What mathematicians, scientists, engineers, and statisticians mean by \inverse problem" diiers. For a statistician, an inverse problem is an inference or estimation problem. The data are nite in number and contain errors, as they do in classical estimation or inference problems, and the unknown typically is innnite-dimensional, as it is in nonparametric regression. The additional complication i...

Short proofs are given to various characterizations of the (circum-)Euclidean squared distance matrices. Linear preserver problems related to these matrices are discussed.

In the paper an attempt to legalize the use of Ward and related clustering methods also for dissimilarities different from squared Euclidean distance is presented.

What mathematicians, scientists, engineers, and statisticians mean by \inverse problem" di ers. For a statistician, an inverse problem is an inference or estimation problem. The data are nite in number and contain errors, as they do in classical estimation or inference problems, and the unknown typically is in nite-dimensional, as it is in nonparametric regression. The additional complication i...

In this paper, we propose a path planning method for the localization of radiation sources using mobile robot equipped with an imaging gamma-ray detector, which has field view in all directions. The ability to detect and localize is essential ensuring nuclear safety, security, surveillance. To enable autonomous sources, must have automatically determine next location gamma ray measurement inste...

This paper investigates the potentials and limitations of a simple dual-baseline PolInSAR (DBPI) method for forest height inversion. This DBPI method follows the classical three-stage inversion method’s idea used in single baseline PolInSAR (SBPI) inversion, but it avoids the assumption of the smallest ground-to-volume amplitude ratio (GVR) by employing an additional baseline to constrain the i...

Context: In vivo scapular kinematics during humeral movements are commonly assessed with electromagnetic tracking devices despite few published data related to reliability and precision of these measurements. Objective: To determine the intrasession reliability and precision of assessing scapular kinematics using an electromagnetic tracking device. Design: Scapular position and orientation were...

Applications in data science, shape analysis, and object classification frequently require comparison of probability distributions defined on different ambient spaces. To accomplish this, one requires a notion distance given class metric measure spaces—that is, compact spaces endowed with measures. Such distances are typically as comparisons between space invariants, such (also referred to dist...