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ECSO 特征选择
  • 特征表示 :患者动态步态数据的重要特征由一个 N 维整数向量表示,该向量属于整数空间,其数学表达式为:
    [
    S_N = {(x_1, \ldots, x_n, \ldots, x_N) | x_n \in I, x_{min}^n \leq x_n \leq x_{max}^n, 1 \leq n \leq N }
    ]
    其中,(I) 表示整数集,(x_{min}^n) 和 (x_{max}^n) 分别代表整数变量的下限和上限范围。
  • 多目标优化 :该研究问题的多目标优化可通过以下数学公式表达:
    [
    f(X) =
    \begin{cases}
    \min_X f_1(X) \
    \min_X f_2(X) \
    \cdots \
    \min_X f_n(X)
    \end{cases}
    ]
    这里,(X) 是整数空间 (S_N) 上的向量,第 (m) 个目标函数可表示为 (f_m(X)),其中 (m \in {1, 2, \ldots, n}),且搜索向量 (X) 为 N 维。当且仅当满足以下两个条件时,最小化问题的解被称为支配向量:
    [
    f_p(X_u) \leq f_p(X_v), \forall p \in {1, 2, \ldots, n}
    ]
    [
    f_p(X_u) < f_p(X_v), \e

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