# Objectives¶

## Overview¶

One of the key choices to make when training an ML model is what metric to choose by which to measure the efficacy of the model at learning the signal. Such metrics are useful for comparing how well the trained models generalize to new similar data.

This choice of metric is a key component of AutoML because it defines the cost function the AutoML search will seek to optimize. In EvalML, these metrics are called objectives. AutoML will seek to minimize (or maximize) the objective score as it explores more pipelines and parameters and will use the feedback from scoring pipelines to tune the available hyperparameters and continue the search. Therefore, it is critical to have an objective function that represents how the model will be applied in the intended domain of use.

EvalML supports a variety of objectives from traditional supervised ML including mean squared error for regression problems and cross entropy or area under the ROC curve for classification problems. EvalML also allows the user to define a custom objective using their domain expertise, so that AutoML can search for models which provide the most value for the user’s problem.

## Core Objectives¶

Use the get_core_objectives method to get a list of which objectives are included with EvalML for each problem type:

[1]:

from evalml.objectives import get_core_objectives
from evalml.problem_types import ProblemTypes

for objective in get_core_objectives(ProblemTypes.BINARY):
print(objective.name)

MCC Binary
Log Loss Binary
Gini
AUC
Precision
F1
Balanced Accuracy Binary
Accuracy Binary


EvalML defines a base objective class for each problem type: RegressionObjective, BinaryClassificationObjective and MulticlassClassificationObjective. All EvalML objectives are a subclass of one of these.

### Binary Classification Objectives and Thresholds¶

All binary classification objectives have a threshold property. Some binary classification objectives like log loss and AUC are unaffected by the choice of binary classification threshold, because they score based on predicted probabilities or examine a range of threshold values. These metrics are defined with score_needs_proba set to False. For all other binary classification objectives, we can compute the optimal binary classification threshold from the predicted probabilities and the target.

[2]:

from evalml.pipelines import BinaryClassificationPipeline
from evalml.objectives import F1

X.ww.init(logical_types={"provider": "Categorical", "region": "Categorical",
"currency": "Categorical", "expiration_date": "Categorical"})
objective = F1()
pipeline = BinaryClassificationPipeline(component_graph=['Simple Imputer', 'DateTime Featurization Component', 'One Hot Encoder', 'Random Forest Classifier'])
pipeline.fit(X, y)
print(pipeline.threshold)
print(pipeline.score(X, y, objectives=[objective]))

y_pred_proba = pipeline.predict_proba(X)[True]
pipeline.threshold = objective.optimize_threshold(y_pred_proba, y)
print(pipeline.threshold)
print(pipeline.score(X, y, objectives=[objective]))

             Number of Features
Boolean                       1
Categorical                   6
Numeric                       5

Number of training examples: 100
Targets
False    91.00%
True      9.00%
Name: fraud, dtype: object
None
OrderedDict([('F1', 1.0)])
0.5202757772593112
OrderedDict([('F1', 1.0)])


## Custom Objectives¶

Often times, the objective function is very specific to the use-case or business problem. To get the right objective to optimize requires thinking through the decisions or actions that will be taken using the model and assigning a cost/benefit to doing that correctly or incorrectly based on known outcomes in the training data.

Once you have determined the objective for your business, you can provide that to EvalML to optimize by defining a custom objective function.

### Defining a Custom Objective Function¶

To create a custom objective class, we must define several elements:

• name: The printable name of this objective.

• objective_function: This function takes the predictions, true labels, and an optional reference to the inputs, and returns a score of how well the model performed.

• greater_is_better: True if a higher objective_function value represents a better solution, and otherwise False.

• score_needs_proba: Only for classification objectives. True if the objective is intended to function with predicted probabilities as opposed to predicted values (example: cross entropy for classifiers).

• decision_function: Only for binary classification objectives. This function takes predicted probabilities that were output from the model and a binary classification threshold, and returns predicted values.

• perfect_score: The score achieved by a perfect model on this objective.

• expected_range: The expected range of values we want this objective to output, which doesn’t necessarily have to be equal to the possible range of values. For example, our expected R2 range is from [-1, 1], although the actual range is (-inf, 1].

### Example: Fraud Detection¶

To give a concrete example, let’s look at how the fraud detection objective function is built.

[3]:

from evalml.objectives.binary_classification_objective import BinaryClassificationObjective
import pandas as pd

class FraudCost(BinaryClassificationObjective):
"""Score the percentage of money lost of the total transaction amount process due to fraud"""
name = "Fraud Cost"
greater_is_better = False
score_needs_proba = False
perfect_score = 0.0

def __init__(self, retry_percentage=.5, interchange_fee=.02,
fraud_payout_percentage=1.0, amount_col='amount'):
"""Create instance of FraudCost

Args:
retry_percentage (float): What percentage of customers that will retry a transaction if it
is declined. Between 0 and 1. Defaults to .5

interchange_fee (float): How much of each successful transaction you can collect.
Between 0 and 1. Defaults to .02

fraud_payout_percentage (float): Percentage of fraud you will not be able to collect.
Between 0 and 1. Defaults to 1.0

amount_col (str): Name of column in data that contains the amount. Defaults to "amount"
"""
self.retry_percentage = retry_percentage
self.interchange_fee = interchange_fee
self.fraud_payout_percentage = fraud_payout_percentage
self.amount_col = amount_col

def decision_function(self, ypred_proba, threshold=0.0, X=None):
"""Determine if a transaction is fraud given predicted probabilities, threshold, and dataframe with transaction amount

Args:
ypred_proba (pd.Series): Predicted probablities
X (pd.DataFrame): Dataframe containing transaction amount
threshold (float): Dollar threshold to determine if transaction is fraud

Returns:
pd.Series: Series of predicted fraud labels using X and threshold
"""
if not isinstance(X, pd.DataFrame):
X = pd.DataFrame(X)

if not isinstance(ypred_proba, pd.Series):
ypred_proba = pd.Series(ypred_proba)

transformed_probs = (ypred_proba.values * X[self.amount_col])
return transformed_probs > threshold

def objective_function(self, y_true, y_predicted, X):
"""Calculate amount lost to fraud per transaction given predictions, true values, and dataframe with transaction amount

Args:
y_predicted (pd.Series): predicted fraud labels
y_true (pd.Series): true fraud labels
X (pd.DataFrame): dataframe with transaction amounts

Returns:
float: amount lost to fraud per transaction
"""
if not isinstance(X, pd.DataFrame):
X = pd.DataFrame(X)

if not isinstance(y_predicted, pd.Series):
y_predicted = pd.Series(y_predicted)

if not isinstance(y_true, pd.Series):
y_true = pd.Series(y_true)

# extract transaction using the amount columns in users data
try:
transaction_amount = X[self.amount_col]
except KeyError:
raise ValueError("{} is not a valid column in X.".format(self.amount_col))

# amount paid if transaction is fraud
fraud_cost = transaction_amount * self.fraud_payout_percentage

# money made from interchange fees on transaction
interchange_cost = transaction_amount * (1 - self.retry_percentage) * self.interchange_fee

# calculate cost of missing fraudulent transactions
false_negatives = (y_true & ~y_predicted) * fraud_cost

# calculate money lost from fees
false_positives = (~y_true & y_predicted) * interchange_cost

loss = false_negatives.sum() + false_positives.sum()

loss_per_total_processed = loss / transaction_amount.sum()

return loss_per_total_processed