Cayley graphs, constructed from the algebraic structure of groups, provide a natural framework for exploring complex combinatorial properties. In these graphs, vertices represent group elements ...

“This is not something that seems plausible,” said Madhu Sudan of Harvard University. “This result suddenly says you can do it.” Most prior methods for encoding data relied on randomness in some form.

A group of mutual acquaintances or strangers is represented by a structure called a clique: a set of vertices connected by edges of the same color. The Ramsey number r (s, t) is the minimum number of ...

Multimodal analysis of Magnetic Resonance Imaging (MRI) data enables leveraging complementary information across multiple imaging modalities that may be incomplete when using a single modality. For ...

High sparse Knowledge Graph is a key challenge to solve the Knowledge Graph Completion task. Due to the sparsity of the KGs, there are not enough first-order neighbors to learn the features of ...

Francis T. Durso, Cornelia B. Rea, Tom Dayton, Graph-Theoretic Confirmation of Restructuring during Insight, Psychological Science, Vol. 5, No. 2 (Mar., 1994), pp. 94-98 ...

Avanti Athreya, Minh Tang, Youngser Park, Carey E. Priebe, On Estimation and Inference in Latent Structure Random Graphs, Statistical Science, Vol. 36, No. 1 ...

One can see with TORCH_LOGS="trace_source,graph_code,+dynamo" python test_torch_library.py that dynamo does not go into torch.ops.felix.felix_operator.

Use No-Code Knowledge Graphs to Build an Enterprise Data Mesh Download KgBase’s Vision Paper to learn how to build the ultimate enterprise knowledge system: a federated mesh of independently ...