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This essay advocates the view that any problem that has a meaningful empirical content, can be formulated in constructive, more definitely, finite terms. We consider combinatorial models of dynamical systems and approaches to statistical…

Quantum Physics · Physics 2015-07-21 Vladimir V. Kornyak

In categorical compositional semantics of natural language one studies functors from a category of grammatical derivations (such as a Lambek pregroup) to a semantic category (such as real vector spaces). We compositionally build…

Logic in Computer Science · Computer Science 2018-11-09 Jules Hedges , Martha Lewis

We describe how dagger-Frobenius monoids give the correct categorical description of certain kinds of finite-dimensional 'quantum algebras'. We develop the concept of an involution monoid, and use it to construct a correspondence between…

Quantum Physics · Physics 2012-09-24 Jamie Vicary

We study module like objects over categorical quotients of algebras by the action of coalgebras with several objects. These take the form of ``entwined comodules'' and ``entwined contramodules'' over a triple $(\mathscr C,A,\psi)$, where…

Category Theory · Mathematics 2024-10-24 Abhishek Banerjee , Surjeet Kour

Compositional data are commonly known as multivariate observations carrying relative information. Even though the case of vector or even two-factorial compositional data (compositional tables) is already well described in the literature,…

Methodology · Statistics 2022-01-26 Kamila Fačevicová , Peter Filzmoser , Karel Hron

Compositional vector space models of meaning promise new solutions to stubborn language understanding problems. This paper makes two contributions toward this end: (i) it uses automatically-extracted paraphrase examples as a source of…

Computation and Language · Computer Science 2018-02-01 Avneesh Saluja , Chris Dyer , Jean-David Ruvini

Quantum computing and AI have found a fruitful intersection in the field of natural language processing. We focus on the recently proposed DisCoCirc framework for natural language, and propose a quantum adaptation, QDisCoCirc. This is…

Quantum Physics · Physics 2024-08-13 Tuomas Laakkonen , Konstantinos Meichanetzidis , Bob Coecke

We present an approach to combining distributional semantic representations induced from text corpora with manually constructed lexical-semantic networks. While both kinds of semantic resources are available with high lexical coverage, our…

Computation and Language · Computer Science 2017-12-27 Chris Biemann , Stefano Faralli , Alexander Panchenko , Simone Paolo Ponzetto

This paper presents a scalable method for integrating compositional morphological representations into a vector-based probabilistic language model. Our approach is evaluated in the context of log-bilinear language models, rendered suitably…

Computation and Language · Computer Science 2014-05-19 Jan A. Botha , Phil Blunsom

Standard language models employ unique, monolithic embeddings for each token, potentially limiting their ability to capture the multifaceted nature of word meanings. We investigate whether tokens can be more effectively represented through…

Computation and Language · Computer Science 2025-09-24 Kavin R , Pawan Goyal

Compositionality in language refers to how much the meaning of some phrase can be decomposed into the meaning of its constituents and the way these constituents are combined. Based on the premise that substitution by synonyms is…

Computation and Language · Computer Science 2017-03-13 Christina Lioma , Niels Dalum Hansen

Word2vec is one of the most used algorithms to generate word embeddings because of a good mix of efficiency, quality of the generated representations and cognitive grounding. However, word meaning is not static and depends on the context in…

Artificial Intelligence · Computer Science 2020-04-15 Federico Bianchi , Valerio Di Carlo , Paolo Nicoli , Matteo Palmonari

In this paper we introduce a word embedding composition method based on the intuitive idea that a fair embedding representation for a given set of words should satisfy that the new vector will be at the same distance of the vector…

Computation and Language · Computer Science 2024-06-18 Roberto Santana , Mauricio Romero Sicre

As the field of quantum physics evolves, researchers naturally form subgroups focusing on specialized problems. While this encourages in-depth exploration, it can limit the exchange of ideas across structurally similar problems in different…

Machine Learning · Computer Science 2024-11-12 Felix Frohnert , Xuemei Gu , Mario Krenn , Evert van Nieuwenburg

In an effort to better understand meaning from natural language texts, we explore methods aimed at organizing lexical objects into contexts. A number of these methods for organization fall into a family defined by word ordering. Unlike…

Computation and Language · Computer Science 2015-07-30 Jake Ryland Williams , Eric M. Clark , James P. Bagrow , Christopher M. Danforth , Peter Sheridan Dodds

We investigate compositional structures in data embeddings from pre-trained vision-language models (VLMs). Traditionally, compositionality has been associated with algebraic operations on embeddings of words from a pre-existing vocabulary.…

Machine Learning · Computer Science 2024-01-12 Matthew Trager , Pramuditha Perera , Luca Zancato , Alessandro Achille , Parminder Bhatia , Stefano Soatto

A currently successful approach to computational semantics is to represent words as embeddings in a machine-learned vector space. We present an ensemble method that combines embeddings produced by GloVe (Pennington et al., 2014) and…

Computation and Language · Computer Science 2019-12-20 Robyn Speer , Joshua Chin

Traditional language models treat language as a finite state automaton on a probability space over words. This is a very strong assumption when modeling something inherently complex such as language. In this paper, we challenge this by…

Computation and Language · Computer Science 2016-04-04 Kushal Arora , Anand Rangarajan

Formal semantics and distributional semantics are distinct approaches to linguistic meaning: the former models meaning as reference via model-theoretic structures; the latter represents meaning as vectors in high-dimensional spaces shaped…

Logic · Mathematics 2026-02-04 Daniel Quigley

A classical result of topos theory holds that the category of coalgebras for a Cartesian comonad on a topos is again a topos (Kock and Wraith, 1971). It is natural to refine this result to a topos-theoretic setting that includes universes.…

Category Theory · Mathematics 2024-05-02 Colin Zwanziger
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