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Sum-Product Networks (SPNs) are hierarchical, graphical models that combine benefits of deep learning and probabilistic modeling. SPNs offer unique advantages to applications demanding exact probabilistic inference over high-dimensional,…

机器学习 · 计算机科学 2020-09-24 Jos van de Wolfshaar , Andrzej Pronobis

A sum-product network (SPN) is a probabilistic model, based on a rooted acyclic directed graph, in which terminal nodes represent univariate probability distributions and non-terminal nodes represent convex combinations (weighted sums) and…

机器学习 · 计算机科学 2020-04-03 Iago París , Raquel Sánchez-Cauce , Francisco Javier Díez

Sum-Product Networks (SPNs) are recently introduced deep tractable probabilistic models by which several kinds of inference queries can be answered exactly and in a tractable time. Up to now, they have been largely used as black box density…

机器学习 · 计算机科学 2018-08-27 Antonio Vergari , Nicola Di Mauro , Floriana Esposito

The need for consistent treatment of uncertainty has recently triggered increased interest in probabilistic deep learning methods. However, most current approaches have severe limitations when it comes to inference, since many of these…

Sum-product networks (SPNs) are probabilistic models characterized by exact and fast evaluation of fundamental probabilistic operations. Its superior computational tractability has led to applications in many fields, such as machine…

机器学习 · 统计学 2024-06-19 Soma Yokoi , Issei Sato

A sum-product network (SPN) is a graphical model that allows several types of inferences to be drawn efficiently. There are two types of learning for SPNs: Learning the architecture of the model, and learning the parameters. In this paper,…

机器学习 · 计算机科学 2021-10-18 Ernst Althaus , Mohammad Sadeq Dousti , Stefan Kramer , Nick Johannes Peter Rassau

We introduce Graph-Induced Sum-Product Networks (GSPNs), a new probabilistic framework for graph representation learning that can tractably answer probabilistic queries. Inspired by the computational trees induced by vertices in the context…

机器学习 · 计算机科学 2024-02-19 Federico Errica , Mathias Niepert

Sum-Product Networks (SPN) have recently emerged as a new class of tractable probabilistic graphical models. Unlike Bayesian networks and Markov networks where inference may be exponential in the size of the network, inference in SPNs is in…

机器学习 · 计算机科学 2016-07-19 Mazen Melibari , Pascal Poupart , Prashant Doshi , George Trimponias

The key limiting factor in graphical model inference and learning is the complexity of the partition function. We thus ask the question: what are general conditions under which the partition function is tractable? The answer leads to a new…

机器学习 · 计算机科学 2012-02-20 Hoifung Poon , Pedro Domingos

We introduce sum-product networks (SPNs) for robust speech processing through a simple robust automatic speaker identification (ASI) task. SPNs are deep probabilistic graphical models capable of answering multiple probabilistic queries. We…

音频与语音处理 · 电气工程与系统科学 2020-08-14 Aaron Nicolson , Kuldip K. Paliwal

In several domains obtaining class annotations is expensive while at the same time unlabelled data are abundant. While most semi-supervised approaches enforce restrictive assumptions on the data distribution, recent work has managed to…

机器学习 · 统计学 2017-10-11 Martin Trapp , Tamas Madl , Robert Peharz , Franz Pernkopf , Robert Trappl

Probabilistic graphical models are a central tool in AI; however, they are generally not as expressive as deep neural models, and inference is notoriously hard and slow. In contrast, deep probabilistic models such as sum-product networks…

Deep generative models have recently made a remarkable progress in capturing complex probability distributions over graphs. However, they are intractable and thus unable to answer even the most basic probabilistic inference queries without…

机器学习 · 计算机科学 2024-08-20 Milan Papež , Martin Rektoris , Václav Šmídl , Tomáš Pevný

Sum-Product Networks (SPNs) are a class of expressive yet tractable hierarchical graphical models. LearnSPN is a structure learning algorithm for SPNs that uses hierarchical co-clustering to simultaneously identifying similar entities and…

人工智能 · 计算机科学 2016-04-26 Viktoriya Krakovna , Moshe Looks

Sum-product networks (SPNs) have recently emerged as a novel deep learning architecture enabling highly efficient probabilistic inference. Since their introduction, SPNs have been applied to a wide range of data modalities and extended to…

机器学习 · 计算机科学 2022-11-15 Adam Dejl , Harsh Deep , Jonathan Fei , Ardavan Saeedi , Li-wei H. Lehman

The success of deep neural networks in many real-world applications is leading to new challenges in building more efficient architectures. One effective way of making networks more efficient is neural network compression. We provide an…

机器学习 · 计算机科学 2019-12-23 Andrey Kuzmin , Markus Nagel , Saurabh Pitre , Sandeep Pendyam , Tijmen Blankevoort , Max Welling

We introduce factorize sum split product networks (FSPNs), a new class of probabilistic graphical models (PGMs). FSPNs are designed to overcome the drawbacks of existing PGMs in terms of estimation accuracy and inference efficiency.…

人工智能 · 计算机科学 2020-11-23 Ziniu Wu , Rong Zhu , Andreas Pfadler , Yuxing Han , Jiangneng Li , Zhengping Qian , Kai Zeng , Jingren Zhou

Sum-Product Networks (SPNs) can be regarded as a form of deep graphical models that compactly represent deeply factored and mixed distributions. An SPN is a rooted directed acyclic graph (DAG) consisting of a set of leaves (corresponding to…

机器学习 · 计算机科学 2020-02-27 Ishaq Aden-Ali , Hassan Ashtiani

Sum-Product Networks (SPNs) are expressive probabilistic models that provide exact, tractable inference. They achieve this efficiency by making use of local independence. On the other hand, mixtures of exchangeable variable models (MEVMs)…

机器学习 · 计算机科学 2022-04-29 Stefan Lüdtke , Christian Bartelt , Heiner Stuckenschmidt

Sum Product Networks (SPNs) are a recently developed class of deep generative models which compute their associated unnormalized density functions using a special type of arithmetic circuit. When certain sufficient conditions, called the…

机器学习 · 计算机科学 2015-01-26 James Martens , Venkatesh Medabalimi
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