4 citations · 12 across the 20 of their papers we have counts for
23 papers
Semantic Field Theory: Historical Origin, Higher-Order Interaction, and Stabilized Semantic Inference
Dimitris Vartziotis
Semantic Field Theory (SFT) has developed from a philosophical critique of strong anti-formalist readings of language games into a proposed computational model class for lexical se…
Rigorous Geometric Obstructions for Fourier Curves Generated by Prime Numbers
Dimitris Vartziotis
We study planar curves defined by finite Fourier series of the form , where the frequencies are the prime numbers and denotes th…
Spectral Geometry of Fourier Curves with Prime Frequencies: A Comparative Experimental Study
Dimitris Vartziotis
We present a comparative experimental study of planar curves arising from a Fourier series whose frequencies are the prime numbers, together with several randomized control models.…
Fourier Series Generated by Additive Prime Factor Functions
Dimitris Vartziotis
We introduce a rigorous arithmetic--spectral construction associating planar geometric objects with additive prime factor statistics. Let denote the sum of prim…
Language as Mathematical Structure: Examining Semantic Field Theory Against Language Games
Dimitris Vartziotis
Large language models (LLMs) offer a new empirical setting in which long-standing theories of linguistic meaning can be examined. This paper contrasts two broad approaches: social…
Learn2Extend: Extending sequences by retaining their statistical properties with mixture models
Dimitris Vartziotis, George Dasoulas, Florian Pausinger
This paper addresses the challenge of extending general finite sequences of real numbers within a subinterval of the real line, maintaining their inherent statistical properties by…