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Abstract #3575

Conditional Least Squares Estimation of Diffusion MRI Parameters

Jelle Veraart1, Sofie Van Cauter2, Stefan Sunaert2, Jan Sijbers1

1University of Antwerp, Antwerp, Belgium; 2Department of Radiology, University Hospitals of Leuven, Leuven, Belgium

Many diffusion models require highly diffusion-weighted images, which suffer from low signal-to-noise ratio, eddy current distortions, and subject motion. Prior to diffusion model fitting, those distortions should be corrected; That data correction alters the underlying Rician data distribution. Therefore, previously proposed methods remove the Rician bias might be suboptimal. We propose a conditional least squares estimator (CLS), which is from theoretically an equivalent to the maximum likelihood estimator (MLE). However, the CLS remains, unlike the MLE, in well-defined cases unbiased after data correction as it can rely on the linearity of the expectation operator in high SNR and homogeneous regions.