Tikhonov's theorem

Tikhonov's theorem is a principle in mathematics that helps solve problems where we want to find an approximate solution to an equation that may not have a clear answer. It emphasizes adding a regularization term to the problem, which discourages overly complex solutions. This makes it easier to find solutions that are stable and reasonable, even when the original data is uncertain or noisy. In essence, Tikhonov's theorem guides us to balance fitting our model to the data while avoiding overfitting, ensuring more reliable and interpretable results.