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A covering projection from a graph \(G\) onto a graph \(H\) is a ``local isomorphism'': a mapping from the vertex set of \(G\) onto the vertex set of \(H\) such that, for every \(v\in V(G)\), the neighborhood of \(v\) is mapped bijectively onto the neighborhood (in \(H\)) of the image of \(v\).
Jan Kratochvíl +2 more
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JONNEE: Joint Network Nodes and Edges Embedding
Recently, graph embedding models significantly improved the quality of graph machine learning tasks, such as node classification and link prediction. In this work, we propose a model called JONNEE (JOint Network Nodes and Edges Embedding), which learns ...
Ilya Makarov +2 more
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Graph-based regularization for spherical signal interpolation [PDF]
This paper addresses the problem of the interpolation of 2-d spherical signals from non-uniformly sampled and noisy data. We propose a graph-based regularization algorithm to improve the signal reconstructed by local interpolation methods such as nearest
Pascal Frossard +3 more
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Feature representation via graph-regularized entropy-weighted nonnegative matrix factorization [PDF]
Feature extraction plays a crucial role in dimensionality reduction in machine learning applications. Nonnegative Matrix Factorization (NMF) has emerged as a powerful technique for dimensionality reduction; however, its equal treatment of all features ...
Hazhir Sohrabi +2 more
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AbstractThis paper is a continuation of [1] and we shall use the same terminology. The main result of this part is the following: Suppose that the automorphism group of a connected graph of valency p + 1, p a prime, has a subgroup which acts as a regular permutation group on the set of s-arcs of the graph. Then s ≤ 7 and s ≠ 6.
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On orbital regular graphs and frobenius graphs
A group is a Frobenius group if it acts transitively but not freely on a set such that no two elements are fixed by a non-trivial element of the group. An orbital-regular graph is a finite graph whose automorphism group has a subgroup which is transitive on the edges and contains no element which fixes two vertices.
Xin Gui Fang +2 more
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A simplifying feature of the heterotic one loop four graviton amplitude
We show that the weight four modular graph functions that contribute to the integrand of the t8t8D4R4 term at one loop in heterotic string theory do not require regularization, and hence the integrand is simple.
Anirban Basu
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Traditional wet experiments to identify drug–target interactions (DTIs) are costly and time consuming. Therefore, machine learning-based methods are commonly used to speed up the identification process.
Junjun Zhang, Tingfeng Zeng
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On extension of regular graphs [PDF]
arXiv admin note: substantial text overlap with arXiv:1407 ...
Banerjee, Anirban, Bej, Saptarshi
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Global-Local Consistency Constrained Deep Embedded Clustering for Hyperspectral Band Selection
Hyperspectral band selection plays a key role for overcoming the curse of dimensionality in the classification of hyperspectral remote sensing images (HSIs).
Shangfeng Ning, Wenhong Wang
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