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Found 17 papers, 2 papers with code
Syntax-semantics interface: an algebraic model
We extend our formulation of Merge and Minimalism in terms of Hopf algebras to an algebraic model of a syntactic-semantic interface.
Gabor frames and higher dimensional boundaries in signal analysis on manifolds
We provide a construction of Gabor frames that encode local linearizations of a signal detected on a curved smooth manifold of arbitrary dimension, with Gabor filters that can detect the presence of higher-dimensional boundaries in the manifold signal.
Old and New Minimalism: a Hopf algebra comparison
In this paper we compare some old formulations of Minimalism, in particular Stabler's computational minimalism, and Chomsky's new formulation of Merge and Minimalism, from the point of view of their mathematical description in terms of Hopf algebras.
Mathematical Structure of Syntactic Merge
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 physics of renormalization.
Categorical Hopfield Networks
The special case discussed here is based on computational resources (computational models of neurons) as objects in a category of DNNs, with a simple choice of the endofunctors defining the Hopfield equations that reproduce the usual updating of the weights in DNNs by gradient descent.
Gabor frames from contact geometry in models of the primary visual cortex
We analyze the interplay between contact geometry and Gabor filters signal analysis in geometric models of the primary visual cortex.
Syntactic structures and the general Markov models
We study phylogenetic signal present in syntactic information by considering the syntactic structures data from Longobardi (2017b), Collins (2010), Ceolin et al. (2020) and Koopman (2011).
Topological Analysis of Syntactic Structures
We use the persistent homology method of topological data analysis and dimensional analysis techniques to study data of syntactic structures of world languages.
Phylogenetics of Indo-European Language families via an Algebro-Geometric Analysis of their Syntactic Structures
Using Phylogenetic Algebraic Geometry, we analyze computationally the phylogenetic tree of subfamilies of the Indo-European language family, using data of syntactic structures.
Syntactic Structures and Code Parameters
We assign binary and ternary error-correcting codes to the data of syntactic structures of world languages and we study the distribution of code points in the space of code parameters.
Syntactic Phylogenetic Trees
In this paper we identify several serious problems that arise in the use of syntactic data from the SSWL database for the purpose of computational phylogenetic reconstruction.
Semantic Spaces
In particular, in this paper we consider the Vector Space Model of semantics based on frequency matrices, as used in Natural Language Processing.
Prevalence and recoverability of syntactic parameters in sparse distributed memories
We propose a new method, based on Sparse Distributed Memory (Kanerva Networks), for studying dependency relations between different syntactic parameters in the Principles and Parameters model of Syntax.
Spin Glass Models of Syntax and Language Evolution
Using the SSWL database of syntactic parameters of world languages, and the MIT Media Lab data on language interactions, we construct a spin glass model of language evolution.
Persistent Topology of Syntax
We study the persistent homology of the data set of syntactic parameters of the world languages.
Principles and Parameters: a coding theory perspective
The code parameters of the resulting code can be compared with some classical bounds in coding theory: the asymptotic bound, the Gilbert-Varshamov bound, etc.
