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添加14字节 、 2024年9月10日 (星期二)
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Where [math]A\in\mathcal{R}^{n\times n}[/math] is a full-rank n*n matrix representing the dynamics of the linear iterative system, and [math]\varepsilon_t\sim\mathcal{N}(0,\Sigma)[/math] is n-dimensional Gaussian noise with mean zero and covariance matrix [math]\Sigma[/math]. Among them, the covariance matrix [math]\Sigma[/math] is also full rank.
 
Where [math]A\in\mathcal{R}^{n\times n}[/math] is a full-rank n*n matrix representing the dynamics of the linear iterative system, and [math]\varepsilon_t\sim\mathcal{N}(0,\Sigma)[/math] is n-dimensional Gaussian noise with mean zero and covariance matrix [math]\Sigma[/math]. Among them, the covariance matrix [math]\Sigma[/math] is also full rank.
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可以看出这一迭代系统可以看做是公式{{EquationNote|5}}的特例,其中[math]y[/math]对应这里的[math]x_{t+1}[/math][math]f(x_t)[/math]即是[math]A x_t[/math]
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It can be seen that this iterative system can be regarded as a special case of formula 5, where [math]y[/math] corresponds to [math]x_{t+1}[/math] here, and [math]f(x_t)[/math] is [math]A x_t[/math].
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为定义EI,设干预空间大小为<math>L</math>,对于单步的映射我们可以得到维度平均有效信息
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To define EI, let the intervention space size be <math>L</math>. For a single step mapping, we can obtain the average effective information of the dimensions.
 
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, the EI for a single step mapping is:
      
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