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We describe an extension of Earley's parser for stochastic context-free grammars that computes the following quantities given a stochastic context-free grammar and an input string: a) probabilities of successive prefixes being generated by…

cmp-lg · Computer Science 2008-02-03 Andreas Stolcke

We propose a new approach for universal lossless text compression, based on grammar compression. In the literature, a target string $T$ has been compressed as a context-free grammar $G$ in Chomsky normal form satisfying $L(G) = \{T\}$. Such…

Data Structures and Algorithms · Computer Science 2020-03-19 Hiroaki Naganuma , Diptarama Hendrian , Ryo Yoshinaka , Ayumi Shinohara , Naoki Kobayashi

We present an algorithm for computing n-gram probabilities from stochastic context-free grammars, a procedure that can alleviate some of the standard problems associated with n-grams (estimation from sparse data, lack of linguistic…

cmp-lg · Computer Science 2022-02-28 Andreas Stolcke , Jonathan Segal

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…

Logic in Computer Science · Computer Science 2023-06-22 Dana Fisman , Dolav Nitay , Michal Ziv-Ukelson

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

Traditional Linear Genetic Programming (LGP) algorithms are based only on the selection mechanism to guide the search. Genetic operators combine or mutate random portions of the individuals, without knowing if the result will lead to a…

Neural and Evolutionary Computing · Computer Science 2017-04-05 Léo Françoso Dal Piccol Sotto , Vinícius Veloso de Melo

Probabilistic context-free grammars have a long-term record of use as generative models in machine learning and symbolic regression. When used for symbolic regression, they generate algebraic expressions. We define the latter as equivalence…

Formal Languages and Automata Theory · Computer Science 2022-12-05 Urh Primožič , Ljupčo Todorovski , Matej Petković

Synchronous Context-Free Grammars (SCFGs), also known as syntax-directed translation schemata, are unlike context-free grammars in that they do not have a binary normal form. In general, parsing with SCFGs takes space and time polynomial in…

Formal Languages and Automata Theory · Computer Science 2013-11-27 Pierluigi Crescenzi , Daniel Gildea , Andrea Marino , Gianluca Rossi , Giorgio Satta

Understanding how the structure of language can be learned from sentences alone is a central question in both cognitive science and machine learning. Studies of the internal representations of Large Language Models (LLMs) support their…

Machine Learning · Statistics 2026-02-10 Jack T. Parley , Francesco Cagnetta , Matthieu Wyart

We study a formalization of the grammar induction problem that models sentences as being generated by a compound probabilistic context-free grammar. In contrast to traditional formulations which learn a single stochastic grammar, our…

Computation and Language · Computer Science 2020-03-31 Yoon Kim , Chris Dyer , Alexander M. Rush

We propose a two-level stochastic context-free grammar (SCFG) architecture for parametrized stochastic modeling of a family of RNA sequences, including their secondary structure. A stochastic model of this type can be used for maximum a…

Biomolecules · Quantitative Biology 2014-03-06 Robert S. Maier

The natural language generation (NLG) component of a spoken dialogue system (SDS) usually needs a substantial amount of handcrafting or a well-labeled dataset to be trained on. These limitations add significantly to development costs and…

Computation and Language · Computer Science 2015-08-10 Tsung-Hsien Wen , Milica Gasic , Dongho Kim , Nikola Mrksic , Pei-Hao Su , David Vandyke , Steve Young

Probabilistic context-free grammars (PCFGs) are used to define distributions over strings, and are powerful modelling tools in a number of areas, including natural language processing, software engineering, model checking, bio-informatics,…

Formal Languages and Automata Theory · Computer Science 2014-07-08 Colin de la Higuera , James Scicluna , Mark-Jan Nederhof

How much data is required to learn the structure of a language via next-token prediction? We study this question for synthetic datasets generated via a Probabilistic Context-Free Grammar (PCFG) -- a tree-like generative model that captures…

Computation and Language · Computer Science 2024-10-30 Francesco Cagnetta , Matthieu Wyart

The primary use of any probabilistic model involving a set of random variables is to run inference and sampling queries on it. Inference queries in classical probabilistic models is concerned by the computation of marginal or conditional…

Artificial Intelligence · Computer Science 2022-06-28 Reda Marzouk , Colin de La Higuera

Techniques for plan recognition under uncertainty require a stochastic model of the plan-generation process. We introduce Probabilistic State-Dependent Grammars (PSDGs) to represent an agent's plan-generation process. The PSDG language…

Artificial Intelligence · Computer Science 2013-01-18 David V. Pynadath , Michael P. Wellman

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

Probabilistic context-free grammars (PCFGs) with neural parameterization have been shown to be effective in unsupervised phrase-structure grammar induction. However, due to the cubic computational complexity of PCFG representation and…

Computation and Language · Computer Science 2021-04-29 Songlin Yang , Yanpeng Zhao , Kewei Tu

Natural language generation (NLG) is a critical component of spoken dialogue and it has a significant impact both on usability and perceived quality. Most NLG systems in common use employ rules and heuristics and tend to generate rigid and…

Computation and Language · Computer Science 2015-08-27 Tsung-Hsien Wen , Milica Gasic , Nikola Mrksic , Pei-Hao Su , David Vandyke , Steve Young

Probabilistic context-free grammars (PCFGs), which are commonly used to generate trees randomly, have been well analyzed theoretically, leading to applications in various domains. Despite their utility, the distributions that the grammar…

Disordered Systems and Neural Networks · Physics 2024-08-30 Kai Nakaishi , Koji Hukushima
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