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In this work, we propose Sum-Product-Transform Networks (SPTN), an extension of sum-product networks that uses invertible transformations as additional internal nodes. The type and placement of transformations determine properties of the…

Machine Learning · Statistics 2020-05-05 Tomas Pevny , Vasek Smidl , Martin Trapp , Ondrej Polacek , Tomas Oberhuber

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) 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

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…

Investment planning in power utilities, such as generation and transmission expansion, requires decisions under substantial uncertainty over decade--long horizons for policies, demand, renewable availability, and outages, while maintaining…

Machine Learning · Computer Science 2026-03-17 Nicolas M. Cuadrado A. , Mohannad Takrouri , Jiří Němeček , Martin Takáč , Jakub Mareček

In recent years, there has been an increasing interest in studying causality-related properties in machine learning models generally, and in generative models in particular. While that is well motivated, it inherits the fundamental…

Artificial Intelligence · Computer Science 2020-01-30 Ioannis Papantonis , Vaishak Belle

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

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

Probabilistic circuits (PCs) have become the de-facto standard for learning and inference in probabilistic modeling. We introduce Sum-Product-Attention Networks (SPAN), a new generative model that integrates probabilistic circuits with…

Machine Learning · Computer Science 2021-09-15 Zhongjie Yu , Devendra Singh Dhami , Kristian Kersting

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.…

Artificial Intelligence · Computer Science 2020-11-23 Ziniu Wu , Rong Zhu , Andreas Pfadler , Yuxing Han , Jiangneng Li , Zhengping Qian , Kai Zeng , Jingren Zhou

Diffusion models have demonstrated exceptional generative capabilities but are computationally intensive, posing significant challenges for deployment in resource-constrained or latency-sensitive environments. Quantization offers an…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Jiaji Zhang , Ruichao Sun , Hailiang Zhao , Jiaju Wu , Peng Chen , Hao Li , Yuying Liu , Kingsum Chow , Gang Xiong , Shuiguang Deng

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

Quantum neural networks combine quantum computing with advanced data-driven methods, offering promising applications in quantum machine learning. However, the optimal paradigm for balancing trainability and expressivity in QNNs remains an…

Quantum Physics · Physics 2025-08-05 Hongshun Yao , Xia Liu , Mingrui Jing , Guangxi Li , Xin 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

Brain-inspired Spiking Neural Networks (SNNs) leverage sparse spikes to encode information and operate in an asynchronous event-driven manner, offering a highly energy-efficient paradigm for machine intelligence. However, the current SNN…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Wenjie Wei , Malu Zhang , Zijian Zhou , Ammar Belatreche , Yimeng Shan , Yu Liang , Honglin Cao , Jieyuan Zhang , Yang Yang

We consider a formulation of supervised learning that endows models with robustness to distributional shifts from training to testing. The formulation hinges upon the superquantile risk measure, also known as the conditional value-at-risk,…

Optimization and Control · Mathematics 2022-01-04 Yassine Laguel , Jérôme Malick , Zaid Harchaoui

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…

Machine Learning · Computer Science 2020-02-27 Ishaq Aden-Ali , Hassan Ashtiani

Concept-based machine learning methods have increasingly gained importance due to the growing interest in making neural networks interpretable. However, concept annotations are generally challenging to obtain, making it crucial to leverage…

Machine Learning · Computer Science 2024-11-06 Alba Carballo-Castro , Sonia Laguna , Moritz Vandenhirtz , Julia E. Vogt

Sum-product networks have recently emerged as an attractive representation due to their dual view as a special type of deep neural network with clear semantics and a special type of probabilistic graphical model for which inference is…

Machine Learning · Statistics 2017-01-20 Wilson Hsu , Agastya Kalra , Pascal Poupart

We introduce the Pointer Q-Network (PQN), a hybrid neural architecture that integrates model-free Q-value policy approximation with Pointer Networks (Ptr-Nets) to enhance the optimality of attention-based sequence generation, focusing on…

Machine Learning · Computer Science 2024-10-25 Alessandro Barro