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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

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

This paper describes a method for estimating conditional probability distributions over the parses of ``unification-based'' grammars which can utilize auxiliary distributions that are estimated by other means. We show how this can be used…

Computation and Language · Computer Science 2007-05-23 Mark Johnson , Stefan Riezler

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

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

To obtain a probabilistic model for a dependent variable based on some set of explanatory variables, a distributional approach is often adopted where the parameters of the distribution are linked to regressors. In many classical models this…

Methodology · Statistics 2020-01-14 Lisa Schlosser , Torsten Hothorn , Reto Stauffer , Achim Zeileis

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

Based on a recent development in the area of error control coding, we introduce the notion of convolutional factor graphs (CFGs) as a new class of probabilistic graphical models. In this context, the conventional factor graphs are referred…

Artificial Intelligence · Computer Science 2012-07-19 Yongyi Mao , Frank Kschischang , Brendan J. Frey

The Random Geometric Graph (RGG) is a random graph model for network data with an underlying spatial representation. Geometry endows RGGs with a rich dependence structure and often leads to desirable properties of real-world networks such…

Social and Information Networks · Computer Science 2022-08-25 Quentin Duchemin , Yohann de Castro

The inside-outside probabilities are typically used for reestimating Probabilistic Context Free Grammars (PCFGs), just as the forward-backward probabilities are typically used for reestimating HMMs. I show several novel uses, including…

cmp-lg · Computer Science 2007-05-23 Joshua Goodman

This article develops a novel operational semantics for probabilistic control-flow graphs (pCFGs) of probabilistic imperative programs with random assignment and "observe" (or conditioning) statements. The semantics transforms probability…

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

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

Grammaticality and likelihood are distinct notions in human language. Pretrained language models (LMs), which are probabilistic models of language fitted to maximize corpus likelihood, generate grammatically well-formed text and…

Computation and Language · Computer Science 2026-05-07 Yingshan Susan Wang , Linlu Qiu , Zhaofeng Wu , Roger P. Levy , Yoon Kim

Understanding and explaining the structure of generated test inputs is essential for effective software testing and debugging. Existing approaches--including grammar-based fuzzers, probabilistic Context-Free Grammars (pCFGs), and Large…

Software Engineering · Computer Science 2026-04-09 Annaëlle Baiget , Jaron Maene , Seongmin Lee , Benjie Wang , Guy Van den Broeck , Miryung Kim

We present a statistical parsing framework for sentence-level sentiment classification in this article. Unlike previous works that employ syntactic parsing results for sentiment analysis, we develop a statistical parser to directly analyze…

Computation and Language · Computer Science 2015-03-06 Li Dong , Furu Wei , Shujie Liu , Ming Zhou , Ke Xu

Probabilistic dependency graphs (PDGs) are a flexible class of probabilistic graphical models, subsuming Bayesian Networks and Factor Graphs. They can also capture inconsistent beliefs, and provide a way of measuring the degree of this…

Data Structures and Algorithms · Computer Science 2023-11-10 Oliver E. Richardson , Joseph Y. Halpern , Christopher De Sa

In this paper, we propose a globally normalized model for context-free grammar (CFG)-based semantic parsing. Instead of predicting a probability, our model predicts a real-valued score at each step and does not suffer from the label bias…

Computation and Language · Computer Science 2021-06-08 Chenyang Huang , Wei Yang , Yanshuai Cao , Osmar Zaïane , Lili Mou

Generative models for classification use the joint probability distribution of the class variable and the features to construct a decision rule. Among generative models, Bayesian networks and naive Bayes classifiers are the most commonly…

Artificial Intelligence · Computer Science 2022-08-05 Federico Carli , Manuele Leonelli , Gherardo Varando

An important approach for efficient inference in probabilistic graphical models exploits symmetries among objects in the domain. Symmetric variables (states) are collapsed into meta-variables (meta-states) and inference algorithms are run…

Artificial Intelligence · Computer Science 2016-07-01 Ankit Anand , Aditya Grover , Mausam , Parag Singla

Grammar-based sentence generation has been thoroughly explored for Context-Free Grammars (CFGs), but remains unsolved for recognition-based approaches such as Parsing Expression Grammars (PEGs). Lacking tool support, language designers…

Programming Languages · Computer Science 2018-02-01 Tony Garnock-Jones , Mahdi Eslamimehr , Alessandro Warth