Department of Electrical and Computer Engineering, Rice University, Houston, TX, United States We study p-Laplacians and spectral clustering for a recently proposed hypergraph model that incorporates ...

Abstract: We revisit semi-supervised learning on hypergraphs. Same as previous approaches, our method uses a convex program whose objective function is not everywhere differentiable. We exploit the ...

Hypergraphs provide an effective abstraction for modeling multi-way group interactions among nodes, where each hyperedge can connect any number of nodes. Different from most existing studies which ...

The HyperSBM package contains functions to specify and fit Stochastic Blockmodel for hypergraphs. It allows performing model-based clustering when the relationship among nodes are not limited to ...

Abstract: This letter studies the stability of discrete-time polynomial dynamical systems on hypergraphs by utilizing the Perron-Frobenius theorem for nonnegative tensors with respect to the tensors’ ...

Fifty years ago, mathematician Paul Erdős posed a problem to friends at one of his regular tea parties. The trio thought they would be able to come up with a solution the same afternoon. It took 49 ...