Defined in tensorflow/contrib/metrics/python/ops/

Calculates Cohen's kappa.

Cohen's kappa is a statistic that measures inter-annotator agreement.

The cohen_kappa function calculates the confusion matrix, and creates three local variables to compute the Cohen's kappa: po, pe_row, and pe_col, which refer to the diagonal part, rows and columns totals of the confusion matrix, respectively. This value is ultimately returned as kappa, an idempotent operation that is calculated by

pe = (pe_row * pe_col) / N
k = (sum(po) - sum(pe)) / (N - sum(pe))

For estimation of the metric over a stream of data, the function creates an update_op operation that updates these variables and returns the kappa. update_op weights each prediction by the corresponding value in weights.

Class labels are expected to start at 0. E.g., if num_classes was three, then the possible labels would be [0, 1, 2].

If weights is None, weights default to 1. Use weights of 0 to mask values.

NOTE: Equivalent to sklearn.metrics.cohen_kappa_score, but the method doesn't support weighted matrix yet.


  • labels: 1-D Tensor of real labels for the classification task. Must be one of the following types: int16, int32, int64.
  • predictions_idx: 1-D Tensor of predicted class indices for a given classification. Must have the same type as labels.
  • num_classes: The possible number of labels.
  • weights: Optional Tensor whose shape matches predictions.
  • metrics_collections: An optional list of collections that kappa should be added to.
  • updates_collections: An optional list of collections that update_op should be added to.
  • name: An optional variable_scope name.


  • kappa: Scalar float Tensor representing the current Cohen's kappa.
  • update_op: Operation that increments po, pe_row and pe_col variables appropriately and whose value matches kappa.


  • ValueError: If num_classes is less than 2, or predictions and labels have mismatched shapes, or if weights is not None and its shape doesn't match predictions, or if either metrics_collections or updates_collections are not a list or tuple.
  • RuntimeError: If eager execution is enabled.