka, December 2009, 10th Asian Symposium (ASCM2012), Beijing, October 2012, Contributed Papers and Invited Talks

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