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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 35 / No. 13: AAAI-21 Technical Tracks 13

Probabilistic Dependency Graphs

February 1, 2023

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Authors

Oliver Richardson

Cornell University


Joseph Y Halpern

Cornell University


DOI:

10.1609/aaai.v35i13.17445


Abstract:

We introduce Probabilistic Dependency Graphs (PDGs), a new class of directed graphical models. PDGs can capture inconsistent beliefs in a natural way and are more modular than Bayesian Networks (BNs), in that they make it easier to incorporate new information and restructure the representation. We show by example how PDGs are an especially natural modeling tool. We provide three semantics for PDGs, each of which can be derived from a scoring function (on joint distributions over the variables in the network) that can be viewed as representing a distribution's incompatibility with the PDG. For the PDG corresponding to a BN, this function is uniquely minimized by the distribution the BN represents, showing that PDG semantics extend BN semantics. We show further that factor graphs and their exponential families can also be faithfully represented as PDGs, while there are significant barriers to modeling a PDG with a factor graph.

Topics: AAAI

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HOW TO CITE:

Oliver Richardson||Joseph Y Halpern Probabilistic Dependency Graphs Proceedings of the AAAI Conference on Artificial Intelligence (2021) 12174-12181.

Oliver Richardson||Joseph Y Halpern Probabilistic Dependency Graphs AAAI 2021, 12174-12181.

Oliver Richardson||Joseph Y Halpern (2021). Probabilistic Dependency Graphs. Proceedings of the AAAI Conference on Artificial Intelligence, 12174-12181.

Oliver Richardson||Joseph Y Halpern. Probabilistic Dependency Graphs. Proceedings of the AAAI Conference on Artificial Intelligence 2021 p.12174-12181.

Oliver Richardson||Joseph Y Halpern. 2021. Probabilistic Dependency Graphs. "Proceedings of the AAAI Conference on Artificial Intelligence". 12174-12181.

Oliver Richardson||Joseph Y Halpern. (2021) "Probabilistic Dependency Graphs", Proceedings of the AAAI Conference on Artificial Intelligence, p.12174-12181

Oliver Richardson||Joseph Y Halpern, "Probabilistic Dependency Graphs", AAAI, p.12174-12181, 2021.

Oliver Richardson||Joseph Y Halpern. "Probabilistic Dependency Graphs". Proceedings of the AAAI Conference on Artificial Intelligence, 2021, p.12174-12181.

Oliver Richardson||Joseph Y Halpern. "Probabilistic Dependency Graphs". Proceedings of the AAAI Conference on Artificial Intelligence, (2021): 12174-12181.

Oliver Richardson||Joseph Y Halpern. Probabilistic Dependency Graphs. AAAI[Internet]. 2021[cited 2023]; 12174-12181.


ISSN: 2374-3468


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