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Pasting Ensemble

Ensemble method that builds multiple models on random subsets of the training data, without replacement, to reduce variance and improve generalization.

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Sampling without Replacement

Observation selection technique where each chosen element is removed from the population, ensuring unique subsets as in pasting.

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Sampling with Replacement

Method where observations can be selected multiple times in the same sample, a fundamental characteristic of bagging.

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Training Subset

Portion of the training data used to build an individual model in an ensemble method, with or without replacement depending on the technique.

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Prediction Aggregation

Process of combining individual predictions from ensemble models, typically by majority vote (classification) or averaging (regression).

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Model Diversity

Principle that ensemble models must be different for aggregation to be effective, achieved through varied data subsets.

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Random Subspace Sampling

Extension of bagging where models are trained on random subsets of features in addition to observation subsets.

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Pasting Small Samples

Pasting variant using reduced-size subsets to speed up training while maintaining model diversity.

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Model Variance

Model sensitivity to variations in training data, which ensemble methods like bagging specifically aim to reduce.

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Prediction Stability

A model's ability to produce consistent predictions in the face of slight variations in training data, improved by ensemble methods.

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Parallel Ensemble Training

Advantage of bagging and pasting allowing simultaneous training of base models on different data subsets.

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Sample Complexity

Number of samples needed to achieve a certain performance, potentially reduced by effective ensemble methods.

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