Results 101 to 110 of about 10,205 (230)
Providing an abstract representation of natural and human complex structures is a challenging problem. Accounting for the system heterogenous components while allowing for analytical tractability is a difficult balance. Here I introduce complex hypergraphs (chygraphs), bringing together concepts from hypergraphs, multi-layer networks, simplicial ...
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Directed hypergraph neural network
To deal with irregular data structure, graph convolution neural networks have been developed by a lot of data scientists. However, data scientists just have concentrated primarily on developing deep neural network method for un-directed graph.
Tran, Linh Hoang, Tran, Loc Hoang
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Interval hypergraphs and D-interval hypergraphs
AbstractA hypergraph H = (V, E) is called an interval hypergraph if there exists a one-to-one function ƒ mapping the elements of V to points on the real line such that for each edge E, there is an interval I, containing the images of all elements of E, but not the images of any elements not in E1.
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Finding the K shortest hyperpaths using reoptimization [PDF]
The shortest hyperpath problem is an extension of the classical shortest path problem and has applications in many different areas. Recently, algorithms for finding the K shortest hyperpaths in a directed hypergraph have been developed by Andersen ...
Andersen, Kim Allan +2 more
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Hypergraph Diffusions and Resolvents for Norm-Based Hypergraph Laplacians
The development of simple and fast hypergraph spectral methods has been hindered by the lack of numerical algorithms for simulating heat diffusions and computing fundamental objects, such as Personalized PageRank vectors, over hypergraphs. In this paper,
Tani, Erasmo +4 more
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Cross-modal Hypergraph Optimisation Learning for Multimodal Sentiment Analysis [PDF]
Sentiment expressions are multimodal,and more accurate emotions can be derived through multiple modalities such as verbal,audio,and visual.Studying the interactions among modalities can effectively improve the accuracy of multimodal sentiment analysis ...
JIANG Kun, ZHAO Zhengpeng, PU Yuanyuan, HUANG Jian, GU Jinjing, XU Dan
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Uncertainties quantification in simulation results and experimental data is a fundamental aspect in validation of finite element (FE) models [1]. Some methodologies and procedures for model updating and validation of spacecraft structural dynamics models
D’Amico, J. +2 more
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Demonstration of hypergraph-state quantum information processing
Complex entangled states are the key resources for measurement-based quantum computations, which is realised by performing a sequence of measurements on initially entangled qubits.
Jieshan Huang +9 more
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3-Zero-Divisor Hypergraph with Respect to an Element in Multiplicative Lattice
Let be a multiplicative lattice and be a proper element of . We introduce the3-zero-divisor hypergraph of with respect to which is a hypergraph whose vertices areelements of the set where distinct vertices and are adjacent, that is, is a hyperedge if and
Gülşen Ulucak
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