"Centuries" is a bit of a stretch, right? Or am I misunderstanding your comment?
Some of the most widely used algorithms in machine learning, for training or prediction, are much younger than that: - backpropagation (1970s) - Viterbi algorithm (1960s) - Markov Chain Monte Carlo (1940s) (Though, the Buffon's needle problem is from the 18th century.)
And things like conditional random fields, LDA, and LSTMs, were introduced after 2000.
edit: removed lone parenthesis