4 papers
Tree-Structured Orthonormal Decomposition of the Aitchison Simplex
Daisuke Yamada, Qijun Zhang, Travis Pence +3
Compositional data -- vectors encoding relative proportions -- arise across scientific domains, including ecology, geochemistry, and genomics. The features in these data often come…
Recursive Binding on a Budget: Subspace Carving in Order-p Tensor Memories
Travis Pence, Daisuke Yamada, Vikas Singh
Tensor Product Representations provide the structural fidelity required for symbolic reasoning in models but suffer from exponential dimensionality growth when encoding deep recurs…
Composing Linear Layers from Irreducibles
Travis Pence, Daisuke Yamada, Vikas Singh
Contemporary large models often exhibit behaviors suggesting the presence of low-level primitives that compose into modules with richer functionality, but these fundamental buildin…
A New Dominating Set Game on Graphs
Sean Fiscus, Glenn Hurlbert, Eric Myzelev +1
We introduce a new two-player game on graphs, in which players alternate choosing vertices until the set of chosen vertices forms a dominating set. The last player to choose a vert…