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There are two reasons why uncertainty may not be adequately described by Probability Theory. The first one is due to unique or nearly-unique events, that either never realized or occurred too seldom for frequencies to be reliably measured.…

Artificial Intelligence · Computer Science 2023-03-17 Florian Ellsaesser , Guido Fioretti , Gail E. James

The problem of representing text documents within an Information Retrieval system is formulated as an analogy to the problem of representing the quantum states of a physical system. Lexical measurements of text are proposed as a way of…

Information Retrieval · Computer Science 2008-02-19 Álvaro Francisco Huertas-Rosero , Leif Azzopardi , C. J. van Rijsbergen

In this introductory article we present the basics of an approach to implementing computational interpreting of natural language aiming to model the meanings of words and phrases. Unlike other approaches, we attempt to define the meanings…

Computation and Language · Computer Science 2019-08-12 Michael Kapustin , Pavlo Kapustin

The mathematical formalism of quantum theory has been successfully used in human cognition to model decision processes and to deliver representations of human knowledge. As such, quantum cognition inspired tools have improved technologies…

Computation and Language · Computer Science 2015-12-31 Diederik Aerts , Jan Broekaert , Sandro Sozzo , Tomas Veloz

Reasoning is key to many decision making processes. It requires consolidating a set of rule-like premises that are often associated with degrees of uncertainty and observations to draw conclusions. In this work, we address both the case…

Computation and Language · Computer Science 2024-10-15 Timo Pierre Schrader , Lukas Lange , Simon Razniewski , Annemarie Friedrich

One major problem in Natural Language Processing is the automatic analysis and representation of human language. Human language is ambiguous and deeper understanding of semantics and creating human-to-machine interaction have required an…

Computation and Language · Computer Science 2022-06-01 Neslihan Suzen , Alexander N. Gorban , Jeremy Levesley , Evgeny M. Mirkes

When people interpret text, they rely on inferences that go beyond the observed language itself. Inspired by this observation, we introduce a method for the analysis of text that takes implicitly communicated content explicitly into…

Computation and Language · Computer Science 2025-02-25 Alexander Hoyle , Rupak Sarkar , Pranav Goel , Philip Resnik

Language is contextual as meanings of words are dependent on their contexts. Contextuality is, concomitantly, a well-defined concept in quantum mechanics where it is considered a major resource for quantum computations. We investigate…

Computation and Language · Computer Science 2021-08-02 Daphne Wang , Mehrnoosh Sadrzadeh , Samson Abramsky , Victor H. Cervantes

The representation of numbers by product states in quantum mechanics can be extended to the representation of words and word sequences in languages by product states. This can be used to study quantum systems that generate text that has…

Quantum Physics · Physics 2009-11-07 Paul Benioff

Conceptual entanglement is a crucial phenomenon in quantum cognition because it implies that classical probabilities cannot model non--compositional conceptual phenomena. While several psychological experiments have been developed to test…

Computation and Language · Computer Science 2019-09-24 Tomas Veloz , Xiazhao Zhao , Diederik Aerts

Word meaning has different aspects, while the existing word representation "compresses" these aspects into a single vector, and it needs further analysis to recover the information in different dimensions. Inspired by quantum probability,…

Computation and Language · Computer Science 2020-04-09 Shen Li , Renfen Hu , Jinshan Wu

Large language models (LLMs) have shown strong capabilities, enabling concise, context-aware answers in question answering (QA) tasks. The lack of transparency in complex LLMs has inspired extensive research aimed at developing methods to…

Computation and Language · Computer Science 2025-09-22 Yangyi Li , Mengdi Huai

Quantum computation has suggested new forms of quantum logic, called quantum computational logics. The basic semantic idea is the following: the meaning of a sentence is identified with a quregister, a system of qubits, representing a…

Quantum Physics · Physics 2007-05-23 M. L. Dalla Chiara , R. Giuntini , R. Leporini

New text as data techniques offer a great promise: the ability to inductively discover measures that are useful for testing social science theories of interest from large collections of text. We introduce a conceptual framework for making…

Machine Learning · Statistics 2018-02-08 Naoki Egami , Christian J. Fong , Justin Grimmer , Margaret E. Roberts , Brandon M. Stewart

This paper examines language modeling based on the theory of quantum mechanics. It focuses on the introduction of quantum mechanics into the symbol-meaning pairs of language in order to build a representation model of natural language. At…

Computation and Language · Computer Science 2025-04-30 D. -F. Qin

Statistical topic models provide a general data-driven framework for automated discovery of high-level knowledge from large collections of text documents. While topic models can potentially discover a broad range of themes in a data set,…

Artificial Intelligence · Computer Science 2008-08-08 Chaitanya Chemudugunta , Padhraic Smyth , Mark Steyvers

Applications of large language models often involve the generation of free-form responses, in which case uncertainty quantification becomes challenging. This is due to the need to identify task-specific uncertainties (e.g., about the…

Computation and Language · Computer Science 2024-10-21 Ziyu Wang , Chris Holmes

Terms in diachronic text corpora may exhibit a high degree of semantic dynamics that is only partially captured by the common notion of semantic change. The new measure of context volatility that we propose models the degree by which terms…

Computation and Language · Computer Science 2017-11-16 Christian Kahmann , Andreas Niekler , Gerhard Heyer

Today's probabilistic language generators fall short when it comes to producing coherent and fluent text despite the fact that the underlying models perform well under standard metrics, e.g., perplexity. This discrepancy has puzzled the…

Computation and Language · Computer Science 2025-06-06 Clara Meister , Tiago Pimentel , Gian Wiher , Ryan Cotterell

This paper is a reflexion on the computability of natural language semantics. It does not contain a new model or new results in the formal semantics of natural language: it is rather a computational analysis of the logical models and…

Computation and Language · Computer Science 2016-05-16 Richard Moot , Christian Retoré
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