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A fundamental computation for statistical inference and accurate decision-making is to compute the marginal probabilities or most probable states of task-relevant variables. Probabilistic graphical models can efficiently represent the…

Machine Learning · Computer Science 2019-06-28 KiJung Yoon , Renjie Liao , Yuwen Xiong , Lisa Zhang , Ethan Fetaya , Raquel Urtasun , Richard Zemel , Xaq Pitkow

Message-passing based approaches form the default backbone of most learning architectures on graph-structured data. However, the rapid progress of modern deep learning architectures in other domains, particularly sequence modeling, raises…

Machine Learning · Computer Science 2026-05-13 Joël Mathys , Basil Rohner , Saku Peltonen , Roger Wattenhofer

Graph neural networks (GNNs) are a powerful inductive bias for modelling algorithmic reasoning procedures and data structures. Their prowess was mainly demonstrated on tasks featuring Markovian dynamics, where querying any associated data…

Machine Learning · Computer Science 2021-04-28 Heiko Strathmann , Mohammadamin Barekatain , Charles Blundell , Petar Veličković

Motivation: In the last few years a growing interest in biology has been shifting towards the problem of optimal information extraction from the huge amount of data generated via large scale and high-throughput techniques. One of the most…

Quantitative Methods · Quantitative Biology 2007-05-23 M. Leone , A. Pagnani

We introduce a new type of graphical model that we call a "memory factor network" (MFN). We show how to use MFNs to model the structure inherent in many types of data sets. We also introduce an associated message-passing style algorithm…

Artificial Intelligence · Computer Science 2016-01-19 Patrick Eschenfeldt , Dan Schmidt , Stark Draper , Jonathan Yedidia

Graph Neural Networks (GNNs) have achieved notable success in the analysis of non-Euclidean data across a wide range of domains. However, their applicability is constrained by the dependence on the observed graph structure. To solve this…

Machine Learning · Computer Science 2024-09-19 Ziyan Wang , Yaxuan He , Bin Liu

When studying interacting systems, computing their statistical properties is a fundamental problem in various fields such as physics, applied mathematics, and machine learning. However, this task can be quite challenging due to the…

Statistical Mechanics · Physics 2023-05-04 Yijia Wang , Yuwen Ebony Zhang , Feng Pan , Pan Zhang

Hypergraph representations are both more efficient and better suited to describe data characterized by relations between two or more objects. In this work, we present a new graph neural network based on message passing capable of processing…

Machine Learning · Computer Science 2022-09-19 Sajjad Heydari , Lorenzo Livi

Probabilistic graphical models are widely used to model complex systems under uncertainty. Traditionally, Gaussian directed graphical models are applied for analysis of large networks with continuous variables as they can provide…

Methodology · Statistics 2024-05-27 Victoria Volodina , Nikki Sonenberg , Peter Challenor , Jim Q. Smith

Probabilistic inference problems arise naturally in distributed systems such as sensor networks and teams of mobile robots. Inference algorithms that use message passing are a natural fit for distributed systems, but they must be robust to…

Artificial Intelligence · Computer Science 2012-07-19 Mark Paskin , Carlos E. Guestrin

Message passing on factor graphs is a powerful framework for probabilistic inference, which finds important applications in various scientific domains. The most wide-spread message passing scheme is the sum-product algorithm (SPA) which…

Machine Learning · Computer Science 2023-06-06 Luca Schmid , Joshua Brenk , Laurent Schmalen

Graph signal processing is a framework to handle graph structured data. The fundamental concept is graph shift operator, giving rise to the graph Fourier transform. While the graph Fourier transform is a centralized procedure, distributed…

Signal Processing · Electrical Eng. & Systems 2022-06-10 Feng Ji , Yiqi Lu , Wee Peng Tay , Edwin Chong

Many complex processes can be viewed as dynamical systems of interacting agents. In many cases, only the state sequences of individual agents are observed, while the interacting relations and the dynamical rules are unknown. The neural…

Machine Learning · Computer Science 2021-01-26 Siyuan Chen , Jiahai Wang , Guoqing Li

Semantic communication emphasizes the transmission of meaning rather than raw symbols. It offers a promising solution to alleviate network congestion and improve transmission efficiency. In this paper, we propose a wireless image…

Signal Processing · Electrical Eng. & Systems 2025-07-17 Chen Zhu , Siyun Liang , Zhouxiang Zhao , Jianrong Bao , Zhaohui Yang , Zhaoyang Zhang , Dusit Niyato

Graph neural networks can be effectively applied to find solutions for many real-world problems across widely diverse fields. The success of graph neural networks is linked to the message-passing mechanism on the graph, however, the…

Machine Learning · Computer Science 2022-01-06 Yan Pang , Chao Liu

Graph neural networks are popular architectures for graph machine learning, based on iterative computation of node representations of an input graph through a series of invariant transformations. A large class of graph neural networks…

Machine Learning · Computer Science 2024-06-11 Ben Finkelshtein , Xingyue Huang , Michael Bronstein , İsmail İlkan Ceylan

The mechanism of message passing in graph neural networks (GNNs) is still mysterious. Apart from convolutional neural networks, no theoretical origin for GNNs has been proposed. To our surprise, message passing can be best understood in…

Machine Learning · Computer Science 2021-04-16 Xue Li , Yuanzhi Cheng

Social networks represent a common form of interconnected data frequently depicted as graphs within the domain of deep learning-based inference. These communities inherently form dynamic systems, achieving stability through continuous…

Social and Information Networks · Computer Science 2023-10-04 Outongyi Lv , Bingxin Zhou , Jing Wang , Xiang Xiao , Weishu Zhao , Lirong Zheng

In this paper we describe the linguistic processor of a spoken dialogue system. The parser receives a word graph from the recognition module as its input. Its task is to find the best path through the graph. If no complete solution can be…

cmp-lg · Computer Science 2008-02-03 Gerhard Hanrieder , Guenther Goerz

Message-passing graph neural networks (MPNNs) emerged as powerful tools for processing graph-structured input. However, they operate on a fixed input graph structure, ignoring potential noise and missing information. Furthermore, their…

Machine Learning · Computer Science 2024-03-27 Chendi Qian , Andrei Manolache , Kareem Ahmed , Zhe Zeng , Guy Van den Broeck , Mathias Niepert , Christopher Morris
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