5 papers
The Topological Structures of the Orders of Hypergraphs
Robert E. Green, Cliff A. Joslyn, Audun Myers +2
We provide first a categorical exploration of, and then completion of the mapping of the relationships among, three fundamental perspectives on binary relations: as the incidence m…
Reproducing Kernel Hilbert Space Pruning for Sparse Hyperspectral Abundance Prediction
Michael G. Rawson, Timothy Doster
Hyperspectral measurements from long range sensors can give a detailed picture of the items, materials, and chemicals in a scene but analysis can be difficult, slow, and expensive…
Formal Concept Lattice Representations and Algorithms for Hypergraphs
Michael G. Rawson, Audun Myers, Robert Green +2
There is increasing focus on analyzing data represented as hypergraphs, which are better able to express complex relationships amongst entities than are graphs. Much of the critica…
Fast computation of permutation equivariant layers with the partition algebra
Charles Godfrey, Michael G. Rawson, Davis Brown +1
Linear neural network layers that are either equivariant or invariant to permutations of their inputs form core building blocks of modern deep learning architectures. Examples incl…
Entropic Hyper-Connectomes Computation and Analysis
Michael G. Rawson
Brain function and connectivity is a pressing mystery in medicine related to many diseases. Neural connectomes have been studied as graphs with graph theory methods including topol…