Research map / Learning theory and algorithms / Prediction and decision losses
Nested Mini-Batch K-Means
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Nested mini-batches with triangle-inequality bounds (nmbatch) instead of uniform mini-batches (mbatch) | nmbatch · 3 dense datasets | time to reach 2% of E*: 10x to 100x earlier | Helped |
| nmbatch instead of mbatch on sparse RCV1 | nmbatch · RCV1 | time to reach 0.5% of E*: 0.5% | Helped |
| nmbatch versus exact algorithms (lloyd, yinyang) on final energy | nmbatch · all datasets | final validation energy | No clear effect |
| Large doubling threshold rho in {10,100,1000} with bounds (ablation) | nmbatch · all datasets | time-energy: 10^2 vs 10^3 | No clear effect |
| Use rho=10 instead of larger rho with bounds disabled (ablation) | nmbatch.deact · all datasets | time-energy: 10^1 vs 10^2, 10^3 | Helped |
| Remove old assignments in mbatch (mbatch.remove) (ablation) | mbatch · all datasets | time-energy | Helped |
| Deactivate bound test in nmbatch (nmbatch.deact) (ablation) | nmbatch · all datasets | time-energy | Hurt |
| nmbatch.deact versus mbatch.remove (ablation) | nmbatch.deact · all datasets | time-energy | Mixed |
| Own mbatch implementation versus scikit-learn on INFMNIST | mbatch · INFMNIST | time (s): 20.6 -> 12.4 | Helped |
| Own mbatch implementation versus scikit-learn on RCV1 | mbatch · RCV1 | time (s): 63.6 -> 15.2 | Helped |
| Own mbatch implementation versus sofia on RCV1 | mbatch · RCV1 | time (s): 23.3 -> 15.2 | Helped |
Closest papers by meaning
- Mini-batch $k$-means terminates within $O(d/\epsilon)$ iterations (ICLR 2023 · similarity 0.86)
- Improved Learning-augmented Algorithms for k-means and k-medians Clustering (ICLR 2023 · similarity 0.86)
- Clustering Small Samples With Quality Guarantees: Adaptivity With One2all PPS (AAAI 2018 · similarity 0.86)
- Simple, Scalable and Effective Clustering via One-Dimensional Projections (NeurIPS 2023 · similarity 0.85)
- Near-Linear Time Approximation Algorithms for k-means with Outliers (ICML 2024 · similarity 0.85)
- Power k-Means Clustering (ICML 2019 · similarity 0.85)
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