The Mechanism · Gated-generation receipt

gen-explain-cross-entropy-as-you-would-to-a-capable-student-in-3-b585

stable pending witness
2026-05-29 07:16:48 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain cross-entropy as you would to a capable student, in 3-4 sentences.
74 chars

Generation

Cross-entropy measures how well a predicted probability distribution matches the true distribution of your data. If you're training a classifier, it penalizes confident wrong predictions heavily—for instance, predicting 99% probability for the wrong class costs you much more than predicting 51%. Mathematically, it's the negative sum of true probabilities times the log of predicted probabilities: -Σ y_i log(ŷ_i). Minimizing cross-entropy during training effectively teaches your model to assign high probabilities to the correct answers.
28 tokens in · 119 tokens out · 5828 ms · $0.0019

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
5834.5 ms
Base LLM
5828.0 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0019

Trail

07:16:48 received prompt_chars=74 verifiers=['scripture_anchors', 'theology_doctrine']
07:16:48 red_gate decision=pass reason=no disqualifying input patterns detected
07:16:54 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=119 latency_ms=5828.0 cost_usd=0.0019
07:16:54 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:16:54 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:16:54 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:16:54 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:16:54 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:16:54 signed hash_algo=sha256 hash=sha256:fd4e68f36748c18c3b264f431bd8d297dc809552aec95fc89b98678fa260c640

Content hash

sha256:fd4e68f36748c18c3b264f431bd8d297dc809552aec95fc89b98678fa260c640

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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