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Parsing Expression Grammars (PEGs) are a formalism that can describe all deterministic context-free languages through a set of rules that specify a top-down parser for some language. PEGs are easy to use, and there are efficient…

Formal Languages and Automata Theory · Computer Science 2014-02-17 Sérgio Medeiros , Fabio Mascarenhas , Roberto Ierusalimschy

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

Many of today's probabilistic programming languages (PPLs) have brittle inference performance: the performance of the underlying inference algorithm is very sensitive to the precise way in which the probabilistic program is written. A…

Artificial Intelligence · Computer Science 2023-02-22 Ellie Y. Cheng , Todd Millstein , Guy Van den Broeck , Steven Holtzen

We address the challenge of extracting structured information from business documents without detailed annotations. We propose Deep Conditional Probabilistic Context Free Grammars (DeepCPCFG) to parse two-dimensional complex documents and…

Computation and Language · Computer Science 2021-06-08 Freddy C. Chua , Nigel P. Duffy

Gaussian Processes (GPs) are widely used tools in statistics, machine learning, robotics, computer vision, and scientific computation. However, despite their popularity, they can be difficult to apply; all but the simplest classification or…

Machine Learning · Computer Science 2016-01-06 Ulrich Schaechtle , Ben Zinberg , Alexey Radul , Kostas Stathis , Vikash K. Mansinghka

The paper gives a brief review of the expectation-maximization algorithm (Dempster 1977) in the comprehensible framework of discrete mathematics. In Section 2, two prominent estimation methods, the relative-frequency estimation and the…

Computation and Language · Computer Science 2007-05-23 Detlef Prescher

We study the problem of computing the probability that a given stochastic context-free grammar (SCFG), G, generates a string in a given regular language L(D) (given by a DFA, D). This basic problem has a number of applications in…

Formal Languages and Automata Theory · Computer Science 2013-02-27 Kousha Etessami , Alistair Stewart , Mihalis Yannakakis

In many applications of natural language processing (NLP) it is necessary to determine the likelihood of a given word combination. For example, a speech recognizer may need to determine which of the two word combinations ``eat a peach'' and…

Computation and Language · Computer Science 2007-05-23 Ido Dagan , Lillian Lee , Fernando C. N. Pereira

Probabilistic graphical models (PGMs) serve as a powerful framework for modeling complex systems with uncertainty and extracting valuable insights from data. However, users face challenges when applying PGMs to their problems in terms of…

Machine Learning · Computer Science 2024-05-29 Jiantong Jiang , Zeyi Wen , Peiyu Yang , Atif Mansoor , Ajmal Mian

Equation discovery, also known as symbolic regression, is a type of automated modeling that discovers scientific laws, expressed in the form of equations, from observed data and expert knowledge. Deterministic grammars, such as context-free…

Machine Learning · Computer Science 2021-04-29 Jure Brence , Ljupčo Todorovski , Sašo Džeroski

This paper is an attempt to bring together two approaches to language analysis. The possible use of probabilistic information in principle-based grammars and parsers is considered, including discussion on some theoretical and computational…

cmp-lg · Computer Science 2008-02-03 Andrew Fordham , Matthew Crocker

Probabilistic concurrent systems are foundational models for modern mobile computing. In this paper, a unifying approach to probabilistic testing equivalences is proposed. With the help of a new distribution-based semantics for…

Logic in Computer Science · Computer Science 2026-04-08 Weijun Chen , Yuxi Fu , Huan Long , Hao Wu

Pre-trained language models have been shown to encode linguistic structures, e.g. dependency and constituency parse trees, in their embeddings while being trained on unsupervised loss functions like masked language modeling. Some doubts…

Computation and Language · Computer Science 2023-10-17 Haoyu Zhao , Abhishek Panigrahi , Rong Ge , Sanjeev Arora

This thesis presents a broad-coverage probabilistic top-down parser, and its application to the problem of language modeling for speech recognition. The parser builds fully connected derivations incrementally, in a single pass from…

Computation and Language · Computer Science 2007-05-23 Brian Roark

There have been several recent attempts to improve the accuracy of grammar induction systems by bounding the recursive complexity of the induction model (Ponvert et al., 2011; Noji and Johnson, 2016; Shain et al., 2016; Jin et al., 2018).…

Computation and Language · Computer Science 2018-09-11 Lifeng Jin , Finale Doshi-Velez , Timothy Miller , William Schuler , Lane Schwartz

In-context learning is a recent paradigm in natural language understanding, where a large pre-trained language model (LM) observes a test instance and a few training examples as its input, and directly decodes the output without any update…

Computation and Language · Computer Science 2022-05-10 Ohad Rubin , Jonathan Herzig , Jonathan Berant

We propose a logical/mathematical framework for statistical parameter learning of parameterized logic programs, i.e. definite clause programs containing probabilistic facts with a parameterized distribution. It extends the traditional least…

Artificial Intelligence · Computer Science 2011-08-26 T. Sato , Y. Kameya

We describe a framework for inducing probabilistic grammars from corpora of positive samples. First, samples are {\em incorporated} by adding ad-hoc rules to a working grammar; subsequently, elements of the model (such as states or…

cmp-lg · Computer Science 2022-02-28 Andreas Stolcke , Stephen M. Omohundro

It is natural for probabilistic programs to use conditionals to express alternative substructures in models, and loops (recursion) to express repeated substructures in models. Thus, probabilistic programs with conditionals and recursion…

Programming Languages · Computer Science 2020-10-26 David Chiang , Chung-chieh Shan

Quantum computing is a relatively new field of computing, which utilises the fundamental concepts of quantum mechanics to process data. The seminal paper of Moore et al. [2000] introduced quantum grammars wherein a set of amplitudes was…

Formal Languages and Automata Theory · Computer Science 2025-05-21 Merina Aruja , Lisa Mathew , Jayakrishna Vijayakumar