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docs/source/methodological_framework.rst

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Methodological Framework
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=========================
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This document describes the methodological decisions and theoretical considerations underlying the ``clusx`` implementation. It explains how key algorithms are implemented, why specific approaches were chosen, and their academic foundations.
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This document describes the methodological decisions and theoretical considerations underlying the Clusterium implementation. It explains how key algorithms are implemented, why specific approaches were chosen, and their academic foundations.
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Evaluation methodology
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----------------------
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This section documents the methodological considerations behind the evaluation metrics implemented in ``clusx``.
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This section documents the methodological considerations behind the evaluation metrics implemented in Clusterium.
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Silhouette Score Calculation
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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**Our approach:**
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Rather than returning a zero score when any singleton clusters exist (which would effectively discard valuable information about well-formed clusters), ``clusx`` implements a more nuanced
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Rather than returning a zero score when any singleton clusters exist (which would effectively discard valuable information about well-formed clusters), Clusterium implements a more nuanced
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approach that:
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1. Identifies valid clusters (those with ≥2 samples)
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Without filtering, the silhouette score would be zero because of the singleton cluster.
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With filtering, ``clusx`` would:
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With filtering, Clusterium would:
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1. Identify the 2 valid clusters (Cluster 1 and Cluster 3)
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2. Filter the samples to include only those in valid clusters

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