Yu Guang Wang

Adjunct Associate Lecturer

I am an adjunct associate lecturer at UNSW Sydney. I am also a scientist at Max Planck Institute for Mathematics in Sciences, in Mathematics Machine Learning group, hosted by Prof Guido Montúfar. My research interests lie in computational mathematics, statistics, machine learning, and data science. In particular, I am working on deep learning, graph neural networks, applied harmonic analysis, Bayesian inference, information geometry, random fields, numerical analysis, and applications to healthcare, biomedical technology and cosmology. I obtained my PhD in applied mathematics from University of New South Wales under supervision of Prof Ian Sloan and Rob Womersley. I have been a semester-long visitor of IPAM, UCLA (2019) and ICERM, Brown University (2018).

publications

Book Chapters
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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
2018
Conference Papers
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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
2019
Journal articles
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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
2021
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
2021
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
2020
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
2020
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
2020
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
2020
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
2020
Wang YG; Li M; Zheng M; Montufar G; Zhang X; Fan Y, 2020, 'Haar Graph Pooling', Proceedings of international conference on machine learning (ICML)
2020
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
2020
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
2020
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
2019
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
2018
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
2017
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
2017
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
2016
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
2016
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
2016
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
2016
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
2015
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
2014
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
2013
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
2011
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
2011
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
2011
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
2009
Ma Z; Li M; Wang Y, '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
Montúfar G; Wang YG, 'Distributed Learning via Filtered Hyperinterpolation on Manifolds', , http://arxiv.org/abs/2007.09392v1
Wang YG; Womersley RS; Wu H-T; Yu W-H, 'Numerical computation of triangular complex spherical designs with small mesh ratio', , http://arxiv.org/abs/1907.13493v3
Gia QTL; Li M; Wang YG, 'FaVeST: Fast Vector Spherical Harmonic Transforms', , http://arxiv.org/abs/1908.00041v3
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
Li M; Broadbridge P; Olenko A; Wang YG, 'Fast Tensor Needlet Transforms for Tangent Vector Fields on the Sphere', , http://arxiv.org/abs/1907.13339v1
Zheng X; Zhou B; Gao J; Wang YG; Lio P; Li M; Montufar G, 'How Framelets Enhance Graph Neural Networks', , http://arxiv.org/abs/2102.06986v3
Bodnar C; Frasca F; Wang YG; Otter N; Montúfar G; Liò P; Bronstein M, 'Weisfeiler and Lehman Go Topological: Message Passing Simplicial Networks', , http://arxiv.org/abs/2103.03212v2
Zheng X; Zhou B; Wang YG; Zhuang X, 'Decimated Framelet System on Graphs and Fast G-Framelet Transforms', , http://arxiv.org/abs/2012.06922v1
Working Papers
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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
2020
Hamann J; Gia QTL; Sloan IH; Wang YG; Womersley RS, A New Probe of Gaussianity and Isotropy applied to the CMB Maps, http://dx.doi.org, http://arxiv.org/abs/1911.11442v2