The Inherent Time Complexity and An Efficient Algorithm for Subsequence Matching Problem
Summary: SETH-based lower bound: subsequence matching requires ω(n^(1−δ)) time; no O(n^(1−δ)) algorithm even with polynomial preprocessing. Proposes a fast algorithm with a new summarization and index for time-series; supports Euclidean and DTW with/without z-normalization; yields up to 3-10x and 7-12x speedups over state of the art. (summarized by gpt-5-nano on Feb 09 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Zemin Chao
- 2. Hong Gao
- 3. Yinan An
- 4. Jianzhong Li
Incoming Citations (Sorted by Pagerank)
Showing 3 of 3 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 8,985 | TSM-Bench: Benchmarking Time Series Database Systems for Monitoring Applications | 2023 | VLDB | 4.4156106e-05 |
| 10,691 | FSMDTW: A Fast Index-free Subsequence Matching Algorithm for Dynamic Time Warping | 2025 | VLDB | 4.1945683e-05 |
| 11,022 | CIVET: Exploring Compact Index for Variable-Length Subsequence Matching on Time Series | 2024 | VLDB | 4.1945683e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 9 of 9 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 65 | Fast Subsequence Matching in Time-Series Databases | 1994 | SIGMOD | 0.00062029383 |
| 251 | Robust and Fast Similarity Search for Moving Object Trajectories | 2005 | SIGMOD | 0.00030644658 |
| 358 | On The Marriage of Lp-norms and Edit Distance | 2004 | VLDB | 0.0002599481 |
| 1,061 | Warping Indexes with Envelope Transforms for Query by Humming | 2003 | SIGMOD | 0.00014368716 |
| 1,157 | A Data-adaptive and Dynamic Segmentation Index for Whole Matching on Time Series | 2013 | VLDB | 0.00013610658 |
| 3,417 | General Match: A Subsequence Matching Method in Time-Series Databases Based on Generalized Windows | 2002 | SIGMOD | 7.1195863e-05 |
| 3,629 | The Lernaean Hydra of Data Series Similarity Search: An Experimental Evaluation of the State of the Art | 2019 | VLDB | 6.902069e-05 |
| 5,291 | Fast Subtrajectory Similarity Search in Road Networks under Weighted Edit Distance Constraints | 2020 | VLDB | 5.5826473e-05 |
| 5,878 | Ranked Subsequence Matching in Time-Series Databases | 2007 | VLDB | 5.2916009e-05 |
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