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This survey offers a rigorous taxonomy of tractable probabilistic generative models, specifically analyzing the critical trade-offs between expressivity and computational efficiency within Probabilistic Circuits. By integrating concepts from deep neural networks to create hybrid architectures, the paper outlines key algorithmic extensions that could redefine scalable inference methods for complex AI systems. The review serves as an essential reference for researchers navigating the intersection of structured probabilistic modeling and modern deep learning techniques.
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Building Expressive and Tractable Probabilistic Generative Models: A Review

arXiv1 min read

arXiv:2402.00759v4 Announce Type: replace Abstract: 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 trade-offs between expressivity and tractability, highlighting the design principles and algorithmic extensions that have enabled building expressive and efficient PCs, and provide a taxonomy of the field. We also discuss recent efforts to build deep and hybrid PCs by fusing notions from deep neural models, and outline the challenges and open questions that can guide future research in this evolving field.

Abstract: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 trade-offs between expressivity and tractability, highlighting the design principles and algorithmic extensions that have enabled building expressive and efficient PCs, and provide a taxonomy of the field. We also discuss recent efforts to build deep and hybrid PCs by fusing notions from deep neural models, and outline the challenges and open questions that can guide future research in this evolving field.

Machine Learning (cs.LG); Artificial Intelligence (cs.AI)

arXiv:2402.00759 [cs.LG]

(or arXiv:2402.00759v4 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2402.00759 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 188 words

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