dorsal/arxiv
View SchemaEfficient Data Reduction Via PCA-Guided Quantile Based Sampling
| Authors | Foo Hui-Mean, Yuan-chin Ivan Chang |
|---|---|
| Categories | |
| ArXiv ID | 2601.06375vv1 |
| URL | https://arxiv.org/abs/2601.06375 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
In large-scale statistical modeling, reducing data size through subsampling is essential for balancing computational efficiency and statistical accuracy. We propose a new method, Principal Component Analysis guided Quantile Sampling (PCA-QS), which projects data onto principal components and applies quantile-based sampling to retain representative and diverse subsets. Compared with uniform random sampling, leverage score sampling, and coreset methods, PCA-QS consistently achieves lower mean squared error and better preservation of key data characteristics, while also being computationally efficient. This approach is adaptable to a variety of data scenarios and shows strong potential for broad applications in statistical computing.
{
"annotation_id": "1698cc4f-7de6-4aeb-90a6-24ec671c1d9b",
"date_created": "2026-02-17T05:53:07.569000Z",
"date_modified": "2026-02-17T05:53:07.569000Z",
"file_hash": "4a4b64a52169b18121d7b7d9385c25c254b3c3b83e4924da25c6a2001888e715",
"private": false,
"record": {
"abstract": "In large-scale statistical modeling, reducing data size through subsampling is essential for balancing computational efficiency and statistical accuracy. We propose a new method, Principal Component Analysis guided Quantile Sampling (PCA-QS), which projects data onto principal components and applies quantile-based sampling to retain representative and diverse subsets. Compared with uniform random sampling, leverage score sampling, and coreset methods, PCA-QS consistently achieves lower mean squared error and better preservation of key data characteristics, while also being computationally efficient. This approach is adaptable to a variety of data scenarios and shows strong potential for broad applications in statistical computing.",
"arxiv_id": "2601.06375",
"authors": [
"Foo Hui-Mean",
"Yuan-chin Ivan Chang"
],
"categories": [
"stat.CO",
"stat.AP"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Efficient Data Reduction Via PCA-Guided Quantile Based Sampling",
"url": "https://arxiv.org/abs/2601.06375",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "121cf306-e406-424e-aa4e-8d1212de2c1f",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}