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Graph embedding generation techniques aim to learn low-dimensional vectors for each node in a graph and have recently gained increasing research attention. Publishing low-dimensional node vectors enables various graph analysis tasks, such…

Machine Learning · Statistics 2025-01-08 Sen Zhang , Qingqing Ye , Haibo Hu

Graph embedding is essential for graph mining tasks. With the prevalence of graph data in real-world applications, many methods have been proposed in recent years to learn high-quality graph embedding vectors various types of graphs.…

Machine Learning · Computer Science 2021-05-25 Jianxin Li , Xingcheng Fu , Hao Peng , Senzhang Wang , Shijie Zhu , Qingyun Sun , Philip S. Yu , Lifang He

Graph autoencoders (GAEs) are powerful tools in representation learning for graph embedding. However, the performance of GAEs is very dependent on the quality of the graph structure, i.e., of the adjacency matrix. In other words, GAEs would…

Machine Learning · Computer Science 2021-03-24 Rui Zhang , Yunxing Zhang , Xuelong Li

We give nearly optimal bounds on the sample complexity of $(\widetilde{\Omega}(\epsilon),\epsilon)$-tolerant testing the $\rho$-independent set property in the dense graph setting. In particular, we give an algorithm that inspects a random…

Data Structures and Algorithms · Computer Science 2025-03-28 Cameron Seth

Normalized-cut graph partitioning aims to divide the set of nodes in a graph into $k$ disjoint clusters to minimize the fraction of the total edges between any cluster and all other clusters. In this paper, we consider a fair variant of the…

Machine Learning · Computer Science 2023-10-10 Jia Li , Yanhao Wang , Arpit Merchant

Unsupervised attributed graph representation learning is challenging since both structural and feature information are required to be represented in the latent space. Existing methods concentrate on learning latent representation via…

Machine Learning · Computer Science 2021-04-28 Zelin Zang , Siyuan Li , Di Wu , Jianzhu Guo , Yongjie Xu , Stan Z. Li

Image classification is a challenging problem for computer in reality. Large numbers of methods can achieve satisfying performances with sufficient labeled images. However, labeled images are still highly limited for certain image…

Computer Vision and Pattern Recognition · Computer Science 2020-11-12 Hongfeng Li

The semi-analytical method obtains the solution for linear/nonlinear ODEs and PDEs in series form. This article presents a novel semi-analytical approach named Daftardar-Jafari method (DJM) to solve integro-partial differential equation…

Numerical Analysis · Mathematics 2023-03-31 Sanjiv Kumar Bariwal , Gourav Arora , Rajesh Kumar

Purpose: To develop a neural ordinary differential equation (ODE) model for visualizing deep neural network (DNN) behavior during multi-parametric MRI (mp-MRI) based glioma segmentation as a method to enhance deep learning explainability.…

Quantitative Methods · Quantitative Biology 2022-03-25 Zhenyu Yang , Zongsheng Hu , Hangjie Ji , Kyle Lafata , Scott Floyd , Fang-Fang Yin , Chunhao Wang

We propose a novel iterative method to adapt a a graph to d-dimensional image data. The method drives the nodes of the graph towards image features. The adaptation process naturally lends itself to a measure of feature saliency which can…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Alberto Gomez , Veronika A. Zimmer , Bishesh Khanal , Nicolas Toussaint , Julia A. Schnabel

This paper aims to develop a new and robust approach to feature representation. Motivated by the success of Auto-Encoders, we first theoretical summarize the general properties of all algorithms that are based on traditional Auto-Encoders:…

Machine Learning · Computer Science 2018-10-24 Zeng Yu , Tianrui Li , Ning Yu , Yi Pan , Hongmei Chen , Bing Liu

Discovering imaging biomarkers for autism spectrum disorder (ASD) is critical to help explain ASD and predict or monitor treatment outcomes. Toward this end, deep learning classifiers have recently been used for identifying ASD from…

Computer Vision and Pattern Recognition · Computer Science 2019-03-15 Xiaoxiao Li , Nicha C. Dvornek , Yuan Zhou , Juntang Zhuang , Pamela Ventola , James S. Duncan

Masked graph autoencoder (MGAE) has emerged as a promising self-supervised graph pre-training (SGP) paradigm due to its simplicity and effectiveness. However, existing efforts perform the mask-then-reconstruct operation in the raw data…

Machine Learning · Computer Science 2023-04-07 Wenxuan Tu , Qing Liao , Sihang Zhou , Xin Peng , Chuan Ma , Zhe Liu , Xinwang Liu , Zhiping Cai

In this paper we consider the decremental single-source shortest paths (SSSP) problem, where given a graph $G$ and a source node $s$ the goal is to maintain shortest distances between $s$ and all other nodes in $G$ under a sequence of…

Data Structures and Algorithms · Computer Science 2017-05-30 Aaron Bernstein

Deep learning models for medical image classification usually achieve promising results but typically rely on large, annotated datasets or standard transfer learning from ImageNet. Self-Supervised Learning (SSL) has emerged as a powerful…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Joao Batista Florindo , Amanda Pontes de Oliveira Ornelas

We present Graph Attention Collaborative Similarity Embedding (GACSE), a new recommendation framework that exploits collaborative information in the user-item bipartite graph for representation learning. Our framework consists of two parts:…

Information Retrieval · Computer Science 2021-02-08 Jinbo Song , Chao Chang , Fei Sun , Zhenyang Chen , Guoyong Hu , Peng Jiang

Many problems in robotics involve both continuous and discrete components, and modeling them together for estimation tasks has been a long standing and difficult problem. Hybrid Factor Graphs give us a mathematical framework to model these…

Robotics · Computer Science 2026-05-04 Varun Agrawal , Frank Dellaert

Maximal Clique Enumeration (MCE) is a fundamental graph mining problem, and is useful as a primitive in identifying dense structures in a graph. Due to the high computational cost of MCE, parallel methods are imperative for dealing with…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-31 Apurba Das , Seyed-Vahid Sanei-Mehri , Srikanta Tirthapura

We analyze, from the viewpoint of positivity preservation, certain discretizations of a fundamental partial differential equation, the one-dimensional advection equation with periodic boundary condition. The full discretization is obtained…

Numerical Analysis · Mathematics 2021-05-18 Yiannis Hadjimichael , David I. Ketcheson , Lajos Lóczi

Semi-supervised learning is attracting increasing attention due to the fact that datasets of many domains lack enough labeled data. Variational Auto-Encoder (VAE), in particular, has demonstrated the benefits of semi-supervised learning.…

Machine Learning · Computer Science 2018-12-04 Yang Li , Quan Pan , Suhang Wang , Haiyun Peng , Tao Yang , Erik Cambria
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