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Token Logit Scaling Gap Tool

Inspect one explicit temperature-scaled logit; no probability normalization or model call.

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Description

Check one temperature-scaled logit against a supplied reference.

Language-model bookkeeping separates scores, probabilities, dimensions, capacity and positional transforms. A local ranking, padding or coordinate operation can illustrate a model component without running a model, sampling a token, fitting calibration or demonstrating output quality.

Check one temperature-scaled logit against a supplied reference.

When to use this tool

Use Token Logit Scaling Gap when checking the stated model-dimension, ranking, probability-prefix or local transform convention.

How to use the tool and how it works

  1. Enter logit, temperature, suppliedScaledLogit. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read scaledLogit, residual. Use the output convention below.

Check one temperature-scaled logit against a supplied reference. Require temperature > 0; scaledLogit = logit/temperature, residual = suppliedScaledLogit-scaledLogit.1

Input fieldMeaning and unitsAccepted input
logitLogitRequired. Finite number.
temperatureTemperatureRequired. Finite number; strictly above 0.
suppliedScaledLogitSupplied Scaled LogitRequired. Finite number.
Output fieldInterpretationReturned shape
scaledLogitScaled LogitRequired. Finite number.
residualSigned difference in the direction stated above, with matching units.Required. Finite number.
json
{
  "input": {
    "logit": 6,
    "temperature": 2,
    "suppliedScaledLogit": 2.5
  },
  "output": {
    "scaledLogit": 3,
    "residual": -0.5
  }
}

Limitations and assumptions

  • This does not apply softmax, fit temperature calibration, sample tokens or execute a model.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use a complete implementation with verified tensor/token conventions and appropriate model evaluation when actual inference, memory, sampling or quality results are required.

References

  1. Calculation and input contract: artificial-intelligence/token-logit-scaling-gap — tool.io

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