Research map / Learning theory and algorithms / Submodular and game algorithms
Submodular Streaming in All Its Glory: Tight Approximation, Minimum Memory and Low Adaptive Complexity
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use the lower bound from the best current threshold solution to prune low thresholds and bound stored set sizes | SIEVE-STREAMING++ · Monotone submodular maximization, cardinality constraint k | memory complexity: $O(\nicefrac{k \log (k)}{\varepsilon})$ -> $O(\nicefrac{k}{\varepsilon})$ | Helped |
| Use the lower-bound-based threshold pruning modification | SIEVE-STREAMING++ · Monotone submodular maximization, cardinality constraint k | approximation ratio: $\nicefrac{1}{2} - \varepsilon$ -> $\nicefrac{1}{2} - \varepsilon$ | No clear effect |
| Buffer stream elements and use parallel threshold sampling and filtering | Hybrid · Monotone submodular maximization, cardinality constraint k | adaptive complexity: $\Omega(n)$ -> $O(\frac{N \log (\texttt{B}) \log (k)}{\texttt{B} \varepsilon} )$ | Helped |
| Use buffered sampling rather than per-element streaming updates | Hybrid · Monotone submodular maximization, cardinality constraint k | approximation ratio: $\nicefrac{1}{2} - \varepsilon$ -> $\nicefrac{1}{2} - \nicefrac{3 \varepsilon}{2}$ | Hurt |
| Increase buffer size | Hybrid · Twitter summarization | utility | No clear effect |
| Increase ε | Hybrid · Twitter summarization | adaptive rounds | Helped |
| Increase ε | SIEVE-STREAMING++ · Twitter summarization | utility | Mixed |
| Use larger sampling batches to combine R consecutive adaptive rounds | Hybrid sampling · Twitter and YouTube summarization | communication cost | Hurt |
| Use larger sampling batches to combine R consecutive adaptive rounds | Hybrid sampling · Twitter and YouTube summarization | adaptive rounds | Helped |
| Use the proposed SIEVE-STREAMING++ memory modification | SIEVE-STREAMING++ versus SIEVE-STREAMING · YouTube video summarization | utility | No clear effect |
| Use SIEVE-STREAMING++ instead of Streaming-Preemption | Single-source streaming · YouTube video summarization | utility | Helped |
| Use Hybrid or One instead of SIEVE-STREAMING++ | Multi-source streaming · Twitter summarization | utility | Mixed |
Closest papers by meaning
- Do Less, Get More: Streaming Submodular Maximization with Subsampling (NeurIPS 2018 · similarity 0.91)
- Streaming Non-Monotone Submodular Maximization: Personalized Video Summarization on the Fly (AAAI 2018 · similarity 0.91)
- Streaming k-Submodular Maximization under Noise subject to Size Constraint (ICML 2020 · similarity 0.91)
- Streaming Stochastic Submodular Maximization with On-Demand User Requests (NeurIPS 2025 · similarity 0.88)
- Online and Streaming Algorithms for Constrained k-Submodular Maximization (AAAI 2025 · similarity 0.86)
- Consistent Submodular Maximization (ICML 2024 · similarity 0.86)
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