#ML
Geometric Deep Learning is an attempt to unify deep learning using geometry. Instead of building deep neural networks ignoring the symmetries in the data and leaving it to be discovered by the network, we apply the symmetries in the problem to the network. For example, instead of flattening the matrix of a cat image and have some predetermined order of the pixels, we apply a translational transformation on the 2D image and the cat should also be a cat without any doubt. This transformation can be enforced in the network.
BTW, If you come from a physics background, it is most likely that you have heard about the symmetries in physical theories like Noether's theorem. In the history of physics, there was an era of many theories yet most of them are connected or even unified under the umbrella of geometry. Geometric deep learning is another "benevolent propaganda" based on a similar idea.
References:
1. Bronstein, Michael. “ICLR 2021 Keynote - ‘Geometric Deep Learning: The Erlangen Programme of ML’ - M Bronstein.” Video. YouTube, June 8, 2021. https://www.youtube.com/watch?v=w6Pw4MOzMuo.
2. Bronstein MM, Bruna J, LeCun Y, Szlam A, Vandergheynst P. Geometric deep learning: going beyond Euclidean data. arXiv [cs.CV]. 2016. Available: http://arxiv.org/abs/1611.08097
3. Bronstein MM, Bruna J, Cohen T, Veličković P. Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges. arXiv [cs.LG]. 2021. Available: http://arxiv.org/abs/2104.13478
Geometric Deep Learning is an attempt to unify deep learning using geometry. Instead of building deep neural networks ignoring the symmetries in the data and leaving it to be discovered by the network, we apply the symmetries in the problem to the network. For example, instead of flattening the matrix of a cat image and have some predetermined order of the pixels, we apply a translational transformation on the 2D image and the cat should also be a cat without any doubt. This transformation can be enforced in the network.
BTW, If you come from a physics background, it is most likely that you have heard about the symmetries in physical theories like Noether's theorem. In the history of physics, there was an era of many theories yet most of them are connected or even unified under the umbrella of geometry. Geometric deep learning is another "benevolent propaganda" based on a similar idea.
References:
1. Bronstein, Michael. “ICLR 2021 Keynote - ‘Geometric Deep Learning: The Erlangen Programme of ML’ - M Bronstein.” Video. YouTube, June 8, 2021. https://www.youtube.com/watch?v=w6Pw4MOzMuo.
2. Bronstein MM, Bruna J, LeCun Y, Szlam A, Vandergheynst P. Geometric deep learning: going beyond Euclidean data. arXiv [cs.CV]. 2016. Available: http://arxiv.org/abs/1611.08097
3. Bronstein MM, Bruna J, Cohen T, Veličković P. Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges. arXiv [cs.LG]. 2021. Available: http://arxiv.org/abs/2104.13478
