A secure sigmoid function calculation system is a system in which mapσ is assumed to be secure batch mapping defined by parameters (a0, ..., ak-1) representing the domain of definition of a sigmoid function σ(x) and parameters (σ(a0), ..., σ(ak-1)) representing the range of the sigmoid function σ(x) (a0, ..., ak-1 are real numbers that satisfy a0 < ... < ak-1) and which is configured with three or more secure sigmoid function calculation apparatuses and calculates, from a share [[x→]] of an input vector x→, a share [[y→]] of a value y→ of a sigmoid function for the input vector x→, the system including a secure batch mapping calculating means that calculates the share [[y→]] by [[y→]] = mapσ([[x→]]) = ([[σ(af(0))]], ..., [[σ(af(m-1))]]) (where f(i) (0 ≤ i ≤ m-1) is j that makes aj ≤ Xi < aj+i hold).展开▼
机译：安全的S形函数计算系统是一个系统，其中假设Map σ是由参数定义的安全批处理映射（a 0 ，...，a k -1 ）表示SIGMOID函数σ（x）和参数的定义域（σ（a 0 ），...，σ（a k - 表示SIGMOID函数σ（x）范围（a 0 ，...，a k-1 ）满足 0 ... sub> k-1 ）的实数，并且配置有三个或更多个安全的sigmoid函数计算设备并从共享计算[ [x →]的输入向量x →，值y →<[y →]]] / sup>用于输入向量x →的sigmoid函数，包括安全批处理映射计算方法，用于计算共享[[y →]] [[ y →]] =mapσ（[[x →]）=（[[σ（a f（0））]]， ...，[[σ（ f（m-1））]]）（其中f（i）（0≤i≤m-1）是j th在使 j ≤x i j + i hold）。
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