For the feature selection problem, we propose an efficient privacy-preserving algorithm. Let
D,
F, and
C be data, feature, and class sets, respectively, where the feature value
and the class label
are
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For the feature selection problem, we propose an efficient privacy-preserving algorithm. Let
D,
F, and
C be data, feature, and class sets, respectively, where the feature value
and the class label
are given for each
and
. For a triple
, the feature selection problem is to find a consistent and minimal subset
, where ‘consistent’ means that, for any
,
if
for
, and ‘minimal’ means that any proper subset of
is no longer consistent. On distributed datasets, we consider feature selection as a privacy-preserving problem: assume that semi-honest parties
and
have their own personal
and
. The goal is to solve the feature selection problem for
without sacrificing their privacy. In this paper, we propose a secure and efficient algorithm based on fully homomorphic encryption, and we implement our algorithm to show its effectiveness for various practical data. The proposed algorithm is the first one that can directly simulate the CWC (Combination of Weakest Components) algorithm on ciphertext, which is one of the best performers for the feature selection problem on the plaintext.
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