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We study the problem of robustly estimating the edge density of Erd\H{o}s-R\'enyi random graphs $G(n, d^\circ/n)$ when an adversary can arbitrarily add or remove edges incident to an $\eta$-fraction of the nodes. We develop the first…

Data Structures and Algorithms · Computer Science 2025-03-07 Hongjie Chen , Jingqiu Ding , Yiding Hua , Stefan Tiegel

Several popular graph embedding techniques for representation learning and dimensionality reduction rely on performing computationally expensive eigendecompositions to derive a nonlinear transformation of the input data space. The resulting…

Machine Learning · Statistics 2016-06-15 Aren Jansen , Gregory Sell , Vince Lyzinski

In matrix factorization, available graph side-information may not be well suited for the matrix completion problem, having edges that disagree with the latent-feature relations learnt from the incomplete data matrix. We show that removing…

Machine Learning · Computer Science 2020-12-18 Jonathan Strahl , Jaakko Peltonen , Hiroshi Mamitsuka , Samuel Kaski

Recently, a new way of avoiding crossings in straight-line drawings of non-planar graphs has been investigated. The idea of partial edge drawings (PED) is to drop the middle part of edges and rely on the remaining edge parts called stubs.…

This paper introduces new methodology to triangulate dynamic Bayesian networks (DBNs) and dynamic graphical models (DGMs). While most methods to triangulate such networks use some form of constrained elimination scheme based on properties…

Artificial Intelligence · Computer Science 2012-12-12 Jeff A. Bilmes , Chris Bartels

The graph-theoretical task of determining most likely inter-community edges based on disconnected subgraphs' intra-community connectivity is proposed. An algorithm is developed for this edge augmentation task, based on elevating the zero…

Social and Information Networks · Computer Science 2022-07-13 Tianyi Li

We propose an evolution strategies-based algorithm for estimating gradients in unrolled computation graphs, called ES-Single. Similarly to the recently-proposed Persistent Evolution Strategies (PES), ES-Single is unbiased, and overcomes…

Machine Learning · Computer Science 2023-04-24 Paul Vicol , Zico Kolter , Kevin Swersky

Disentangled representation learning has recently attracted a significant amount of attention, particularly in the field of image representation learning. However, learning the disentangled representations behind a graph remains largely…

Machine Learning · Computer Science 2020-06-11 Xiaojie Guo , Liang Zhao , Zhao Qin , Lingfei Wu , Amarda Shehu , Yanfang Ye

Sampling is a widely used graph reduction technique to accelerate graph computations and simplify graph visualizations. By comprehensively analyzing the literature on graph sampling, we assume that existing algorithms cannot effectively…

Social and Information Networks · Computer Science 2020-09-17 Ying Zhao , Haojin Jiang , Qi'an Chen , Yaqi Qin , Huixuan Xie , Yitao Wu Shixia Liu , Zhiguang Zhou , Jiazhi Xia , Fangfang Zhou

Embedding static graphs in low-dimensional vector spaces plays a key role in network analytics and inference, supporting applications like node classification, link prediction, and graph visualization. However, many real-world networks…

Machine Learning · Computer Science 2021-07-23 Claudio D. T. Barros , Matheus R. F. Mendonça , Alex B. Vieira , Artur Ziviani

We present a new algorithm for approximating the number of triangles in a graph $G$ whose edges arrive as an arbitrary order stream. If $m$ is the number of edges in $G$, $T$ the number of triangles, $\Delta_E$ the maximum number of…

Data Structures and Algorithms · Computer Science 2021-07-16 Rajesh Jayaram , John Kallaugher

Graph Drawing techniques have been developed in the last few years with the purpose of producing aesthetically pleasing node-link layouts. Recently, the employment of differentiable loss functions has paved the road to the massive usage of…

Machine Learning · Computer Science 2022-07-04 Matteo Tiezzi , Gabriele Ciravegna , Marco Gori

We study the problem of optimal sampling in an edge-based video analytics system (VAS), where sensor samples collected at a terminal device are offloaded to a back-end server that processes them and generates feedback for a user. Sampling…

Information Theory · Computer Science 2023-02-22 Vishnu Narayanan Moothedath

A well-known problem in data science and machine learning is {\em linear regression}, which is recently extended to dynamic graphs. Existing exact algorithms for updating the solution of dynamic graph regression require at least a linear…

Machine Learning · Computer Science 2022-10-10 Mostafa Haghir Chehreghani

Eigenvalues of a graph are of high interest in graph analytics for Big Data due to their relevance to many important properties of the graph including network resilience, community detection and the speed of viral propagation. Accurate…

Social and Information Networks · Computer Science 2018-05-22 Guyue Han , Harish Sethu

Comparative analysis between a network and a random graph model can uncover network properties that significantly deviate from those in random networks. The standard random graph model used for comparison uniformly samples random graphs…

Combinatorics · Mathematics 2025-04-09 Yanna J. Kraakman , Clara Stegehuis

Recent years have witnessed the remarkable success of applying Graph machine learning (GML) to node/graph classification and link prediction. However, edge classification task that enjoys numerous real-world applications such as social…

Machine Learning · Computer Science 2024-06-19 Xueqi Cheng , Yu Wang , Yunchao Liu , Yuying Zhao , Charu C. Aggarwal , Tyler Derr

We present the novel Efficient Line Segment Detector and Descriptor (ELSD) to simultaneously detect line segments and extract their descriptors in an image. Unlike the traditional pipelines that conduct detection and description separately,…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Haotian Zhang , Yicheng Luo , Fangbo Qin , Yijia He , Xiao Liu

Interaction graphs, such as those recording emails between individuals or transactions between institutions, tend to be sparse yet structured, and often grow in an unbounded manner. Such behavior can be well-captured by structured,…

Machine Learning · Computer Science 2019-10-15 Elahe Ghalebi , Hamidreza Mahyar , Radu Grosu , Graham W. Taylor , Sinead A. Williamson

An important challenge in the field of exponential random graphs (ERGs) is the fitting of non-trivial ERGs on large graphs. By utilizing fast matrix block-approximation techniques, we propose an approximative framework to such non-trivial…

Social and Information Networks · Computer Science 2022-02-02 Florian Adriaens , Alexandru Mara , Jefrey Lijffijt , Tijl De Bie
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