Can training error be higher than test error?

Can training error be higher than test error?

Test error is consistently higher than training error: if this is by a small margin, and both error curves are decreasing with epochs, it should be fine. However if your test set error is not decreasing, while your training error is decreasing alot, it means you are over fitting severely.

Can true error be lower than training error?

Generally speaking though, training error will almost always underestimate your validation error. However it is possible for the validation error to be less than the training. You can think of it two ways: Your training set had many ‘hard’ cases to learn.

Why test accuracy is higher than training?

Test accuracy should not be higher than train since the model is optimized for the latter. Ways in which this behavior might happen: you did not use the same source dataset for test. You should do a proper train/test split in which both of them have the same underlying distribution.

What is the difference between training error and test error?

It is very important to understand the difference between a training error and a test error. Remember that the training error is calculated by using the same data for training the model and calculating its error rate. For calculating the test error, you are using completely disjoint data sets for both tasks.

Why does training error increase?

However, the error on the testing set only decreases as we add flexibility up to a certain point. In this case, that occurs at 5 degrees As the flexibility increases beyond this point, the training error increases because the model has memorized the training data and the noise.

What is true error?

In hypothesis testing, the true error is the error rate of a hypothesis over a whole unknown distribution of examples; It is the probability a single randomly drawn example will be misclassified (Mitchell, 1997).

Which is better train error or test error?

As the regularization increases the performance on train decreases while the performance on test is optimal within a range of values of the regularization parameter. The example with an Elastic-Net regression model and the performance is measured using the explained variance a.k.a. R^2.

When do you expect a lower training error?

A lower training error is expected when a method easily overfits to the training data, yet, poorly generalizes. This happens usually, but not always, with sophisticated methods that have many parameters. It is also totally possible to have a lower test error and I have seen this in practice.

How are training error and test error used in machine learning?

Training error vs test error There are two important concepts used in machine learning: the training error and the test error. Training Error: We get the by calculating the classification error of a model on the same data the model was trained on (just like the example above).

Why is my validation loss lower than my training loss?

Regularization methods often sacrifice training accuracy to improve validation/testing accuracy — in some cases that can lead to your validation loss being lower than your training loss. Secondly, keep in mind that regularization methods such as dropout are not applied at validation/testing time.