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- W1949805190 abstract "In this paper, we use the quantum Jensen-Shannon divergence as a means to establish the similarity between a pair of graphs and to develop a novel graph kernel. In quantum theory, the quantum Jensen-Shannon divergence is defined as a distance measure between quantum states. In order to compute the quantum Jensen-Shannon divergence between a pair of graphs, we first need to associate a density operator with each of them. Hence, we decide to simulate the evolution of a continuous-time quantum walk on each graph and we propose a way to associate a suitable quantum state with it. With the density operator of this quantum state to hand, the graph kernel is defined as a function of the quantum Jensen-Shannon divergence between the graph density operators. We evaluate the performance of our kernel on several standard graph datasets from bioinformatics. We use the Principle Component Analysis (PCA) on the kernel matrix to embed the graphs into a feature space for classification. The experimental results demonstrate the effectiveness of the proposed approach." @default.
- W1949805190 created "2016-06-24" @default.
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- W1949805190 date "2013-01-01" @default.
- W1949805190 modified "2023-09-23" @default.
- W1949805190 title "A Quantum Jensen-Shannon Graph Kernel Using the Continuous-Time Quantum Walk" @default.
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- W1949805190 doi "https://doi.org/10.1007/978-3-642-38221-5_13" @default.
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