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We present a computable algorithm that assigns probabilities to every logical statement in a given formal language, and refines those probabilities over time. For instance, if the language is Peano arithmetic, it assigns probabilities to…

Artificial Intelligence · Computer Science 2020-12-09 Scott Garrabrant , Tsvi Benson-Tilsen , Andrew Critch , Nate Soares , Jessica Taylor

Lifted probabilistic inference algorithms exploit regularities in the structure of graphical models to perform inference more efficiently. More specifically, they identify groups of interchangeable variables and perform inference once per…

Artificial Intelligence · Computer Science 2014-02-05 Nima Taghipour , Daan Fierens , Jesse Davis , Hendrik Blockeel

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

Artificial Intelligence · Computer Science 2012-06-18 Ydo Wexler , Christopher Meek

We study probabilistic team semantics which is a semantical framework allowing the study of logical and probabilistic dependencies simultaneously. We examine and classify the expressive power of logical formalisms arising by different…

Logic in Computer Science · Computer Science 2019-02-26 Miika Hannula , Åsa Hirvonen , Juha Kontinen , Vadim Kulikov , Jonni Virtema

Language is a popular resource to mine speakers' attitude bias, supposing that speakers' statements represent their bias on concepts. However, psychology studies show that people's explicit bias in statements can be different from their…

Social and Information Networks · Computer Science 2019-06-03 Bo Wang , Baixiang Xue , Anthony G. Greenwald

Recent research in psycholinguistics has provided increasing evidence that humans predict upcoming content. Prediction also affects perception and might be a key to robustness in human language processing. In this paper, we investigate the…

Computation and Language · Computer Science 2017-02-13 Ashutosh Modi , Ivan Titov , Vera Demberg , Asad Sayeed , Manfred Pinkal

In recent years, extensive research has emerged in affective computing on topics like automatic emotion recognition and determining the signals that characterize individual emotions. Much less studied, however, is expressiveness, or the…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Victoria Lin , Jeffrey M. Girard , Louis-Philippe Morency

Most spoken language translation systems developed to date rely on a pipelined architecture, in which the main stages are speech recognition, linguistic analysis, transfer, generation and speech synthesis. When making projections of error…

cmp-lg · Computer Science 2008-02-03 Manny Rayner , David Carter , Patti Price , Bertil Lyberg

Statistical estimation often involves tradeoffs between expensive, high-quality measurements and a variety of lower-quality proxies. We introduce Multiple-Prediction-Powered Inference (MultiPPI): a general framework for constructing…

This technical report describes the usage, syntax, semantics and core algorithms of the probabilistic inductive logic programming framework PrASP. PrASP is a research software which integrates non-monotonic reasoning based on Answer Set…

Artificial Intelligence · Computer Science 2017-01-02 Matthias Nickles

We introduce a probabilistic extension of Levy's Call-By-Push-Value. This extension consists simply in adding a " flipping coin " boolean closed atomic expression. This language can be understood as a major generalization of Scott's PCF…

Logic in Computer Science · Computer Science 2023-06-22 Thomas Ehrhard , Christine Tasson

Dependency parsing is a fundamental task in natural language processing (NLP), aiming to identify syntactic dependencies and construct a syntactic tree for a given sentence. Traditional dependency parsing models typically construct…

Computation and Language · Computer Science 2025-02-25 Keunha Kim , Youngjoong Ko

Statistical language models conventionally implement representation learning based on the contextual distribution of words or other formal units, whereas any information related to the logographic features of written text are often ignored,…

Computation and Language · Computer Science 2022-11-07 Zijian Jin , Duygu Ataman

Causal multiteam semantics is a framework where probabilistic dependencies arising from data and causation between variables can be together formalized and studied logically. We consider several logics in the setting of causal multiteam…

Logic in Computer Science · Computer Science 2023-03-22 Fausto Barbero , Jonni Virtema

While a large body of work has scrutinized the meaning of conditional sentences, considerably less attention has been paid to formal models of their pragmatic use and interpretation. Here, we take a probabilistic approach to pragmatic…

Computation and Language · Computer Science 2022-10-14 Britta Grusdt , Daniel Lassiter , Michael Franke

The mathematical representation of semantics is a key issue for Natural Language Processing (NLP). A lot of research has been devoted to finding ways of representing the semantics of individual words in vector spaces. Distributional…

Computation and Language · Computer Science 2014-11-13 Karl Moritz Hermann

Machine learning and geostatistics are powerful mathematical frameworks for modeling spatial data. Both approaches, however, suffer from poor scaling of the required computational resources for large data applications. We present the…

Machine Learning · Computer Science 2015-07-15 Dionissios T. Hristopulos

Over the past three decades, the logic programming paradigm has been successfully expanded to support probabilistic modeling, inference and learning. The resulting paradigm of probabilistic logic programming (PLP) and its programming…

Artificial Intelligence · Computer Science 2024-09-10 Pedro Zuidberg Dos Martires , Luc De Raedt , Angelika Kimmig

The intuitive notion of evidence has both semantic and syntactic features. In this paper, we develop an {\em evidence logic} for epistemic agents faced with possibly contradictory evidence from different sources. The logic is based on a…

Logic · Mathematics 2013-07-05 Johan van Benthem , David Fernández-Duque , Eric Pacuit

Language models often struggle with idiomatic, figurative, or context-sensitive inputs, not because they produce flawed outputs, but because they misinterpret the input from the outset. We propose an input-only method for anticipating such…

Computation and Language · Computer Science 2025-09-25 Maggie Mi , Aline Villavicencio , Nafise Sadat Moosavi
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