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In this paper we consider the problem of context-free grammars comparison from the analysis point of view. We show that the problem can be reduced to numerical solution of systems of nonlinear matrix equations. The approach presented here…

Formal Languages and Automata Theory · Computer Science 2018-04-23 J. Joao Almeida , Eliana Grande , Georgi Smirnov

Words of estimative probability (WEP) are expressions of a statement's plausibility (probably, maybe, likely, doubt, likely, unlikely, impossible...). Multiple surveys demonstrate the agreement of human evaluators when assigning numerical…

Computation and Language · Computer Science 2023-06-27 Damien Sileo , Marie-Francine Moens

Several methods are discussed that construct a finite automaton given a context-free grammar, including both methods that lead to subsets and those that lead to supersets of the original context-free language. Some of these methods of…

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

We present a theory for slicing probabilistic imperative programs -- containing random assignments, and ``observe'' statements (for conditioning) -- represented as probabilistic control-flow graphs (pCFGs) whose nodes modify probability…

Programming Languages · Computer Science 2017-11-08 Torben Amtoft , Anindya Banerjee

Modern language models are typically trained over subword sequences, but ultimately define probabilities over character-strings. Ideally, the choice of the tokeniser -- which maps character-strings to subwords -- should not affect the…

Computation and Language · Computer Science 2025-06-04 Pietro Lesci , Clara Meister , Thomas Hofmann , Andreas Vlachos , Tiago Pimentel

We present a new algorithm for probabilistic planning with no observability. Our algorithm, called Probabilistic-FF, extends the heuristic forward-search machinery of Conformant-FF to problems with probabilistic uncertainty about both the…

Artificial Intelligence · Computer Science 2011-11-02 C. Domshlak , J. Hoffmann

We conduct a large scale empirical investigation of contextualized number prediction in running text. Specifically, we consider two tasks: (1)masked number prediction-predicting a missing numerical value within a sentence, and (2)numerical…

Computation and Language · Computer Science 2020-11-17 Daniel Spokoyny , Taylor Berg-Kirkpatrick

This paper describes a new statistical parser which is based on probabilities of dependencies between head-words in the parse tree. Standard bigram probability estimation techniques are extended to calculate probabilities of dependencies…

cmp-lg · Computer Science 2008-02-03 Michael Collins

Stochastic And-Or grammars (AOG) extend traditional stochastic grammars of language to model other types of data such as images and events. In this paper we propose a representation framework of stochastic AOGs that is agnostic to the type…

Artificial Intelligence · Computer Science 2016-04-13 Kewei Tu

Consistently scaling pre-trained language models (PLMs) imposes substantial burdens on model adaptation, necessitating more efficient alternatives to conventional fine-tuning. Given the advantage of prompting in the zero-shot setting and…

Computation and Language · Computer Science 2023-06-01 Yulin Chen , Ning Ding , Xiaobin Wang , Shengding Hu , Hai-Tao Zheng , Zhiyuan Liu , Pengjun Xie

Recently, unsupervised parsing of syntactic trees has gained considerable attention. A prototypical approach to such unsupervised parsing employs reinforcement learning and auto-encoders. However, no mechanism ensures that the learnt model…

Computation and Language · Computer Science 2021-05-24 Atul Sahay , Anshul Nasery , Ayush Maheshwari , Ganesh Ramakrishnan , Rishabh Iyer

Automatic speech recognition (ASR) system is becoming a ubiquitous technology. Although its accuracy is closing the gap with that of human level under certain settings, one area that can further improve is to incorporate user-specific…

Computation and Language · Computer Science 2020-05-05 Young Mo Kang , Yingbo Zhou

We continue our study of ordered context-free grammars, a grammar formalism that places an order on the parse trees produced by the corresponding context-free grammar. In particular, we simplify our previous definition of a derivation of a…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Brink van der Merwe

Word2vec (Mikolov et al., 2013) has proven to be successful in natural language processing by capturing the semantic relationships between different words. Built on top of single-word embeddings, paragraph vectors (Le and Mikolov, 2014)…

Computation and Language · Computer Science 2017-12-11 Geng Ji , Robert Bamler , Erik B. Sudderth , Stephan Mandt

We present a deep generative model for unsupervised text style transfer that unifies previously proposed non-generative techniques. Our probabilistic approach models non-parallel data from two domains as a partially observed parallel…

Computation and Language · Computer Science 2020-05-01 Junxian He , Xinyi Wang , Graham Neubig , Taylor Berg-Kirkpatrick

In many probabilistic first-order representation systems, inference is performed by "grounding"---i.e., mapping it to a propositional representation, and then performing propositional inference. With a large database of facts, groundings…

Artificial Intelligence · Computer Science 2013-05-13 William Yang Wang , Kathryn Mazaitis , William W. Cohen

We introduce probabilistic language tries (PLTs), a unified representation that makes explicit the prefix structure implicitly defined by any generative model over sequences. By assigning to each outgoing edge the conditional probability of…

Machine Learning · Computer Science 2026-04-09 Gregory Magarshak

This short paper describes a simple coding technique, Sparse Sequential Dirichlet Coding, for multi-alphabet memoryless sources. It is appropriate in situations where only a small, unknown subset of the possible alphabet symbols can be…

Information Theory · Computer Science 2012-06-19 Joel Veness , Marcus Hutter

We consider two models for the sequence labeling (tagging) problem. The first one is a {\em Pattern-Based Conditional Random Field }(\PB), in which the energy of a string (chain labeling) $x=x_1\ldots x_n\in D^n$ is a sum of terms over…

Formal Languages and Automata Theory · Computer Science 2014-11-04 Rustem Takhanov , Vladimir Kolmogorov

Word embeddings allow natural language processing systems to share statistical information across related words. These embeddings are typically based on distributional statistics, making it difficult for them to generalize to rare or unseen…

Computation and Language · Computer Science 2016-09-27 Parminder Bhatia , Robert Guthrie , Jacob Eisenstein