Is there any self-learning/self-improving chatterbot (preferably AIML bot) library/engine?

Is there any self-learning/self-improving chatterbot (preferably AIML bot) library/engine?

AIML chatbots have very limited learning capabilities. Generally, machine learning needs to be trained, which may not qualify as “self-learning/self-improving”. There are many new dialog system platforms appearing now, including more than a few with claims beyond their actual capabilities.

Botlibre.com is a relatively new chatbot SaaS that is both AIML compatible and trainable.