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We introduce a new copula-based correction for generalized linear mixed models (GLMMs) within the integrated nested Laplace approximation (INLA) approach for approximate Bayesian inference for latent Gaussian models. While INLA is usually…

统计计算 · 统计学 2015-12-16 Egil Ferkingstad , Håvard Rue

In this paper, we propose a novel graph-based approach for semi-supervised learning problems, which considers an adaptive adjacency of the examples throughout the unsupervised portion of the training. Adjacency of the examples is inferred…

机器学习 · 计算机科学 2020-08-06 Ozsel Kilinc , Ismail Uysal

Graph-based and sequential methods are two popular recommendation paradigms, each excelling in its domain but lacking the ability to leverage signals from the other. To address this, we propose a novel method that integrates both approaches…

信息检索 · 计算机科学 2025-01-30 Yuwei Cao , Liangwei Yang , Zhiwei Liu , Yuqing Liu , Chen Wang , Yueqing Liang , Hao Peng , Philip S. Yu

Recently, graph prompt learning has garnered increasing attention in adapting pre-trained GNN models for downstream graph learning tasks. However, existing works generally conduct prompting over all graph elements (e.g., nodes, edges, node…

机器学习 · 计算机科学 2024-10-30 Bo Jiang , Hao Wu , Beibei Wang , Jin Tang , Bin Luo

Graph is a flexible and effective tool to represent complex structures in practice and graph neural networks (GNNs) have been shown to be effective on various graph tasks with randomly separated training and testing data. In real…

机器学习 · 计算机科学 2021-10-11 Shengyu Zhang , Kun Kuang , Jiezhong Qiu , Jin Yu , Zhou Zhao , Hongxia Yang , Zhongfei Zhang , Fei Wu

In this paper, we study Bayesian approach for solving large scale linear inverse problems arising in various scientific and engineering fields. We propose a fused $L_{1/2}$ prior with edge-preserving and sparsity-promoting properties and…

统计计算 · 统计学 2025-12-17 Xiongwen Ke , Yanan Fan , Qingping Zhou

Balanced Singular Perturbation Approximation (SPA) is a model order reduction method for linear time-invariant systems that guarantees asymptotic stability and for which there exists an a priori error bound. In that respect, it is similar…

数值分析 · 数学 2023-03-10 Björn Liljegren-Sailer , Ion Victor Gosea

Consider the family of graphs without $ k $ node-disjoint odd cycles, where $ k $ is a constant. Determining the complexity of the stable set problem for such graphs $ G $ is a long-standing problem. We give a polynomial-time algorithm for…

离散数学 · 计算机科学 2019-08-20 Michele Conforti , Samuel Fiorin , Tony Huynh , Gwenaël Joret , Stefan Weltge

Many real-world networks of interest are embedded in physical space. We present a new random graph model aiming to reflect the interplay between the geometries of the graph and of the underlying space. The model favors configurations with…

概率论 · 数学 2017-06-14 Jean-Christophe Mourrat , Daniel Valesin

In this paper, we provide a few new properties of Active Flux (AF)/Point-Average-Moment PolynomiAl-interpreted (\pampa) schemes. First, we show, in full generality, that the AF/pampa schemes can be interpreted in such a way that the…

数值分析 · 数学 2026-05-05 Rémi Abgrall , Philipp Öffner , Yongle Liu

Link prediction on dynamic graphs is an important task in graph mining. Existing approaches based on dynamic graph neural networks (DGNNs) typically require a significant amount of historical data (interactions over time), which is not…

机器学习 · 计算机科学 2022-11-17 Linhao Luo , Reza Haffari , Shirui Pan

We consider the soft-core Widom-Rowlinson model for particles with spins and holes, on a Cayley tree of order $d$ (which has $d + 1$ nearest neighbours), depending on repulsion strength $\beta$ between particles of different signs and on an…

概率论 · 数学 2023-02-14 Sebastian Bergmann , Sascha Kissel , Christof Kuelske

Self-supervised learning of graph neural networks (GNNs) aims to learn an accurate representation of the graphs in an unsupervised manner, to obtain transferable representations of them for diverse downstream tasks. Predictive learning and…

机器学习 · 计算机科学 2022-10-11 Dongki Kim , Jinheon Baek , Sung Ju Hwang

Graph machine learning (GML) has made great progress in node classification, link prediction, graph classification and so on. However, graphs in reality are often structurally imbalanced, that is, only a few hub nodes have a denser local…

机器学习 · 计算机科学 2023-03-27 Zulong Liu , Kejia-Chen , Zheng Liu

Graph embedding has become an increasingly important technique for analyzing graph-structured data. By representing nodes in a graph as vectors in a low-dimensional space, graph embedding enables efficient graph processing and analysis…

机器学习 · 计算机科学 2023-09-13 Hamidreza Lotfalizadeh , Mohammad Al Hasan

Recently, the paradigm of pre-training and fine-tuning graph neural networks has been intensively studied and applied in a wide range of graph mining tasks. Its success is generally attributed to the structural consistency between…

机器学习 · 计算机科学 2023-12-22 Yifei Sun , Qi Zhu , Yang Yang , Chunping Wang , Tianyu Fan , Jiajun Zhu , Lei Chen

Graph matching finds the correspondence of nodes across two correlated graphs and lies at the core of many applications. When graph side information is not available, the node correspondence is estimated on the sole basis of network…

机器学习 · 计算机科学 2022-02-08 Weijie Liu , Chao Zhang , Nenggan Zheng , Hui Qian

We study Newton type methods for inverse problems described by nonlinear operator equations $F(u)=g$ in Banach spaces where the Newton equations $F'(u_n;u_{n+1}-u_n) = g-F(u_n)$ are regularized variationally using a general data misfit…

数值分析 · 数学 2015-04-01 Thorsten Hohage , Frank Werner

Generalized Nested Rollout Policy Adaptation (GNRPA) is a Monte Carlo search algorithm for optimizing a sequence of choices. We propose to improve on GNRPA by avoiding too deterministic policies that find again and again the same sequence…

人工智能 · 计算机科学 2024-01-22 Tristan Cazenave

We propose a new algorithm for minimizing regularized empirical loss: Stochastic Dual Newton Ascent (SDNA). Our method is dual in nature: in each iteration we update a random subset of the dual variables. However, unlike existing methods…

机器学习 · 计算机科学 2015-02-10 Zheng Qu , Peter Richtárik , Martin Takáč , Olivier Fercoq