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• The Magic, Madness, Heaven, Sin framework models output variation along a homogeneity-heterogeneity axis where valuation is determined by the task and its normative objective.method 95%
• The framework organizes tasks into four normative contexts: epistemic (factuality), interactional (user utility), societal (representation), and safety (robustness).method 95%
• Optimizing for one objective, such as improving safety, can inadvertently harm demographic representation or creative diversity.result 90%
• Output variation should be reframed as a property shaped by task objectives rather than a model's intrinsic trait.technical 90%
• Current terminology around LLM output diversity is fragmented because normative objectives underlying tasks are rarely made explicit.limitation 85%
• The framework examines failure modes such as hallucination, mode collapse, bias, and erasure through which variation is studied.method 85%
• Research on LLMs studies output variation across generation, reasoning, alignment, and representational analysis under the umbrella of 'diversity'.technical 80%

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