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edit distance, this is usually just used on the individual token level (words, bigrams, etc...). In general I wouldn't recommend this metric as it not only discards any semantic information, but also tends to treat very different word alterations very similarly, but it is an extremely common metric for this kind of thingtopic modeling. LSA has gone out of fashion pretty recently, and in my experience, it's not quite the strongest topic modeling approach, but it is relatively straightforward to implement and has a few open source implementationstopic modeling, but it's different from LSA in that it actually learns internal representations that tend to be more smooth and intuitive. In general, the results you get from LDA are better for modeling document similarity than LSA, but not quite as good for learning how to discriminate strongly between topics.LDA, with the only downside being that it takes a bit longer to train and open-source implementations are a little harder to come byCount Vectorizers and TF-IDF. Word2vec is great because it has a number of open source implementations. Once you have the vector, any other similarity metric (like cosine distance) can be used on top of it with significantly more efficacy.paragraph vectors, this is the latest and greatest in a series of papers by Google, looking into dense vector representations of documents. The gensim library in python has an implementation of word2vec that is straightforward enough that it can pretty reasonably be leveraged to build doc2vec, but make sure to keep the license in mind if you want to go down this routedeviance | up to a constant, minus twice the maximized log-likelihood. Where sensible, the constant is chosen so that a saturated model has deviance zero. |