Explore geometric deep learning applied to inverse problems on graphs in this 33-minute conference talk from the 2018 Physics Next workshop. Delve into topics like non-Euclidean geometries, physics-based geometric learning, and graph neural networks. Learn how these techniques are applied to particle physics, neutrino detection, and community detection. Discover the latest developments in computational-to-statistical gaps and supervised community detection, and gain insights into current challenges and open problems in the field.