Symbol L_m
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Read this term in its guide →Published equation contexts
Why this formula appears here
A catalogue is not a plan, and these ten differ enormously in how much damage accrues before anyone notices. For a mode m with arrival rate , mean time to detection , and cost per undetected instance , the loss accrued before intervention is approximately . and instrumentation is worth exactly what it removes from . Written this way, frequency stops being the right proxy for priority, because detection latency varies by orders of magnitude across this list while arrival rate and unit cost vary far less.
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Symbol lambda_m
lambd is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Read this term in its guide →Symbol tau_m
ta is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Read this term in its guide →Symbol m
m is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Read this term in its guide →How to interpret it
Its accuracy depends on the assumptions and range of use described in the article.
Published contexts (2)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 5 · Foundation Models
Ten Failure Modes That Define Production Claude Deployments
This equation gives an approximation: it relates the quantities while allowing an approximation.
A catalogue is not a plan, and these ten differ enormously in how much damage accrues before anyone notices. For a mode m with arrival rate , mean time to detection , and cost per undetected instance , the loss accrued before intervention is approximately . and instrumentation is worth exactly what it removes from . Written this way, frequency stops being the right proxy for priority, because detection latency varies by orders of magnitude across this list while arrival rate and unit cost vary far less.
Equation guide → · Article →Equation 5 · Foundation Models
Ten Failure Modes of Deployed Language Models, from Silent Truncation to Version Drift
This equation gives an approximation: it relates the quantities while allowing an approximation.
The useful ordering is by expected loss. For a mode m with arrival rate , mean time to detection , and cost per undetected instance , the loss accrued before anyone intervenes is approximately . and the marginal value of instrumentation is whatever it removes from . Written this way the ranking changes sharply from intuition, because varies over several orders of magnitude across the list while and vary by much less. Detection latency, not frequency or severity, is what dominates.
Equation guide → · Article →