Geometric Deep Learning is one of the most emerging fields of the Machine Learning community. This website represents a collection of materials of this particular research area.

Find Out More In the last decade, Deep Learning approaches (e.g. Convolutional Neural Networks and Recurrent Neural Networks) allowed to achieve unprecedented performance on a broad range of problems coming from a variety of different fields (e.g. Computer Vision and Speech Recognition). Despite the results obtained, research on DL techniques has mainly focused so far on data defined on Euclidean domains (i.e. grids). Nonetheless, in a multitude of different fields, such as: Biology, Physics, Network Science, Recommender Systems and Computer Graphics; one may have to deal with data defined on non-Euclidean domains (i.e. graphs and manifolds). The adoption of Deep Learning in these particular fields has been lagging behind until very recently, primarily since the non-Euclidean nature of data makes the definition of basic operations (such as convolution) rather elusive. Geometric Deep Learning deals in this sense with the extension of Deep Learning techniques to graph/manifold structured data.

This website represents a collection of materials in the field of Geometric Deep Learning. We collect workshops, tutorials, publications and code, that several differet researchers has produced in the last years. Our goal is to provide a general picture of this new and emerging field, which is rapidly developing in the scientific community, thanks to the broad applicability it presents.

UCLA, 5-9 February 2018

Venice, 28 October 2017

London, 7 September 2017

Amsterdam, 9 October 2016

*CVPR Tutorial*, Honolulu, 21 July 2017

*CVPR Tutorial*, Honolulu, 21 July 2017

*Short Course*, TU Munich, June-July 2017

*SGP Tutorial*, London, June 2017

*SIGGRAPH Asia Tutorial*, Macao, December 2016

*ECCV Tutorial*, Amsterdam, October 2016

*EUROGRAPHICS Tutorial*, Lisbon, May 2016

- M. M. Bronstein, J. Bruna, Y. LeCun, A. Szlam, P. Vandergheynst, Geometric deep learning: going beyond Euclidean data,
*IEEE Signal Processing Magazine*2017**(Review paper)**

- R. Levie*, F. Monti*, X. Bresson, M. M. Bronstein, CayleyNets: Graph convolutional neural networks with complex rational spectral filters, 2017
**(CayleyNet framework)**

- O. Litany, T. Remez, E. Rodolà, A. M. Bronstein, M. M. Bronstein, Deep Functional Maps: Structured Prediction for Dense Shape Correspondence, 2017
**(FMNet framework)**

- F. Monti, X. Bresson, M. M. Bronstein, Geometric matrix completion with recurrent multi-graph neural networks,
*NIPS*2017**(CNNs on multiple graphs)**[CODE]

- Y. Seo, M. Defferrard , P. Vandergheynst, X. Bresson,
Structured Sequence Modeling with Graph Convolutional Recurrent Networks
, 2016
**(recurrent single graph CNN)**[CODE]

- L. Yi, H. Su, X. Guo, L. Guibas,
SyncSpecCNN: Synchronized Spectral CNN for 3D Shape Segmentation
,
*CVPR*2017**(spectral transformer networks)**

- F. Monti*, D. Boscaini*, J. Masci, E. Rodolà, J. Svoboda, M. M. Bronstein, Geometric deep learning on graphs and manifolds using mixture model CNNs,
*CVPR*2017**(MoNet framework)**[CODE] [VIDEO]

- T. Kipf, M. Welling, Semi-supervised Classification with Graph Convolutional Networks,
*ICLR*2017**(simplification of ChebNet)**[CODE]

- M. Defferrard, X. Bresson, P. Vandergheynst, Convolutional Neural Networks on Graphs with Fast Localized Spectral Filtering,
*NIPS*2016**(ChebNet framework)**[TF CODE] [PyTorch CODE]

- D. Boscaini, J. Masci, E. Rodolà, M. M. Bronstein, Learning shape correspondence with anisotropic convolutional neural networks,
*NIPS*2016**(Anisotropic CNN framework)**

- J. Masci, D. Boscaini, M. M. Bronstein, P. Vandergheynst, Geodesic convolutional neural networks on Riemannian manifolds,
*3dRR*2015**(Geodesic CNN framework)**

- D. Duvenaud, D. Maclaurin, J. Aguilera-Iparraguirre, R. Gomez-Bombarelli, T. Hirzel, A. Aspuru-Guzik, R. P. Adams, Convolutional Networks on Graphs for Learning Molecular Fingerprints,
*NIPS*2015**(molecular fingerprints using graph CNNs)**

- J. Atwood, D. Towsley, Diffusion-Convolutional Neural Networks, 2015

- M. Henaff, J. Bruna, Y. LeCun: Deep Convolutional Networks on Graph-Structured Data, 2015

- J. Bruna, W. Zaremba, A. Szlam, Y. LeCun, Spectral Networks and Deep Locally Connected Networks on Graphs,
*ICLR*2014**(spectral CNN on graphs)**

- F. Scarselli, M. Gori, A. C. Tsoi, M. Hagenbuchner, G. Monfardini,
The graph neural network model,
*Trans. Neural Networks*20(1):61-80, 2009**(first neural networks on graphs)**

Is your last work missing? Do you have a tutorial not listed on the website?

Please let us know!

Federico Monti

Università della Svizzera italiana

federico.monti@usi.ch