Select Publications

Book Chapters

Wang YG; Zhu H, 2018, 'Analysis of framelet transforms on a simplex', in Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, pp. 1175 - 1189, http://dx.doi.org/10.1007/978-3-319-72456-0_54

Journal articles

Le Gia QT; Li M; Wang YG, 2021, 'Algorithm 1018: FaVeST-Fast Vector Spherical Harmonic Transforms', ACM Transactions on Mathematical Software, vol. 47, pp. 1 - 24, http://dx.doi.org/10.1145/3458470

Anh VV; Olenko A; Wang YG, 2021, 'Fractional stochastic partial differential equation for random tangent fields on the sphere', Theory of Probability and Mathematical Statistics, vol. 104, pp. 3 - 22, http://dx.doi.org/10.1090/tpms/1142

Sourisseau M; Wang YG; Womersley RS; Wu HT; Yu WH, 2021, 'Improve concentration of frequency and time (ConceFT) by novel complex spherical designs', Applied and Computational Harmonic Analysis, vol. 54, pp. 137 - 144, http://dx.doi.org/10.1016/j.acha.2021.02.003

Hamann J; Le Gia QT; Sloan IH; Wang YG; Womersley RS, 2021, 'A new probe of Gaussianity and isotropy with application to cosmic microwave background maps', International Journal of Modern Physics C, vol. 32, http://dx.doi.org/10.1142/S0129183121500844

Bodnar C; Frasca F; Wang YG; Otter N; Montúfar G; Liò P; Bronstein M, 2021, 'Weisfeiler and Lehman Go Topological: Message Passing Simplicial Networks', , http://arxiv.org/abs/2103.03212v2

Zheng X; Zhou B; Gao J; Wang YG; Lio P; Li M; Montufar G, 2021, 'How Framelets Enhance Graph Neural Networks', , http://arxiv.org/abs/2102.06986v3

Montúfar G; Wang YG, 2021, 'Distributed Learning via Filtered Hyperinterpolation on Manifolds', Foundations of Computational Mathematics, http://dx.doi.org/10.1007/s10208-021-09529-5

Zheng X; Zhou B; Wang YG; Zhuang X, 2020, 'Decimated Framelet System on Graphs and Fast G-Framelet Transforms', , http://arxiv.org/abs/2012.06922v1

Li M; Ma Z; Wang YG; Zhuang X, 2020, 'Fast Haar Transforms for Graph Neural Networks', Neural Networks, vol. 128, pp. 188 - 198, http://dx.doi.org/10.1016/j.neunet.2020.04.028

Yi K; Guo Y; Fan Y; Hamann J; Wang YG, 2020, 'Cosmo VAE: Variational Autoencoder for CMB Image Inpainting', Proceedings of the International Joint Conference on Neural Networks, http://dx.doi.org/10.1109/IJCNN48605.2020.9207123

Hallett N; Yi K; Dick J; Hodge C; Sutton G; Guang Wang Y; You J, 2020, 'Deep Learning Based Unsupervised and Semi-supervised Classification for Keratoconus', Proceedings of the International Joint Conference on Neural Networks, http://dx.doi.org/10.1109/IJCNN48605.2020.9206694

Lin SB; Wang YG; Zhou DX, 2020, 'Distributed filtered hyperinterpolation for noisy data on the sphere', SIAM Journal on Numerical Analysis, vol. 59, pp. 634 - 659, http://dx.doi.org/10.1137/19M1281095

Ma Z; Xuan J; Wang YG; Li M; Liò P, 2020, 'Path integral based convolution and pooling for graph neural networks', Advances in Neural Information Processing Systems, vol. 2020-December, http://arxiv.org/abs/2006.16811v2

Wang YG; Zhuang X, 2020, 'Tight framelets and fast framelet filter bank transforms on manifolds', Applied and Computational Harmonic Analysis, vol. 48, pp. 64 - 95, http://dx.doi.org/10.1016/j.acha.2018.02.001

Yi K; Guo Y; Hamann J; Fan Y; Wang Y, 2020, 'CosmoVAE: Variational Autoencoder for CMB Image Inpainting', IEEE Proceedings of the International Joint Conference on Neural Networks (IJCNN), http://dx.doi.org/10.1109/IJCNN48605.2020.9207123

Wang YG; Li M; Zheng M; Montufar G; Zhang X; Fan Y, 2020, 'Haar Graph Pooling', Proceedings of international conference on machine learning (ICML)

Gia QTL; Li M; Wang YG, 2019, 'FaVeST: Fast Vector Spherical Harmonic Transforms', , http://arxiv.org/abs/1908.00041v3

Li M; Broadbridge P; Olenko A; Wang YG, 2019, 'Fast Tensor Needlet Transforms for Tangent Vector Fields on the Sphere', , http://arxiv.org/abs/1907.13339v1

Wang YG; Womersley RS; Wu H-T; Yu W-H, 2019, 'Numerical computation of triangular complex spherical designs with small mesh ratio', , http://arxiv.org/abs/1907.13493v3

