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Efficient Online Inference for Nonparametric Mixture Time Series
This code corresponds to our UAI 2021 paper.
In this paper, we provide an efficient streaming inference algorithm
for infinite mixture models using a novel Bayesian recursion on the Chinese
Restaurant Process.
To make streaming inference possible, we break the CRP's conditional distribution
$$p(z_t|z_{<t}, \alpha)$$ on the complete history by replacing it with a marginal
distribution $$p(z_t|\alpha)$$. The running sum of the previous marginal distributions
$$\sum_{t' < t} p(z_{t'} = k)$$ (left) and the Chinese restaurant table distribution
$$p(K_{t-1} = k)$$ (middle) compete to determine the next marginal distribution
$$p(z_t = k)$$ (right). Note the logarithmic scaling.
Setup
After cloning the repository, create a virtual environment for Python 3:
python3 -m venv rcrp
Then activate the virtual environment:
source rcrp/bin/activate
Ensure pip is up to date:
pip install --upgrade pip
Then install the required packages:
pip install -r requirements.txt
We did not test Python2, but Python2 may work.
Running
Each experiment has its own directory, each containing a main.py that creates a plots
subdirectory (e.g. exp_00_crp_prior/plots) and then reproduces the plots in the paper. Each
main.py should be run from the repository directory e.g.:
python3 exp_00_crp_prior/main.py
Contact
Questions? Comments? Interested in collaborating? Open an issue or
email Rylan Schaeffer at rylanschaeffer@gmail.com and cc Ila Fiete at fiete@mit.edu.
About
Code for UAI 2021 paper Efficient Online Inference for Nonparametric Mixture Models