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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

After presenting a novel O(n^3) parsing algorithm for dependency grammar, we develop three contrasting ways to stochasticize it. We propose (a) a lexical affinity model where words struggle to modify each other, (b) a sense tagging model…

cmp-lg · Computer Science 2008-02-06 Jason Eisner

This paper introduces a new probabilistic architecture called Sum-Product Graphical Model (SPGM). SPGMs combine traits from Sum-Product Networks (SPNs) and Graphical Models (GMs): Like SPNs, SPGMs always enable tractable inference using a…

Machine Learning · Statistics 2017-08-23 Mattia Desana , Christoph Schnörr

Probabilistic independence is a useful concept for describing the result of random sampling---a basic operation in all probabilistic languages---and for reasoning about groups of random variables. Nevertheless, existing verification methods…

Programming Languages · Computer Science 2020-07-21 Gilles Barthe , Justin Hsu , Kevin Liao

In probabilistic grammatical inference, a usual goal is to infer a good approximation of an unknown distribution P called a stochastic language. The estimate of P stands in some class of probabilistic models such as probabilistic automata…

Machine Learning · Computer Science 2008-12-19 Amaury Habrard , Francois Denis , Yann Esposito

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

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

Phrase-structure grammars are effective models for important syntactic and semantic aspects of natural languages, but can be computationally too demanding for use as language models in real-time speech recognition. Therefore, finite-state…

cmp-lg · Computer Science 2008-02-03 Fernando C. N. Pereira , Rebecca N. Wright

In a world blessed with a great diversity of loss functions, we argue that that choice between them is not a matter of taste or pragmatics, but of model. Probabilistic depencency graphs (PDGs) are probabilistic models that come equipped…

Machine Learning · Computer Science 2022-02-25 Oliver E Richardson

Syntactic structures used to play a vital role in natural language processing (NLP), but since the deep learning revolution, NLP has been gradually dominated by neural models that do not consider syntactic structures in their design. One…

Computation and Language · Computer Science 2023-11-28 Haoyi Wu , Kewei Tu

Synthesizing data for semantic parsing has gained increasing attention recently. However, most methods require handcrafted (high-precision) rules in their generative process, hindering the exploration of diverse unseen data. In this work,…

Computation and Language · Computer Science 2021-04-28 Bailin Wang , Wenpeng Yin , Xi Victoria Lin , Caiming Xiong

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

The composition of multiple Gaussian Processes as a Deep Gaussian Process (DGP) enables a deep probabilistic nonparametric approach to flexibly tackle complex machine learning problems with sound quantification of uncertainty. Existing…

Machine Learning · Statistics 2017-03-02 Kurt Cutajar , Edwin V. Bonilla , Pietro Michiardi , Maurizio Filippone

Virtual assistants make use of automatic speech recognition (ASR) to help users answer entity-centric queries. However, spoken entity recognition is a difficult problem, due to the large number of frequently-changing named entities. In…

Computation and Language · Computer Science 2022-07-01 Christophe Van Gysel , Mirko Hannemann , Ernest Pusateri , Youssef Oualil , Ilya Oparin

Implicit discourse relation recognition (IDRR) is a challenging but crucial task in discourse analysis. Most existing methods train multiple models to predict multi-level labels independently, while ignoring the dependence between…

Computation and Language · Computer Science 2021-12-23 Changxing Wu , Liuwen Cao , Yubin Ge , Yang Liu , Min Zhang , Jinsong Su

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

Many NLP datasets have been found to contain shortcuts: simple decision rules that achieve surprisingly high accuracy. However, it is difficult to discover shortcuts automatically. Prior work on automatic shortcut detection has focused on…

Computation and Language · Computer Science 2022-10-24 Dan Friedman , Alexander Wettig , Danqi Chen

In this paper we demonstrate that $\textit{context free grammar (CFG) based methods for grammar induction benefit from modeling lexical dependencies}$. This contrasts to the most popular current methods for grammar induction, which focus on…

Computation and Language · Computer Science 2020-07-31 Hao Zhu , Yonatan Bisk , Graham Neubig

We describe a corpus-based induction algorithm for probabilistic context-free grammars. The algorithm employs a greedy heuristic search within a Bayesian framework, and a post-pass using the Inside-Outside algorithm. We compare the…

cmp-lg · Computer Science 2008-02-03 Stanley F. Chen

Models of dynamical systems based on predictive state representations (PSRs) are defined strictly in terms of observable quantities, in contrast with traditional models (such as Hidden Markov Models) that use latent variables or statespace…

Artificial Intelligence · Computer Science 2012-07-09 Matthew Rudary , Satinder Singh , David Wingate