activity
20172026
most citedA formula for the categorical magnitude in terms of the Moore-Penrose pseudoinverse

1 citations · 2 across the 11 of their papers we have counts for

collaborators

16 papers

cs.CL2026

Representation of syntax in LLMs through the lens of linear distance and similarity-aware entropy

Juan Pablo Vigneaux, Mary Kennedy, Khalil Iskarous +2

Structural probes were introduced by Hewitt and Manning to reconstruct syntactic trees from a neural language model's latent representations. They are evaluated by calculating the…

cs.SD2026

Probing neural audio codecs for distinctions among English nuclear tunes

Juan Pablo Vigneaux, Jennifer Cole

State-of-the-art spoken dialogue models (Défossez et al. 2024; Schalkwyk et al. 2025) use neural audio codecs to "tokenize" audio signals into a lower-frequency stream of vectorial…

cs.IT2025

Entropies associated with orbits of finite groups

Ryan Leal, Jingtong Sun, Juan Pablo Vigneaux

For certain groups, parabolic subgroups appear as stabilizers of flags of sets or vector spaces. Quotients by these parabolic subgroups represent orbits of flags, and their cardina…

math.CT2025

The magnitude of categories of texts enriched by language models

Tai-Danae Bradley, Juan Pablo Vigneaux

The purpose of this article is twofold. Firstly, we use the next-token probabilities given by a language model to explicitly define a category of texts in natural language enriched…

math.CO2024

A combinatorial approach to categorical Möbius inversion and pseudoinversion

Juan Pablo Vigneaux

We use Cramer's formula for the inverse of a matrix and a combinatorial expression for the determinant in terms of paths of an associated digraph (which can be traced back to Coate…

cs.IT2023

On the entropy of rectifiable and stratified measures

Juan Pablo Vigneaux

We summarize some results of geometric measure theory concerning rectifiable sets and measures. Combined with the entropic chain rule for disintegrations (Vigneaux, 2021), they acc…