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Related papers: Density Matrices for Metaphor Understanding

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A series of examples of computational models is provided, where the model aim is to interpret numerical results in terms of internal states of agents minds. Two opposite strategies or research can be distinguished in the literature. First…

Physics and Society · Physics 2014-08-26 Krzysztof Kulakowski , Piotr Gronek , Antoni Dydejczyk

Language models (LMs) are used for a diverse range of tasks, from question answering to writing fantastical stories. In order to reliably accomplish these tasks, LMs must be able to discern the modal category of a sentence (i.e., whether it…

Computation and Language · Computer Science 2026-04-29 Michael A. Lepori , Jennifer Hu , Ishita Dasgupta , Roma Patel , Thomas Serre , Ellie Pavlick

Density matrices of pure multiphoton Fock polarization states and of arising from them reduced density matrices of mixed states are expressed in similar ways in terms of matrices of correlators defined as averaged products of equal numbers…

Quantum Physics · Physics 2019-05-08 S. V. Vintskevich , D. A. Grigoriev , N. I. Miklin , M. V. Fedorov

The two most extended density-based approaches to clustering are surely mixture model clustering and modal clustering. In the mixture model approach, the density is represented as a mixture and clusters are associated to the different…

Machine Learning · Statistics 2016-09-16 José E. Chacón

Inspired by the chemical metaphor, this paper proposes an extension of Linda-like languages in the aim of modeling the coordination of complex distributed systems. The new language manipulates finite sets of tuples and distributes a density…

Programming Languages · Computer Science 2015-02-13 Denis Darquennes , Jean-Marie Jacquet , Isabelle Linden

Interpretability benefits the theoretical understanding of representations. Existing word embeddings are generally dense representations. Hence, the meaning of latent dimensions is difficult to interpret. This makes word embeddings like a…

Computation and Language · Computer Science 2023-06-27 Minxue Xia , Hao Zhu

The technique of density matrix equation (DME) for a small system interacting with a bath is explained in detail. Special attention is given to the nonsecular DME that is needed in the vicinity of overdamped tunnelling resonances in…

Statistical Mechanics · Physics 2012-02-22 D. A. Garanin

Generating metaphors is a difficult task as it requires understanding nuanced relationships between abstract concepts. In this paper, we aim to generate a metaphoric sentence given a literal expression by replacing relevant verbs. Guided by…

Computation and Language · Computer Science 2021-06-03 Kevin Stowe , Tuhin Chakrabarty , Nanyun Peng , Smaranda Muresan , Iryna Gurevych

The paper introduces mixed networks, a new framework for expressing and reasoning with probabilistic and deterministic information. The framework combines belief networks with constraint networks, defining the semantics and graphical…

Artificial Intelligence · Computer Science 2012-07-19 Rina Dechter , Robert Mateescu

Density matrix embedding theory (DMET) describes finite fragments in the presence of a surrounding environment. In contrast to most embedding methods, DMET explicitly allows for quantum entanglement between both. In this chapter, we discuss…

Strongly Correlated Electrons · Physics 2018-02-19 Sebastian Wouters , Carlos A. Jiménez-Hoyos , Garnet K. -L. Chan

We show the representability of density-entropy pairs with canonical and grand-canonical states, and we provide bounds on the kinetic energy of the representing states.

Mathematical Physics · Physics 2024-06-27 Louis Garrigue

Language models (LMs) have been used in cognitive modeling as well as engineering studies -- they compute information-theoretic complexity metrics that simulate humans' cognitive load during reading. This study highlights a limitation of…

Computation and Language · Computer Science 2022-11-02 Tatsuki Kuribayashi , Yohei Oseki , Ana Brassard , Kentaro Inui

Language models (LM) are capable of remarkably complex linguistic tasks; however, numerical reasoning is an area in which they frequently struggle. An important but rarely evaluated form of reasoning is understanding probability…

Computation and Language · Computer Science 2024-10-01 Akshay Paruchuri , Jake Garrison , Shun Liao , John Hernandez , Jacob Sunshine , Tim Althoff , Xin Liu , Daniel McDuff

Here we discuss the description of flavor neutrinos produced or detected in processes which involve more than one neutrino. We show that in these cases flavor neutrinos cannot be separately described by pure states, but require a density…

High Energy Physics - Phenomenology · Physics 2018-11-20 Gabriel Cozzella , Carlo Giunti

An explicit parameterization is given for the density matrices for $n$-state systems. The geometry of the space of pure and mixed states and the entropy of the $n$-state system is discussed. Geometric phases can arise in only specific…

Quantum Physics · Physics 2007-05-23 Luis J. Boya , Mark Byrd , Mark Mims , E. C. G. Sudarshan

Probabilistic word embeddings have shown effectiveness in capturing notions of generality and entailment, but there is very little work on doing the analogous type of investigation for sentences. In this paper we define probabilistic models…

Computation and Language · Computer Science 2020-05-19 Mingda Chen , Kevin Gimpel

The predictive uncertainty of machine translation (MT) models is typically used as a quality estimation proxy. In this work, we posit that apart from confidently translating when a single correct translation exists, models should also…

Computation and Language · Computer Science 2025-10-22 Ieva Raminta Staliūnaitė , Julius Cheng , Andreas Vlachos

As the first step in automated natural language processing, representing words and sentences is of central importance and has attracted significant research attention. Different approaches, from the early one-hot and bag-of-words…

Computation and Language · Computer Science 2019-11-06 Wenye Li , Senyue Hao

Word embeddings capture syntactic and semantic information about words. Definition modeling aims to make the semantic content in each embedding explicit, by outputting a natural language definition based on the embedding. However, existing…

Computation and Language · Computer Science 2019-09-23 Ruimin Zhu , Thanapon Noraset , Alisa Liu , Wenxin Jiang , Doug Downey

The representation space of pretrained Language Models (LMs) encodes rich information about words and their relationships (e.g., similarity, hypernymy, polysemy) as well as abstract semantic notions (e.g., intensity). In this paper, we…

Computation and Language · Computer Science 2023-06-02 Qing Lyu , Marianna Apidianaki , Chris Callison-Burch
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