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09/08/2023
Gabor frames and higher dimensional boundaries in signal analysis on manifolds
We provide a construction of Gabor frames that encode local linearizatio...
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06/17/2023
Old and New Minimalism: a Hopf algebra comparison
In this paper we compare some old formulations of Minimalism, in particu...
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05/29/2023
Mathematical Structure of Syntactic Merge
The syntactic Merge operation of the Minimalist Program in linguistics c...
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12/09/2022
Computability questions in the sphere packing problem
We consider the sets of dimensions for which there is an optimal sphere ...
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12/30/2021
Quantum Operads
The most standard description of symmetries of a mathematical structure ...
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07/16/2021
Geometry of Information: classical and quantum aspects
In this article, we describe various aspects of categorification of the ...
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07/15/2021
Moufang Patterns and Geometry of Information
Technology of data collection and information transmission is based on v...
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04/17/2021
Syntactic structures and the general Markov models
We further the theme of studying syntactic structures data from Longobar...
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06/23/2020
Homotopy Theoretic and Categorical Models of Neural Information Networks
In this paper we develop a novel mathematical formalism for the modeling...
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03/12/2019
Topological Analysis of Syntactic Structures
We use the persistent homology method of topological data analysis and d...
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07/14/2018
Gamma Spaces and Information
We investigate the role of Segal's Gamma-spaces in the context of classi...
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03/26/2018
Heat Kernel analysis of Syntactic Structures
We consider two different data sets of syntactic parameters and we discu...
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01/04/2018
Asymptotic bounds for spherical codes
The set of all error-correcting codes C over a fixed finite alphabet F o...
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12/05/2017
Phylogenetics of Indo-European Language families via an Algebro-Geometric Analysis of their Syntactic Structures
Using Phylogenetic Algebraic Geometry, we analyze computationally the ph...
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10/02/2016
Syntactic Structures and Code Parameters
We assign binary and ternary error-correcting codes to the data of synta...
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07/10/2016
Syntactic Phylogenetic Trees
In this paper we identify several serious problems that arise in the use...
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05/13/2016
Semantic Spaces
Any natural language can be considered as a tool for producing large dat...
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10/21/2015
Prevalence and recoverability of syntactic parameters in sparse distributed memories
We propose a new method, based on Sparse Distributed Memory (Kanerva Net...
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07/31/2015
Spin Glass Models of Syntax and Language Evolution
Using the SSWL database of syntactic parameters of world languages, and ...
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07/18/2015