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A unified algebraic framework for classification performance evaluation
DOI:10.1016/j.inffus.2026.104767.png)
Abstract
En 中文
• Indicator matrices and aggregation operators unify classification evaluation.
• Any binary measure extends to multiclass, multilabel, ordinal and cost settings.
• Micro-macro aggregation equivalence is fully characterised and delimited.
• Product t-norm uniquely preserves marginals for soft-label classification.
• Confusion matrices span an orthogonal basis with m(m-1) degrees of freedom.
Keywords:
Classification performance measures
Multilabel classification
Evaluation framework
Micro-averaging
Macro-averaging
Cost-sensitive evaluation
Confusion matrix,
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4.2K
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