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Computational Budget Should Be Considered in Data Selection

NeurIPS 2025 · Learning theory and algorithms › Prediction and decision losses · approach: Active learning and subset selection · 0 citations (OpenAlex)

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Proposes CADS, a compute-budget-aware data selection method that formulates subset selection as bilevel optimization solved via probabilistic reparameterization, a Hessian-free policy gradient, and a penalty-based relaxation with a fitted loss surrogate.

Problem

Existing data selection methods ignore the compute budget, even though no selection algorithm consistently beats random selection across budgets and the best data depends on how much compute is available.

Approach

Treat the compute budget as an explicit constraint in data selection: learn per-example (CADS-E) or per-source (CADS-S) sampling probabilities via policy gradients on a penalty-relaxed bilevel objective, where the inner training loss is replaced by a log-linear/cubic-spline surrogate fitted as a function of subset size.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Bilevel-CADS instead of CADS-ECADS on MNIST · MNIST, 10,000 compute budgetaccuracy: 90.62 -> 90.70Helped
Use Bilevel-CADS instead of CADS-ECADS on MNIST · MNIST, 20,000 compute budgetaccuracy: 91.48 -> 92.44Helped
Use Bilevel-CADS instead of CADS-ECADS on MNIST · MNIST, 50,000 compute budgetaccuracy: 92.45 -> 93.09Helped
Use Bilevel-CADS instead of CADS-ECADS on MNIST · MNIST, 100,000 compute budgetaccuracy: 93.17 -> 93.61Helped
Use 5 rather than 4 estimator sampling points (ablation)CADS loss estimator · CIFAR-10MSE: 0.057668 -> 0.016326Helped
Increase estimator sampling points from 5 to 6 (ablation)CADS loss estimator · CIFAR-10MSE: 0.016326 -> 0.018594Hurt
Increase estimator sampling points from 5 to 7 (ablation)CADS loss estimator · CIFAR-10MSE: 0.016326 -> 0.020031Hurt
Increase estimator sampling points from 5 to 8 (ablation)CADS loss estimator · CIFAR-10MSE: 0.016326 -> 0.017905Hurt

Surprising findings

Limitations

Experimental setup

Datasets: MNIST CIFAR-10 DomainNet Alpaca-GPT4 Alpaca SlimOrca GPTeacher multilingual Alpaca variants

Benchmarks: MNIST CIFAR-10 DomainNet instruction tuning perplexity over 13 Alpaca-style datasets

Metrics: test accuracy validation loss perplexity wall-clock runtime speed-up factor

Baselines: Random selection PBCS Forgetting Scores GraNd EL2N Influence Functions Data Shapley Greedy Coreset

Builds on: PBCS (probabilistic bilevel coreset selection) REINFORCE ScaleBiO DARTS

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