Differential equations often give rise to rank-structured matrices characterized by low-rank off-diagonal blocks. These matrices can be conveniently represented in a hierarchical format, enabling ...

Abstract: High-resolution prestack inversion combining the well-logging and seismic data is a significant geophysical task and can be achieved by two kinds of stochastic inversion approaches, the ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Ensemble particle sizing has traditionally relied on inversion of extinction ...

Acoustic impedance (AI) inversion is widely used in geophysics and reservoir prediction. But the traditional impedance inversion method cannot fully exploit the sparse characteristics of geological ...

Mathematicians love a good puzzle. Even something as abstract as multiplying matrices (two-dimensional tables of numbers) can feel like a game when you try to find the most efficient way to do it.

Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, California90089, United States Article Views are the COUNTER-compliant sum of full text article ...

Many different approaches have been developed to regularise the time-lapse geoelectrical inverse problem. While their advantages and limitations have been demonstrated using synthetic models, there ...

Matrix completion is a fundamental problem in machine learning that arises in various applications. We envision that our infinite width neural network framework for matrix completion will be easily ...