Finding a good hyperparameter combination is only half the job — you also have to judge whether the result is actually trustworthy. This scene renders a validation-loss landscape over two hyperparameters (learning rate and regularization strength). The purple surface is the validation loss the model would score on unseen data at each combination; the marker ball sits at your current choice. Floating bars compare that point's training loss against its validation loss — the gap between them is the classic sign of overfitting.
A model can look excellent on a single validation split purely by chance. Reporting a mean ± standard deviation across k folds — rather than one lucky (or unlucky) split — is one of the most reliable ways to tell whether a tuning result will hold up on new data.
A 3D validation-loss landscape over learning rate and regularization strength, with a live train-vs-validation gap and cross-validation fold spread that shrinks as folds and data grow.
Validation loss forms a bowl-shaped surface with a sweet spot; moving away from it in the direction of low regularization and aggressive learning rates widens the gap between training and validation loss — the signature of overfitting.
Drag the learning rate and regularization sliders to move the marker across the surface. Adjust dataset size and k-fold count to watch the orange cross-validation samples tighten and the confidence interval narrow.
A single validation split can rank two configurations in the wrong order purely by sampling luck — averaging scores across k folds is one of the simplest ways to get a tuning result you can actually trust.