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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]: [A Tutorial on Dirichlet Processes\n",
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"and Hierarchical Dirichlet Processes by Yee Whye Teh](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:p}`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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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"The Dirichlet process mixture model is incredibly flexible in terms of the family of parametric component distributions $\\{f_{\\theta}\\ |\\ f_{\\theta} \\in \\Theta\\}$. We illustrate this flexibility below by using Poisson component distributions to estimate the density of sunspots per year. This dataset was curated by {cite:t}`sidc2021sunspot` can be downloaded."
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"The Dirichlet process mixture model is incredibly flexible in terms of the family of parametric component distributions $\\{f_{\\theta}\\ |\\ f_{\\theta} \\in \\Theta\\}$. We illustrate this flexibility below by using Poisson component distributions to estimate the density of sunspots per year. This dataset was curated by {cite:t}`sidc2021sunspot` and can be downloaded."
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