Dr Yu Guang Wang

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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).

Phone

9385 7076/4239

E-mail

yuguang.wang@unsw.edu.au

Location

School of Mathematics and Statistics UNSW Sydney NSW 2052 The Red Centre Room 2075

Book Chapters | 2022

Hallett N; Hodge C; You JJ; Wang YG; Sutton G, 2022, 'Artificial Intelligence in the Diagnosis and Management of Keratoconus', in Keratoconus: Diagnosis and Treatment, Springer Nature Singapore, pp. 275 - 289, http://dx.doi.org/10.1007/978-981-19-4262-4_22

Book Chapters | 2018

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 | 2023

Chen H; Wang YG; Xiong H, 2023, 'Lower and upper bounds for numbers of linear regions of graph convolutional networks', Neural Networks, 168, pp. 394 - 404, http://dx.doi.org/10.1016/j.neunet.2023.09.025

Journal articles | 2023

Li M; Kang L; Xiong Y; Wang YG; Fan G; Tan P; Hong L, 2023, 'SESNet: sequence-structure feature-integrated deep learning method for data-efficient protein engineering', Journal of Cheminformatics, 15, http://dx.doi.org/10.1186/s13321-023-00688-x

Journal articles | 2023

Liu Y; Pan S; Wang YG; Xiong F; Wang L; Chen Q; Lee VCS, 2023, 'Anomaly Detection in Dynamic Graphs via Transformer', IEEE Transactions on Knowledge and Data Engineering, 35, pp. 12081 - 12094, http://dx.doi.org/10.1109/TKDE.2021.3124061

Journal articles | 2023

Wang YG; Womersley RS; Wu HT; Yu WH, 2023, 'Numerical computation of triangular complex spherical designs with small mesh ratio', Journal of Computational and Applied Mathematics, 421, http://dx.doi.org/10.1016/j.cam.2022.114796

Journal articles | 2023

Zheng X; Zhou B; Li M; Wang YG; Gao J, 2023, 'MATHNET: Haar-like wavelet multiresolution analysis for graph representation learning', Knowledge-Based Systems, 273, http://dx.doi.org/10.1016/j.knosys.2023.110609

Journal articles | 2022

Montúfar G; Wang YG, 2022, 'Distributed Learning via Filtered Hyperinterpolation on Manifolds', Foundations of Computational Mathematics, 22, pp. 1219 - 1271, http://dx.doi.org/10.1007/s10208-021-09529-5

Journal articles | 2022

Wang Y; Wang YG; Hu C; Li M; Fan Y; Otter N; Sam I; Gou H; Hu Y; Kwok T; Zalcberg J; Boussioutas A; Daly RJ; Montúfar G; Liò P; Xu D; Webb GI; Song J, 2022, 'Cell graph neural networks enable the precise prediction of patient survival in gastric cancer', npj Precision Oncology, 6, http://dx.doi.org/10.1038/s41698-022-00285-5

Journal articles | 2022

Zheng X; Zhou B; Wang YG; Zhuang X, 2022, 'Decimated Framelet System on Graphs and Fast G-Framelet Transforms', Journal of Machine Learning Research, 23

Journal articles | 2022

Zhou B; Zheng X; Wang YG; Li M; Gao J, 2022, 'Embedding graphs on Grassmann manifold', Neural Networks, 152, pp. 322 - 331, http://dx.doi.org/10.1016/j.neunet.2022.05.001

Journal articles | 2021

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, 104, pp. 3 - 22, http://dx.doi.org/10.1090/TPMS/1142

Journal articles | 2021

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

Journal articles | 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, 32, http://dx.doi.org/10.1142/S0129183121500844

