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examples/mixture_models/dp_mix.ipynb

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"\n",
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" $$P = \\sum_{i = 1}^\\infty \\mu_i \\delta_{\\omega_i} \\sim \\textrm{DP}(\\alpha, P_0).$$\n",
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" \n",
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"[Suggested Further Reading]: (http://mlg.eng.cam.ac.uk/tutorials/07/ywt.pdf) and {cite:p}`teh2010dirichletprocess` for a brief introduction to other flavours of Dirichlet Processes, and their applications.\n",
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"[Suggested Further Reading]: (http://mlg.eng.cam.ac.uk/tutorials/07/ywt.pdf) and {cite:t}`teh2010dirichletprocess` for a brief introduction to other flavours of Dirichlet Processes, and their applications.\n",
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"\n",
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"We can use the stick-breaking process above to easily sample from a Dirichlet process in Python. For this example, $\\alpha = 2$ and the base distribution is $N(0, 1)$."
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]

examples/references.bib

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@@ -165,14 +165,14 @@ @article{lewandowski2009generating
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publisher={Elsevier}
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}
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@misc{madsen2005modelingdirichlet,
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title={Modeling word burstiness using the Dirichlet distribution},
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url={https://dl.acm.org/doi/10.1145/1102351.1102420},
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journal={Proceedings of the 22nd international conference on Machine learning},
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author={Rasmus E. Madsen, David Kauchak, Charles Elkan and et al.},
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year={2005},
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@misc{madsen2005modelingdirichlet,
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title={Modeling word burstiness using the Dirichlet distribution},
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url={https://dl.acm.org/doi/10.1145/1102351.1102420},
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journal={Proceedings of the 22nd international conference on Machine learning},
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author={Rasmus E. Madsen, David Kauchak, Charles Elkan and et al.},
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year={2005},
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month={Aug}
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}
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}
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@book{martin2018bayesian,
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title={Bayesian analysis with Python: introduction to statistical modeling and probabilistic programming using PyMC3 and ArviZ},
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primaryClass={cs.LG}
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}
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@misc{nowicka2016drimseq,
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title={DRIMSeq: A Dirichlet-Multinomial Framework for Multivariate Count Outcomes in Genomics},
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url={https://f1000research.com/articles/5-1356/v2},
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journal={F1000Research},
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author={Nowicka, Malgorzata and Robinson, Mark D.},
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year={2016},
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@misc{nowicka2016drimseq,
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title={DRIMSeq: A Dirichlet-Multinomial Framework for Multivariate Count Outcomes in Genomics},
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url={https://f1000research.com/articles/5-1356/v2},
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journal={F1000Research},
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author={Nowicka, Malgorzata and Robinson, Mark D.},
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year={2016},
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month={Dec}
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}
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}
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@article{nowlan1992simplifying,
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title={Simplifying Neural Networks By Soft Weight-Sharing},
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primaryClass={cs.CV}
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}
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@article{roy2008npbayes,
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title={A stochastic programming perspective on nonparametric Bayes},
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author={Daniel M. Roy, Vikash Mansinghka, Noah Goodman and Joshua Tenenbaum},
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journal={International Conference on Machine Learning: Workshop on Nonparametric Bayesian},
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year={2008}
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}
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@incollection{teh2010dirichletprocess,
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author={Y. W. Teh},
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booktitle={Encyclopedia of Machine Learning},

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