TensorSuite

Real Tensor

HyperGraph

This TensorSuite collection includes element-wise, symmetric tensors from hypergraph workloads published on https://www.cs.cornell.edu/~arb/data/, where interactions involve more than two nodes simultaneously. Each dataset is represented across multiple tensor orders, from 2D up to higher dimensions depending on the dataset.

coauth-DBLP

A higher-order network built from DBLP publications, where nodes are authors and each simplex represents a co-authored publication. Timestamps are not considered; only unique simplices are retained during construction. Simplices are restricted to at most 25 nodes [1], while 1D means singletons. Please also cite [1] when using these tensors.

A summary JSON file is provided for all the 1D–25D tensors here, with dimension size 1,930,378 for all tensors.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
NNZ 297,129693,364667,302419,431205,96593,14740,79120,38110,9186,2993,6012,3841,5841,13084061242132929121919413812110992
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coauth-MAG-Geology

A higher-order network built from the Microsoft Academic Graph [2], where nodes are authors and each simplex represents a co-authored publication tagged with "Geology." Timestamps are not considered; only unique simplices are retained during construction. Simplices are restricted to at most 25 nodes [1], while 1D means singletons. Please also cite [1] and [2] when using these tensors.

A summary JSON file is provided for all the 1D–25D tensors here, with dimension size 1,261,129 for all tensors.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
NNZ 295,379275,736227,950159,50999,14058,99533,70220,13011,7497,4804,2582,9031,7921,334891727488420333246176176144129108
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coauth-MAG-History

A higher-order network built from the Microsoft Academic Graph [2], where nodes are authors and each simplex represents a co-authored publication tagged with "History." Timestamps are not considered; only unique simplices are retained during construction. Simplices are restricted to at most 25 nodes [1], while 1D means singletons. Please also cite [1] and [2] when using these tensors.

A summary JSON file is provided for all the 1D–25D tensors here, with dimension size 1,034,874 for all tensors.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
NNZ 131,37570,80437,11821,98714,98610,6138,4036,5415,4554,5563,9173,2632,8682,3782,1691,8421,6781,4281,2721,1241,024911807685618
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References

[1] A. R. Benson, R. Abebe, M. T. Schaub, A. Jadbabaie, and J. Kleinberg, "Simplicial Closure and Higher-Order Link Prediction," Proceedings of the National Academy of Sciences (PNAS), 2018. DOI

[2] A. Sinha, Z. Shen, Y. Song, H. Ma, D. Eide, B.-J. Hsu, and K. Wang, "An Overview of Microsoft Academic Service (MAS) and Applications," Proceedings of WWW, 2015. DOI