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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…

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…

Machine Learning · Computer Science 2019-10-01 Xiaoting Shao , Alejandro Molina , Antonio Vergari , Karl Stelzner , Robert Peharz , Thomas Liebig , Kristian Kersting

Sum-product networks (SPNs) represent an emerging class of neural networks with clear probabilistic semantics and superior inference speed over graphical models. This work reveals a strikingly intimate connection between SPNs and tensor…

Machine Learning · Computer Science 2018-11-12 Ching-Yun Ko , Cong Chen , Yuke Zhang , Kim Batselier , Ngai Wong

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,…

Machine Learning · Computer Science 2020-09-24 Jos van de Wolfshaar , Andrzej Pronobis

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…

Machine Learning · Computer Science 2022-11-15 Adam Dejl , Harsh Deep , Jonathan Fei , Ardavan Saeedi , Li-wei H. Lehman

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…

Machine Learning · Computer Science 2020-04-03 Iago París , Raquel Sánchez-Cauce , Francisco Javier Díez

Artificial neural networks (ANN) have become the mainstream acoustic modeling technique for large vocabulary automatic speech recognition (ASR). A conventional ANN features a multi-layer architecture that requires massive amounts of…

Neural and Evolutionary Computing · Computer Science 2019-11-20 Jibin Wu , Emre Yilmaz , Malu Zhang , Haizhou Li , Kay Chen Tan

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…

Machine Learning · Statistics 2017-10-11 Martin Trapp , Tamas Madl , Robert Peharz , Franz Pernkopf , Robert Trappl

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…

Machine Learning · Statistics 2024-06-19 Soma Yokoi , Issei Sato

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…

Machine Learning · Computer Science 2018-08-27 Antonio Vergari , Nicola Di Mauro , Floriana Esposito

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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 2012-02-20 Hoifung Poon , Pedro Domingos

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)…

Machine Learning · Computer Science 2022-04-29 Stefan Lüdtke , Christian Bartelt , Heiner Stuckenschmidt

Recent investigations into sum-product-max networks (SPMN) that generalize sum-product networks (SPN) offer a data-driven alternative for decision making, which has predominantly relied on handcrafted models. SPMNs computationally represent…

Artificial Intelligence · Computer Science 2020-06-15 Hari Teja Tatavarti , Prashant Doshi , Layton Hayes

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…

Machine Learning · Computer Science 2015-01-26 James Martens , Venkatesh Medabalimi

We introduce Graph-Structured Sum-Product Networks (GraphSPNs), a probabilistic approach to structured prediction for problems where dependencies between latent variables are expressed in terms of arbitrary, dynamic graphs. While many…

Machine Learning · Computer Science 2017-11-23 Kaiyu Zheng , Andrzej Pronobis , Rajesh P. N. Rao

We consider the problem of explaining a class of tractable deep probabilistic models, the Sum-Product Networks (SPNs) and present an algorithm ExSPN to generate explanations. To this effect, we define the notion of a context-specific…

Machine Learning · Computer Science 2022-09-23 Athresh Karanam , Saurabh Mathur , Predrag Radivojac , David M. Haas , Kristian Kersting , Sriraam Natarajan

This paper presented our work on applying Recurrent Deep Stacking Networks (RDSNs) to Robust Automatic Speech Recognition (ASR) tasks. In the paper, we also proposed a more efficient yet comparable substitute to RDSN, Bi- Pass Stacking…

Computation and Language · Computer Science 2020-11-12 Peidong Wang , Zhongqiu Wang , Deliang Wang

We consider higher-order linear-chain conditional random fields (HO-LC-CRFs) for sequence modelling, and use sum-product networks (SPNs) for representing higher-order input- and output-dependent factors. SPNs are a recently introduced class…

Machine Learning · Computer Science 2018-07-09 Martin Ratajczak , Sebastian Tschiatschek , Franz Pernkopf

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…

Machine Learning · Computer Science 2024-02-19 Federico Errica , Mathias Niepert
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