Least squares migration (LSM) is applied to 3-D synthetic data in order to test the feasibility of removing the ”recording footprint” noise from migrated sections. The LSM algorithm is implemented with a conjugate gradient algorithm. Results for simple point scatterer and meandering stream channel models suggest that LSM can significantly attenuate the recording footprint noise. For comparison,...

Estimating the relative importance of vertices and edges is a fundamental issue in the analysis of complex networks, and has found vast applications in various aspects, such as social networks, power grids, and biological networks. Most previous work focuses on metrics of vertex importance and methods for identifying powerful vertices, while related work for edges is much lesser, especially for...

In this paper, I present a modification of the Beylkin inversion operator. This modification accounts for the band-limited nature of the data and makes the role of discontinuities in the sound speed more precise. The inversion presented here partially dispenses with the small-parameter constraint of the Born approximation. This is shown by applying the proposed inversion operator to upward scat...

We introduce write{eecient memories (WEM) as a new model for storing and updating information on a rewritable medium. There is a cost ' : X X ! R 1 assigned to changes of letters.

‎Using Nehari manifold methods and Mountain pass theorem‎, ‎the existence of nontrivial and radially symmetric solutions for a class of $p$-Kirchhoff-type system are established.