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Convolutional neural networks (CNNs) constructed natively on the sphere have been developed recently and shown to be highly effective for the analysis of spherical data.
Spherical CNNs on unstructured grids
C. Jiang, J. Huang, K. Kashinath, P. Marcus, M. Niessner, et al · 1901
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Gauge equivariant convolutional networks and the icosahedral CNN
T. Cohen, M. Weiler, B. Kicanaoglu, and M. Welling · 1902
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Geometric wavelet scattering networks on compact Riemannian manifolds
M. Perlmutter, F. Gao, G. Wolf, and M. Hirn · 1905
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Stability of graph scattering transforms
F. Gama, J. Bruna, and A. Ribeiro · 1906
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Planck 2018 results. VII. Isotropy and statistics
Planck Collaboration VII · 1906
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Understanding graph neural networks with asymmetric geometric scattering transforms
M. Perlmutter, F. Gao, G. Wolf, and M. Hirn · 1911
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Computing Fourier transforms and convolutions on the sphere
J. R. Driscoll and D. M. Jr. Healy · 1994
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Spherical wavelets: efficiently representing functions on the sphere
P. Schröder and W. Sweldens · 1995
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The lifting scheme: a construction of second generation wavelets
W. Sweldens · 1997
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Wavelets on the n-sphere and related manifolds
J.-P. Antoine and P. Vandergheynst · 1998
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Wavelets on the 2-sphere: a group theoretical approach
J.-P. Antoine and P. Vandergheynst · 1999
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Testing the Gaussianity of the COBE-DMR data with spherical wavelets
R. B. Barreiro, M. P. Hobson, A. N. Lasenby, A. J. Banday, K. M. Górski, and G. Hinshaw · 2000
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Sparse Bayesian mass-mapping with uncertainties: Full sky observations on the celestial sphere
M. A. Price, J. D. McEwen, L. Pratley, and T. D. Kitching · 2004
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Simulation of non-Gaussian cosmic microwave background maps
G. Rocha, M. P. Hobson, S. Smith, P. Ferreira, and A. Challinor · 2005
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C. Esteves, A. Makadia, and K. Daniilidis · 2006
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A directional continuous wavelet transform on the sphere
J. D. McEwen, M. P. Hobson, and A. N. Lasenby · 2006
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Localized tight frames on spheres
F. J. Narcowich, P. Petrushev, and J. D. Ward · 2006
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Wavelets, ridgelets and curvelets on the sphere
J.-L. Starck, Y. Moudden, P. Abrial, and M. Nguyen · 2006
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Fast directional continuous spherical wavelet transform algorithms
J. D. McEwen, M. P. Hobson, D. J. Mortlock, and A. N. Lasenby · 2007
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Spin needlets for cosmic microwave background polarization data analysis
D. Geller, F. K. Hansen, D. Marinucci, G. Kerkyacharian, and D. Picard · 2008
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Spherical needlets for cosmic microwave background data analysis
D. Marinucci, D. Pietrobon, A. Balbi, P. Baldi, P. Cabella, G. Kerkyacharian, P. Natoli, D. Picard, and N. Vittorio · 2008
Cited alongside, same era.
Simulating full-sky interferometric observations
J. D. McEwen and A. M. M. Scaife · 2008
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Exact reconstruction with directional wavelets on the sphere
Y. Wiaux, J. D. McEwen, P. Vandergheynst, and O. Blanc · 2008
Cited alongside, same era.
Asymptotics for spherical needlets
P. Baldi, G. Kerkyacharian, D. Marinucci, and D. Picard · 2009
Simple proposal for radial 3D needlets
C. Durastanti, Y. Fantaye, F. Hansen, D. Marinucci, and I. Z. Pesenson · 2014
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On spin scale-discretised wavelets on the sphere for the analysis of cmb polarisation
J. D. McEwen, M. Buettner, B. Leistedt, H. V. Peiris, P. Vandergheynst, and Y. Wiaux · 2014
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Planck 2013 results. XXIII. Isotropy and statistics of the CMB
Planck Collaboration XXIII · 2014
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Adam: A method for stochastic gradient descent
D. P. Kingma and J. L. Ba · 2015
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Cited alongside, same era.
Spin Needlets Spectral Estimation
D. Geller, X. Lan, and D. Marinucci · 2009
Cited alongside, same era.
Polarized wavelets and curvelets on the sphere
J.-L. Starck, Y. Moudden, and J. Bobin · 2009
Cited alongside, same era.
D. Geller and D. Marinucci · 2010
Cited alongside, same era.
Classification with scattering operators
J. Bruna and S. Mallat · 2011
Cited alongside, same era.
D. Geller and D. Marinucci · 2011
Cited alongside, same era.
Data compression on the sphere
J. D. McEwen, Y. Wiaux, and D. M. Eyers · 2011
Cited alongside, same era.
Spherical 3D isotropic wavelets
F. Lanusse, A. Rassat, and J.-L. Starck · 2012
Cited alongside, same era.
B. Leistedt, J. D. McEwen, T. D. Kitching, and H. V. Peiris · 2015
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Understanding deep convolutional networks
S. Mallat · 2016
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Spherical convolutions and their application in molecular modelling
W. Boomsma and J. Frellsen · 2017
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Wavelet reconstruction of E E and B B modes for CMB polarisation and cosmic shear analyses
B. Leistedt, J. D. McEwen, M. Büttner, and H. V. Peiris · 2017
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Learning SO(3) equivariant representations with spherical CNNs
C. Esteves, C. Allen-Blanchette, A. Makadia, and K. Daniilidis · 2018
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Clebsch-Gordan nets: a fully Fourier space spherical convolutional neural network
R. Kondor, Z. Lin, and S. Trivedi · 2018
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Localisation of directional scale-discretised wavelets on the sphere
J. D. McEwen, C. Durastanti, and Y. Wiaux · 2018
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Joint time–frequency scattering
J. Andén, V. Lostanlen, and S. Mallat · 2019
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Geometric scattering for graph data analysis
F. Gao, G. Wolf, and M. Hirn · 2019
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N. Perraudin, M. Defferrard, T. Kacprzak, and R. Sgier · 2019
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Planck 2018 results. I. Overview, and the cosmological legacy of Planck
Planck Collaboration I · 2020
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Graph convolutional neural networks via scattering
D. Zou and G. Lerman · 2020
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Efficient generalized spherical CNNs
O. J. Cobb, C. G. R. Wallis, A. N. Mavor-Parker, A. Marignier, M.A. Price, M. d’Avezac, and J. D. McEwen · 2021
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Posterior sampling for inverse imaging problems on the sphere
A. Marignier, J. D. McEwen, A. M. G. Ferreira, and T. Kitching · 2021
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