Generative Modeling of Complex-Valued Brain MRI Data
Marco Schlimbach, Moritz Rempe, Jessica Mnischek, Lukas T. Rotkopf, Jens Weingarten, Jens Kleesiek, Kevin Kr\"oninger

TL;DR
This paper introduces a generative model that jointly captures magnitude and phase information in complex-valued brain MRI data, improving synthetic data quality and diagnostic classification performance.
Contribution
It presents a novel framework combining a variational autoencoder and flow-matching model to preserve phase coherence and generate realistic MRI data.
Findings
Generated samples are nearly indistinguishable from real data.
Synthetic data-trained classifiers outperform real-data baselines in abnormal tissue detection.
Framework enables joint modeling of magnitude and phase for improved MRI analysis.
Abstract
Objective. Standard Magnetic Resonance Imaging (MRI) reconstruction pipelines discard phase information captured during acquisition, despite evidence that it encodes tissue properties relevant to tumor diagnosis. Current machine learning approaches inherit this limitation by operating exclusively on reconstructed magnitude images. The aim of this study is to build a generative framework which is capable of jointly modeling magnitude and phase information of complex-valued MRI scans. Approach. The proposed generative framework combines a conditional variational autoencoder, which compresses complex-valued MRI scans into compact latent representations while preserving phase coherence, with a flow-matching-based generative model. Synthetic sample quality is assessed via a real-versus-synthetic classifier and by training downstream classifiers on synthetic data for abnormal tissue…
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