If you have ever tried solving a Classification task using a Machine
Learning (ML) algorithm, you might have heard of a well-known Recall
score ML metric. On this page, we will:
- Сover the logic behind the metric (both for the binary and multiclass cases);
- Check out the metric’s formula;
- Find out how to interpret the Recall value;
- Calculate Recall on simple examples;
- Dive a bit deeper into the Micro and Macro Recall scores;
- And see how to work with the Recall score using Python.
Let’s jump in.
The Recall score is derived from the Confusion matrix. So, to better grasp the metric, please check out the Confusion matrix
With the Accuracy score having two drawbacks, such as the imbalance problem and being uninformative as a standalone Machine Learning metric, Data Scientists developed two new metrics that addressed the disadvantages of Accuracy and gave researchers a better view of a model’s performance.
Up-to-date, these metrics are widely used to evaluate Classification algorithms across the industry. They are called:
Usually, Precision and Recall are used together as they nicely complement each other. So, to learn more, please check out the Precision page
when you finish reading this one.
To define the term, in Machine Learning, the Recall score (or just Recall) is a Classification metric featuring a ratio of predictions of the Positive class that are Positive by ground truth to the total number of Positive samples. In other words, Recall measures the ability of a classifier to detect Positive samples.
To evaluate a Classification model using the Recall score, you need to have:
- The ground truth classes;
- And the model’s predictions.
Recall score formula
The Recall score is an intuitive metric, so you should not experience any challenges in understanding it.
To get the Recall score value, you need to divide the True Positives
(the predicted class for a sample is Positive and the ground truth class
is also Positive) by the total number of Positive samples - True
Positives and False Negatives (the predicted class for a sample is
Negative, but the ground truth class is Positive).
Like Precision, Recall is also independent of the class distribution,
so you can effectively use it even if your data is imbalanced. To
simplify the formula, let’s visualize it.
As you can see, Recall can be easily described using the Confusion matrix terms such as True Positive and False Negative. Still, as described on the Confusion matrix page, these terms are mainly used for the binary Classification tasks.
So, the Recall score algorithm for the binary Classification task is as follows:
- Get predictions from your model;
- Calculate the number of True Positive and False Negative predictions;
- Use the formal Recall formula;
- And analyze the obtained value.
Multiclass Recall score
For the binary case, the workflow is straightforward. However, there
are also multiclass use cases, and this is when things might get a bit
tricky. In general, there are various approaches you can take when
calculating Recall for the multiclass task. There are at least three
different options, as you can see in the sklearn Recall score metric function:
- And Weighted.
Each of these approaches is solid and can be very helpful in model
evaluation. Also, in real life, you will likely calculate the metric
value using all of them to get a more comprehensive view of a problem.
Please check out the micro and macro Recall score calculation examples
below or the scikit-learn documentation page if you want to learn more.
So, the Recall score algorithm for the multiclass Classification task is as follows:
- Get predictions from your model;
- Identify the multiclass calculation approach you feel is the best for your task;
- Use a Machine Learning library (for example, sklearn) to do the calculations for you;
- And analyze the obtained value while keeping in mind the approach you used to get it.
In the Recall case, the metric value interpretation is more or less
straightforward. More Positive samples detected, the higher the score,
the better the result. The best possible value is 1 (if a model found
all the Positive samples), and the worst is 0 (if a model did not find
From our experience, for both multiclass and binary use cases, you should consider Recall > 0.85 as an excellent score, Recall > 0.7
as a good one, and any other score as the poor one. Still, you can set
your own thresholds as your logic and task might vary highly from ours.
Also, please be careful in the multiclass cases, as you might get a
model with a high metric value on one class but a low one on the other.
So, always try to peek into the bigger picture. Do not rely on a single
value averaged across the classes.
Understanding whether you got a high or low Recall value is good, but
what does this value mean in the grand scheme of things? The higher the
Recall score value, the higher the probability that the classifier will
predict all the Positive samples correctly as Positive. So, with high
Recall, you can trust the model’s ability to detect all Positive class
Let’s say we have a binary Classification task. For example, you are trying to determine whether a cat or a dog is on an image. You have a model and want to evaluate its performance using Recall. You pass 15 pictures with a cat and 20 images with a dog to the model. From the given 15 cat images, the algorithm predicts 9 pictures as the dog ones, and from the 20 dog images - 6 pictures as the cat ones. Let’s build a Confusion matrix first (you can check the detailed calculation on the Confusion matrix page).
Excellent, now let’s calculate the Recall score using the formula for
the binary Classification use case (the number of correct predictions
is in the green cells of the table, and the number of the incorrect ones
is in the red cells).
- Recall = (TP) / (TP + FN) = (6) / (6 + 9) ~ 0.4
Ok, great. Let’s expand the task and add another class, for example, the bird one. You pass 15 pictures with a cat, 20 images with a dog, and 12 pictures with a bird to the model. The predictions are as follows:
- 15 cat images: 9 dog pictures, 3 bird ones, and 15 - 9 - 3 = 3 cat images;
- 20 dog images: 6 cat pictures, 4 bird ones, and 20 - 6 - 4 = 10 dog images;
- 12 bird images: 4 dog pictures, 2 cat ones, and 12 - 4 - 2 = 6 bird images.
Let’s build the matrix.
Macro Recall score calculation example
Macro Recall score is a way to study the classification as a whole.
To calculate the Macro Recall score, you need to compute the metric
independently for each class and take the average of the sum. The Macro
approach treats all the classes equally as it aims to see the bigger
picture and evaluate the algorithm’s performance across all the classes
in one value.
Let’s calculate the Recall value for each class. To do so, we need to
go column by column (the green cell is the True Positives predictions
for a specific class whereas red cells are False Negatives):
- Dog Recall: 10 / (4 + 6 + 10) ~ 0.5
- Bird Recall: 6 / (4 + 2 + 6) ~ 0.5
- Cat Recall: 3 / (9 + 3 + 3) ~ 0.2
- Macro Recall score: (Dog Recall + Bird Recall + Cat Recall) / 3 = (0.5 + 0.5 + 0.2) / 3 ~ 0.4
Micro Recall score calculation example
On the other hand, the Micro Recall score studies individual classes.
To calculate it, you need to sum all True Positives and divide by the
sum of all True Positives and False Negatives predictions across all the
classes. Thus, Micro Recal will combine the contributions of all
classes to calculate the average metric.
Let’s calculate the Micro Recal score value for our use case
- Micro Recall score: (TP Dog + TP Bird + TP Cat) / ((TP +
FN) Dog + (TP + FN) Bird + (TP + FN) Cat) = (10 + 6 + 3) / ((4 + 6 +
10) + (4 + 2 + 6) + (9 + 3 + 3)) ~ 0.404
The Recall score is widely used in the industry, so all the Machine
and Deep Learning libraries have their own implementation of this
metric. For this page, we prepared three code blocks featuring
calculating Recall in Python. In detail, you can check out:
- Recall in Scikit-learn (Sklearn);
- Recall in TensorFlow;
- Recall in PyTorch.
Scikit-learn is the most popular Python library for classical Machine
Learning. From our experience, Sklearn is the tool you will likely use
the most to calculate Recall (especially, if you are working with the
tabular data). Fortunately, you can do it in a blink of an eye.
In the vision AI field, the Recall score algorithm is slightly different. For instance segmentors, semantic segmentors, and object detectors, a prediction is correct if the predicted class equals the ground truth one and the prediction's IoU is above a certain threshold (often, a threshold of 0.5 is used).