Permuton-induced Chinese Restaurant Process

1 code implementation • NeurIPS 2021 • Masahiro Nakano, Yasuhiro Fujiwara, Akisato Kimura, Takeshi Yamada, Naonori Ueda

Our main contribution is to introduce the notion of permutons into the well-known Chinese restaurant process (CRP) for sequence partitioning: a permuton is a probability measure on $[0, 1]\times [0, 1]$ and can be regarded as a geometric interpretation of the scaling limit of permutations.

Baxter Permutation Process

1 code implementation • NeurIPS 2020 • Masahiro Nakano, Akisato Kimura, Takeshi Yamada, Naonori Ueda

Compared with conventional BNP models for arbitrary RPs, the proposed model is simpler and has a high affinity with Bayesian inference.

Bayesian Inference