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Despite the success of deep learning on representing images for particular object retrieval, recent studies show that the learned representations still lie on manifolds in a high dimensional space. This makes the Euclidean nearest neighbor…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Ahmet Iscen , Yannis Avrithis , Giorgos Tolias , Teddy Furon , Ondrej Chum

Retrieving the most similar objects in a large-scale database for a given query is a fundamental building block in many application domains, ranging from web searches, visual, cross media, and document retrievals. State-of-the-art…

Machine Learning · Computer Science 2018-03-15 Muge Li , Liangyue Li , Feiping Nie

Spectral clustering has found extensive use in many areas. Most traditional spectral clustering algorithms work in three separate steps: similarity graph construction; continuous labels learning; discretizing the learned labels by k-means…

Machine Learning · Computer Science 2017-11-15 Zhao Kang , Chong Peng , Qiang Cheng , Zenglin Xu

It is a key to construct a similarity graph in graph-oriented subspace learning and clustering. In a similarity graph, each vertex denotes a data point and the edge weight represents the similarity between two points. There are two popular…

Machine Learning · Computer Science 2017-05-17 Liangli Zhen , Zhang Yi , Xi Peng , Dezhong Peng

Binary code similarity detection is an important problem with applications in areas such as malware analysis, vulnerability research and license violation detection. This paper proposes a novel graph neural network architecture combined…

Cryptography and Security · Computer Science 2024-11-13 Joshua Collyer , Tim Watson , Iain Phillips

Graph kernels are usually defined in terms of simpler kernels over local substructures of the original graphs. Different kernels consider different types of substructures. However, in some cases they have similar predictive performances,…

Machine Learning · Computer Science 2016-07-22 Nicolò Navarin , Alessandro Sperduti , Riccardo Tesselli

Mining large-scale high-throughput tandem mass spectrometry data sets is a very important problem in mass spectrometry based protein identification. One of the fundamental problems in large scale mining of spectra is to design appropriate…

Quantitative Methods · Quantitative Biology 2007-05-23 Debojyoti Dutta , Ting Chen

This paper describes the systematic application of local topological methods for detecting interfaces and related anomalies in complicated high-dimensional data. By examining the topology of small regions around each point, one can…

Algebraic Topology · Mathematics 2022-05-25 Bernadette J Stolz , Jared Tanner , Heather A Harrington , Vidit Nanda

Graph similarity learning, crucial for tasks such as graph classification and similarity search, focuses on measuring the similarity between two graph-structured entities. The core challenge in this field is effectively managing the…

Information Retrieval · Computer Science 2025-02-26 Zenghui Chang , Yiqiao Zhang , Hong Cai Chen

Semantic similarity measures (SSMs) refer to a set of algorithms used to quantify the similarity of two or more terms belonging to the same ontology. Ontology terms may be associated to concepts, for instance in computational biology gene…

Molecular Networks · Quantitative Biology 2013-05-22 Pietro Hiram Guzzi , Simone Truglia , Pierangelo Veltri , Mario Cannataro

This paper introduces an approach for detecting differences in the first-order structures of spatial point patterns. The proposed approach leverages the kernel mean embedding in a novel way by introducing its approximate version tailored to…

Methodology · Statistics 2020-06-15 Raif M. Rustamov , James T. Klosowski

The rise of graph analytic systems has created a need for ways to measure and compare the capabilities of these systems. Graph analytics present unique scalability difficulties. The machine learning, high performance computing, and visual…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-07 Siddharth Samsi , Vijay Gadepally , Michael Hurley , Michael Jones , Edward Kao , Sanjeev Mohindra , Paul Monticciolo , Albert Reuther , Steven Smith , William Song , Diane Staheli , Jeremy Kepner

The Weisfeiler-Lehman graph kernels are among the most prevalent graph kernels due to their remarkable time complexity and predictive performance. Their key concept is based on an implicit comparison of neighborhood representing trees with…

Machine Learning · Computer Science 2021-01-21 Till Hendrik Schulz , Tamás Horváth , Pascal Welke , Stefan Wrobel

Subgraph isomorphism counting is known as #P-complete and requires exponential time to find the accurate solution. Utilizing representation learning has been shown as a promising direction to represent substructures and approximate the…

Machine Learning · Computer Science 2024-05-14 Xin Liu , Weiqi Wang , Jiaxin Bai , Yangqiu Song

Representing data residing on a graph as a linear combination of building block signals can enable efficient and insightful visual or statistical analysis of the data, and such representations prove useful as regularizers in signal…

Signal Processing · Electrical Eng. & Systems 2020-12-02 David I Shuman

Graph-based clustering has shown promising performance in many tasks. A key step of graph-based approach is the similarity graph construction. In general, learning graph in kernel space can enhance clustering accuracy due to the…

Machine Learning · Computer Science 2019-05-22 Zhao Kang , Honghui Xu , Boyu Wang , Hongyuan Zhu , Zenglin Xu

In recent years, deep metric learning has achieved promising results in learning high dimensional semantic feature embeddings where the spatial relationships of the feature vectors match the visual similarities of the images. Similarity…

Machine Learning · Computer Science 2019-09-25 Konstantin Schall , Kai Uwe Barthel , Nico Hezel , Klaus Jung

SpectralNet is a graph clustering method that uses neural network to find an embedding that separates the data. So far it was only used with $k$-nn graphs, which are usually constructed using a distance metric (e.g., Euclidean distance).…

Machine Learning · Computer Science 2023-02-28 Mashaan Alshammari , John Stavrakakis , Adel F. Ahmed , Masahiro Takatsuka

Recent years have seen a rise in the development of representational learning methods for graph data. Most of these methods, however, focus on node-level representation learning at various scales (e.g., microscopic, mesoscopic, and…

Machine Learning · Computer Science 2021-11-18 Lili Wang , Chenghan Huang , Weicheng Ma , Xinyuan Cao , Soroush Vosoughi

In recent years, the spectral analysis of appropriately defined kernel matrices has emerged as a principled way to extract the low-dimensional structure often prevalent in high-dimensional data. Here we provide an introduction to spectral…

Machine Learning · Statistics 2010-04-20 Mohamed-Ali Belabbas , Patrick J. Wolfe