On the Latent Variable Interpretation in Sum-Product Networks
نویسندگان
چکیده
منابع مشابه
Learning Sum-Product Networks with Direct and Indirect Variable Interactions
Sum-product networks (SPNs) are a deep probabilistic representation that allows for efficient, exact inference. SPNs generalize many other tractable models, including thin junction trees, latent tree models, and many types of mixtures. Previous work on learning SPN structure has mainly focused on using top-down or bottom-up clustering to find mixtures, which capture variable interactions indire...
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We present a novel tractable generative model that extends Sum-Product Networks (SPNs) and significantly boosts their power. We call it Sum-Product-Quotient Networks (SPQNs), whose core concept is to incorporate conditional distributions into the model by direct computation using quotient nodes, e.g. P (A|B)= (A,B) P (B) . We provide sufficient conditions for the tractability of SPQNs that gene...
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Sum-product networks are a relatively new and increasingly popular class of (precise) probabilistic graphical models that allow for marginal inference with polynomial effort. As with other probabilistic models, sum-product networks are often learned from data and used to perform classification. Hence, their results are prone to be unreliable and overconfident. In this work, we develop credal su...
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Inference in dynamic graphical models is known to be hard, except for models with low treewidth structure. This restricts severely the expressive power of these kinds of models. In this document we are proposing a new type of dynamic graphical model that allows one to model complex stochastic processes with unbounded treewidth while guaranteeing tractable exact inferenc e. The proposed dynamic ...
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Sum-Product Networks (SPNs), which are probabilistic inference machines, have attracted a lot of interests in recent years. They have a wide range of applications, including but not limited to activity modeling, language modeling and speech modeling. Despite their practical applications and popularity, little research has been done in understanding what is the connection and difference between ...
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ژورنال
عنوان ژورنال: IEEE Transactions on Pattern Analysis and Machine Intelligence
سال: 2017
ISSN: 0162-8828,2160-9292,1939-3539
DOI: 10.1109/tpami.2016.2618381