The phrase "assumes identical" is correct and usable in written English.
It can be used in contexts where you are discussing a situation or condition that is based on the assumption that two or more things are the same.
Example: "The model assumes identical conditions for all participants in the experiment to ensure consistency in the results."
Alternatives: "presumes the same" or "takes as equal".
This highlights a problem with a priori comparison of efficiency for two or more experimental designs, which usually assumes identical error variance.
On the other hand, they would also contradict the standard model of fundamental particle physics, which assumes identical properties for matter and antimatter.
The former needs complex recursive calculations, the latter assumes identical mean and standard deviation.
Fuzzy concepts are introduced and a non-symmetric fuzzy similarity is developed in [30] which assumes identical tree structures and uses only the matching value.
Although this hypothesis assumes identical rates of gene gain and loss, and our coarse calculations have not considered that new gene duplicates are also the most likely genes to be lost, the consistency of gene number among fully sequenced mammals suggests that this is not an onerous assumption across short evolutionary time periods.
The proportional colocalisation test assumes identical patterns of LD in the two datasets so that the effect of a shared causal variant is proportional across any set of SNPs.
The latter two cases assume identical regional population projections, but differ in assumed local spatial planning policies, and therefore have different intra-regional population patterns.
The uniform disturbance scenario assumed identical disturbance regimes on all landforms.
In essence, design of bridges is customarily performed assuming identical signal at all bridge supports.
For clarity, all cells are assumed identical in terms of BS configurations, cell loading and ULD variation.
Complementary, finite element method (FEM) simulations were carried out, assuming identical conditions of the tetrapod arms corresponding to the in situ atomic force and scanning electron microscopy experiments.
