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[...] In this thesis, we are interested in generalizing factor graphs and the relevant methods toward describing quantum systems. Two generalizations of classical graphical models are investigated, namely double-edge factor graphs (DeFGs)…

Information Theory · Computer Science 2022-07-21 Michael X. Cao

Distributed estimation and processing in networks modeled by graphs have received a great deal of interest recently, due to the benefits of decentralised processing in terms of performance and robustness to communications link failure…

Multiagent Systems · Computer Science 2016-11-29 C. T. Healy , R. C. de Lamare

This paper presents a novel distributed approach for solving AC power flow (PF) problems. The optimization problem is reformulated into a distributed form using a communication structure corresponding to a hypergraph, by which complex…

Optimization and Control · Mathematics 2024-07-03 Xinliang Dai , Yingzhao Lian , Yuning Jiang , Colin N. Jones , Veit Hagenmeyer

Theoretical development and applications of graph signal processing (GSP) have attracted much attention. In classical GSP, the underlying structures are restricted in terms of dimensionality. A graph is a combinatorial object that models…

Signal Processing · Electrical Eng. & Systems 2020-05-26 Feng Ji , Giacomo Kahn , Wee Peng Tay

Efficiently finding subgraph embeddings in large graphs is crucial for many application areas like biology and social network analysis. Set intersections are the predominant and most challenging aspect of current join-based subgraph query…

Databases · Computer Science 2024-02-28 Jonas Dann , Tobias Götz , Daniel Ritter , Jana Giceva , Holger Fröning

The paper presents structures and techniques aimed towards co-designing scalable asynchronous and decentralized dynamic graph processing for fine-grain memory-driven architectures. It uses asynchronous active messages, in the form of…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-04 Bibrak Qamar Chandio , Maciej Brodowicz , Thomas Sterling

Graph signal processing (GSP) has become an important tool in many areas such as image processing, networking learning and analysis of social network data. In this paper, we propose a broader framework that not only encompasses traditional…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Feng Ji , Wee Peng Tay

A graphical model is a structured representation of locally dependent random variables. A traditional method to reason over these random variables is to perform inference using belief propagation. When provided with the true data generating…

Machine Learning · Computer Science 2021-03-17 Victor Garcia Satorras , Max Welling

Fuzzy systems (FSs) have enjoyed wide applications in various fields, including pattern recognition, intelligent control, data mining and bioinformatics, which is attributed to the strong interpretation and learning ability. In traditional…

Artificial Intelligence · Computer Science 2023-09-21 Fuping Hu , Zhaohong Deng , Zhenping Xie , Kup-Sze Choi , Shitong Wang

Recent efforts to improve the performance of neural network (NN) accelerators that meet today's application requirements have given rise to a new trend of logic-based NN inference relying on fixed-function combinational logic (FFCL). This…

Hardware Architecture · Computer Science 2023-04-14 Jingkai Hong , Arash Fayyazi , Amirhossein Esmaili , Mahdi Nazemi , Massoud Pedram

The goal of this paper is to establish the fundamental tools to analyze signals defined over a topological space, i.e. a set of points along with a set of neighborhood relations. This setup does not require the definition of a metric and…

Signal Processing · Electrical Eng. & Systems 2020-10-28 Sergio Barbarossa , Stefania Sardellitti

Unions of graph multiplier operators are an important class of linear operators for processing signals defined on graphs. We present a novel method to efficiently distribute the application of these operators. The proposed method features…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-01 David I Shuman , Pierre Vandergheynst , Daniel Kressner , Pascal Frossard

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

Machine Learning · Computer Science 2014-08-12 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

Machine Learning · Statistics 2013-05-27 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Developing high-performance and energy-efficient algorithms for maximum matchings is becoming increasingly important in social network analysis, computational sciences, scheduling, and others. In this work, we propose the first maximum…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-29 Maciej Besta , Marc Fischer , Tal Ben-Nun , Dimitri Stanojevic , Johannes De Fine Licht , Torsten Hoefler

Gaussian processes (GPs) are flexible non-parametric models, with a capacity that grows with the available data. However, computational constraints with standard inference procedures have limited exact GPs to problems with fewer than about…

Graph signal processing (GSP) is a prominent framework for analyzing signals on non-Euclidean domains. The graph Fourier transform (GFT) uses the combinatorial graph Laplacian matrix to reveal the spectral decomposition of signals in the…

Machine Learning · Computer Science 2024-06-13 Changhao Shi , Gal Mishne

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

We propose a novel method to optimize the structure of factor graphs for graph-based inference. As an example inference task, we consider symbol detection on linear inter-symbol interference channels. The factor graph framework has the…

Information Theory · Computer Science 2023-06-02 Lukas Rapp , Luca Schmid , Andrej Rode , Laurent Schmalen

Efficient and robust online processing technique of irregularly structured data is crucial in the current era of data abundance. In this paper, we propose a graph/network version of the classical adaptive Sign algorithm for online graph…

Signal Processing · Electrical Eng. & Systems 2022-01-19 Yi Yan , Ercan E. Kuruoglu , Mustafa A. Altinkaya