CalculateGeometricRandomWalkKernel {graphkernels}

Geometric random walk kernel

Description

This function calculates a kernel matrix of the geometric random walk kernel K_{GR}.

Usage

CalculateGeometricRandomWalkKernel(G, par)

Arguments

G

a list of igraph graphs

par

a coefficient \lambda, with which the weight \lambda_k for each step k is given as \lambda_k = \lambda^k

Value

a kernel matrix of the geometric random walk kernel K_{GR}

Author(s)

Mahito Sugiyama

References

Gartner, T., Flach, P., Wrobel, S.: On graph kernels: Hardness results and efficient alternatives, Learning Theory and Kernel Machines (LNCS 2777), 129-143 (2003) https://link.springer.com/chapter/10.1007/978-3-540-45167-9_11.

Sugiyama, M., Borgwardt, K. M.: Halting in Random Walk Kernels, Advances in Neural Information Processing Systems (NIPS 2015), 28, 1630-1638 (2015) https://papers.nips.cc/paper/5688-halting-in-random-walk-kernels.pdf.

Examples

data(mutag)
K <- CalculateGeometricRandomWalkKernel(mutag, .1)