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Improving the Predictive Performance of Bootstrap Aggregating by Dirichlet Resampling

Abstract

We revisit Breiman's observation that reducing inter-tree correlation without weakening individual trees can improve random forests. Building on this principle, we introduce two variants: Dirichlet-Multinomial Bagging Random Forest (DM) and Dirichlet-Weighted Random Forest (DW). Both modulate sample reweighting via a concentration parameter α>0. We provide a simple theoretical criterion that clarifies when these variants behave indistinguishably from standard random forests, and we use it to guide a lightweight tuning strategy. In a controlled evaluation on public classification benchmarks, DM and DW are consistently competitive and often stronger than other random-forest (RF) baselines, with negligible additional runtime.

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BibTeX
@misc{le2026improving,
  title = {{Improving the Predictive Performance of Bootstrap Aggregating by Dirichlet Resampling}},
  author = {Quoc Viet Le and Joonha Park},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21454},
  eprint = {2609.21454},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.21454},
}
RIS
TY  - UNPB
TI  - Improving the Predictive Performance of Bootstrap Aggregating by Dirichlet Resampling
AU  - Quoc Viet Le
AU  - Joonha Park
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.21454
UR  - https://arxiv.org/abs/2609.21454
AB  - We revisit Breiman's observation that reducing inter-tree correlation without weakening individual trees can improve random forests. Building on this principle, we introduce two variants: Dirichlet-Multinomial Bagging Random Forest (DM) and Dirichlet-Weighted Random Forest (DW). Both modulate sample reweighting via a concentration parameter α>0. We provide a simple theoretical criterion that clarifies when these variants behave indistinguishably from standard random forests, and we use it to guide a lightweight tuning strategy. In a controlled evaluation on public classification benchmarks, DM and DW are consistently competitive and often stronger than other random-forest (RF) baselines, with negligible additional runtime.
ER  -