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psteinbmichaeldeistler
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fixed misrendered bullet list, tested locally
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docs/advanced_tutorials/13_diagnostics_lc2st.ipynb

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"source": [
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"## Illustration on a benchmark SBI example\n",
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"\n",
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"We consider the Gaussian Mixture SBI task from [Lueckmann et al, 2021](https://arxiv.org/abs/2101.04653). It consists of inferring the common mean of a mixture of two 2D Gaussian distributions, one with much broader covariance than the other:\n",
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"We consider the Gaussian Mixture SBI task from [Lueckmann et al, 2021](https://arxiv.org/abs/2101.04653). It consists of inferring the common mean of a mixture of two 2D Gaussian distributions, one with much broader covariance than the other:\n\n",
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"- Prior: $p(\\theta) = \\mathcal{U}(-10,10)$\n",
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"- Simulator: $p(x|\\theta) = 0.5 \\mathcal{N}(\\theta, \\mathbf{I}_2)+ 0.5 \\mathcal{N}(\\theta, 0.1 \\times \\mathbf{I}_2)$\n",
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"- Dimensionality: $\\theta \\in \\mathbb{R}^2$, $x \\in \\mathbb{R}^2$"

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