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We propose a new, more general definition of extended probability measures. We study their properties and provide a behavioral interpretation. We put them to use in an inference procedure, whose environment is canonically represented by the…

Statistics Theory · Mathematics 2023-01-13 Michele Caprio , Sayan Mukherjee

Probabilistic matrix factorization (PMF) is a powerful method for modeling data associ- ated with pairwise relationships, Finding use in collaborative Filtering, computational bi- ology, and document analysis, among other areas. In many…

Machine Learning · Computer Science 2014-08-12 Ryan Prescott Adams , George E. Dahl , Iain Murray

Probabilistic inference procedures are usually coded painstakingly from scratch, for each target model and each inference algorithm. We reduce this effort by generating inference procedures from models automatically. We make this code…

Machine Learning · Statistics 2017-07-13 Robert Zinkov , Chung-chieh Shan

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

Probabilistic context free grammars (PCFG) have been the core of the probabilistic reasoning based parsers for several years especially in the context of the NLP. Multi entity bayesian networks (MEBN) a First Order Logic probabilistic…

Artificial Intelligence · Computer Science 2019-01-29 Shrinivasan R Patnaik Patnaikuni , Dr. Sachin R Gengaje

Incorporating side observations in decision making can reduce uncertainty and boost performance, but it also requires we tackle a potentially complex predictive relationship. While one may use off-the-shelf machine learning methods to…

Machine Learning · Statistics 2021-09-01 Yichun Hu , Nathan Kallus , Xiaojie Mao

Intuitively, unfamiliarity should lead to lack of confidence. In reality, current algorithms often make highly confident yet wrong predictions when faced with relevant but unfamiliar examples. A classifier we trained to recognize gender is…

Computer Vision and Pattern Recognition · Computer Science 2020-09-09 Zhizhong Li , Derek Hoiem

Probabilistic Circuits (PCs) are a promising avenue for probabilistic modeling. They combine advantages of probabilistic graphical models (PGMs) with those of neural networks (NNs). Crucially, however, they are tractable probabilistic…

Machine Learning · Computer Science 2021-06-07 Anji Liu , Guy Van den Broeck

In probabilistic approaches to classification and information extraction, one typically builds a statistical model of words under the assumption that future data will exhibit the same regularities as the training data. In many data sets,…

Machine Learning · Computer Science 2013-01-07 David Blei , J Andrew Bagnell , Andrew McCallum

The widespread adoption of large language models (LLMs) makes it important to recognize their strengths and limitations. We argue that in order to develop a holistic understanding of these systems we need to consider the problem that they…

Computation and Language · Computer Science 2023-09-26 R. Thomas McCoy , Shunyu Yao , Dan Friedman , Matthew Hardy , Thomas L. Griffiths

This paper addresses two central problems for probabilistic processing models: parameter estimation from incomplete data and efficient retrieval of most probable analyses. These questions have been answered satisfactorily only for…

cmp-lg · Computer Science 2007-05-23 Stefan Riezler

Top-down parsing has received much attention recently. Parsing expression grammars (PEG) allows construction of linear time parsers using packrat algorithm. These techniques however suffer from problem of prefix hiding. We use alternative…

Formal Languages and Automata Theory · Computer Science 2012-05-10 Ondřej Bílka

Ad hoc parsers are everywhere: they appear any time a string is split, looped over, interpreted, transformed, or otherwise processed. Every ad hoc parser gives rise to a language: the possibly infinite set of input strings that the program…

Software Engineering · Computer Science 2022-07-27 Michael Schröder , Jürgen Cito

Non-conjugate Gaussian processes (NCGPs) define a flexible probabilistic framework to model categorical, ordinal and continuous data, and are widely used in practice. However, exact inference in NCGPs is prohibitively expensive for large…

Machine Learning · Computer Science 2025-04-18 Lukas Tatzel , Jonathan Wenger , Frank Schneider , Philipp Hennig

Despite the recent success of Large Language Models (LLMs), it remains challenging to feed LLMs with long prompts due to the fixed size of LLM inputs. As a remedy, prompt compression becomes a promising solution by removing redundant tokens…

Computation and Language · Computer Science 2025-01-06 Ziyang Yu , Yuyu Liu

Predictive coding (PC) offers a local and biologically grounded alternative to backpropagation in the training of artificial neural networks, yet to date, it remains slower, and performance degrades sharply as network depth increases. We…

Machine Learning · Computer Science 2026-05-21 Aleksandrs Baskakovs , Sylvain Estebe , Kenneth Enevoldsen , Kristoffer Nielbo , Chris Mathys , Nicolas Legrand

We lack a systematic understanding of the effects of fine-tuning (via methods such as instruction-tuning or reinforcement learning from human feedback), particularly on tasks outside the narrow fine-tuning distribution. In a simplified…

Computation and Language · Computer Science 2024-04-16 Suhas Kotha , Jacob Mitchell Springer , Aditi Raghunathan

The handling of probabilities in the form of uncertainty or partial information is an essential task for LLMs in many settings and applications. A common approach to evaluate an LLM's probabilistic reasoning capabilities is to assess its…

Artificial Intelligence · Computer Science 2026-02-12 Manuel Mondal , Ljiljana Dolamic , Gérôme Bovet , Philippe Cudré-Mauroux , Julien Audiffren

Parsing Expression Grammars (PEGs) define languages by specifying recursive-descent parser that recognises them. The PEG formalism exhibits desirable properties, such as closure under composition, built-in disambiguation, unification of…

Programming Languages · Computer Science 2016-09-20 Nicolas Laurent , Kim Mens

We propose a new method to approximate the posterior distribution of probabilistic programs by means of computing guaranteed bounds. The starting point of our work is an interval-based trace semantics for a recursive, higher-order…

Programming Languages · Computer Science 2022-06-07 Raven Beutner , Luke Ong , Fabian Zaiser