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ConceptHomogeneous Partition

Homogeneous Partitioning

A modeling approach that partitions feature space into regions with consistent conditional distributions, derived from sufficient dimension reduction and partition-based modeling ideas and typically realized via decision trees, clustering, or density-based segmentation methods.

Timeline (last 90 days)

Nov 3

The two-step method proposed in the paper is: first, learn a homogeneous partition (atom structure) from the data; second, greedily select atoms to maximize KL divergence under a given support constraint.

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Nov 3

A homogeneous partition means dividing the feature space into several regions such that the conditional distribution of the target variable is the same within each region; if two data points differ in all feature values but have identical conditional distributions, they belong to the same atom.

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Nov 3

Experiments in the paper show that even when the partition is imperfect, greedy selection still yields improvements, and the method is robust to model error.

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