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Graph embedding algorithms are used to efficiently represent (encode) a graph in a low-dimensional continuous vector space that preserves the most important properties of the graph. One aspect that is often overlooked is whether the graph…

机器学习 · 计算机科学 2020-01-31 Zekarias T. Kefato , Nasrullah Sheikh , Alberto Montresor

The autoregressive moving average (ARMA) model is a classical, and arguably one of the most studied approaches to model time series data. It has compelling theoretical properties and is widely used among practitioners. More recent deep…

机器学习 · 计算机科学 2024-01-12 Philipp Schiele , Christoph Berninger , David Rügamer

Auto-regressive moving-average (ARMA) models are ubiquitous forecasting tools. Parsimony in such models is highly valued for their interpretability and computational tractability, and as such the identification of model orders remains a…

统计方法学 · 统计学 2023-07-27 Yann McLatchie , Asael Alonzo Matamoros , David Kohns , Aki Vehtari

Many dynamic processes such as telecommunication and transport networks can be described through discrete time series of graphs. Modelling the dynamics of such time series enables prediction of graph structure at future time steps, which…

机器学习 · 计算机科学 2026-02-10 Sevvandi Kandanaarachchi , Ziqi Xu , Stefan Westerlund , Conrad Sanderson

Using graphs to model irregular information domains is an effective approach to deal with some of the intricacies of contemporary (network) data. A key aspect is how the data, represented as graph signals, depend on the topology of the…

信号处理 · 电气工程与系统科学 2023-05-02 Fernando J. Iglesias Garcia , Santiago Segarra , Antonio G. Marques

Graph cuts-based algorithms have achieved great success in energy minimization for many computer vision applications. These algorithms provide approximated solutions for multi-label energy functions via move-making approach. This approach…

计算机视觉与模式识别 · 计算机科学 2015-05-14 Wonsik Kim , Kyoung Mu Lee

Data defined over a network have been successfully modelled by means of graph filters. However, although in many scenarios the connectivity of the network is known, e.g., smart grids, social networks, etc., the lack of well-defined…

信号处理 · 电气工程与系统科学 2020-07-08 Alberto Natali , Mario Coutino , Geert Leus

The BFS algorithm is a basic graph data processing algorithm and many other graph data processing algorithms have similar architectural features with BFS algorithm and can be built on the basis of BFS algorithm model. We analyze the…

分布式、并行与集群计算 · 计算机科学 2024-10-30 Chenglong Zhang

We address the problem of defining early warning indicators of critical transition. To this purpose, we fit the relevant time series through a class of linear models, known as Auto-Regressive Moving-Average (ARMA(p,q)) models. We define two…

数据分析、统计与概率 · 物理学 2015-06-18 Davide Faranda , Flavio Maria Emanuele Pons , Bérengère Dubrulle

This paper explores the application diffusion maps as graph shift operators in understanding the underlying geometry of graph signals. The study evaluates the improvements in graph learning when using diffusion map generated filters to the…

机器学习 · 计算机科学 2023-12-25 Todd Hildebrant

In this work, we introduce the novel application of the adaptive mesh refinement (AMR) technique in the global stability analysis of incompressible flows. The design of an accurate mesh for transitional flows is crucial. Indeed, an…

数值分析 · 数学 2026-02-17 Daniele Massaro , Valerio Lupi , Adam Peplinski , Philipp Schlatter

In this paper we focus on subsampling stationary random processes that reside on the vertices of undirected graphs. Second-order stationary graph signals are obtained by filtering white noise and they admit a well-defined power spectrum.…

信息论 · 计算机科学 2018-05-08 Sundeep Prabhakar Chepuri , Geert Leus

Graphs are irregular structures which naturally account for data integrity, however, traditional approaches have been established outside Signal Processing, and largely focus on analyzing the underlying graphs rather than signals on graphs.…

信号处理 · 电气工程与系统科学 2019-05-14 Ljubisa Stankovic , Danilo Mandic , Milos Dakovic , Ilya Kisil , Ervin Sejdic , Anthony G. Constantinides

Multimodal recommender systems improve the performance of canonical recommender systems with no item features by utilizing diverse content types such as text, images, and videos, while alleviating inherent sparsity of user-item interactions…

信息检索 · 计算机科学 2026-03-25 Yu-Seung Roh , Joo-Young Kim , Jin-Duk Park , Won-Yong Shin

Subgraph matching has garnered increasing attention for its diverse real-world applications. Given the dynamic nature of real-world graphs, addressing evolving scenarios without incurring prohibitive overheads has been a focus of research.…

分布式、并行与集群计算 · 计算机科学 2024-01-31 Linshan Qiu , Lu Chen , Hailiang Jie , Xiangyu Ke , Yunjun Gao , Yang Liu , Zetao Zhang

In this manuscript a factor graph approach is employed to investigate the recursive filtering problem for a mixed linear/nonlinear state-space model, i.e. for a model whose state vector can be partitioned in a linear state variable…

统计理论 · 数学 2016-07-29 Giorgio M. Vitetta , Emilio Sirignano , Francesco Montorsi , Matteo Sola

Force-directed approach is one of the most widely used methods in graph drawing research. There are two main problems with the traditional force-directed algorithms. First, there is no mature theory to ensure the convergence of iteration…

计算几何 · 计算机科学 2018-03-12 Yong-Xian Wang , Zheng-Hua Wang

Graph signal processing, like the graph Fourier transform, requires the full graph signal at every vertex of the graph. However, in practice, only signals at a subset of vertices may be available. We propose a subgraph signal processing…

信号处理 · 电气工程与系统科学 2021-02-08 Feng Ji , Wee Peng Tay , Giacomo Kahn

Graph Signal Processing is a promising framework to manipulate brain signals as it allows to encompass the spatial dependencies between the activity in regions of interest in the brain. In this work, we are interested in better…

机器学习 · 计算机科学 2022-03-10 Yassine El Ouahidi , Hugo Tessier , Giulia Lioi , Nicolas Farrugia , Bastien Pasdeloup , Vincent Gripon

Autoregressive (AR) models for image generation typically adopt a two-stage paradigm of vector quantization and raster-scan ``next-token prediction", inspired by its great success in language modeling. However, due to the huge modality gap,…

计算机视觉与模式识别 · 计算机科学 2026-03-19 Hu Yu , Hao Luo , Hangjie Yuan , Yu Rong , Jie Huang , Feng Zhao