5 research outputs found
Recurrently Predicting Hypergraphs
This work considers predicting the relational structure of a hypergraph for a
given set of vertices, as common for applications in particle physics,
biological systems and other complex combinatorial problems. A problem arises
from the number of possible multi-way relationships, or hyperedges, scaling in
for a set of elements. Simply storing an indicator
tensor for all relationships is already intractable for moderately sized ,
prompting previous approaches to restrict the number of vertices a hyperedge
connects. Instead, we propose a recurrent hypergraph neural network that
predicts the incidence matrix by iteratively refining an initial guess of the
solution. We leverage the property that most hypergraphs of interest are
sparsely connected and reduce the memory requirement to ,
where is the maximum number of positive edges, i.e., edges that actually
exist. In order to counteract the linearly growing memory cost from training a
lengthening sequence of refinement steps, we further propose an algorithm that
applies backpropagation through time on randomly sampled subsequences. We
empirically show that our method can match an increase in the intrinsic
complexity without a performance decrease and demonstrate superior performance
compared to state-of-the-art models