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Motifs in Temporal Networks
Ashwin Paranjape, Austin R. Benson, Jure Leskovec
Networks are a fundamental tool for modeling complex systems in a variety of domains including social and communication networks as well as biology and neuroscience. Small subgraph…
Higher-order organization of complex networks
Austin R. Benson, David F. Gleich, Jure Leskovec
Networks are a fundamental tool for understanding and modeling complex systems in physics, biology, neuroscience, engineering, and social science. Many networks are known to exhibi…
General Tensor Spectral Co-clustering for Higher-Order Data
Tao Wu, Austin R. Benson, David F. Gleich
Spectral clustering and co-clustering are well-known techniques in data analysis, and recent work has extended spectral clustering to square, symmetric tensors and hypermatrices de…
The Spacey Random Walk: a Stochastic Process for Higher-order Data
Austin R. Benson, David F. Gleich, Lek-Heng Lim
Random walks are a fundamental model in applied mathematics and are a common example of a Markov chain. The limiting stationary distribution of the Markov chain represents the frac…