The phrase "approximated using data" is correct and usable in written English.
It can be used in contexts where you are discussing estimates or calculations that rely on data for accuracy.
Example: "The results were approximated using data collected from various sources to ensure reliability."
Alternatives: "estimated based on data" or "calculated using data".
Positions approximated using experimental data in tandem with the numerically determined results are closely matched to the values observed using optical microscopy techniques (See Supplementary Results), falling within the experimental error.
The ODF can be approximated using experimental data and used to evaluate the anisotropic effect of fibres in considered directions.
The inflow spray is specified by a Kelvin–Helmholtz (or aerodynamic) breakup model and compared with LES without breakup, where the incoming spray is approximated using measured data just downstream of the injector.
Finally, the human population growth rate was approximated using census data in time fitted to both exponential and logistic curves, and by estimating the rate coefficients under the model that best fit the data using the SPSS v.11.0.1 program (SPSS Inc. Chicago, IL).
Thus, the complex process-based model is approximated using simpler data-based approaches.
To do so, we also used complementary datasets that are either generally available, such as travel surveys, or that could be approximated using mobile phone data (e.g., land use).
The spatial distribution of the rock basement can be approximated using depth to bedrock data from the wells database and indicates, at a coarse-scale, where subsurface valleys and peaks of the basement rock are located.
Both magnetic slope data and ring density data are approximated using a Stineman function.
The EIS data are approximated using constant phase element (CPE) model from which kinetic and analytical parameters are evaluated.
Although the intensity of stratification can be difficult to predict in advance because it varies over short time scales due to wind forcing, it can likely be approximated using river flow and climate data.
