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This paper studies how to capture dependency graph structures from real data which may not be Gaussian. Starting from marginal loss functions not necessarily derived from probability distributions, we utilize an additive…

Machine Learning · Statistics 2019-12-03 Yiyuan She , Shao Tang , Qiaoya Zhang

Graphs are widely used for describing systems made up of many interacting components and for understanding the structure of their interactions. Various statistical models exist, which describe this structure as the result of a combination…

Methodology · Statistics 2021-06-28 Louis Duvivier , Rémy Cazabet , Céline Robardet

Graph learning from data represents a canonical problem that has received substantial attention in the literature. However, insufficient work has been done in incorporating prior structural knowledge onto the learning of underlying…

Machine Learning · Statistics 2019-04-23 Sandeep Kumar , Jiaxi Ying , José Vinícius de M. Cardoso , Daniel Palomar

Trustworthy decision making in networked, dynamic environments calls for innovative uncertainty quantification substrates in predictive models for graph time series. Existing conformal prediction (CP) methods have been applied separately to…

Machine Learning · Computer Science 2025-10-14 Sonakshi Dua , Gonzalo Mateos , Sundeep Prabhakar Chepuri

Graph is an important data representation ubiquitously existing in the real world. However, analyzing the graph data is computationally difficult due to its non-Euclidean nature. Graph embedding is a powerful tool to solve the graph…

Cryptography and Security · Computer Science 2021-10-07 Zhikun Zhang , Min Chen , Michael Backes , Yun Shen , Yang Zhang

Unlike conventional "black-box" transformers with classical self-attention mechanism, we build a lightweight and interpretable transformer-like neural net by unrolling a mixed-graph-based optimization algorithm to forecast traffic with…

Machine Learning · Computer Science 2026-02-04 Ji Qi , Tam Thuc Do , Mingxiao Liu , Zhuoshi Pan , Yuzhe Li , Gene Cheung , H. Vicky Zhao

Learning the dependence structure among variables in complex systems is a central problem across medical, natural, and social sciences. These structures can be naturally represented by graphs, and the task of inferring such graphs from data…

Methodology · Statistics 2026-04-02 Lucas Kook , Søren Wengel Mogensen

Node embedding is the task of extracting informative and descriptive features over the nodes of a graph. The importance of node embeddings for graph analytics, as well as learning tasks such as node classification, link prediction and…

Machine Learning · Computer Science 2019-06-17 Dimitris Berberidis , Georgios B. Giannakis

Graph signal processing deals with algorithms and signal representations that leverage graph structures for multivariate data analysis. Often said graph topology is not readily available and may be time-varying, hence (dynamic) graph…

Signal Processing · Electrical Eng. & Systems 2024-09-20 Hector Chahuara , Gonzalo Mateos

This work presents a novel resolution-invariant model order reduction strategy for multifidelity applications. We base our architecture on a novel neural network layer developed in this work, the graph feedforward network, which extends the…

Numerical Analysis · Mathematics 2024-06-07 Oisín M. Morrison , Federico Pichi , Jan S. Hesthaven

The adaptive processing of structured data is a long-standing research topic in machine learning that investigates how to automatically learn a mapping from a structured input to outputs of various nature. Recently, there has been an…

Machine Learning · Computer Science 2022-02-28 Federico Errica

In this paper, we present a probabilistic analysis of iterative node-based verification-based (NB-VB) recovery algorithms over irregular graphs in the context of compressed sensing. Verification-based algorithms are particularly interesting…

Information Theory · Computer Science 2012-04-24 Yaser Eftekhari , Amir H. Banihashemi , Ioannis Lambadaris

Graph matching is one of the most significant graph analytic tasks, which aims to find the node correspondence across different graphs. Most existing graph matching approaches mainly rely on topological information, whose performances are…

Artificial Intelligence · Computer Science 2024-10-15 Haoran Cheng , Dixin Luo , Hongteng Xu

Anomaly detection on multivariate time-series is of great importance in both data mining research and industrial applications. Recent approaches have achieved significant progress in this topic, but there is remaining limitations. One major…

Machine Learning · Computer Science 2020-09-07 Hang Zhao , Yujing Wang , Juanyong Duan , Congrui Huang , Defu Cao , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

Coordinating multiple interacting agents to achieve a common goal is a difficult task with huge applicability. This problem remains hard to solve, even when limiting interactions to be mediated via a static interaction-graph. We present a…

Machine Learning · Computer Science 2020-07-01 Dominik Linzner , Heinz Koeppl

Characterizing motif (i.e., locally connected subgraph patterns) statistics is important for understanding complex networks such as online social networks and communication networks. Previous work made the strong assumption that the graph…

Social and Information Networks · Computer Science 2015-02-25 Pinghui Wang , John C. S. Lui , Don Towsley

Unsupervised graph anomaly detection aims at identifying rare patterns that deviate from the majority in a graph without the aid of labels, which is important for a variety of real-world applications. Recent advances have utilized Graph…

Machine Learning · Computer Science 2025-05-27 Yuanchen Bei , Sheng Zhou , Jinke Shi , Yao Ma , Haishuai Wang , Jiajun Bu

Financial market forecasting is inherently uncertain, yet most deep learning approaches rely on point predictions that provide only single-value estimates without quantifying uncertainty. Such predictions are insufficient for risk-aware…

The edit distance between two graphs is a widely used measure of similarity that evaluates the smallest number of vertex and edge deletions/insertions required to transform one graph to another. It is NP-hard to compute in general, and a…

Data Structures and Algorithms · Computer Science 2019-04-22 Utkan Onur Candogan , Venkat Chandrasekaran

Graph Neural Networks (GNNs) have emerged as powerful tools for predicting outcomes in graph-structured data. However, a notable limitation of GNNs is their inability to provide robust uncertainty estimates, which undermines their…

Machine Learning · Computer Science 2024-10-10 S. Akansha