Epiplexity and Graph Wiring: An Empirical Study for the Design of a Generic Algorithm

An empirical study of how graph-construction parameters shape the design of a generic spectral algorithm over embedding data.

2026 Published on Authorea

What the study is about

The study examines how the parameters that wire a feature-space graph (neighbour selection and weighting) determine the behaviour of spectral algorithms built on that graph. Its guiding claim, quoted from the paper’s listing: “Every dataset generates information, every manifold draws a unique surface.”

In the terminology of this site, the study evaluates graph wiring choices — how edges are selected and weighted before the Laplacian is computed — and grounds the concept of epiplexity: the structural information a dataset generates. These construction choices are the inputs that the bounded spectral scores used in spectral vector search are built on.

Relation to other work

Note on citation metadata

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