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fix mathematical formulations for confidence module
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mlquantify/confidence.py

Lines changed: 4 additions & 3 deletions
Original file line numberDiff line numberDiff line change
@@ -166,10 +166,10 @@ class ConfidenceEllipseSimplex(BaseConfidenceRegion):
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.. math::
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CE_{\alpha}(\pi) =
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begin{cases}
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\begin{cases}
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1 & \text{if} (\pi - \mu)^T \Sigma^{-1} (\pi - \mu) \le \chi^2_{n-1}(1-\alpha) \\
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0 & \text{otherwise}
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end{cases}
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\end{cases}
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Parameters
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----------
@@ -240,7 +240,8 @@ class ConfidenceEllipseCLR(ConfidenceEllipseSimplex):
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.. math::
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T(\pi) = [\log(\pi_1/g(\pi)), ..., \log(\pi_n/g(\pi))], g(\pi) = (\prod_i \pi_i)^{1/n}
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T(\pi) = [\log(\pi_1/g(\pi)), ..., \log(\pi_n/g(\pi))],\\
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g(\pi) = (\prod_i \pi_i)^{1/n}
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A confidence ellipse is then built in the transformed space:
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