Abstract: Highlights•Theoretical analysis shows that ignoring covariates may lead to poor harmonization.•Deep learning may hallucinate relationships between covariates and MRI measurements.•Proposed residual harmonization framework DeepResBat mitigates false positive issue.•DeepResBat outperforms classical mixed-effect and deep learning approaches.•Exhaustive evaluation on three large datasets with 10,085 anatomical T1 scans.
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