Workflow of the analytical shear calibration for an ML-based shear estimator. Starting from a galaxy image, the ML model produces a raw shape estimate and corresponding model gradient via backpropagation. In parallel, the shear response of the resmoothed image is computed analytically at the pixel level using the expressions in Equation (13). The contraction of the model gradient with the pixel shear response yields the shear response matrix R_ij = ∂e_i/∂γ_j, which is then used to perform a linear calibration of the ML-based shape estimator. The calibrated shear is finally used to evaluate the residual calibration biases, quantified by the multiplicative and additive bias parameters m and c.