The phrase "an effective dimension" is correct and usable in written English.
It can be used when discussing aspects or factors that contribute positively to a particular context or situation.
Example: "In our analysis, we identified an effective dimension that significantly enhances team collaboration."
Alternatives: "a valuable aspect" or "a beneficial factor."
It just corresponds to an effective dimension between 1D and 3D in the energy transfer process in the system.
In this research, ABC and kNN have been modified and bundled together to create an effective dimension reduction method.
However, few works focus on the category distributions across dimensions and construct an effective dimension ordering to enable the visual exploration of clusters.
Since D r,ω) is generally not an integer, it should not be identified as such with the actual physical dimensionality of the light [specified by Eqs. (4)–(6)], but as an effective dimension characterizing the intensity-distribution spread.
However, for high dimensional systems, a new family of the factor graphs are developed in order to achieve an effective dimension reduction and to facilitate a synergetic application together with multiple graphs in addressing the Bayesian data assimilation.
In recent years, PLS has also been found to be an effective dimension reduction technique for tumor discrimination [ 11, 12, 20], which denoted as Partial Least Squares based Dimension Reduction (PLSDR).
An improved version of the algorithm is then developed by incorporating an effective dimension-oriented intensification search to find solutions that are located near extreme solutions.
Indeed, the proposed model can be used as an effective dimensioning tool to quantify the amount of communication resources needed for the design of a federated cloud network.
This paper shows that the degree of redundancy can be effectively quantified by the concept of an "effective random dimension" (ERD), and it proposes a practical method of estimating ERD for reliability-based design.
As such the effective dimension of a pathway could be much smaller than the number of transcripts, and dimension reduction/variable selection techniques can help us find a representation of the pathway in this smaller, lower dimensional space.
I have one major objection: the effective dimension (ED) of a mixed model is less than the number of parameters (D), because shrinking takes place.
