Symbol P
P is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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Why this formula appears here
This is a deliberately simplified model — real retention decisions are not independent, and q is not a single fixed number — but it isolates the right variable. Because copying an already-downloaded checkpoint costs approximately nothing, N grows with every re-share, and P() climbs toward one almost as soon as distribution starts, for any q short of certainty. This is a restatement, in one line of algebra, of what NTIA’s 2024 report and RAND’s 2024 report both conclude in prose: monitoring and mitigation are the available tools, and recall is not among them [ 2 , 3 ] .
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Equation 7 · Open Models
The Hardest Unsolved Problems in Open-Weight AI
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
This is a deliberately simplified model — real retention decisions are not independent, and q is not a single fixed number — but it isolates the right variable. Because copying an already-downloaded checkpoint costs approximately nothing, N grows with every re-share, and P() climbs toward one almost as soon as distribution starts, for any q short of certainty. This is a restatement, in one line of algebra, of what NTIA’s 2024 report and RAND’s 2024 report both conclude in prose: monitoring and mitigation are the available tools, and recall is not among them [ 2 , 3 ] .
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