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This paper deals with the state estimation of stochastic systems and examines the possible employment of tensor decompositions in grid-based filtering routines, in particular, the tensor-train decomposition. The aim is to show that these…

Signal Processing · Electrical Eng. & Systems 2025-01-20 J. Matoušek , M. Brandner , J. Duník , I. Punčochář

Graph foundation models (GFM) aim to acquire transferable knowledge by pre-training on diverse graphs, which can be adapted to various downstream tasks. However, domain shift in graphs is inherently two-dimensional: graphs differ not only…

Computation and Language · Computer Science 2026-03-12 Xingtong Yu , Shenghua Ye , Ruijuan Liang , Chang Zhou , Hong Cheng , Xinming Zhang , Yuan Fang

Graph-based Neural Networks (GNNs) are recent models created for learning representations of nodes (and graphs), which have achieved promising results when detecting patterns that occur in large-scale data relating different entities. Among…

Machine Learning · Computer Science 2021-08-20 Ronald D. R. Pereira , Fabrício Murai

This paper studies a tensor-structured linear regression model with a scalar response variable and tensor-structured predictors, such that the regression parameters form a tensor of order $d$ (i.e., a $d$-fold multiway array) in…

Machine Learning · Computer Science 2020-11-26 Talal Ahmed , Haroon Raja , Waheed U. Bajwa

Relational databases, organized into tables connected by primary-foreign key relationships, are a common format for organizing data. Making predictions on relational data often involves transforming them into a flat tabular format through…

Databases · Computer Science 2025-04-08 Veronica Lachi , Antonio Longa , Beatrice Bevilacqua , Bruno Lepri , Andrea Passerini , Bruno Ribeiro

Graph convolutional networks (GCNs) have been attracting widespread attentions due to their encouraging performance and powerful generalizations. However, few work provide a general view to interpret various GCNs and guide GCNs' designs. In…

Machine Learning · Computer Science 2023-07-04 Shiping Wang , Zhihao Wu , Yuhong Chen , Yong Chen

Building on our prior explorations of convolutional neural networks (CNNs) for financial data processing, this paper introduces two significant enhancements to refine our CNN model's predictive performance and robustness for financial…

Computational Finance · Quantitative Finance 2024-08-23 Sina Montazeri , Haseebullah Jumakhan , Sonia Abrasiabian , Amir Mirzaeinia

Graph neural networks (GNNs) have become a powerful tool for processing graph-structured data but still face challenges in effectively aggregating and propagating information between layers, which limits their performance. We tackle this…

Machine Learning · Computer Science 2023-02-09 Maxim Fishman , Chaim Baskin , Evgenii Zheltonozhskii , Almog David , Ron Banner , Avi Mendelson

High-dimensional time series has diverse applications in econometrics and finance. Recent models for capturing temporal dependence have employed a bilinear representation for matrix time series, or the Tucker-decomposition based…

Methodology · Statistics 2025-06-03 Debika Ghosh , Samrat Roy , Nilanjana Chakraborty

Financial transaction fraud prevention faces challenges such as complex relationship structures, concealed behavioral patterns, and dynamically changing data distribution. Discrimination models relying solely on independent sample features…

Machine Learning · Computer Science 2026-05-14 Yunfei Nie , Jiawei Wang , Ruobing Yan , Yuhan Wang , Zouxiaowei Ma , Yilun Wu

Knowledge graph completion (KGC) can be framed as a 3-order binary tensor completion task. Tensor decomposition-based (TDB) models have demonstrated strong performance in KGC. In this paper, we provide a summary of existing TDB models and…

Machine Learning · Computer Science 2025-06-04 Changyi Xiao , Yixin Cao

Identifying the mathematical relationships that best describe a dataset remains a very challenging problem in machine learning, and is known as Symbolic Regression (SR). In contrast to neural networks which are often treated as black boxes,…

Machine Learning · Computer Science 2023-01-10 Tony Tohme , Dehong Liu , Kamal Youcef-Toumi

Graphical Gaussian models are popular tools for the estimation of (undirected) gene association networks from microarray data. A key issue when the number of variables greatly exceeds the number of samples is the estimation of the matrix of…

Methodology · Statistics 2010-08-13 Nicole Kraemer , Juliane Schaefer , Anne-Laure Boulesteix

Dynamic graphs are widely used to represent evolving real-world networks. Temporal Graph Neural Networks (TGNNs) have emerged as a powerful tool for processing such graphs, but the lack of transparency and explainability limits their…

Machine Learning · Computer Science 2025-12-30 Xuyan Li , Jie Wang , Zheng Yan

Graphs are a powerful data structure to represent relational data and are widely used to describe complex real-world data structures. Probabilistic Graphical Models (PGMs) have been well-developed in the past years to mathematically model…

Artificial Intelligence · Computer Science 2023-01-31 Chenqing Hua , Sitao Luan , Qian Zhang , Jie Fu

This paper studies high-dimensional regression with two-way structured data. To estimate the high-dimensional coefficient vector, we propose the generalized matrix decomposition regression (GMDR) to efficiently leverage any auxiliary…

Methodology · Statistics 2023-02-17 Yue Wang , Ali Shojaie , Timothy W. Randolph , Parker Knight , Jing Ma

Graph foundation models represent a transformative paradigm for learning transferable representations across diverse graph domains. Recent methods leverage large language models to unify graph and text modalities into a shared…

Machine Learning · Computer Science 2025-12-23 Heng Zhang , Tianyi Zhang , Yuling Shi , Xiaodong Gu , Yaomin Shen , Haochen You , Zijian Zhang , Yilei Yuan , Jin Huang

Graph structured data, specifically text-attributed graphs (TAG), effectively represent relationships among varied entities. Such graphs are essential for semi-supervised node classification tasks. Graph Neural Networks (GNNs) have emerged…

Machine Learning · Computer Science 2024-04-18 Kaiwen Dong , Zhichun Guo , Nitesh V. Chawla

With the increasing demands of training graph neural networks (GNNs) on large-scale graphs, graph data condensation has emerged as a critical technique to relieve the storage and time costs during the training phase. It aims to condense the…

Machine Learning · Computer Science 2024-06-10 Zhanyu Liu , Chaolv Zeng , Guanjie Zheng

Graph Neural Networks (GNN) have recently gained popularity in the forecasting domain due to their ability to model complex spatial and temporal patterns in tasks such as traffic forecasting and region-based demand forecasting. Most of…

Machine Learning · Computer Science 2023-12-08 Abishek Sriramulu , Nicolas Fourrier , Christoph Bergmeir
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