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Label Pair Confusion Table

Build an occurrence-count multiclass confusion table over explicit actual/predicted label observations with a caller-ordered complete label universe; unknown labels reject, no identity coercion.

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Description

Build an occurrence-count multiclass confusion table over explicit actual/predicted label observations with a caller-ordered complete label universe; unknown labels reject, no identity coercion.

A confusion table uses actual labels as rows and predicted labels as columns. Cells can contain occurrence counts or supplied nonnegative weights; the axis label order must stay with the matrix. Row, column and joint normalization have different denominators, and a zero denominator needs an explicit undefined result.

Build an occurrence-count multiclass confusion table over explicit actual/predicted label observations with a caller-ordered complete label universe; unknown labels reject, no identity coercion.

When to use this tool

Use this tool to build an occurrence-count multiclass confusion table over explicit actual/predicted label observations with a caller-ordered complete label universe; unknown labels reject, no identity coercion.

How to use the tool and how it works

  1. Enter actual, predicted, labels using the input definitions below.
  2. Run the operation. Resolve malformed-input errors before interpreting the result.
  3. Read result.labels, result.matrix. Interpret signs, units, ordering and null values using the rules below.

Require aligned actual/predicted lists and distinct labels containing every observation. Add one per pair to matrix[actualIndex][predictedIndex], keeping supplied axis order.1

Input fieldMeaning and unitsAccepted input
actualActual label strings, aligned with predicted and optional weights.Dense list of at most 128 strings, each at most 8,192 UTF-16 code units.
predictedPredicted label strings, aligned with actual.Dense list of at most 128 strings, each at most 8,192 UTF-16 code units.
labelsDistinct label strings defining actual row and predicted column order; score tools require at least one label.Dense list of at most 128 strings, each at most 8,192 UTF-16 code units.
Output fieldInterpretation
resultObject containing the fields below.
result.labelsLabel order for both axes of the returned matrix.
result.matrixReturned nonnegative actual-row/predicted-column table.
json
{
  "input": {
    "actual": [
      "a",
      "a",
      "a",
      "b"
    ],
    "predicted": [
      "a",
      "a",
      "b",
      "b"
    ],
    "labels": [
      "a",
      "b"
    ]
  },
  "output": {
    "result": {
      "labels": [
        "a",
        "b"
      ],
      "matrix": [
        [
          2,
          1
        ],
        [
          0,
          1
        ]
      ]
    }
  }
}

Limitations and assumptions

  • Every occurrence counts separately; this does not infer sample identity, weighting, calibration or statistical uncertainty.
  • Label strings are compared exactly. Confusion values may be nonnegative fractional weights; a count interpretation requires count data. Probability-like score rows use [0,1] entries with sum tolerance 10⁻⁸, without establishing calibration.
  • Every declared top-level input is required and unknown fields are rejected. Ordinary strings are limited to 8,192 UTF-16 code units and lists to 128 entries, with tighter operation-specific bounds where stated. JSON text has bounded nesting and node counts.
  • Numeric outputs must be finite and within the absolute safe-integer magnitude; exact larger integers use decimal text. Source positions are zero-based UTF-16 offsets and span ends are exclusive unless a different convention is explicitly stated.

Alternative or Complementary methods

Check label coverage and axis order before comparing tables. Use a separate evaluation design for uncertainty, calibration, operating thresholds and the consequences of real-world decisions.

References

  1. Tool behavior and example: Label Pair Confusion Table — tool.io

Similar or alternative tools

  • Weighted Label Pair Confusion Table

    Build a weighted multiclass confusion table from aligned actual/predicted observations and nonnegative supplied weights; zero weights retained as evidence, no probability inference.

  • Confusion Label Axis Reorder

    Reorder both axes by a complete explicit label permutation without changing counts or label identity.