Definition of the cost function J‌ | ˜ Sample Clauses

Definition of the cost function J‌ | ˜. The fundamental principle of optimal estimation is to maximise the probability of the retrieved state conditional on the value of the measurements and any prior information. Formally, it is required to maximise the conditional probability P = P (x yΩΛ, xb, b) with respect to the values of the state vector x (Section 3.7), where xb is the prior value of the state vector (Section 4.2.1) and b are all the other elements of the radiative transfer, called forward model parameters (Section 3.7). The assumption is made that uncertainties in the measurements (Sy Equation 32), and prior (Sx Equation
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