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Tangent bundle convolutional learning: from manifolds to cellular sheaves and back
In this work we introduce a convolution operation over the tangent bundle of Riemann
manifolds in terms of exponentials of the Connection Laplacian operator. We define tangent …
manifolds in terms of exponentials of the Connection Laplacian operator. We define tangent …
Tangent bundle filters and neural networks: From manifolds to cellular sheaves and back
In this work we introduce a convolution operation over the tangent bundle of Riemannian
manifolds exploiting the Connection Laplacian operator. We use this convolution operation …
manifolds exploiting the Connection Laplacian operator. We use this convolution operation …
Geometric graph filters and neural networks: Limit properties and discriminability trade-offs
This paper studies the relationship between a graph neural network (GNN) and a manifold
neural network (MNN) when the graph is constructed from a set of points sampled from the …
neural network (MNN) when the graph is constructed from a set of points sampled from the …