New machine learning technique shows how drugs can be repurposed NatureComms
is the nonessential predictors, andare weights of essential and non-essential variants used to predict gene expression levels. The numbers of essential and non-essential predictors are denoted by. The model takes advantage of both LASSO and ridge penalties. Collectively, we call the weight parameters asWe develop a cyclic coordinate descent algorithm to fit the model. We iteratively update the parametersSpecifically, we set the initial parameter valuesto be the least square estimates.
At iteration$${\hat{\beta }}_{1j}^{}=\left\{\begin{array}{cc}}-\alpha \lambda \phi )/\lambda ) & {{{{{\rm{if}}}}}}\,\frac{1}{N}{{{{{{\bf{X}}}}}}}_{1{{{{{\bf{j}}}}}}}^{{{{{{\bf{T}}}}}}}{{{{{{\bf{r}}}}}}}_{1{{{{{\bf{j}}}}}}}^{} \, > \, \alpha \lambda \phi \\ 0 & 0\le \frac{1}{N}{{{{{{\bf{X}}}}}}}_{1{{{{{\bf{j}}}}}}}^{{{{{{\bf{T}}}}}}}{{{{{{\bf{r}}}}}}}_{1{{{{{\bf{j}}}}}}}^{}\,\le\, \alpha \lambda \phi \\ }+\alpha \lambda \phi )/\lambda ) &...
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