Understanding how different areas of the human brain communicate with each other is a
crucial issue in neuroscience. The concepts of structural, functional and effective …

Monte Carlo inversion techniques were first used by Earth scientists more than 30 years
ago. Since that time they have been applied to a wide range of problems, from the inversion …

Abstract The Earth Magnetic Anomaly Grid at 2 arc min resolution version 3, EMAG2v3,
combines marine and airborne trackline observations, satellite data, and magnetic …

Seismic tomography has been a vital tool in probing the Earth's internal structure and
enhancing our knowledge of dynamical processes in the Earth's crust and mantle. While …

Inverse problems are ubiquitous in nature, arising in almost all areas of science and
engineering ranging from geophysics and climate science to astrophysics and …

As human activity and environmental change come to be increasingly recognized as
intertwined phenomena on a rapidly urbanizing planet, the field of urban ecology has risen …

Earth observation from satellite sensory data poses challenging problems, where machine
learning is currently a key player. In recent years, Gaussian Process (GP) regression has …

This paper analyses the computational issues of full 3-D tomography, in which the starting
model as well as the model perturbation is 3-D and the sensitivity (Fréchet) kernels are …

In this paper, a parametric level set method for reconstruction of obstacles in general inverse
problems is considered. General evolution equations for the reconstruction of unknown …

Abstract The Moore–Penrose inverse celebrated its 100th birthday in 2020, as the notion
standing behind the term was first defined by Eliakim Hastings Moore in 1920 (Bull Am Math …