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Proteins are highly flexible macromolecules and the ability to adapt their shape is fundamental to many functional properties. While a single, 'static' protein structure can be predicted at high accuracy, current methods are severely limited at predicting structural flexibility. A major factor limiting such predictions is the scarcity of suitable training data. Here, we focus on the functionally important antibody CDRs and related loop motifs. We implement a strategy to create a large dataset of evidence for conformational flexibility and develop AbFlex, a method able to predict CDR flexibility with high accuracy.