Sept. 2, 2022, 1:12 a.m. | James Kahn, Ilias Tsaklidis, Oskar Taubert, Lea Reuter, Giulio Dujany, Tobias Boeckh, Arthur Thaller, Pablo Goldenzweig, Florian Bernlochner, Achim St

cs.LG updates on arXiv.org arxiv.org

In this work, we present a neural approach to reconstructing rooted tree
graphs describing hierarchical interactions, using a novel representation we
term the Lowest Common Ancestor Generations (LCAG) matrix. This compact
formulation is equivalent to the adjacency matrix, but enables learning a
tree's structure from its leaves alone without the prior assumptions required
if using the adjacency matrix directly. Employing the LCAG therefore enables
the first end-to-end trainable solution which learns the hierarchical structure
of varying tree sizes directly, using …

arxiv learning physics tree

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