How does max_features affect a random forest?
Simple meaning
A smaller feature subset at each split makes trees more diverse and usually lowers correlation among them.
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A smaller feature subset at each split makes trees more diverse and usually lowers correlation among them.
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Impurity importance favors high-cardinality and correlated features.
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Extremely randomized trees pick split thresholds more randomly, not just the feature subset.
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Gradient boosting fits each new tree to the gradient of the loss with respect to the current ensemble prediction.
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The learning rate shrinks each new tree's contribution so later trees correct more gently.
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AdaBoost reweights training rows so misclassified points get more attention in the next weak learner.
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Boosting keeps chasing remaining train error, so extra rounds can fit noise.
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C trades off margin width against training mistakes.
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Both are linear classifiers.
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RBF SVMs scale badly with n because they depend on many support vectors.
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Classification votes among the K neighbors.
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In high dimensions, distances concentrate and nearest neighbors stop being truly near.
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Closer neighbors can vote more than far ones, which softens the effect of a clumsy K.
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Silhouette compares how close a point is to its own cluster versus the next nearest cluster.
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DBSCAN grows clusters from dense neighborhoods and labels sparse points as noise.
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Inertia always falls as K grows, even when extra clusters are meaningless.
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Use internal scores such as silhouette or Davies-Bouldin, plus visual checks on a 2D projection.
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Look at the explained-variance ratio and keep components until a target such as 90 or 95 percent is reached.
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PCA is better when many correlated numeric features share a low-dimensional subspace and you mainly need compression.
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Trees split on original features and can ignore irrelevant axes without rotation.
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