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Is it reasonable to ask for the same time-regularity of the high and low dimensional signals?

Consider we are dealing with sequential data sampled from a continuous time signal $x(t)\in \mathbb{R}^n$, so that the dataset will look like $\{x_0,x_1,…,x_n\}$, with $x_i= x(t_i)$. Assume that we ...
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