Why log loss penalizes a wrong 99% forecast so heavily
Log loss scores the probability assigned to the actual outcome. If Yes has probability p, the loss is −ln(p) when Yes occurs and −ln(1−p) when No occurs.
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What the primary record establishes
Log loss scores the probability assigned to the actual outcome. If Yes has probability p, the loss is −ln(p) when Yes occurs and −ln(1−p) when No occurs. Lower average loss indicates a better score. Gneiting and Raftery on proper scoring rules ↗
What the distinction changes
Suppose seven of ten outcomes are Yes. Two models always predict Yes, one at 70% and one at 99%. Both pick the winning side seven times, while their average log losses are about 0.611 and 1.389 respectively.
What to check before drawing a conclusion
Evaluate predictions captured before resolution at the same cutoff. An incorrect 0% or 100% forecast gives infinite theoretical loss. If probabilities are clipped for computation, define the limits consistently in advance. The score evaluates forecasts, while trading results additionally depend on prices and execution.
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Original WFN vector illustrationWFN · 6 November 2026
Editorial noteSource-based explanation with original WFN analysis. Historical records retain their dates; numerical examples are illustrative. The original vector illustration is conceptual and is not documentary evidence.
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Primary record / reference periodGneiting and Raftery on proper scoring rules
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01 · VERIFIED RECORD
What the primary record establishes
Log loss scores the probability assigned to the actual outcome. If Yes has probability p, the loss is −ln(p) when Yes occurs and −ln(1−p) when No occurs. Lower average loss indicates a better score. Gneiting and Raftery on proper scoring rules ↗
02 · WFN EDITORIAL ANALYSIS
What the distinction changes
Suppose seven of ten outcomes are Yes. Two models always predict Yes, one at 70% and one at 99%. Both pick the winning side seven times, while their average log losses are about 0.611 and 1.389 respectively.
03 · REVIEW POINTS
What to check before drawing a conclusion
Evaluate predictions captured before resolution at the same cutoff. An incorrect 0% or 100% forecast gives infinite theoretical loss. If probabilities are clipped for computation, define the limits consistently in advance. The score evaluates forecasts, while trading results additionally depend on prices and execution.