Corpus ID: 221376956

Estimation in Tensor Ising Models

  title={Estimation in Tensor Ising Models},
  author={S. Mukherjee and J. Son and B. Bhattacharya},
  journal={arXiv: Statistics Theory},
  • S. Mukherjee, J. Son, B. Bhattacharya
  • Published 2020
  • Mathematics
  • arXiv: Statistics Theory
  • The $p$-tensor Ising model is a one-parameter discrete exponential family for modeling dependent binary data, where the sufficient statistic is a multi-linear form of degree $p \geq 2$. This is a natural generalization of the matrix Ising model, that provides a convenient mathematical framework for capturing higher-order dependencies in complex relational data. In this paper, we consider the problem of estimating the natural parameter of the $p$-tensor Ising model given a single sample from the… CONTINUE READING

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