Inverse Problems

Inverse Problems

An inverse problem is a general framework that is used to convert observed measurements into information about a physical object or system that we are interested in. For example, if we have measurements of the Earth's gravity field, then we might ask the question: "given the data that we have available, what can we say about the density distribution of the Earth in that area?" The solution to this problem (i.e. the density distribution that best matches the data) is useful because it generally tells us something about a physical parameter that we cannot directly observe. Thus, inverse problems are some of the most important and well-studied mathematical problems in science and mathematics. Inverse problems arise in many branches of science and mathematics, including computer vision, natural language processing, machine learning, statistics, statistical inference, geophysics, medical imaging (such as computed axial tomography and EEG/ERP), remote sensing, ocean acoustic tomography, nondestructive testing, astronomy, physics and many other fields.

Read more about Inverse ProblemsHistory, Conceptual Understanding, General Statement of The Problem, Linear Inverse Problems, Non-linear Inverse Problems, Mathematical Considerations, Inverse Problems Societies

Other articles related to "inverse problems, problem, problems":

Topological Derivative - Applications - Inverse Problems
... It allows to detect and locate cracks for a simple model problem the steady-state heat equation with the heat flux imposed and the temperature measured on the boundary ...
Inverse Problems Societies
... Inverse Problems International Association Finnish Inverse Problems Society. ...
Victor Isakov
... is a mathematician working in the field of inverse problems for partial differential equations and related topics (potential theory, uniqueness of continuation and Carleman ... His areas of professional interest include Inverse problems of gravimetry (general uniqueness conditions and local solvability theorems) and related problems of imaging including ... Inverse problems of conductivity (uniqueness of discontinuous conductivity and numerical methods) and their applications to medical imaging and nondestructive testing of ...
Albert Tarantola - Notable Publications - Scientific Articles
... "Inverse Problems = Quest for Information" (PDF) ... "Generalized Nonlinear Inverse Problems Solved Using the Least Squares Criterion" (PDF) ... "Monte Carlo Sampling of Solutions to Inverse Problems" (PDF) ...

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