The Mechanism · Gated-generation receipt

gen-explain-maximum-likelihood-estimation-as-you-would-to-a-capa-e762

stable pending witness
2026-05-29 07:20:37 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain maximum likelihood estimation as you would to a capable student, in 3-4 sentences.
90 chars

Generation

Maximum likelihood estimation (MLE) is a method for finding the parameter values that make your observed data most probable. Imagine you have data and a model with unknown parameters—MLE asks "which parameter values would have made this specific data we actually observed the most likely to occur?" You find these values by writing down the likelihood function (the probability of seeing your data given different parameter values) and choosing the parameters that maximize it. For example, if you flip a coin 7 times and get 5 heads, MLE would estimate the probability of heads as 5/7, since that's the value that makes observing exactly 5 heads most likely.
28 tokens in · 140 tokens out · 4634 ms · $0.0022

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
4647.8 ms
Base LLM
4633.9 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0022

Trail

07:20:37 received prompt_chars=90 verifiers=['scripture_anchors', 'theology_doctrine']
07:20:37 red_gate decision=pass reason=no disqualifying input patterns detected
07:20:41 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=140 latency_ms=4633.9 cost_usd=0.0022
07:20:41 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:20:41 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:20:41 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:20:41 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:20:41 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:20:41 signed hash_algo=sha256 hash=sha256:0e4087d73e75fdd582befaeecbfb6fb56fbd76087e76593e49804a64c792a688

Content hash

sha256:0e4087d73e75fdd582befaeecbfb6fb56fbd76087e76593e49804a64c792a688

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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