The classic example of determining similarity as distance Word Mover's Distance as for example here https://markroxor.github.io/gensim/static/notebooks/WMD_tutorial.html, word2vec model on GoogleNews-vectors-negative300.bin, D1="Obama speaks to the media in Illinois",D2="The president greets the press in Chicago",D3="Oranges are my favorite fruit". When calculated wmd distances: distance (D1,D2)=3.3741, distance (D1,D3)=4.3802. So we understand that (D1,D2) more similar than (D1,D3). What is the threshold value for vmd distance to decide that the two sentences actually contain almost the same information? Maybe in the case of sentences D1 and D2, the value of 3.3741 is too large and in reality these sentences are different? Such decisions need to be made, for example, when there is a question, a sample of the correct answer and a student's answer.