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We consider the representation power of siamese-style similarity functions used in neural network-based graph embedding. The inner product similarity (IPS) with feature vectors computed via neural networks is commonly used for representing…

Machine Learning · Statistics 2018-07-13 Akifumi Okuno , Hidetoshi Shimodaira

We propose $\textit{weighted inner product similarity}$ (WIPS) for neural network-based graph embedding. In addition to the parameters of neural networks, we optimize the weights of the inner product by allowing positive and negative…

Machine Learning · Computer Science 2019-06-04 Geewook Kim , Akifumi Okuno , Kazuki Fukui , Hidetoshi Shimodaira

Among various distance functions for graphs, graph and subgraph edit distances (GED and SED respectively) are two of the most popular and expressive measures. Unfortunately, exact computations for both are NP-hard. To overcome this…

Machine Learning · Computer Science 2023-04-25 Rishabh Ranjan , Siddharth Grover , Sourav Medya , Venkatesan Chakaravarthy , Yogish Sabharwal , Sayan Ranu

Graph embedding methods embed the nodes in a graph in low dimensional vector space while preserving graph topology to carry out the downstream tasks such as link prediction, node recommendation and clustering. These tasks depend on a…

Machine Learning · Computer Science 2020-10-22 Ramanujam Madhavan , Mohit Wadhwa

With the end of Moore's Law, there is a growing demand for rapid architectural innovations in modern processors, such as RISC-V custom extensions, to continue performance scaling. Program sampling is a crucial step in microprocessor design,…

Hardware Architecture · Computer Science 2023-04-19 Yuanwei Fang , Zihao Liu , Yanheng Lu , Jiawei Liu , Jiajie Li , Yi Jin , Jian Chen , Yenkuang Chen , Hongzhong Zheng , Yuan Xie

We introduce the Graph Sylvester Embedding (GSE), an unsupervised graph representation of local similarity, connectivity, and global structure. GSE uses the solution of the Sylvester equation to capture both network structure and…

Machine Learning · Computer Science 2022-05-10 Shay Deutsch , Stefano Soatto

Measuring similarity between IP addresses is an important task in the daily operations of any enterprise network. Applications that depend on an IP similarity measure include measuring correlation between security alerts, building baselines…

Machine Learning · Computer Science 2020-10-14 Hazem M. Soliman , Geoff Salmon , Dusan Sovilij , Mohan Rao

Low-dimensional representations, or embeddings, of a graph's nodes facilitate several practical data science and data engineering tasks. As such embeddings rely, explicitly or implicitly, on a similarity measure among nodes, they require…

Machine Learning · Computer Science 2023-01-06 Anton Tsitsulin , Marina Munkhoeva , Davide Mottin , Panagiotis Karras , Ivan Oseledets , Emmanuel Müller

Graph similarity search is among the most important graph-based applications, e.g. finding the chemical compounds that are most similar to a query compound. Graph similarity computation, such as Graph Edit Distance (GED) and Maximum Common…

Machine Learning · Computer Science 2020-03-03 Yunsheng Bai , Hao Ding , Song Bian , Ting Chen , Yizhou Sun , Wei Wang

Graph matching refers to finding node correspondence between graphs, such that the corresponding node and edge's affinity can be maximized. In addition with its NP-completeness nature, another important challenge is effective modeling of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Runzhong Wang , Junchi Yan , Xiaokang Yang

Feature-based image matching has extensive applications in computer vision. Keypoints detected in images can be naturally represented as graph structures, and Graph Neural Networks (GNNs) have been shown to outperform traditional deep…

Computer Vision and Pattern Recognition · Computer Science 2025-08-29 Xianfeng Song , Yi Zou , Zheng Shi , Zheng Liu

Embedding a web-scale information network into a low-dimensional vector space facilitates tasks such as link prediction, classification, and visualization. Past research has addressed the problem of extracting such embeddings by adopting…

Social and Information Networks · Computer Science 2018-03-14 Anton Tsitsulin , Davide Mottin , Panagiotis Karras , Emmanuel Müller

We propose the Graph Space Embedding (GSE), a technique that maps the input into a space where interactions are implicitly encoded, with little computations required. We provide theoretical results on an optimal regime for the GSE, namely a…

Machine Learning · Computer Science 2019-08-01 João Pereira , Albert Groen , Erik Stroes , Evgeni Levin

Graph similarity computation is one of the core operations in many graph-based applications, such as graph similarity search, graph database analysis, graph clustering, etc. Since computing the exact distance/similarity between two graphs…

Machine Learning · Computer Science 2021-05-18 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

The inner-product navigable small world graph (ip-NSW) represents the state-of-the-art method for approximate maximum inner product search (MIPS) and it can achieve an order of magnitude speedup over the fastest baseline. However, to date…

Information Retrieval · Computer Science 2019-12-10 Jie Liu , Xiao Yan , Xinyan Dai , Zhirong Li , James Cheng , Ming-Chang Yang

Due to widespread interest in machine translation and transfer learning, there are numerous algorithms for mapping multiple embeddings to a shared representation space. Recently, these algorithms have been studied in the setting of…

Computation and Language · Computer Science 2021-03-25 Vin Sachidananda , Ziyi Yang , Chenguang Zhu

Graph node embedding aims at learning a vector representation for all nodes given a graph. It is a central problem in many machine learning tasks (e.g., node classification, recommendation, community detection). The key problem in graph…

Machine Learning · Computer Science 2019-10-01 Shupeng Gui , Xiangliang Zhang , Pan Zhong , Shuang Qiu , Mingrui Wu , Jieping Ye , Zhengdao Wang , Ji Liu

\Graph similarity computation is an essential task in many real-world graph-related applications such as retrieving the similar drugs given a query chemical compound or finding the user's potential friends from the social network database.…

Machine Learning · Computer Science 2024-12-18 Jingjing Wang , Hongjie Zhu , Haoran Xie , Fu Lee Wang , Xiaoliang Xu , Yuxiang Wang

The ability to compute similarity scores between graphs based on metrics such as Graph Edit Distance (GED) is important in many real-world applications. Computing exact GED values is typically an NP-hard problem and traditional algorithms…

Machine Learning · Computer Science 2022-08-18 Haoyan Xu , Runjian Chen , Yueyang Wang , Ziheng Duan , Jie Feng

Graph self-supervised learning (GSSL) has emerged as a compelling framework for extracting informative representations from graph-structured data without extensive reliance on labeled inputs. In this study, we introduce Graph Interplay…

Machine Learning · Computer Science 2025-01-17 Xinjian Zhao , Wei Pang , Xiangru Jian , Yaoyao Xu , Chaolong Ying , Tianshu Yu
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