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A key goal in the design of probabilistic inference algorithms is identifying and exploiting properties of the distribution that make inference tractable. Lifted inference algorithms identify symmetry as a property that enables efficient…

Artificial Intelligence · Computer Science 2019-07-02 Steven Holtzen , Todd Millstein , Guy Van den Broeck

Lifted probabilistic inference exploits symmetries in a probabilistic model to allow for tractable probabilistic inference with respect to domain sizes of logical variables. We found that the current state-of-the-art algorithm to construct…

Artificial Intelligence · Computer Science 2024-11-21 Malte Luttermann , Ralf Möller , Marcel Gehrke

There has been a great deal of recent interest in methods for performing lifted inference; however, most of this work assumes that the first-order model is given as input to the system. Here, we describe lifted inference algorithms that…

Artificial Intelligence · Computer Science 2012-05-14 Prithviraj Sen , Amol Deshpande , Lise Getoor

A number of algorithms have been developed to solve probabilistic inference problems on belief networks. These algorithms can be divided into two main groups: exact techniques which exploit the conditional independence revealed when the…

Artificial Intelligence · Computer Science 2013-04-08 Ross D. Shachter , Mark Alan Peot

Lifted probabilistic inference exploits symmetries in a probabilistic model to allow for tractable probabilistic inference with respect to domain sizes. To apply lifted inference, a lifted representation has to be obtained, and to do so,…

Artificial Intelligence · Computer Science 2023-12-18 Malte Luttermann , Tanya Braun , Ralf Möller , Marcel Gehrke

Relational Continuous Models (RCMs) represent joint probability densities over attributes of objects, when the attributes have continuous domains. With relational representations, they can model joint probability distributions over large…

Artificial Intelligence · Computer Science 2012-03-19 Jaesik Choi , Eyal Amir , David J. Hill

Lifted samplers form a class of Markov chain Monte Carlo methods which has drawn a lot attention in recent years due to superior performance in challenging Bayesian applications. A canonical example of lifted samplers is the one that is…

Computation · Statistics 2026-05-01 Philippe Gagnon , Florian Maire

A variety of lifted inference algorithms, which exploit model symmetry to reduce computational cost, have been proposed to render inference tractable in probabilistic relational models. Most existing lifted inference algorithms operate only…

Machine Learning · Computer Science 2020-02-11 Yuqiao Chen , Yibo Yang , Sriraam Natarajan , Nicholas Ruozzi

Lifted inference exploits symmetries in probabilistic graphical models by using a representative for indistinguishable objects, thereby speeding up query answering while maintaining exact answers. Even though lifting is a well-established…

Artificial Intelligence · Computer Science 2024-03-18 Malte Luttermann , Mattis Hartwig , Tanya Braun , Ralf Möller , Marcel Gehrke

We present a novel approach to detecting and utilizing symmetries in probabilistic graphical models with two main contributions. First, we present a scalable approach to computing generating sets of permutation groups representing the…

Artificial Intelligence · Computer Science 2014-08-12 Mathias Niepert

We present a novel approach to detecting and utilizing symmetries in probabilistic graphical models with two main contributions. First, we present a scalable approach to computing generating sets of permutation groups representing the…

Artificial Intelligence · Computer Science 2012-06-29 Mathias Niepert

This article presents a survey of work on lifted graphical models. We review a general form for a lifted graphical model, a par-factor graph, and show how a number of existing statistical relational representations map to this formalism. We…

Artificial Intelligence · Computer Science 2011-08-29 Lilyana Mihalkova , Lise Getoor

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

In this paper, we consider the problem of lifted inference in the context of Prism-like probabilistic logic programming languages. Traditional inference in such languages involves the construction of an explanation graph for the query and…

Artificial Intelligence · Computer Science 2016-08-23 Arun Nampally , C. R. Ramakrishnan

Automated methods for discovering mechanistic simulator models from observational data offer a promising path toward accelerating scientific progress. Such methods often take the form of agentic-style iterative workflows that repeatedly…

Machine Learning · Computer Science 2026-02-23 Stefan Wahl , Raphaela Schenk , Ali Farnoud , Jakob H. Macke , Daniel Gedon

Exponential random graph models are extremely difficult models to handle from a statistical viewpoint, since their normalising constant, which depends on model parameters, is available only in very trivial cases. We show how inference can…

Applications · Statistics 2010-09-30 Alberto Caimo , Nial Friel

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

Methodology · Statistics 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

We consider distributed estimation of the inverse covariance matrix, also called the concentration or precision matrix, in Gaussian graphical models. Traditional centralized estimation often requires global inference of the covariance…

Machine Learning · Statistics 2015-06-15 Zhaoshi Meng , Dennis Wei , Ami Wiesel , Alfred O. Hero

Lifted probabilistic inference (Poole, 2003) and symbolic dynamic programming for lifted stochastic planning (Boutilier et al, 2001) were introduced around the same time as algorithmic efforts to use abstraction in stochastic systems. Over…

Artificial Intelligence · Computer Science 2017-01-05 Roni Khardon , Scott Sanner

This paper develops a Bayesian computational platform at the interface between posterior sampling and optimization in models whose marginal likelihoods are difficult to evaluate. Inspired by adversarial optimization, namely Generative…

Statistics Theory · Mathematics 2021-12-01 Tetsuya Kaji , Veronika Rockova
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