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Here [math]\psi[/math] is an invertible function implemented via an [[invertible neural network]], and [math]\chi[/math] is a [[projection function]] that removes the last <math>p - q</math> dimensional components from the <math>p</math>-dimensional vector. Here, <math>p,q</math> represent the dimensions of the microscopic and macroscopic states, respectively. <math>\circ</math> is the composition operation of functions.

Here [math]\psi[/math] is an invertible function implemented via an [[invertible neural network]], and [math]\chi[/math] is a [[projection function]] that removes the last <math>p - q</math> dimensional components from the <math>p</math>-dimensional vector. Here, <math>p,q</math> represent the dimensions of the microscopic and macroscopic variables, respectively. <math>\circ</math> is the composition operation of functions.