The phrase "adaptive basis" is correct and usable in written English.
It can be used in contexts discussing flexibility, adjustment, or responsiveness in various fields such as psychology, biology, or technology.
Example: "The adaptive basis of the organism allows it to thrive in changing environments."
Alternatives: "flexible foundation" or "responsive framework".
In fact, social cohesion most likely was a force for the adaptive basis of music in early humans.
Further, the accuracy of the developed technique is significantly enhanced via the use of an adaptive basis re-weighting procedure.
Overall, the adaptive BasIS system demonstrates to be a robust and suitable computational approach for the intelligent recognition of activities of daily living using wearable sensors.
A key contribution to stability is the use of a presented correction sampling for coherence-optimal sampling in order to improve stability and accuracy within the adaptive basis scheme.
To overcome this difficulty, we introduce an algorithm, which we call "adaptive basis algorithm".
This estimation problem involves the minimization of a highly nonconvex cost function, and is solved using the proposed adaptive basis algorithm.
SSA is a technique, similar to empirical orthogonal functions employed in spatial analysis, that uses data-adaptive basis functions to separate a time series into statistically independent components that maximize the variability that each basis function describes20.
Given a series of length N, and a maximum lag M, the eigenvectors are data-adaptive basis functions for the representation of the series and are called empirical orthogonal functions (EOFs), by analogy with the PC analysis of meteorological fields.
We design a manufactured solution and demonstrate that the adaptive-basis optimization algorithm reduces the need for regularization.
There we find that our adaptive-basis, fixed-quadrature algorithm uses less regularization than alternatives, although differences in the resulting numerical simulations are more sensitive to the regularization strategy than to the choice of basis.
We quantify the accuracy of the Hellmann Feynman forces for a range of physical systems, benchmarked against converged planewave calculations, and find that the adaptive local basis set is efficient for both force and energy calculations, requiring at most a few tens of basis functions per atom to attain accuracies required in practice.
