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5.0
20 reviewsDefinition: Inverse problems aim to determine unknown causes from observed effects, reversing the usual "forward" approach.
Key Examples:
Tomography (medical/seismic): Reconstruct internal structures from external measurements.
Scattering problems: Recover material properties from wave interactions.
Image deblurring: Enhance noisy or distorted images.
PDE parameter estimation: Identify coefficients in differential equations from data.
Mathematical Branches Involved:
Analysis (differential equations, integral operators)
Statistics (handling noise/uncertainty)
Numerical optimization (solution algorithms)
Mathematical physics (modeling underlying phenomena)
Applications: Geophysics, medical imaging, engineering, machine learning
