Equation 8 · Part 1 · The Hardest Unsolved Problems in Open-Weight AI
Symbol q
What this part means
the probability.
Its job in the formula
q is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol q→Article meaning
Where the article explains it
If N copies exist and each copyholder independently retains theirs with probability q close to one, the probability that every single copy is eventually deleted or brought back under control is , so the probability that at least one copy survives indefinitely is P() = 1 - .
The passage around this formula
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 ] .
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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Sources cited in the article section
- [15] Runaway LLaMA: How Meta's LLaMA NLP Model Leaked ↗
- [3] Securing AI Model Weights: Preventing Theft and Misuse of Frontier Models ↗
- [1] Our Position on Open-Weights Models ↗
- [5] LoRA Fine-tuning Efficiently Undoes Safety Training in Llama 2-Chat 70B ↗
These citations provide research context; check each source for the exact claim it supports.