On Efficient Large Sparse Matrix Chain Multiplication
Summary: Novel row-wise sparsity estimator (RS-estimator) for large sparse matrix chains, exploiting matrix structure to get efficient, accurate, theoretically guaranteed intermediate-density estimates. Uses these estimates to choose multiplication order and a parallel SMCM algorithm, yielding up to 1000x speedups on real graph matrices. (summarized by gpt-5.4-mini on May 24 2026)
Incoming Non-self Citations Over Time
Authors
- 1. Chunxu Lin
- 2. Wensheng Luo
- 3. Yixiang Fang
- 4. Chenhao Ma
- 5. Xilin Liu
- 6. Yuchi Ma
Incoming Citations (Sorted by Pagerank)
Showing 2 of 2 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 8,587 | Output-Optimal Algorithms for Join-Aggregate Queries | 2025 | PODS | 4.4853975e-05 |
| 10,562 | Searching and Detecting Structurally Similar Communities in Large Heterogeneous Information Networks | 2025 | VLDB | 4.1905499e-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 |
|---|---|---|---|---|
| 169 | MAD Skills: New Analysis Practices for Big Data | 2009 | VLDB | 0.00038967371 |
| 765 | PathSim: Meta Path-Based Top-K Similarity Search in Heterogeneous Information Networks | 2011 | VLDB | 0.0001695147 |
| 1,665 | The More the Merrier: Efficient Multi-Source Graph Traversal | 2015 | VLDB | 0.00010958779 |
| 2,291 | Effective and Efficient Community Search over Large Heterogeneous Information Networks | 2020 | VLDB | 9.0894835e-05 |
| 4,835 | MNC: Structure-Exploiting Sparsity Estimation for Matrix Expressions | 2019 | SIGMOD | 5.8861112e-05 |
| 5,620 | Influential Community Search over Large Heterogeneous Information Networks | 2023 | VLDB | 5.4066581e-05 |
| 7,892 | M2Bench: A Database Benchmark for Multi-Model Analytic Workloads | 2023 | VLDB | 4.6200834e-05 |
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| 11,341 | Redundancy Elimination in Distributed Matrix Computation | 2022 | SIGMOD | 4.1905499e-05 |
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| 7,117 | Parallel Algorithms for Sparse Matrix Multiplication and Join-Aggregate Queries | 2020 | PODS | 4.8205884e-05 |