Applications of Tensor Networks in Probability and Statistics

One of the most common uses of tensor networks is parameterizing statistical models. For example, a tensor network can compress the parameters of a generative model in machine learning. Or in quantum physics a common use of tensor networks is representing joint probability distributions of many variables (using the 2-norm or Born rule of probability).

Background Material

• Standard Probability Formalism
• 2-norm or “Born rule” Probability Formalism

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