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Top K Tie Slot Budget Tool

Calculate top k tie slot budget from explicit caller-supplied inputs.

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Description

Return remaining top-k slots within a score tie.

Classification scores rank labels or locate a prediction relative to a chosen decision boundary. Raw scores and logits need not be calibrated probabilities; exact ties, score direction and inclusion of boundary values are separate policy choices that can change the reported decision.

Return remaining top-k slots within a score tie.

When to use this tool

Use Top K Tie Slot Budget when checking the stated score comparison, tie or decision-band policy.

How to use the tool and how it works

  1. Enter k, strictlyHigher, tied. 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 remainingSlots, tieCredit. Use the output convention below.

Return remaining top-k slots within a score tie. Require whole k >= 1, strictlyHigher >= 0 and tied >= 1; remainingSlots = clamp(k-strictlyHigher,0,tied), tieCredit = slots/tied.1

Input fieldMeaning and unitsAccepted input
kKRequired. Safe integer; minimum 1.
strictlyHigherStrictly HigherRequired. Safe integer; minimum 0.
tiedTiedRequired. Safe integer; minimum 1.
Output fieldInterpretationReturned shape
remainingSlotsRemaining SlotsRequired. Safe integer.
tieCreditTie CreditRequired. Finite number.
json
{
  "input": {
    "k": 3,
    "strictlyHigher": 2,
    "tied": 4
  },
  "output": {
    "remainingSlots": 1,
    "tieCredit": 0.25
  }
}

Limitations and assumptions

  • Tie credit is a uniform bookkeeping fraction, not an implemented random selection or a ranking-quality estimate.
  • 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 evaluation dataset and an explicit decision policy to assess performance; fit and validate calibration separately when a probability interpretation is required.

References

  1. Calculation and input contract: classification/top-k-tie-slot-budget — tool.io

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