Equation 6 · How Do We Know a Compressed Model Still Works?
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accuracy, or another per-task quality measure, on task i. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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subscript
subscript
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What the article says around this equation
where is accuracy, or another per-task quality measure, on task i , and is that task’s share of the total, with the weights summing to one. The arithmetic makes the trap explicit: S can be almost unchanged by compression even when some single collapses, provided for that task is small relative to the rest, or provided a rise elsewhere offsets the fall. A single published number, ninety-eight point six percent of baseline, or a small perplexity increase, cannot by construction distinguish “compression cost nothing” from “compression cost a great deal on one task nobody weighted heavily.” Both produce the same S .
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