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What is the Relationship between Tensor Factorizations and Circuits (and How Can We Exploit it)?
Lorenzo Loconte, Antonio Mari, Gennaro Gala +5
This paper establishes a rigorous connection between circuit representations and tensor factorizations, two seemingly distinct yet fundamentally related areas. By connecting these…
Scaling Continuous Latent Variable Models as Probabilistic Integral Circuits
Gennaro Gala, Cassio de Campos, Antonio Vergari +1
Probabilistic integral circuits (PICs) have been recently introduced as probabilistic models enjoying the key ingredient behind expressive generative models: continuous latent vari…
Probabilistic Integral Circuits
Gennaro Gala, Cassio de Campos, Robert Peharz +2
Continuous latent variables (LVs) are a key ingredient of many generative models, as they allow modelling expressive mixtures with an uncountable number of components. In contrast,…
Bayesian Structure Scores for Probabilistic Circuits
Yang Yang, Gennaro Gala, Robert Peharz
Probabilistic circuits (PCs) are a prominent representation of probability distributions with tractable inference. While parameter learning in PCs is rigorously studied, structure…
DeeProb-kit: a Python Library for Deep Probabilistic Modelling
Lorenzo Loconte, Gennaro Gala
DeeProb-kit is a unified library written in Python consisting of a collection of deep probabilistic models (DPMs) that are tractable and exact representations for the modelled prob…