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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…

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

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

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

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

Recent trends in self-supervised representation learning have focused on removing inductive biases from training pipelines. However, inductive biases can be useful in settings when limited data are available or provide additional insight…

计算机视觉与模式识别 · 计算机科学 2022-09-09 Kevin Miao , Akash Gokul , Raghav Singh , Suzanne Petryk , Joseph Gonzalez , Kurt Keutzer , Trevor Darrell , Colorado Reed

This paper introduces a new probabilistic architecture called Sum-Product Graphical Model (SPGM). SPGMs combine traits from Sum-Product Networks (SPNs) and Graphical Models (GMs): Like SPNs, SPGMs always enable tractable inference using a…

机器学习 · 统计学 2017-08-23 Mattia Desana , Christoph Schnörr

We present a novel framework, Spatial Pyramid Attention Network (SPAN) for detection and localization of multiple types of image manipulations. The proposed architecture efficiently and effectively models the relationship between image…

计算机视觉与模式识别 · 计算机科学 2021-01-15 Xuefeng Hu , Zhihan Zhang , Zhenye Jiang , Syomantak Chaudhuri , Zhenheng Yang , Ram Nevatia

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

While Gaussian processes (GPs) are the method of choice for regression tasks, they also come with practical difficulties, as inference cost scales cubic in time and quadratic in memory. In this paper, we introduce a natural and expressive…

机器学习 · 计算机科学 2018-09-13 Martin Trapp , Robert Peharz , Carl E. Rasmussen , 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…

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

Probabilistic representations, such as Bayesian and Markov networks, are fundamental to much of statistical machine learning. Thus, learning probabilistic representations directly from data is a deep challenge, the main computational…

机器学习 · 计算机科学 2020-06-16 Amelie Levray , Vaishak Belle

The success of deep active learning hinges on the choice of an effective acquisition function, which ranks not yet labeled data points according to their expected informativeness. Many acquisition functions are (partly) based on the…

机器学习 · 计算机科学 2023-11-08 Mohamadsadegh Khosravani , Sandra Zilles

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

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

While probabilistic models are an important tool for studying causality, doing so suffers from the intractability of inference. As a step towards tractable causal models, we consider the problem of learning interventional distributions…

机器学习 · 计算机科学 2021-10-26 Matej Zečević , Devendra Singh Dhami , Athresh Karanam , Sriraam Natarajan , 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…

机器学习 · 计算机科学 2018-11-12 Ching-Yun Ko , Cong Chen , Yuke Zhang , Kim Batselier , Ngai Wong

Daily internet communication relies heavily on tree-structured graphs, embodied by popular data formats such as XML and JSON. However, many recent generative (probabilistic) models utilize neural networks to learn a probability distribution…

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

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

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
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