Equation 4 · Part 8 · The Safeguards Behind a Claude Refusal, and What They're Actually Trading Off
subscript
subscript
What this part means
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
Its job in the formula
A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.
Full expression→subscript→Article meaning
The passage around this formula
That first version cost real computation: 23.7% more inference compute than running the model alone, and a 0.38 percentage-point increase in refusals on ordinary, harmless traffic [ 4 ] . Anthropic’s January 2026 follow-up redesigned the system around a two-stage cascade rather than a single classifier pass: a lightweight probe reads the language model’s own internal activations and screens every exchange cheaply, escalating only the fraction it flags to a slower, more capable classifier that reviews the input and output together [ 1 ] . If is the near-free cost of the first pass and the much larger cost of the second, and is the fraction…
Learn the underlying idea
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
Open the illustrated subscripts: which member of a family? guide →
Sources cited in the surrounding passage
- [4] Constitutional Classifiers: Defending Against Universal Jailbreaks across Thousands of Hours of Red Teaming ↗
- [1] Next-Generation Constitutional Classifiers: More Efficient Protection Against Universal Jailbreaks ↗
These citations provide research context; check each source for the exact claim it supports.