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Biometric Detection Error One Operating Point Tool

Calculate biometric detection error one operating point from explicit caller-supplied inputs.

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Description

Return false-accept/reject rates and expected error cost at one point.

Biometric scores depend on matcher version, score direction, acquisition handling and an explicit operating threshold. Score transformations and observed error fractions are different from identity verification; equality, quantization and excluded attempts can change the local reported result.

Return false-accept/reject rates and expected error cost at one point.

When to use this tool

Use Biometric Detection Error One Operating Point when checking the stated biometric score, threshold, reporting precision or error-denominator convention.

How to use the tool and how it works

  1. Enter falseAccepts, impostorAttempts, falseRejects, genuineAttempts, priorImpostor, falseAcceptCost, falseRejectCost. 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 far, frr, weightedCost. Use the output convention below.

Return false-accept/reject rates and expected error cost at one point. Require bounded whole error/attempt counts, priorImpostor in [0,1] and nonnegative costs; weightedCost = prior*acceptCost*FAR+(1-prior)*rejectCost*FRR.1

Input fieldMeaning and unitsAccepted input
falseAcceptsFalse AcceptsRequired. Safe integer; minimum 0.
impostorAttemptsImpostor AttemptsRequired. Safe integer; minimum 1.
falseRejectsFalse RejectsRequired. Safe integer; minimum 0.
genuineAttemptsGenuine AttemptsRequired. Safe integer; minimum 1.
priorImpostorPrior ImpostorRequired. Finite number; minimum 0; maximum 1.
falseAcceptCostFalse Accept CostRequired. Finite number; minimum 0.
falseRejectCostFalse Reject CostRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
farFarRequired. Finite number.
frrFrrRequired. Finite number.
weightedCostWeighted CostRequired. Finite number.
json
{
  "input": {
    "falseAccepts": 2,
    "impostorAttempts": 1000,
    "falseRejects": 5,
    "genuineAttempts": 100,
    "priorImpostor": 0.1,
    "falseAcceptCost": 10,
    "falseRejectCost": 1
  },
  "output": {
    "far": 0.002,
    "frr": 0.05,
    "weightedCost": 0.047
  }
}

Limitations and assumptions

  • No operating-point optimization, error tradeoff curve, uncertainty, identity verification or appropriate cost/prior choice is provided.
  • 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

Evaluate a validated matcher on relevant complete data with explicit acquisition/exclusion and threshold policies; assess uncertainty, privacy and fairness independently.

References

  1. Calculation and input contract: biometrics/biometric-detection-error-one-operating-point — tool.io

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