Ma Z; Li M; Wang Y, 2019, 'PAN: Path Integral Based Convolution for Deep Graph Neural Networks', ICML 2019 Workshop on Learning and Reasoning with Graph-Structured Representations (Oral), http://arxiv.org/abs/1904.10996v1

Gia QTL; Sloan IH; Womersley RS; Wang YG, 2019, 'Isotropic sparse regularization for spherical harmonic representations of random fields on the sphere', Applied and Computational Harmonic Analysis, http://dx.doi.org/10.1016/j.acha.2019.01.005

Anh VV; Broadbridge P; Olenko A; Wang YG, 2018, 'On approximation for fractional stochastic partial differential equations on the sphere', Stochastic Environmental Research and Risk Assessment, vol. 32, pp. 2585 - 2603, http://dx.doi.org/10.1007/s00477-018-1517-1

Wang YG; Le Gia QT; Sloan IH; Womersley RS, 2017, 'Fully discrete needlet approximation on the sphere', Applied and Computational Harmonic Analysis, vol. 43, pp. 292 - 316, http://dx.doi.org/10.1016/j.acha.2016.01.003

Le Gia QT; Sloan IH; Wang YG; Womersley RS, 2017, 'Needlet approximation for isotropic random fields on the sphere', Journal of Approximation Theory, vol. 216, pp. 86 - 116, http://dx.doi.org/10.1016/j.jat.2017.01.001

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2016, 'Random Point Sets on the Sphere—Hole Radii, Covering, and Separation', Experimental Mathematics, vol. 27, pp. 1 - 20, http://dx.doi.org/10.1080/10586458.2016.1226209

Wang YG; Sloan IH; Womersley RS, 2016, 'Riemann Localisation on the Sphere', Journal of Fourier Analysis and Applications, vol. 24, pp. 1 - 43, http://dx.doi.org/10.1007/s00041-016-9496-4

Wang Y, 2016, 'Filtered polynomial approximation on the sphere', Bulletin of the Australian Mathematical Society, vol. 93, pp. 162 - 163, http://dx.doi.org/10.1017/S000497271500132X

Cao F; Wang D; Zhu H; Wang Y, 2016, 'An iterative learning algorithm for feedforward neural networks with random weights', Information Sciences, vol. 328, pp. 546 - 557, http://dx.doi.org/10.1016/j.ins.2015.09.002

Brauchart JS; Dick J; Saff EB; Sloan IH; Wang YG; Womersley RS, 2015, 'Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces', Journal of Mathematical Analysis and Applications, vol. 431, pp. 782 - 811, http://dx.doi.org/10.1016/j.jmaa.2015.05.079

Wang Y; Cao F, 2014, 'Approximation by semigroup of spherical operators', Frontiers of Mathematics in China, vol. 9, pp. 387 - 416, http://dx.doi.org/10.1007/s11464-014-0361-y

Chen ZX; Zhu HY; Wang YG, 2013, 'A modified extreme learning machine with sigmoidal activation functions', Neural Computing and Applications, vol. 22, pp. 541 - 550, http://dx.doi.org/10.1007/s00521-012-0860-2

Wang Y; Cao F, 2011, 'Approximation by Boolean sums of Jackson operators on the sphere', Journal of Computational Analysis and Applications, vol. 13, pp. 830 - 842

Wang Y; Cao F; Yuan Y, 2011, 'A study on effectiveness of extreme learning machine', Neurocomputing, vol. 74, pp. 2483 - 2490, http://dx.doi.org/10.1016/j.neucom.2010.11.030

Yuan Y; Wang Y; Cao F, 2011, 'Optimization approximation solution for regression problem based on extreme learning machine', Neurocomputing, vol. 74, pp. 2475 - 2482, http://dx.doi.org/10.1016/j.neucom.2010.12.037

Cao F; Wang Y, 2009, 'The direct and converse inequalities for jackson-type operators on spherical cap', Journal of Inequalities and Applications, vol. 2009, http://dx.doi.org/10.1155/2009/205298

Sourisseau M; Wang YG; Womersley RS; Wu H-T; Yu W-H, 'Improve Concentration of Frequency and Time (Conceft) by Novel Complex Spherical Designs', , http://dx.doi.org/10.1101/2020.11.23.394007

Conference Papers

Wang YG; Zhuang X, 2019, 'Tight framelets on graphs for multiscale data analysis', in Proceedings of SPIE - The International Society for Optical Engineering, http://dx.doi.org/10.1117/12.2528414

Working Papers

Wang YG; Li M; Ma Z; Montufar G; Zhuang X; Fan Y, 2020, Haar graph pooling, http://dx.doi.org, http://arxiv.org/abs/1909.11580v3

Hamann J; Gia QTL; Sloan IH; Wang YG; Womersley RS, 2019, A New Probe of Gaussianity and Isotropy applied to the CMB Maps, http://dx.doi.org, http://arxiv.org/abs/1911.11442v2


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