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Securely Outsourcing Large Scale Eigen Value Problem to Public Cloud
Cloud computing enables clients with limited computational power to
economically outsource their large scale computations to a public cloud with
huge computational power. Cloud has the massive storage, computational power
and software which can be used by clients for reducing their computational
overhead and storage limitation. But in case of outsourcing, privacy of
client's confidential data must be maintained. We have designed a protocol for
outsourcing large scale Eigen value problem to a malicious cloud which provides
input/output data security, result verifiability and client's efficiency. As
the direct computation method to find all eigenvectors is computationally
expensive for large dimensionality, we have used power iterative method for
finding the largest Eigen value and the corresponding Eigen vector of a matrix.
For protecting the privacy, some transformations are applied to the input
matrix to get encrypted matrix which is sent to the cloud and then decrypting
the result that is returned from the cloud for getting the correct solution of
Eigen value problem. We have also proposed result verification mechanism for
detecting robust cheating and provided theoretical analysis and experimental
result that describes high-efficiency, correctness, security and robust
cheating resistance of the proposed protocol
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