There is a series of videos of learning neural networks in APL cited by others here on this thread.
Pandas author, Wes McKinney, cited J as an influence in his work on Pandas.
Extreme Learning Machine in J (code and PDF are here too):
https://github.com/peportier/jelm
Convolutional neural networks in APL (PDF and video on page):
https://dl.acm.org/doi/10.1145/3315454.3329960
A DSL to implement MENACE (Matchbox Educable Noughts And Crosses Engine) in APL (Noughts and Crosses or Tic-tac-toe):
Which implementations are you comparing J to? To my knowledge, all of APLs, K, J are interpreted. BQN is compiled, but still very new. I also know that Dyalog was experimenting on a byte code compiler. I don't think there exists convincing benchmarks comparing those languages.
There's this on the J wiki: https://code.jsoftware.com/wiki/User:Brian_Schott/code/feedf...
And there's this YouTube series for APL: https://youtube.com/playlist?list=PLgTqamKi1MS3p-O0QAgjv5vt4...