Journal articles | 2021

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

Journal articles | 2021

Ma Z; Xuan J; Wang YG; Li M; LiÃ² P, 2021, 'Path integral based convolution and pooling for graph neural networksThis article is an updated version of: Ma Z, Xuan J, Wang Y G, Li M and LiÃ² P 2020 Path integral based convolution and pooling for graph neural networks Advances in Neural Information Processing Systems vol 33 ed H Larochelle, M Ranzato, R Hadsell, M F Balcan and H Lin (New York: Curran Associates) pp 16421–33.', Journal of Statistical Mechanics: Theory and Experiment, 2021, http://dx.doi.org/10.1088/1742-5468/ac3ae4

Journal articles | 2021

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, 54, pp. 137 - 144, http://dx.doi.org/10.1016/j.acha.2021.02.003

Journal articles | 2021

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

Journal articles | 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

Journal articles | 2020

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

Journal articles | 2020

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

Journal articles | 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, 2020-December

Journal articles | 2020

Sourisseau M; Wang YG; Womersley RS; Wu H-T; Yu W-H, 2020, 'Improve Concentration of Frequency and Time (Conceft) by Novel Complex Spherical Designs', , http://dx.doi.org/10.1101/2020.11.23.394007

Journal articles | 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), 119, pp. 9952 - 9962, http://proceedings.mlr.press/v119/wang20m.html

Journal articles | 2020

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

Journal articles | 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

Journal articles | 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)

Journal articles | 2020

Zheng X; Zhou B; Wang YG; Zhuang X, 2020, 'Decimated Framelet System on Graphs and Fast G-Framelet Transforms', , http://arxiv.org/abs/2012.06922v2

Journal articles | 2019

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

Journal articles | 2019

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

Journal articles | 2019

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

Journal articles | 2019

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

Journal articles | 2019

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

Journal articles | 2018

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, 32, pp. 2585 - 2603, http://dx.doi.org/10.1007/s00477-018-1517-1

Journal articles | 2018

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2018, 'Random Point Sets on the Sphere-Hole Radii, Covering, and Separation', EXPERIMENTAL MATHEMATICS, 27, pp. 62 - 81, http://dx.doi.org/10.1080/10586458.2016.1226209

Journal articles | 2018

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2018, 'Random Point Sets on the Sphere—Hole Radii, Covering, and Separation', Experimental Mathematics, 27, pp. 62 - 81, http://dx.doi.org/10.1080/10586458.2016.1226209

Journal articles | 2018

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2018, 'Random Point Sets on the Sphere—Hole Radii, Covering, and Separation', Experimental Mathematics, 27, pp. 62 - 81, http://dx.doi.org/10.1080/10586458.2016.1226209

Journal articles | 2018

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2018, 'Random Point Sets on the Sphere—Hole Radii, Covering, and Separation', Experimental Mathematics, 27, pp. 62 - 81, http://dx.doi.org/10.1080/10586458.2016.1226209

Journal articles | 2017

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

Journal articles | 2017

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

Journal articles | 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, 27, pp. 1 - 20, http://dx.doi.org/10.1080/10586458.2016.1226209

Journal articles | 2016

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

Journal articles | 2016

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

Journal articles | 2016

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

Journal articles | 2015

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, 431, pp. 782 - 811, http://dx.doi.org/10.1016/j.jmaa.2015.05.079

Journal articles | 2015

Brauchart JS; Reznikov AB; Saff EB; Sloan IH; Wang YG; Womersley RS, 2015, 'Random Point Sets on the Sphere --- Hole Radii, Covering, and Separation', , http://arxiv.org/abs/1512.07470v2

Journal articles | 2014

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

Journal articles | 2013

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

Journal articles | 2011

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

Journal articles | 2011

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

Journal articles | 2011

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

Journal articles | 2009

Cao F; Wang Y, 2009, 'The direct and converse inequalities for jackson-type operators on spherical cap', Journal of Inequalities and Applications, 2009, http://dx.doi.org/10.1155/2009/205298
Working Papers | 2022

Yi K; Chen J; Zhou B; Lio P; Fan Y; Hamann J, 2022, Approximate Equivariance SO(3) Needlet Convolution, http://dx.doi.org, https://arxiv.org/abs/2206.10385

