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Using certain known basis functions to capture the characteristics of unknown general periodic disturbances, the discontinuous projection type adaptation law can then be used to tune the amplitudes of those basis functions on-line to recover the unknown general periodic disturbances asymptotically.
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Bubble functions are included in the basis functions to improve the performance of the developed elements.
We fitted regression splines with step functions as basis functions to the time-ordered measurements.
We define this feature function to capture the events when g i is equally regulated.
We define this feature function to capture the events when g j is equally regulated.
The application of multiscale basis functions can capture the fine scale medium property variations, and allows us to greatly reduce the degrees of freedom that are required to implement the modeling compared with conventional finite-element method for wave equation, while restricting the error to low values.
SC learns basis functions that capture higher-level features in the data have given only unlabeled input data [36].
The obtained basis functions can capture the small scale features of the solution within a coarse-grid block and give us an accurate coarse-scale solution.
The principal components (PCs) in V provide a set of temporal basis functions that capture the principal modes of variation in the shape of the waveform across trials.
Our method is based on a mixed Galerkin type method with carefully designed basis functions that can capture various scales in the solution.
A fundamental element of the proposed framework is the projection of the cost-to-go function c ¯ on a set of basis functions capturing the typical substructures of the graph at various time scales.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com