In this paper we explore minimum odd and minimum even depth sub- algebra pairs in the context of double cross products of finite dimensional Hopf algebras. We start by defining factorization algebras and outline how subring ...

Plant rooting depth affects ecosystem resilience to environmental stress such as drought. Deep roots connect deep soil/groundwater to the atmosphere, thus influencing the hydrologic cycle and climate. Deep roots enhance ...

We present a generalized approach to obtain improved Raman intensity profiles from in-depth studies performed by confocal Raman microspectroscopy (CRM) with dry objectives. The approach is based on regularized deconvolution ...

We calculate well-resolved corner frequencies and radiated energies for a set of 96 earthquakes divided into two clusters located in the same tectonic setting but with different depths in northern Chile. Fifty-three shallow ...

In this paper, we propose a novel approach to address the problem of functional outlier detection. Our method leverages a low-dimensional and stable representation of functions using Reproducing Kernel Hilbert Spaces ...

In this work, we test simple models proposed to predict two characteristic features when performing depth profiling with dry-optics confocal Raman microspectroscopy (CRM): the decay in the collected intensity and the ...

We introduce the Integrated Dual Local Depth, which is a local depth measure for data in a Banach space based on the use of one-dimensional projections. The properties of a depth measure are analyzed under this setting and ...

In depth map generation, the settings of the algorithm parameters to yield an accurate disparity estimation are usually chosen empirically or based on unplanned experiments -- A structured statistical approach including ...

The present paper explores the implementation of the RRT* path planning algorithm aided with a depth sensor in a physical robot for path planning and re-planning in a partially-known or unknown environment, the robot is ...