An inverse problem seeks an unknown from data related by a forward map . Small singular values of the forward map can amplify measurement noise and make direct inversion unstable.
The term "inverse problem" generally refers to a type of problem in various fields (such as mathematics, physics, engineering, and data science) where one aims to infer or reconstruct the inputs or causes from observed outputs or effects. Inverse problems contrast with "forward problems," where the relationship between inputs and outputs is known, and the goal is to predict the results of certain input conditions.
New to topics? Read the docs here!