**Log-cosh loss** is a loss function that is used to solve regression problems. Log-cosh is calculated as the average logarithm of the hyperbolic cosine of the differences between the predicted and actual values.

The formula to calculate the log-cosh:

`n`

- the number of data points.`y`

- the actual value of the data point. Also known as true value.`ŷ`

- the predicted value of the data point. This value is returned by model.

Let's say we have the following sets of numbers:

actual values of `y` | 4 | -1.5 | 5 | 2 |

predicted values of `ŷ` | 3.5 | 1 | 5 | 3 |

Here is example how log-cosh can be calculated using these numbers:

TensorFlow 2 allows to calculate the log-cosh. It can be done by using `LogCosh`

class.

```
from tensorflow import keras
yActual = [4, -1.5, 5, 2]
yPredicted = [3.5, 1, 5, 3]
logcoshObject = keras.losses.LogCosh()
logcoshTensor = logcoshObject(yActual, yPredicted)
logcosh = logcoshTensor.numpy()
print(logcosh)
```

Log-cosh also can be calculated by using `log_cosh`

function.

```
logcoshTensor = keras.losses.log_cosh(yActual, yPredicted)
logcosh = logcoshTensor.numpy()
```

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