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Efficient Lifelong Model Evaluation in an Era of Rapid Progress
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Proposes Sort & Search, a dynamic-programming method that ranks test samples by difficulty using cached per-model correctness and sub-samples a few samples to efficiently estimate sample-level accuracy of new models, evaluated on new Lifelong-CIFAR10 and Lifelong-ImageNet benchmarks.
Problem
Evaluating a growing number of models on an ever-expanding pool of test samples is prohibitively expensive (O(|D||M|) cost), so efficient instance-level performance prediction is needed for lifelong benchmarks.
Approach
Sort test samples by difficulty using a cache of prior model correctness (sort-by-sum, with a DP-based threshold search), then evaluate new models only on a small uniformly sampled subset and extrapolate a single threshold-based prediction vector, achieving O(|D| log|D|) cost and minimal memory.
Key results
- Sort & Search reduces evaluation compute from 180 GPU days to 5 GPU hours (~1000x) on a single A100 with MAE around 0.15-0.17 using ~100 samples in the sample-insertion setting.
- MAE decays exponentially with sampling budget n' (fitted decay coefficients b of 0.04 and 0.02).
- Sort by sum reaches MAE < 0.15 on sample difficulty estimation with only 64 of 31,250 models evaluated (~10^4x savings).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use Sort & Search rather than full evaluation | Lifelong-CIFAR10 and Lifelong-ImageNet · Lifelong-CIFAR10 and Lifelong-ImageNet | evaluation cost reduction: ~1000x reduction; from 180 GPU days to 5 GPU hours | Helped |
| use Sort & Search with n'=100 samples instead of aggregate-accuracy prediction | Lifelong-CIFAR10 and Lifelong-ImageNet · Lifelong-CIFAR10 and Lifelong-ImageNet | sample-level MAE: 0.4-0.5 -> 0.15-0.17 | Helped |
| remove the Sort component and use random sampling (CopyNearest&Expand) (ablation) | Sort & Search · Lifelong-CIFAR10 and Lifelong-ImageNet | MAE: 1% lower MAE at n'=8192 with S&S | Hurt |
| replace Sorting by Sum with Sorting by Recursive Sum (ablation) | Sort & Search · Lifelong-ImageNet | MAE: 0.5% boost in MAE at all n'>1,024 | Helped |
| replace Sorting by Sum with Sorting by Confidence Sum (ablation) | Sort & Search · Lifelong-ImageNet | MAE | Hurt |
| reduce the number of Sort-models from 50 to 10 (ablation) | Sort & Search · Lifelong-ImageNet | MAE: 2% difference at convergence | Hurt |
| use uniform rather than random sample selection (ablation) | Sort & Search · Lifelong-ImageNet | MAE: 5% lower MAE at n'=8 | Helped |
| use random rather than uniform sample selection (ablation) | Sort & Search · Lifelong-ImageNet | MAE: 5% lower MAE at n'=8 with uniform sampling | Hurt |
| evaluate with a larger sample budget | Sort & Search · Lifelong-CIFAR10 and Lifelong-ImageNet | MAE | Helped |
Surprising findings
- Overall-accuracy prediction metric can be optimal (zero error) while sample-level predictions are 40-50% wrong, showing aggregate accuracy error is an unreliable metric.
- All model pairs on Lifelong-ImageNet show positive prediction correlations with no anti-correlated cliques, supporting a single global ranking.
Limitations
- Relies on a single global ranking of samples, which is noisy and creates an irreducible aleatoric error.
- Evaluated only on image classification with trained classifiers, not foundation models.
- Metric-based analysis relies on MAE which can be misleading; ranking-level validation shows only moderate Spearman correlation (~0.5).
Experimental setup
Datasets: CIFAR10 CIFAR10.1 CIFAR10.2 CINIC10 CIFAR10-W CIFAR10-C ImageNet ImageNet-A ObjectNet ImageNet-V2 ImageNet-R ImageNet-Sketch
Benchmarks: Lifelong-CIFAR10 Lifelong-ImageNet
Metrics: mean absolute error compute savings Spearman correlation memory cost
Baselines: CopyNearest&Expand Anchor Point Sampling IRT-Clustering Sorting by Confidence Sum Random sampling
Builds on: computerized adaptive testing Model Spider NATS-Bench
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