[Verse 1] Picture data points scattered wide across a messy field Each observation holds a secret that we need revealed CART arrives with splitting power, finds the cleanest break Gini measures impurity, shows which path to take [Chorus] Split and conquer, split and conquer Find the feature that divides Purity increases as the algorithm decides Root to leaf, root to leaf Every branch a question posed One tree stands but forests flourish when the wisdom's composed [Verse 2] Start with all your samples bunched together at the top Search through every variable to find the perfect chop Information gain will guide you to the optimal cut Binary decisions flowing down until the splits all shut [Chorus] Split and conquer, split and conquer Find the feature that divides Purity increases as the algorithm decides Root to leaf, root to leaf Every branch a question posed One tree stands but forests flourish when the wisdom's composed [Bridge] Bootstrap sampling builds variety Each tree sees a different view Random features at each junction Bagging makes predictions true Hundred trees vote together Wisdom emerges from the crowd Single models overfit but ensembles sing out loud [Verse 3] Random forests cure the problem when one tree goes astray Correlation drops dramatically when randomness holds sway Out-of-bag provides validation without extra cost Variable importance ranking shows which features get you most [Final Chorus] Split and conquer, split and conquer Multiple trees now harmonize Variance shrinks and bias balances before your very eyes Root to leaf, root to leaf Forests win where singles fail Bootstrap aggregation weaves a more robust tale [Outro] From CART's foundation rises up a mighty grove Random forests show the power when algorithms evolve
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