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The protocol of privacy-preserving clustering with distributed EM mixture modeling was proposed. However, it is not completely secure in the situation that something more than just the model parameters are revealed. Specially, when the dataset is horizontally partitioned into just two parts, this reveals extra information. The aim of this work is firstly to develop a more general protocol which allows the number of participating parties to be arbitrary and more secure. Secondly, we propose adoi:10.15625/1813-9663/26/2/524 fatcat:li2c7ksllrcuvhpoesp4yuqpuy