Approximating Median Absolute Deviation with Bounded Error
Summary: OPMAD is the first fully mergeable, one-pass sketch for approximating median absolute deviation (MAD), avoiding the O(n)-space cost of two exact median computations. TP-MAD provides (ε,1)-accuracy in O(n+m log m) time and O(m) space, with Spark/Structured Streaming implementations. (summarized by gpt-5.6-luna on Jul 24 2026)
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Authors
- 1. Zhiwei Chen (Tsinghua University)
- 2. Shaoxu Song (Tsinghua University)
- 3. Ziheng Wei (Huawei)
- 4. Jingyun Fang (Huawei)
- 5. Jiang Long (Huawei)
BibTeX Citation
@article{chen_vldb21,
title = {{Approximating Median Absolute Deviation with Bounded Error}},
author = {Chen, Zhiwei and Song, Shaoxu and Wei, Ziheng and Fang, Jingyun and Long, Jiang},
journal = {PVLDB},
series = {{VLDB} '21},
volume = {14},
number = {11},
pages = {2114--2126},
doi = {10.14778/3476249.3476266},
url = {https://doi.org/10.14778/3476249.3476266},
year = {2021}
}Incoming Citations (Sorted by Pagerank)
Showing 5 of 5 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 3,793 | Apache IoTDB: A Time Series Database for IoT Applications | 2023 | SIGMOD | 7.1217835e-05 |
| 9,386 | Determining Exact Quantiles with Randomized Summaries | 2024 | SIGMOD | 5.2755515e-05 |
| 10,487 | Quantile Estimation with Duplicates | 2026 | SIGMOD | 5.093636e-05 |
| 10,675 | Randomized Sketches for Quantile in LSM-tree based Store | 2025 | SIGMOD | 5.093636e-05 |
| 11,450 | CORE-Sketch: On Exact Computation of Median Absolute Deviation with Limited Space | 2023 | VLDB | 5.093636e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 7 of 7 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 82 | Space-Efficient Online Computation of Quantile Summaries | 2001 | SIGMOD | 0.00036378991 |
| 451 | Mergeable Summaries | 2012 | PODS | 0.00018151445 |
| 1,190 | Structured Streaming: A Declarative API for Real-Time Applications in Apache Spark | 2018 | SIGMOD | 0.00011743246 |
| 2,455 | DDSketch: A Fast and Fully-Mergeable Quantile Sketch with Relative-Error Guarantees | 2019 | VLDB | 8.5552968e-05 |
| 2,747 | Moment-Based Quantile Sketches for Efficient High Cardinality Aggregation Queries | 2018 | VLDB | 8.1711208e-05 |
| 5,539 | TcpRT: Instrument and Diagnostic Analysis System for Service Quality of Cloud Databases at Massive Scale in Real-time | 2018 | SIGMOD | 6.1817228e-05 |
| 6,186 | SCREEN: Stream Data Cleaning under Speed Constraints | 2015 | SIGMOD | 5.9487817e-05 |
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