  ![Reconstructed data of the first node for a problem with a small number of DoFs with system noise.](pone.0000000.g000){#pone.0000000.g000}  ![Errors in the reconstructed data for multiple runs of a problem with a small number of DoFs with system noise.](pone.0000000.g000){#pone.0000000.g000}  ### 0.0.0 Effects of the balance of system and observation noises {#sec000}  In this subsubsection, the effects of the balance of system and observation noises 