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MATHplus-Young-Academy/P3-Morph-Scoring

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Morphological Scoring of Disease States

Many diseases are known to be connected to pathological changes in shape of anatomical organs. One prominent example is the neuro-degenerative Alzheimer's disease that we will focus upon during the hackathon.

P3_intro_slide00

Shapes can be represented in Riemannian shape spaces, we aim to obtain a classifier system that takes the non-Euclidean structure of shape spaces into account. The statistical shape model based approach Ambellan et al. 2021 (arxiv) will serve as a starting point. Possible extensions include different metrics (e.g. Log-Cholesky), advanced Riemannian mean-variance analysis, robust estimators for centrality (e.g. med-ian), and intrinsic machine learning approaches (e.g. manifold support vector machine). However, the project is open to your ideas and whatever serves the purpose.

P3_intro_slide01

Possible points to start at

In advance it might be worth grasping some additional information:

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