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Conventional diffusion models typically relies on a fixed forward process, which implicitly defines complex marginal distributions over latent variables. This can often complicate the reverse process' task in learning generative…

Machine Learning · Statistics 2025-06-10 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

In this paper, we introduce a convolutional architecture to perform learning when information is supported on multigraphs. Exploiting algebraic signal processing (ASP), we propose a convolutional signal processing model on multigraphs…

Signal Processing · Electrical Eng. & Systems 2022-10-31 Landon Butler , Alejandro Parada-Mayorga , Alejandro Ribeiro

Parametric message passing (MP) is a promising technique that provides reliable marginal probability distributions for distributed cooperative positioning (DCP) based on factor graphs (FG), while maintaining minimal computational…

Signal Processing · Electrical Eng. & Systems 2025-05-20 Yue Cao , Shaoshi Yang , Zhiyong Feng

The max-product algorithm, a local message-passing scheme that attempts to compute the most probable assignment (MAP) of a given probability distribution, has been successfully employed as a method of approximate inference for applications…

Information Theory · Computer Science 2014-01-07 Nicholas Ruozzi , Sekhar Tatikonda

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

Graph neural network models have been extensively used to learn node representations for graph structured data in an end-to-end setting. These models often rely on localized first order approximations of spectral graph convolutions and…

Machine Learning · Computer Science 2020-10-20 Mohammed Haroon Dupty , Wee Sun Lee

Neural message passing is a basic feature extraction unit for graph-structured data considering neighboring node features in network propagation from one layer to the next. We model such process by an interacting particle system with…

Machine Learning · Computer Science 2025-07-24 Yuelin Wang , Kai Yi , Xinliang Liu , Yu Guang Wang , Shi Jin

Communicating and sharing intelligence among agents is an important facet of achieving Artificial General Intelligence. As a first step towards this challenge, we introduce a novel framework for image generation: Message Passing Multi-Agent…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Arnab Ghosh , Viveka Kulharia , Vinay Namboodiri

The paper presents a solution to the problem of universal representation of graphs exemplifying communication network topologies with the help of neural networks. The proposed approach is based on message-passing neural networks (MPNN). The…

Networking and Internet Architecture · Computer Science 2019-04-15 Krzysztof Rusek , Piotr Chołda

Graph neural networks have recently emerged as a very effective framework for processing graph-structured data. These models have achieved state-of-the-art performance in many tasks. Most graph neural networks can be described in terms of…

Computation and Language · Computer Science 2019-11-25 Giannis Nikolentzos , Antoine J. -P. Tixier , Michalis Vazirgiannis

Many real-world phenomena can be modeled as a graph, making them extremely valuable due to their ubiquitous presence. GNNs excel at capturing those relationships and patterns within these graphs, enabling effective learning and prediction…

Machine Learning · Computer Science 2023-11-28 Abhinav Raghuvanshi , Kushal Sokke Malleshappa

In this paper, we strive to develop an interpretable GNNs' inference paradigm, termed MSInterpreter, which can serve as a plug-and-play scheme readily applicable to various GNNs' baselines. Unlike the most existing explanation methods,…

Machine Learning · Computer Science 2023-06-09 Wenda Li , Kaixuan Chen , Shunyu Liu , Wenjie Huang , Haofei Zhang , Yingjie Tian , Yun Su , Mingli Song

Learning representations for structured data with certain geometries (e.g., observed or unobserved) is a fundamental challenge, wherein message passing neural networks (MPNNs) have become a de facto class of model solutions. In this paper,…

Machine Learning · Computer Science 2025-07-02 Qitian Wu , David Wipf , Junchi Yan

We present a new family of exchangeable stochastic processes, the Functional Neural Processes (FNPs). FNPs model distributions over functions by learning a graph of dependencies on top of latent representations of the points in the given…

Machine Learning · Computer Science 2019-11-05 Christos Louizos , Xiahan Shi , Klamer Schutte , Max Welling

Deep generative priors are a powerful tool for reconstruction problems with complex data such as images and text. Inverse problems using such models require solving an inference problem of estimating the input and hidden units of the…

Information Theory · Computer Science 2019-03-05 Parthe Pandit , Mojtaba Sahraee , Sundeep Rangan , Alyson K. Fletcher

We propose Factorization Memory, an efficient recurrent neural network (RNN) architecture that achieves performance comparable to Transformer models on short-context language modeling tasks while also demonstrating superior generalization…

Computation and Language · Computer Science 2025-11-04 Lee Xiong , Maksim Tkachenko , Johanes Effendi , Ting Cai

Message-passing has proved to be an effective way to design graph neural networks, as it is able to leverage both permutation equivariance and an inductive bias towards learning local structures in order to achieve good generalization.…

Machine Learning · Computer Science 2020-10-26 Clement Vignac , Andreas Loukas , Pascal Frossard

Graph neural networks (GNNs) have achieved champion in wide applications. Neural message passing is a typical key module for feature propagation by aggregating neighboring features. In this work, we propose a new message passing based on…

Machine Learning · Computer Science 2023-03-01 Xinliang Liu , Bingxin Zhou , Chutian Zhang , Yu Guang Wang

The dominant paradigm for learning on graph-structured data is message passing. Despite being a strong inductive bias, the local message passing mechanism suffers from pathological issues such as over-smoothing, over-squashing, and limited…

Machine Learning · Computer Science 2025-04-15 Jacob Bamberger , Federico Barbero , Xiaowen Dong , Michael M. Bronstein

Learning general latent-variable probabilistic graphical models is a key theoretical challenge in machine learning and artificial intelligence. All previous methods, including the EM algorithm and the spectral algorithms, face severe…

Machine Learning · Computer Science 2019-12-02 Borui Wang , Geoffrey Gordon
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