Multiclass classification models predict one class from more than two potential classes. In Arthur, these models fall into the category of classification and are represented by the Multiclass model type.

Some common examples of Tabular multiclass classification are:

What breed of dog is in this photo?
What part of the car is damaged in this photo?

Similar to binary classification, these models frequently output not only the predicted class but also a probability for each class predicted. The highest probability class is then the predicted output. In these cases, a threshold does not need to be provided to Arthur and it will automatically track the highest probability class as the predicted output.

Formatted Data in Arthur

Tabular binary classification models require three things to be specified in their schema: all predicting model attributes (or features), predicted probability of outputs, and a column for the inference's true label (or ground truth). Many teams also choose to onboard metadata for the model (i.e. any information you want to track about your inferences) as non-input attributes.

Attribute (numeric or categorical)	Attribute (numeric or categorical)	Probability of Prediction A	Probability of Prediction B	Probability of Prediction C	Ground Truth	Non-Input Attribute (numeric or categorical)
High School Education	34.5	.90	.05	.05	A	Male
Graduate Degree	44.1	.46	.14	.40	B	Female
Graduate Degree	33.5	.16	.17	.71	C	Female

Predict Function and Mapping

These are some examples of common values teams need to onboard for their multi-class classification models.

The relationship between the prediction and ground truth column must be defined to help set up your Arthur environment to calculate default performance metrics. There are 2 options for formatting this, depending on your reference dataset. Additionally, if teams wish to enable explainability, they must provide a few Assets Required For Explainability. Below is an example of the runnable predict function, which outputs a single numeric prediction.

## Option 1:  Multiple Prediction Columns, Single Ground Truth Column
# Map each PredictedValue attribute to its corresponding GroundTruth value.
output_mapping_1 = {
  'pred_class_one_column':'one',
  'pred_class_two_column':'two',
  'pred_class_three_column':'three'} 

# Build Arthur Model with this Technique 
arthur_model.build(reference_data,
                   ground_truth_column='ground_truth',
                   pred_to_ground_truth_map=output_mapping_1
                   )

## Option 2:  Multiple Prediction and Ground Truth Columns
# Map each PredictedValue attribute to its corresponding GroundTruth attribute.
output_mapping_2 = {
  'pred_class_one_column':'gt_class_one_column',
  'pred_class_two_column':'gt_class_two_column',
  'pred_class_three_column':'gt_class_three_column'} 

# Build Arthur Model with this Technique 
arthur_model.build(reference_data,
                   pred_to_ground_truth_map=output_mapping_2
                  )

## Example prediction function for classification

def predict(x):
  return model.predict_proba(x)

Available Metrics

When onboarding multiclass classification models, you have a number of default metrics available to you within the UI. You can learn more about each specific metric in the metrics section of the documentation.

Out-of-the-Box Metrics

The following metrics are automatically available in the UI (out-of-the-box) per class when teams onboard a multiclass classification model. Find out more about these metrics in the Performance Metrics section.

Metric	Metric Type
Accuracy Rate	Performance
Balanced Accuracy Rate	Performance
AUC	Performance
Recall	Performance
Precision	Performance
Specificity (TNR)	Performance
F1	Performance
False Positive Rate	Performance
False Negative Rate	Performance
Inference Count	Ingestion
Inference Count by Class	Ingestion

Drift Metrics

In the platform, drift metrics are calculated compared to a reference dataset. So, once a reference dataset is onboarded for your model, these metrics are available out of the box for comparison. Find out more about these metrics in the Drift and Anomaly section.

Note: Teams are able to evaluate drift for inference data at different intervals with our Python SDK and query service (for example data coming into the model now, compared to a month ago).

PSI	Feature Drift
KL Divergence	Feature Drift
JS Divergence	Feature Drift
Hellinger Distance	Feature Drift
Hypothesis Test	Feature Drift
Prediction Drift	Prediction Drift
Multivariate Drift	Multivariate Drift

Fairness Metrics

As further described in the Fairness Metrics section of the documentation, fairness metrics are available for any tabular Arthur attributes manually selected to monitor for bias.

Metric	Metric Type
Accuracy Rate	Fairness
True Positive Rate (Equal Opportunity)	Fairness
True Negative Rate	Fairness
False Positive Rate	Fairness
False Negative Rate	Fairness

User-Defined Metrics

Whether your team uses a different performance metric, wants to track defined segments of data, or needs logical functions to create a metric for external stakeholders (like product or business metrics). Learn more about creating metrics with data in Arthur in the User-Defined Metrics section.

Available Enrichments

The following enrichments can be enabled for this model type:

Anomaly Detection	Hot Spots	Explainability	Bias Mitigation
X		X	X