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Related papers: Restructuring Tractable Probabilistic Circuits

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Probabilistic circuits (PCs) are a class of tractable probabilistic models, which admit efficient inference routines depending on their structural properties. In this paper, we introduce md-vtrees, a novel structural formulation of…

Artificial Intelligence · Computer Science 2023-04-18 Benjie Wang , Marta Kwiatkowska

Probabilistic circuits (PCs) represent a probability distribution as a computational graph. Enforcing structural properties on these graphs guarantees that several inference scenarios become tractable. Among these properties, structured…

Machine Learning · Computer Science 2020-09-03 Meihua Dang , Antonio Vergari , Guy Van den Broeck

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

Probabilistic circuits (PCs) are powerful probabilistic models that enable exact and tractable inference, making them highly suitable for probabilistic reasoning and inference tasks. While dominant in neural networks, representation…

Machine Learning · Computer Science 2025-07-29 Steven Braun , Sahil Sidheekh , Antonio Vergari , Martin Mundt , Sriraam Natarajan , Kristian Kersting

This work addresses integrating probabilistic propositional logic constraints into the distribution encoded by a probabilistic circuit (PC). PCs are a class of tractable models that allow efficient computations (such as conditional and…

Machine Learning · Computer Science 2024-03-21 Soroush Ghandi , Benjamin Quost , Cassio de Campos

Probabilistic circuits (PCs) have gained prominence in recent years as a versatile framework for discussing probabilistic models that support tractable queries and are yet expressive enough to model complex probability distributions.…

Machine Learning · Computer Science 2024-03-12 Pedro Zuidberg Dos Martires

Probabilistic circuits (PCs) are a tractable representation of probability distributions allowing for exact and efficient computation of likelihoods and marginals. There has been significant recent progress on improving the scale and…

Machine Learning · Computer Science 2022-11-24 Meihua Dang , Anji Liu , Guy Van den Broeck

Generating functions, which are widely used in combinatorics and probability theory, encode function values into the coefficients of a polynomial. In this paper, we explore their use as a tractable probabilistic model, and propose…

Artificial Intelligence · Computer Science 2021-06-15 Honghua Zhang , Brendan Juba , Guy Van den Broeck

Scaling probabilistic models to large realistic problems and datasets is a key challenge in machine learning. Central to this effort is the development of tractable probabilistic models (TPMs): models whose structure guarantees efficient…

Artificial Intelligence · Computer Science 2020-06-30 Honghua Zhang , Steven Holtzen , Guy Van den Broeck

Probabilistic circuits (PCs) are a powerful modeling framework for representing tractable probability distributions over combinatorial spaces. In machine learning and probabilistic programming, one is often interested in understanding…

Data Structures and Algorithms · Computer Science 2021-12-10 Yash Pote , Kuldeep S. Meel

Probabilistic circuits (PCs) are a class of tractable probabilistic models that allow efficient, often linear-time, inference of queries such as marginals and most probable explanations (MPE). However, marginal MAP, which is central to many…

Artificial Intelligence · Computer Science 2022-03-07 YooJung Choi , Tal Friedman , Guy Van den Broeck

In many real-world scenarios, it is crucial to be able to reliably and efficiently reason under uncertainty while capturing complex relationships in data. Probabilistic circuits (PCs), a prominent family of tractable probabilistic models,…

Machine Learning · Computer Science 2023-12-14 Zhongjie Yu , Martin Trapp , Kristian Kersting

Probabilistic circuits compute multilinear polynomials that represent multivariate probability distributions. They are tractable models that support efficient marginal inference. However, various polynomial semantics have been considered in…

Artificial Intelligence · Computer Science 2024-08-09 Oliver Broadrick , Honghua Zhang , Guy Van den Broeck

Probabilistic Circuits (PCs) are a general framework for tractable deep generative models, which support exact and efficient probabilistic inference on their learned distributions. Recent modeling and training advancements have enabled…

Machine Learning · Computer Science 2025-11-03 Anji Liu , Kareem Ahmed , Guy Van den Broeck

This study addresses the predictive limitation of probabilistic circuits and introduces transformations as a remedy to overcome it. We demonstrate this limitation in robotic scenarios. We motivate that independent component analysis is a…

Machine Learning · Statistics 2023-10-09 Tom Schierenbeck , Vladimir Vutov , Thorsten Dickhaus , Michael Beetz

We present a comprehensive survey of the advancements and techniques in the field of tractable probabilistic generative modeling, primarily focusing on Probabilistic Circuits (PCs). We provide a unified perspective on the inherent…

Machine Learning · Computer Science 2024-06-07 Sahil Sidheekh , Sriraam Natarajan

Probabilistic models based on continuous latent spaces, such as variational autoencoders, can be understood as uncountable mixture models where components depend continuously on the latent code. They have proven to be expressive tools for…

Machine Learning · Computer Science 2024-06-27 Alvaro H. C. Correia , Gennaro Gala , Erik Quaeghebeur , Cassio de Campos , Robert Peharz

Probabilistic Circuits (PCs) are tractable representations of probability distributions allowing for exact and efficient computation of likelihoods and marginals. Recent advancements have improved the scalability of PCs either by leveraging…

Machine Learning · Computer Science 2025-06-17 Honghua Zhang , Meihua Dang , Benjie Wang , Stefano Ermon , Nanyun Peng , Guy Van den Broeck

Significant efforts are being spent on building a quantum computer. At the same time, developments in quantum software are rapidly progressing. Insufficient quantum resources often are the problem when running quantum algorithms. New…

Quantum Physics · Physics 2025-10-06 Niels M. P. Neumann , Carlos M. R. Rocha , Jasper Verbree , Marc van Vliet

Probabilistic Circuits (PCs) are a class of generative models that allow exact and tractable inference for a wide range of queries. While recent developments have enabled the learning of deep and expressive PCs, this increased capacity can…

Machine Learning · Computer Science 2025-08-08 Hrithik Suresh , Sahil Sidheekh , Vishnu Shreeram M. P , Sriraam Natarajan , Narayanan C. Krishnan
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