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"parsimonious model" is a correct and usable phrase in written English.
You can use it to refer to a simple and economical representation of a system or phenomenon. For example, "The new parsimonious model gives us a clearer picture of the system's behaviour."
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Djuranovic S, Nahvi A, Green R. A parsimonious model for gene regulation by miRNAs.
The R2 and P values refer to the most parsimonious model fitted for each disease stage.
The objective is to find a parsimonious model that can be used to inform public policy.
A parsimonious model predicted survival as a function of age and mode of mobility at discharge (wheelchair-dependent or ambulant).
This is a parsimonious model requiring only two parameters per season.
A dynamic cascade represented the most parsimonious model of how substance use develops.
Rainfall shocks were not significant and therefore dropped from the parsimonious model.
Thus, a parsimonious model with three types captures the bulk of the information about subjects' social preferences.
Average apparent nest survival (28.9%) was similar to the most parsimonious model above (25.0%).
In consequence, they were excluded in order to have a more parsimonious model.
AIC penalizes complex models with more parameters; smaller values indicate a more parsimonious model.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com