Working Papers | 2020

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

Working Papers | 2019

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
Conference Papers | 2023

Li M; Sonoda S; Cao F; Wang YG; Liang J, 2023, 'How Powerful are Shallow Neural Networks with Bandlimited Random Weights?', in Proceedings of Machine Learning Research, pp. 19360 - 19384

Preprints | 2023

Liu X; Zhou B; Zhang C; Wang YG, 2023, Framelet Message Passing, , http://arxiv.org/abs/2302.14806v1

Preprints | 2023

Yi K; Zhou B; Shen Y; Liò P; Wang YG, 2023, Graph Denoising Diffusion for Inverse Protein Folding, , http://arxiv.org/abs/2306.16819v2

Conference Papers | 2023

Zhou B; Jiang Y; Wang Y; Liang J; Gao J; Pan S; Zhang X, 2023, 'Robust Graph Representation Learning for Local Corruption Recovery', in ACM Web Conference 2023 - Proceedings of the World Wide Web Conference, WWW 2023, pp. 438 - 448, http://dx.doi.org/10.1145/3543507.3583399

Conference Papers | 2022

Banerjee PK; Karhadkar K; Wang YG; Alon U; Montufar G, 2022, 'Oversquashing in GNNs through the lens of information contraction and graph expansion', in 2022 58th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2022, http://dx.doi.org/10.1109/Allerton49937.2022.9929363

Preprints | 2022

Chen H; Wang YG; Xiong H, 2022, Lower and Upper Bounds for Numbers of Linear Regions of Graph Convolutional Networks, , http://arxiv.org/abs/2206.00228v1

Preprints | 2022

Shen Y; Zhou B; Xiong X; Gao R; Wang YG, 2022, How GNNs Facilitate CNNs in Mining Geometric Information from Large-Scale Medical Images, , http://arxiv.org/abs/2206.07599v1

Preprints | 2022

Wang Y; Yi K; Liu X; Wang YG; Jin S, 2022, ACMP: Allen-Cahn Message Passing for Graph Neural Networks with Particle Phase Transition, , http://arxiv.org/abs/2206.05437v3

Preprints | 2022

Zhou B; Jiang Y; Wang YG; Liang J; Gao J; Pan S; Zhang X, 2022, Robust Graph Representation Learning for Local Corruption Recovery, , http://arxiv.org/abs/2202.04936v4

Conference Papers | 2022

Zhou B; Liu X; Liu Y; Huang Y; Liò P; Wang YG, 2022, 'Well-conditioned Spectral Transforms for Dynamic Graph Representation', in Proceedings of Machine Learning Research

Conference Papers | 2021

Bodnar C; Frasca F; Otter N; Wang YG; Liò P; Montúfar G; Bronstein M, 2021, 'Weisfeiler and Lehman Go Cellular: CW Networks', in Advances in Neural Information Processing Systems, pp. 2625 - 2640

Conference Papers | 2021

Bodnar C; Frasca F; Wang YG; Otter N; Montúfar G; Liò P; Bronstein MM, 2021, 'Weisfeiler and Lehman Go Topological: Message Passing Simplicial Networks', in Proceedings of Machine Learning Research, pp. 1026 - 1037

Conference Papers | 2021

Zheng X; Zhou B; Gao J; Wang YG; Liò P; Li M; Montúfar G, 2021, 'How Framelets Enhance Graph Neural Networks', in Proceedings of Machine Learning Research, pp. 12761 - 12771

Preprints | 2021

Zhou B; Li R; Zheng X; Wang YG; Gao J, 2021, Graph Denoising with Framelet Regularizer, , http://arxiv.org/abs/2111.03264v1

Preprints | 2021

Zhou B; Liu X; Liu Y; Huang Y; Liò P; Wang Y, 2021, Spectral Transform Forms Scalable Transformer, , http://arxiv.org/abs/2111.07602v1

Conference Papers | 2019

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

Dr Yu Guang Wang

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