11 papers
Linguistic Holonomy and Statistical Watermarks: Inner Geometry of Meaning-Preserving Transformations
Daniele Corradetti
Statistical watermarks for language models live in the freedom of the signifier: they choose among tokens that are nearly equivalent in meaning, and they are therefore eroded by ex…
Integral Planes and Unit-Norm Polytopes
Daniele Corradetti
We introduce and study integral planes associated with crystallographic and non-crystallographic integral systems in real composition algebras. For an integral order $\Order$ in su…
Non-crystallographic systems of integers over composition algebras
Daniele Corradetti
In this work we revisit classical systems of integers inside the real normed division algebras from the point of view of finite norm shells and root systems. Building on the icosia…
Integral Shell Polytopes of Composition Algebras
Daniele Corradetti
Integral systems in real composition algebras give rise to finite metric configurations whose geometry is linked to both regular polytopes and root-systems. In this work we investi…
Integral elements of Okubo algebra and the E8-lattice
Daniele Corradetti
In this work we study the interplay between the Coxeter-Dickson -order, the para-octonions, and the real Okubo algebra. We first explain why a usual rotation presentation of…
Learning Hippo: Multi-attractor Dynamics and Stability Effects in a Biologically Detailed CA3 Extension of Hopfield Networks
Daniele Corradetti, Renato Corradetti
We present a biologically detailed extension of the classical Hopfield/Marr auto-associative memory model for CA3, implementing ten populations (two asymmetric pyramidal subtypes,…