WebOct 4, 2024 · I am trying to compute mutual information for 2 vectors. I made a general function that recognizes if the data is categorical or continuous. It's really difficult to find simple examples of this calculation and I have only found theoretical implementations (e.g. How to calculate mutual information?). In statistics, probability theory and information theory, pointwise mutual information (PMI), or point mutual information, is a measure of association. It compares the probability of two events occurring together to what this probability would be if the events were independent. PMI (especially in its positive pointwise … See more The PMI of a pair of outcomes x and y belonging to discrete random variables X and Y quantifies the discrepancy between the probability of their coincidence given their joint distribution and their individual distributions, … See more Like mutual information, point mutual information follows the chain rule, that is, This is proven through application of Bayes' theorem See more • Demo at Rensselaer MSR Server (PMI values normalized to be between 0 and 1) See more Pointwise Mutual Information has many of the same relationships as the mutual information. In particular, See more Several variations of PMI have been proposed, in particular to address what has been described as its "two main limitations": 1. PMI … See more PMI could be used in various disciplines e.g. in information theory, linguistics or chemistry (in profiling and analysis of chemical compounds). In computational linguistics, … See more
“Pointwise mutual information as test statistics” Statistical ...
WebI would like to compute the point wise mutual information between two words that occur in context of a certain phrase. For example if the words are 'good' and 'great', and the phrase is 'but not', then the whole phrase would be . good but not great WebIndeed i(x;y) has been proposed in different literatures; for example Church and Hanks (1990) stud-ied it for word associations in linguistics. i(x;y) is termed the pointwise mutual information (PMI), e.g. in the statistical natural language processing textbook of Manning and Schutze (1999). In pharma-¨ christine hinton obituary
Introduction to Positive Point-wise mutual information (PPMI )
WebApr 6, 2024 · In particular, the example on p. 179 considers an example where the corpus contains 14307668 tokens. It shows that for two words w1 and w2, if w1 appears 42 … WebMutual Information – Example with categorical variables Mutual information and its cousin, the Uncertainty coefficient (Theil’s U) are useful tools from Information Theory for … christine hippert