Secure Algorithm of Linear Regression under Private Information Protection

The cooperative statistical analysis on data sets of various enterprises is often done during enterprises' cooperation.In certain circumstances,since the data may involve private information,enterprises are unwilling to share their data in the absence of data protection,but they are willing to provide the whole characteristics of their data.Based on the thought,with Paillier's homomorphic encryption,enterprises' sensitive data with isomorphic and heterogeneous distributions are computed.Consequently,the collaborative linear regression analysis with enterprises' private information protection is solved.