@techreport{oai:ipsj.ixsq.nii.ac.jp:00224756,
 author = {Akito, Yamamoto and Tetsuo, Shibuya and Akito, Yamamoto and Tetsuo, Shibuya},
 issue = {11},
 month = {Feb},
 note = {As the amount of data containing human genome information increases, these data will be further utilized in medicine. However, if the genomic statistics are released unchanged, there is a risk of identifying individuals. Although there are several privacy-preserving methods to release them, they have the problems of poor accuracy and intensive computational complexity. In this paper, we propose differentially private methods with both efficiency and high accuracy to release the top K significant SNPs. First, we propose an extended Fourier perturbation algorithm with more accurate privacy guarantees. Then, we present novel methods combining DFT with the Laplace and exponential mechanisms. These methods take only O(mlogm) time for a dataset containing m SNPs. We also theoretically guarantee that the value of sensitivity for these methods is smaller than that for existing methods. The experimental results indicate that our methods are advisable rather than existing methods., As the amount of data containing human genome information increases, these data will be further utilized in medicine. However, if the genomic statistics are released unchanged, there is a risk of identifying individuals. Although there are several privacy-preserving methods to release them, they have the problems of poor accuracy and intensive computational complexity. In this paper, we propose differentially private methods with both efficiency and high accuracy to release the top K significant SNPs. First, we propose an extended Fourier perturbation algorithm with more accurate privacy guarantees. Then, we present novel methods combining DFT with the Laplace and exponential mechanisms. These methods take only O(mlogm) time for a dataset containing m SNPs. We also theoretically guarantee that the value of sensitivity for these methods is smaller than that for existing methods. The experimental results indicate that our methods are advisable rather than existing methods.},
 title = {Efficient and Highly Accurate Differentially Private Statistical Genomic Analysis using Discrete Fourier Transform},
 year = {2023}
}