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We observed that this issue chiefly arises when the analyzed catalogs contain large aftershock sequences and the background activity is such that a low smoothness parameter is needed.
Using a low smoothness parameter (tau) further adds to the flexibility allowed by closely spaced knots and therefore can cause local overfitting which results in spurious bumps.
With our approach, we obtain low smoothness energies at all pixels, and the ground truth (red, Fig. 2 e) has lower energy than the piecewise fronto-parallel assignments (green, Fig. 2 f).
Analysis of properties and dynamics of solutions of RODEs may be performed pathwise by standard analysis techniques, bearing in mind that the low smoothness of the solutions limits the applicability of many classical results, such as Taylor's theorem.
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Through the novel use of a linear combination of the low order smoothness indicators already present in the framework of WENO-JS, a new smoothness indicator of higher order is devised and new non-oscillatory weights are built, providing a new WENO scheme (WENO-Z) with less dissipation and higher resolution than the classical WENO.
They have recently been shown to be an efficient tool to solve correlation equations with rough data correlations, that is, with low Sobolev smoothness or small correlation length, in almost linear time.
Of course, hardcore driving enthusiasts will want the do-it-yourself standard six-speed manual transmission, but the eight-speed auto provides all the paddle-shifted tactile control they could want, with added low-speed smoothness and refinement.
Mr. Kieffer has an extraordinary ability to move with pantherlike smoothness from low rolls and crouches to sudden levitating jumps, often propelled off the bench on which he first sits, and sometimes ricocheting off a wall.
To our best knowledge, this is the only method satisfying all the three semi-supervised assumptions, namely smoothness, cluster (low density) and manifold.
Our regularizer is designed and developed based on local topology, which is represented by local neighbors from the local smoothness, cluster (low density) and manifold information point of view.
The roughness parameters for the bare metal specimen were very low due to the smoothness of the surface when compared to the blank specimen, which was in continuous reaction with the aggressive medium.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com