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Frechet_Mean

Implementation of the Fréchet mean (Karcher mean) to be used as a building block in a graph convolutional layer on an spd manifold.

Todos: the forward direction occasionally does not work as it should: sometimes the iteration gets stuck. As of now, the error is simply ignored when it occurs.

in ECML/layers/gcn replace

    symmat_feats = SPDManifold.logmap_id(mat_feats)

    symmat_feats = symmat_feats.reshape(num_nodes, -1)

    out = self.propagate(edge_index, x=symmat_feats, edge_weight=edge_weight, size=None)

    out = out.reshape(num_nodes, n, n)
    
    out = SPDManifold.expmap_id(out)

by

    out = frechet_agg(to_coordinates(mat_feats), edge_index, edge_weight)
    out = to_matrix(out)

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