Heatmaps Given two matrices, this function plots heatmaps for each one with a fixed colour scale to allow for comparison. heatmap_scale = function(matrix1, matrix2){ global_min <- min(ma...

Below I give my Linux binaries CTVsuggestTrain_train_model.sh #!/bin/bash cd /home/zl22291@bristol.ac.uk/Documents/Projects/CTVsuggestTrain/ # Ask the user for confirmation read -p "Do you want...

From this answer: [\begin{align} |Ax|_2 \leq |A|_F |x|_2 \end{align}] From this question can do better with: [\begin{align} |Ax|_2 \leq |A|_2 |x|_2 \end{align}] where $|A|_2$ is the spectral no...

References Introduction to nonlinear optimization - Amir Beck Matteo theory of inference note chapter 8 is on MLE and talks about optimisation. Says stuff like: The terminolog...

Finding C source code for internal R functions library("pryr") show_c_source(.Internal(backsolve()))

Confounding variables A classical example of a confounding variable, and that correlation does not imply causation, is the incorrect assumption that an increase in ice cream sales causes an increa...

References: Online lecture notes Projections In linear algebra a projection is a linear map from a vector space to itself $P:V \rightarrow V$, often a subspace, such that [P^2 = P] From thi...

Explain each of the R diagnostic plots for linear regression Give example of linear regression with time series dataset. Plotting autocorrelation of residuals. And plotting residuals vs f...