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Related papers: Sum-Product-Quotient Networks

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Designing expressive generative models that support exact and efficient inference is a core question in probabilistic ML. Probabilistic circuits (PCs) offer a framework where this tractability-vs-expressiveness trade-off can be analyzed…

Machine Learning · Computer Science 2025-05-27 Lorenzo Loconte , Stefan Mengel , Antonio Vergari

One of the central themes in Sum-Product networks (SPNs) is the interpretation of sum nodes as marginalized latent variables (LVs). This interpretation yields an increased syntactic or semantic structure, allows the application of the EM…

Artificial Intelligence · Computer Science 2016-10-31 Robert Peharz , Robert Gens , Franz Pernkopf , Pedro Domingos

Inference in discrete graphical models with variational methods is difficult because of the inability to re-parameterize gradients of the Evidence Lower Bound (ELBO). Many sampling-based methods have been proposed for estimating these…

Machine Learning · Computer Science 2020-10-23 Andy Shih , Stefano Ermon

We introduce autoregressive implicit quantile networks (AIQN), a fundamentally different approach to generative modeling than those commonly used, that implicitly captures the distribution using quantile regression. AIQN is able to achieve…

Machine Learning · Computer Science 2018-06-15 Georg Ostrovski , Will Dabney , Rémi Munos

Recent years have witnessed Spiking Neural Networks (SNNs) gaining attention for their ultra-low energy consumption and high biological plausibility compared with traditional Artificial Neural Networks (ANNs). Despite their distinguished…

Neural and Evolutionary Computing · Computer Science 2024-08-30 Jiahang Cao , Hanzhong Guo , Ziqing Wang , Deming Zhou , Hao Cheng , Qiang Zhang , Renjing Xu

Generating functions, which are widely used in combinatorics and probability theory, encode function values into the coefficients of a polynomial. In this paper, we explore their use as a tractable probabilistic model, and propose…

Artificial Intelligence · Computer Science 2021-06-15 Honghua Zhang , Brendan Juba , Guy Van den Broeck

Spiking Neural Networks (SNN) are models for "realistic" neuronal computation, which makes them somehow different in scope from "ordinary" deep-learning models widely used in AI platforms nowadays. SNNs focus on timed latency (and possibly…

Artificial Intelligence · Computer Science 2025-06-17 Zhen Yao , Elisabetta De Maria , Robert De Simone

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…

Machine Learning · Computer Science 2018-09-13 Martin Trapp , Robert Peharz , Carl E. Rasmussen , Franz Pernkopf

Graph Neural Networks (GNNs) are eminently suitable for wireless resource management, thanks to their scalability, but they still face computational challenges in large-scale, dense networks in classical computers. The integration of…

Information Theory · Computer Science 2026-01-27 Le Tung Giang , Nguyen Xuan Tung , Trinh Van Chien , Lajos Hanzo , Won-Joo Hwang

We propose a novel method for applying Transformer models to extractive question answering (QA) tasks. Recently, pretrained generative sequence-to-sequence (seq2seq) models have achieved great success in question answering. Contributing to…

Computation and Language · Computer Science 2021-10-14 Peng Xu , Davis Liang , Zhiheng Huang , Bing Xiang

Equivariant quantum neural networks (QNNs) are promising variational models that exploit symmetries to improve machine learning capabilities. Despite theoretical developments in equivariant QNNs, their implementation on near-term quantum…

Quantum Physics · Physics 2026-04-20 Koki Chinzei , Quoc Hoan Tran , Yasuhiro Endo , Hirotaka Oshima

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,…

Machine Learning · Computer Science 2021-10-18 Ernst Althaus , Mohammad Sadeq Dousti , Stefan Kramer , Nick Johannes Peter Rassau

We present a comprehensive survey of the advancements and techniques in the field of tractable probabilistic generative modeling, primarily focusing on Probabilistic Circuits (PCs). We provide a unified perspective on the inherent…

Machine Learning · Computer Science 2024-06-07 Sahil Sidheekh , Sriraam Natarajan

Inspired by biology, spiking neural networks (SNNs) process information via discrete spikes over time, offering an energy-efficient alternative to the classical computing paradigm and classical artificial neural networks (ANNs). In this…

Neural and Evolutionary Computing · Computer Science 2025-12-19 Shayan Hundrieser , Philipp Tuchel , Insung Kong , Johannes Schmidt-Hieber

Incorporating constraints is a major concern in probabilistic machine learning. A wide variety of problems require predictions to be integrated with reasoning about constraints, from modelling routes on maps to approving loan predictions.…

Machine Learning · Computer Science 2020-01-31 Ioannis Papantonis , Vaishak Belle

Probabilistic models learned as density estimators can be exploited in representation learning beside being toolboxes used to answer inference queries only. However, how to extract useful representations highly depends on the particular…

Machine Learning · Computer Science 2016-08-12 Antonio Vergari , Nicola Di Mauro , Floriana Esposito

Spiking neural networks (SNNs) have ultra-low energy consumption and high biological plausibility due to their binary and bio-driven nature compared with artificial neural networks (ANNs). While previous research has primarily focused on…

Neural and Evolutionary Computing · Computer Science 2023-12-06 Jiahang Cao , Ziqing Wang , Hanzhong Guo , Hao Cheng , Qiang Zhang , Renjing Xu

Sum-product networks (SPNs) are flexible density estimators and have received significant attention due to their attractive inference properties. While parameter learning in SPNs is well developed, structure learning leaves something to be…

Machine Learning · Computer Science 2019-11-05 Martin Trapp , Robert Peharz , Hong Ge , Franz Pernkopf , Zoubin Ghahramani

Spiking neural networks (SNNs) have low power consumption and bio-interpretable characteristics, and are considered to have tremendous potential for energy-efficient computing. However, the exploration of SNNs on image generation tasks…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Shu Yang , Hanzhi Ma , Chengting Yu , Aili Wang , Er-Ping Li

We introduce a novel training principle for probabilistic models that is an alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSN) framework is based on learning the transition operator of a Markov chain whose…

Machine Learning · Computer Science 2015-03-29 Guillaume Alain , Yoshua Bengio , Li Yao , Jason Yosinski , Eric Thibodeau-Laufer , Saizheng Zhang , Pascal Vincent