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Probabilistic analogues of regular and context-free grammars are well-known in computational linguistics, and currently the subject of intensive research. To date, however, no satisfactory probabilistic analogue of attribute-value grammars…

cmp-lg · Computer Science 2008-02-03 Steven Abney

We present new results on the relation between purely symbolic context-free parsing strategies and their probabilistic counter-parts. Such parsing strategies are seen as constructions of push-down devices from grammars. We show that…

Computation and Language · Computer Science 2007-05-23 Mark-Jan Nederhof , Giorgio Satta

We study probability distributions over free algebras of trees. Probability distributions can be seen as particular (formal power) tree series [Berstel et al 82, Esik et al 03], i.e. mappings from trees to a semiring K . A widely studied…

Machine Learning · Computer Science 2008-07-21 François Denis , Amaury Habrard , Rémi Gilleron , Marc Tommasi , Édouard Gilbert

The evolution of grammatical systems of syntactic and semantic composition is modeled here with a novel application of reinforcement learning theory. To test the functionalist thesis that speakers' expressive purposes shape their language,…

Computation and Language · Computer Science 2025-03-04 Stephen Wechsler , James W. Shearer , Katrin Erk

Most expressivity results for transformers treat them as language recognizers -- devices that accept or reject strings -- rather than as they are used in practice: as language models that generate strings autoregressively and…

Computation and Language · Computer Science 2026-05-26 Andy Yang , Anej Svete , Jiaoda Li , Anthony Widjaja Lin , Jonathan Rawski , Ryan Cotterell , David Chiang

Many complex generative systems use languages to create structured objects. We consider a model of random languages, defined by weighted context-free grammars. As the distribution of grammar weights broadens, a transition is found from a…

Disordered Systems and Neural Networks · Physics 2019-04-03 E. DeGiuli

The Random Language Model, proposed as a simple model of human languages, is defined by the averaged model of a probabilistic context-free grammar. This grammar expresses the process of sentence generation as a tree graph with nodes having…

Disordered Systems and Neural Networks · Physics 2022-07-07 Kai Nakaishi , Koji Hukushima

Existing probabilistic scanners and parsers impose hard constraints on the way lexical and syntactic ambiguities can be resolved. Furthermore, traditional grammar-based parsing tools are limited in the mechanisms they allow for taking…

Computation and Language · Computer Science 2012-05-16 Luis Quesada , Fernando Berzal , Francisco J. Cortijo

The problem of identifying a probabilistic context free grammar has two aspects: the first is determining the grammar's topology (the rules of the grammar) and the second is estimating probabilistic weights for each rule. Given the hardness…

Formal Languages and Automata Theory · Computer Science 2021-03-10 Dolav Nitay , Dana Fisman , Michal Ziv-Ukelson

Probabilistic programming languages (PPLs) allow programmers to construct statistical models and then simulate data or perform inference over them. Many PPLs restrict models to a particular instance of simulation or inference, limiting…

Programming Languages · Computer Science 2024-12-24 Minh Nguyen , Roly Perera , Meng Wang , Nicolas Wu

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

Models of a phenomenon are often developed by examining it under different experimental conditions, or measurement contexts. The resultant probabilistic models assume that the underlying random variables, which define a measurable set of…

Artificial Intelligence · Computer Science 2018-02-05 Peter D. Bruza

Language models (LMs) estimate a probability distribution over strings in a natural language; these distributions are crucial for computing perplexity and surprisal in linguistics research. While we are usually concerned with measuring…

Computation and Language · Computer Science 2024-10-15 Tiago Pimentel , Clara Meister

Recursive calls over recursive data are useful for generating probability distributions, and probabilistic programming allows computations over these distributions to be expressed in a modular and intuitive way. Exact inference is also…

Programming Languages · Computer Science 2023-03-28 David Chiang , Colin McDonald , Chung-chieh Shan

Language models for speech recognition typically use a probability model of the form Pr(a_n | a_1, a_2, ..., a_{n-1}). Stochastic grammars, on the other hand, are typically used to assign structure to utterances. A language model of the…

Computation and Language · Computer Science 2007-05-23 Mark-Jan Nederhof , Anoop Sarkar , Giorgio Satta

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

Artificial Intelligence · Computer Science 2012-06-18 Ydo Wexler , Christopher Meek

The relationship between communicated language and intended meaning is often probabilistic and sensitive to context. Numerous strategies attempt to estimate such a mapping, often leveraging recursive Bayesian models of communication. In…

Computation and Language · Computer Science 2023-05-03 Benjamin Lipkin , Lionel Wong , Gabriel Grand , Joshua B Tenenbaum

Nous pr\'esentons dans cette contribution une approche \`a la fois symbolique et probabiliste permettant d'extraire l'information sur la segmentation du signal de parole \`a partir d'information prosodique. Nous utilisons pour ce faire des…

Machine Learning · Computer Science 2008-12-18 Irina Nesterenko , Stéphane Rauzy

A controversial test for Large Language Models concerns the ability to discern possible from impossible language. While some evidence attests to the models' sensitivity to what crosses the limits of grammatically impossible language, this…

Computation and Language · Computer Science 2025-09-19 Evelina Leivada , Raquel Montero , Paolo Morosi , Natalia Moskvina , Tamara Serrano , Marcel Aguilar , Fritz Guenther

Segmental structure is a common pattern in many types of sequences such as phrases in human languages. In this paper, we present a probabilistic model for sequences via their segmentations. The probability of a segmented sequence is…

Machine Learning · Statistics 2018-07-20 Chong Wang , Yining Wang , Po-Sen Huang , Abdelrahman Mohamed , Dengyong Zhou , Li Deng