ML- or ChatGPT-based chatbot development

https://www.shiksha.com/online-courses/articles/building-ai-chatbot-with-chatgpt-api/

https://textcortex.com/post/train-chatgpt-on-custom-data

inf, sup, lim inf, lim sup

• inf (infimum) is the greatest-lower-bound data point.
• sup (supremum) is the lowest-upper-bound data point.
• lim inf is the greatest-lower-bound Y data point when X approaches some certain value (needn't be infinite) specified under lim inf's limit subscription. (note that both inf and sup cannot have limit subscription)
• lim sup is the lowest-upper-bound Y data point when X approaches some certain value (needn't be infinite) specified under lim sup's limit subscription.

All these four terms are used for data sequences that may look either flutuate (like converging waves) or smooth curves (so inf = sup and lim inf = lim sup).

https://math.stackexchange.com/questions/422964/what-is-limit-superior-and-limit-inferior

https://en.m.wikipedia.org/wiki/Limit_inferior_and_limit_superior

https://en.wikipedia.org/wiki/Infimum_and_supremum

https://math.stackexchange.com/questions/1031905/lim-inf-and-lim-sup-convergence-divergence

Markov chain

A stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event.

https://en.wikipedia.org/wiki/Markov_chain

Semi-Supervised Learning

SSL uses a small portion of labeled data and lots of unlabeled data to train a classification model. There are several methods to label the portion of unlabeled data to be used as a training set e.g. Pseudo-labeling.

https://blog.roboflow.com/what-is-semi-supervised-learning/#:~:text=Semi%2Dsupervised%20learning%20(SSL),supervised%20learning%20and%20unsupervised%20learning.

Technically, it could be viewed as performing clustering and then labeling the clusters with the labeled data. Unabeled data with the same cluster as the labeled data share the same label as the labeled data.

https://en.m.wikipedia.org/w/index.php?title=Weak_supervision&diffonly=true

AI generated images cannot be copyrighted

 https://www.reuters.com/legal/ai-generated-art-cannot-receive-copyrights-us-court-says-2023-08-21/#:~:text=Aug%2021%20(Reuters)%20%2D%20A,Washington%2C%20D.C.%2C%20has%20ruled.