I think they are the same concept, https://courses.engr.illinois.edu/cs498jh/Slides/Lecture10.pdf Probabilistic CYK algorithm is used the viterbi algorithm to parse, is my concept is correct?
What is the difference between Viterbi CYK and Probabilistic CYK algorithm, Is there any differences?
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Yes, you are correct. You can consider weight CKY is equivalent to Viterbi for parsing. You can see the lecture on Viterbi and Statistical parsing with PCFG from here. However, Viterbi algorithm can be used to find the most likely sequence of hidden states and probabilistic CYK algorithm is specifically designed for tagging/parsing.