In cgab-ncc/FIREVAT: FIREVAT, FInding REliable Variants without ArTifacts

knitr::opts_chunk$set(
    collapse = TRUE,
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Experimental objective functions

Euc.Obj.Fn

$$ \sqrt{ cos\Theta_{r}^{2} + (1- \Sigma w_{A,r}^i)^{2} + cos\Theta_{a}^{2} + (\Sigma w_{A,a}^i)^{2} } $$

Exp.Weighted.Obj.Fn.1

$$ [log_{10}(0.9 \cdot cos\Theta_{r} + 0.1) + 1] \cdot [\frac{(10^{(\Sigma w_{A,r}^i)} - 0.1)}{0.9}] \cdot [log_{10}(0.9 \cdot cos\Theta_{a} + 0.1) + 1] \cdot [\frac{(10^{(\Sigma w_{A,a}^i - 1)} - 0.1)}{0.9}] $$

Exp.Weighted.Obj.Fn.2

$$ [0.5 \cdot log_{10}(0.99 \cdot cos\Theta_{r} + 0.01) + 1] \cdot [\frac{(10^{2 \cdot (\Sigma w_{A,r}^i)} - 0.01)}{0.99}] \cdot [0.5 \cdot log_{10}(0.99 \cdot cos\Theta_{a} + 0.01) + 1] \cdot [\frac{(10^{2 \cdot (\Sigma w_{A,a}^i - 1)} - 0.01)}{0.99}] $$

Euc.Exp.Weighted.Obj.Fn

$$ \sqrt{[log_{10}(0.9 \cdot cos\Theta_{r} + 0.1) + 1]^{2} + [\frac{(10^{(\Sigma w_{A,r}^i)} - 0.1)}{0.9}]^{2} + [log_{10}(0.9 \cdot cos\Theta_{a} + 0.1) + 1]^{2} + [\frac{(10^{(\Sigma w_{A,a}^i - 1)} - 0.1)}{0.9}]^{2}} $$

Euc.Exp.Weighted.Seq.Art.Only.Obj.Fn.1

$$ \sqrt{[\frac{(10^{(\Sigma w_{A,r}^i)} - 0.1)}{0.9}]^{2} + [\frac{(10^{(\Sigma w_{A,a}^i - 1)} - 0.1)}{0.9}]^{2}} $$

Euc.Exp.Weighted.Seq.Art.Only.Obj.Fn.2

$$ \sqrt{[log_{10}(0.9 \cdot cos\Theta_{a} + 0.1) + 1]^{2} + [\frac{(10^{(\Sigma w_{A,a}^i - 1)} - 0.1)}{0.9}]^{2}} $$

Exp.Weighted.Refined.Seq.Art.Only.Obj.Fn

$$ \frac{10^{(\Sigma w_{A,r}^i)} - 0.1}{0.9} $$

Sigmoid.Obj.Fn

$$ [\frac{1}{1+e^{-3 \cdot (-6 + 10 \cdot (cos\Theta_{r})^{5})}}] \cdot [\frac{1}{1+e^{-3 \cdot (-6 + 10 \cdot (1 - \Sigma w_{A,r}^i)^{5})}}] \cdot [\frac{1}{1+e^{-3 \cdot (-6 + 10 \cdot (cos\Theta_{a})^{5})}}] \cdot [\frac{1}{1+e^{-3 \cdot (-6 + 10 \cdot (\Sigma w_{A,a}^i)^{5})}}] $$

Leaky.ReLU.Obj.Fn

\begin{align} cos\Theta_{r}^{'}=\begin{cases} 0.111 \cdot cos\Theta_{r}, & \text{if $cos\Theta_{r} < 0.9$}\ 9 \cdot (cos\Theta_{r} - 0.888), & \text{otherwise}. \end{cases}

\newline\newline

cos\Theta_{a}^{'}=\begin{cases} 0.111 \cdot cos\Theta_{a}, & \text{if $cos\Theta_{a} < 0.9$}\ 9 \cdot (cos\Theta_{a} - 0.888), & \text{otherwise}. \end{cases}

\newline\newline

(\Sigma w_{A,r}^i)^{'}=\begin{cases} 0.111 \cdot (1 - \Sigma w_{A,r}^i), & \text{if $(1 - \Sigma w_{A,r}^i) < 0.9$}\ 9 \cdot ((1 - \Sigma w_{A,r}^i) - 0.888), & \text{otherwise}. \end{cases}

\newline\newline

(\Sigma w_{A,a}^i)^{'}=\begin{cases} 0.111 \cdot \Sigma w_{A,a}^i, & \text{if $\Sigma w_{A,a}^i < 0.9$}\ 9 \cdot (\Sigma w_{A,a}^i - 0.888), & \text{otherwise}. \end{cases}

\newline\newline

cos\Theta_{r}^{'} \cdot (\Sigma w_{A,r}^i)^{'} \cdot cos\Theta_{a}^{'} \cdot (\Sigma w_{A,a}^i)^{'} \end{align}

cgab-ncc/FIREVAT documentation built on Nov. 19, 2022, 5:55 p.m.