Secret sigmoid function calculation system, secret logistic regression calculation system, secret sigmoid function calculation device, secret logistic regression calculation device, secret sigmoid function calculation method, secret logistic regression calculation method, program

摘要

We provide a technology for secretly calculating sigmoid functions at high speed and with high accuracy. Secret sigmoid function calculation that calculates the share [[σ'(x)]] of the value of the sigmoid function with respect to the input value x from the share [[x]] of the input value x, where g (x) is a function capable of secret calculation. In the system, the first comparison means that produces the first comparison result [[c]] = less_than ([[x]], t 1 ) and the second comparison result [[d]] = greater_than ([[x]). ]], The second comparison means to generate t 0 ), the first logical calculation means to generate the first logical calculation result [[e]] = not ([[c]]), and the second logical calculation result [[e]] = not ([[c]]) A second logical calculation means that generates [k]] = and ([[c]], [[d]]) or [[k]] = mul ([[c]], [[d]]), It includes a function value calculation means for calculating the share [[σ'(x)]] = mul ([[k]], [[g (x)]]) + [[e]].