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To allow for tractable probabilistic inference with respect to domain sizes, lifted probabilistic inference exploits symmetries in probabilistic graphical models. However, checking whether two factors encode equivalent semantics and hence…

Artificial Intelligence · Computer Science 2024-04-08 Malte Luttermann , Johann Machemer , Marcel Gehrke

Exploiting the indistinguishability of objects in a probabilistic graphical model such as a factor graph is key to lifted probabilistic inference algorithms and allows for tractable probabilistic inference problems with respect to domain…

Artificial Intelligence · Computer Science 2026-05-27 Malte Luttermann , Ralf Möller , Marcel Gehrke

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

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

Lifting exploits symmetries in probabilistic graphical models by using a representative for indistinguishable objects, allowing to carry out query answering more efficiently while maintaining exact answers. In this paper, we investigate how…

Artificial Intelligence · Computer Science 2024-06-04 Malte Luttermann , Ralf Möller , Marcel Gehrke

We propose a novel method to optimize the structure of factor graphs for graph-based inference. As an example inference task, we consider symbol detection on linear inter-symbol interference channels. The factor graph framework has the…

Information Theory · Computer Science 2023-06-02 Lukas Rapp , Luca Schmid , Andrej Rode , Laurent Schmalen

Factor analysis models explain dependence among observed variables by a smaller number of unobserved factors. A main challenge in confirmatory factor analysis is determining whether the factor loading matrix is identifiable from the…

Statistics Theory · Mathematics 2026-01-21 Nils Sturma , Miriam Kranzlmueller , Irem Portakal , Mathias Drton

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

We explore new approaches for finding matrix multiplication algorithms in the commutative setting by adapting the flip graph technique: a method previously shown to be effective for discovering fast algorithms in the non-commutative case.…

Symbolic Computation · Computer Science 2025-06-30 Isaac Wood

Expectation propagation is a general approach to fast approximate inference for graphical models. The existing literature treats models separately when it comes to deriving and coding expectation propagation inference algorithms. This comes…

Methodology · Statistics 2018-01-17 Wilson Y. Chen , Matt P. Wand

A wide class of machine learning algorithms can be reduced to variable elimination on factor graphs. While factor graphs provide a unifying notation for these algorithms, they do not provide a compact way to express repeated structure when…

Machine Learning · Statistics 2019-05-20 Fritz Obermeyer , Eli Bingham , Martin Jankowiak , Justin Chiu , Neeraj Pradhan , Alexander Rush , Noah Goodman

We consider the application of the factor graph framework for symbol detection on linear inter-symbol interference channels. Based on the Ungerboeck observation model, a detection algorithm with appealing complexity properties can be…

Information Theory · Computer Science 2022-11-28 Luca Schmid , Laurent Schmalen

We study the application of the factor graph framework for symbol detection on linear inter-symbol interference channels. Cyclic factor graphs have the potential to yield low-complexity symbol detectors, but are suboptimal if the ubiquitous…

Information Theory · Computer Science 2022-08-30 Luca Schmid , Laurent Schmalen

In this paper, we propose a parametrised factor that enables inference on Gaussian networks where linear dependencies exist among the random variables. Our factor representation is effectively a generalisation of traditional Gaussian…

Machine Learning · Computer Science 2022-08-05 J. C. Schoeman , C. E. van Daalen , J. A. du Preez

Lifting exploits symmetries in probabilistic graphical models by using a representative for indistinguishable objects, allowing to carry out query answering more efficiently while maintaining exact answers. In this paper, we investigate how…

Artificial Intelligence · Computer Science 2025-04-08 Malte Luttermann , Ralf Möller , Marcel Gehrke

Lifting uses a representative of indistinguishable individuals to exploit symmetries in probabilistic relational models, denoted as parametric factor graphs, to speed up inference while maintaining exact answers. In this paper, we show how…

Artificial Intelligence · Computer Science 2024-11-12 Malte Luttermann , Tanya Braun , Ralf Möller , Marcel Gehrke

In matrix factorization, available graph side-information may not be well suited for the matrix completion problem, having edges that disagree with the latent-feature relations learnt from the incomplete data matrix. We show that removing…

Machine Learning · Computer Science 2020-12-18 Jonathan Strahl , Jaakko Peltonen , Hiroshi Mamitsuka , Samuel Kaski

For computing efficient approximate designs of multifactor experiments, we propose a simple algorithm based on adaptive exploration of the grid of all combinations of factor levels. We demonstrate that the algorithm significantly…

Computation · Statistics 2021-04-12 Radoslav Harman , Lenka Filová , Samuel Rosa

The Graph Isomorphism problem has both theoretical and practical interest. In this paper we present an algorithm, called conauto-1.2, that efficiently tests whether two graphs are isomorphic, and finds an isomorphism if they are. This…

Data Structures and Algorithms · Computer Science 2011-06-23 Jose Luis Lopez-Presa , Antonio Fernandez Anta

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
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