5 citations · 9 across the 11 of their papers we have counts for
15 papers
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…
Merge on workspaces as Hopf algebra Markov chain
Matilde Marcolli, David Skigin
We study the dynamical properties of a Hopf algebra Markov chain with state space the binary rooted forests with labelled leaves. This Markovian dynamical system describes the core…
Extension Condition "violations" and Merge optimality constraints
Matilde Marcolli, Richard Larson, Riny Huijbregts
We analyze, using the mathematical formulation of Merge within the Strong Minimalist Thesis framework, a set of linguistic phenomena, including head-to-head movement, phrasal affix…
Adelic Models of Percolation
Matilde Marcolli
Models of long range percolations on lattices and on hierarchical lattices are related through the use of three intermediate geometries: a 1-parameter deformation based on the powe…
Hypermagmas and Colored Operads: Heads, Phases, and Theta Roles
Matilde Marcolli, Riny Huijbregts, Richard K. Larson
We show that head functions on syntactic objects extend the magma structure to a hypermagma, with the c-command relation compatible with the magma operation and the m-command relat…
A Lie-algebraic perspective on Tree-Adjoining Grammars
Isabella Senturia, Elizabeth Xiao, Matilde Marcolli
We provide a novel mathematical implementation of tree-adjoining grammars using two combinatorial definitions of graphs. With this lens, we demonstrate that the adjoining operation…
Encoding syntactic objects and Merge operations in function spaces
Matilde Marcolli, Robert C. Berwick
We provide a mathematical argument showing that, given a representation of lexical items as functions (wavelets, for instance) in some function space, it is possible to construct a…
The Algebraic Structure of Morphosyntax
Isabella Senturia, Matilde Marcolli
Within the context of the mathematical formulation of Merge and the Strong Minimalist Thesis, we present a mathematical model of the morphology-syntax interface. In this setting, m…
Theta Theory: operads and coloring
Matilde Marcolli, Richard K. Larson
We give an explicit construction of the generating set of a colored operad that implements theta theory in the mathematical model of Minimalism in generative linguistics, in the fo…
Formal Languages and TQFTs with Defects
Luisa Boateng, Matilde Marcolli
A construction that assigns a Boolean 1D TQFT with defects to a finite state automaton was recently developed by Gustafson, Im, Kaldawy, Khovanov, and Lihn. We show that the constr…
Wormhole Renormalization: The gravitational path integral, holography, and a gauge group for topology change
Elliott Gesteau, Matilde Marcolli, Jacob McNamara
We study the Factorization Paradox from the bottom up by adapting methods from perturbative renormalization. Just as quantum field theories are plagued with loop divergences that n…
Formal languages, spin systems, and quasicrystals
Francesca Fernandes, Matilde Marcolli
We present a categorical formalism for context-free languages with morphisms given by correspondences obtained from rational transductions. We show that D0L-systems are a special c…
Spectral action and heat kernel trace for Ricci flat manifolds from stochastic flow over second quantized -differential forms
Sita Gakkhar, Matilde Marcolli
A quantum stochastic differential equation (qsde) on Fock space over differential 1-forms is given from the small "time" flow of which the trace of the connection Laplacian h…
Syntax-semantics interface: an algebraic model
Matilde Marcolli, Robert C. Berwick, Noam Chomsky
We extend our formulation of Merge and Minimalism in terms of Hopf algebras to an algebraic model of a syntactic-semantic interface. We show that methods adopted in the formulation…
Mathematical Structure of Syntactic Merge
Matilde Marcolli, Noam Chomsky, Robert Berwick
The syntactic Merge operation of the Minimalist Program in linguistics can be described mathematically in terms of Hopf algebras, with a formalism similar to the one arising in the…