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@@ -8,8 +8,10 @@ This repository is part of [Turing.jl's](https://turinglang.org/) website (i.e.
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To get started with the docs website locally, you'll need to have [Quarto](https://quarto.org/docs/download/) installed.
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Make sure you have at least version 1.5 of Quarto installed, as this is required to correctly run [the native Julia engine](https://quarto.org/docs/computations/julia.html#using-the-julia-engine).
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Ideally, you should use Quarto 1.6.31 or later as this version fixes [a bug which causes random number generation between different cells to not be deterministic](https://github.com/TuringLang/docs/issues/533).
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Note that as of October 2024, Quarto 1.6 is a pre-release version, so you may need to install it from source rather than via a package manager like Homebrew.
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Once you have the prerequisite installed, you can follow these steps:
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Once you have Quarto installed, you can follow these steps:
# @assert isapprox(sort(μ_mean), μ; rtol=0.1) "Difference between estimated mean of μ ($(sort(μ_mean))) and data-generating μ ($μ) unexpectedly large!"
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@assert isapprox(sort(μ_mean), μ; rtol=0.1) "Difference between estimated mean of μ ($(sort(μ_mean))) and data-generating μ ($μ) unexpectedly large!"
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end
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end
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```
@@ -208,8 +207,7 @@ let
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# μ[1] and μ[2] can no longer switch places. Check that they've found the mean
# @assert isapprox(sort(μ_mean), μ; rtol=0.4) "Difference between estimated mean of μ ($(sort(μ_mean))) and data-generating μ ($μ) unexpectedly large!"
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@assert isapprox(sort(μ_mean), μ; rtol=0.4) "Difference between estimated mean of μ ($(sort(μ_mean))) and data-generating μ ($μ) unexpectedly large!"
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end
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end
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```
@@ -349,8 +347,7 @@ let
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# μ[1] and μ[2] can no longer switch places. Check that they've found the mean
# @assert isapprox(sort(μ_mean), μ; rtol=0.4) "Difference between estimated mean of μ ($(sort(μ_mean))) and data-generating μ ($μ) unexpectedly large!"
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@assert isapprox(sort(μ_mean), μ; rtol=0.4) "Difference between estimated mean of μ ($(sort(μ_mean))) and data-generating μ ($μ) unexpectedly large!"
We observe that, using posterior mean, the recovered data matrix `mat_rec` has values align with the original data matrix - particularly the same pattern in the first and last 3 gene features are captured, which implies the inference and p-PCA decomposition are successful.
@@ -383,4 +380,4 @@ It can also thought as a matrix factorisation method, in which $\mathbf{X}=(\mat
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[^2]: Probabilistic PCA by TensorFlow, "https://www.tensorflow.org/probability/examples/Probabilistic_PCA".
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[^3]: Gareth M. James, Daniela Witten, Trevor Hastie, Robert Tibshirani, *An Introduction to Statistical Learning*, Springer, 2013.
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[^4]: David Wipf, Srikantan Nagarajan, *A New View of Automatic Relevance Determination*, NIPS 2007.
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[^5]: Christopher Bishop, *Pattern Recognition and Machine Learning*, Springer, 2006.
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[^5]: Christopher Bishop, *Pattern Recognition and Machine Learning*, Springer, 2006.
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