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Taming Hyperparameter Sensitivity in Data Attribution: Practical Selection Without Costly Retraining
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Large-scale study of hyperparameter sensitivity of data attribution methods (IF variants, TracIn, TRAK, LoGra), plus a theory-driven retraining-free surrogate indicator for selecting the influence-function regularization λ.
Problem
Hyperparameters of data attribution methods are under-explored, and standard evaluation metrics (LOO, LDS) require many subset retrainings, making hyperparameter tuning prohibitively expensive.
Approach
Derives a population Pearson LDS proxy and a sufficient condition for its monotonicity in the regularization λ, yielding a surrogate indicator computed from the full-data model alone; choose λ where the indicator's validation average crosses 0.5.
Key results
- Increasing regularization from 1e-4 to 1e-2 for IF (CG) yields about a 3x increase in LDS.
- The proposed surrogate-indicator selection yields LDS significantly better than lambda=0 and is often close to optimal across six IFFIM/TRAK settings.
- No single fixed spectrum quantile for the baseline heuristic consistently performs well.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Increase regularization from 1e-4 to 1e-2 | IF (CG) · MNIST+MLP | LDS: 3× increase | Helped |
| Set training epoch to 5 | TRAK · MNIST+MLP and CIFAR-2+ResNet-9 | LDS | Mixed |
| Increase projection dimension while tuning regularization | TRAK · Multiple experimental settings | LDS | Helped |
| Use high projection dimension with low regularization | TRAK · Multiple experimental settings | LDS | Hurt |
| Select regularization with the surrogate-indicator procedure instead of setting λ=0 | IFFIM · Multiple experimental settings | LDS | Helped |
| Select regularization with the surrogate-indicator procedure instead of a fixed spectrum quantile | IFFIM and TRAK · Multiple experimental settings | LDS | Helped |
| Use the surrogate-indicator procedure to select regularization | TRAK · Various experimental settings with different projection dimensions | LDS | Helped |
| Use a larger training epoch for attribution scoring | Multiple data attribution methods · Multiple experimental settings | LDS | Hurt |
Surprising findings
- Larger training epoch of the checkpoint used for attribution can lead to worse LDS, counter-intuitively.
- The apparent decline of TRAK LDS with higher projection dimension is due to insufficient regularization tuning rather than an intrinsic effect.
Limitations
- Theory and selection focus only on the regularization term of influence-function-style methods.
- Evaluation relies primarily on LDS; other metrics not examined.
- Some theoretical assumptions do not always strictly hold, per the authors.
Experimental setup
Datasets: MNIST CIFAR-2 WikiText2 MAESTRO
Benchmarks: LDS on MNIST+MLP LDS on CIFAR-2+ResNet-9 LDS on WikiText2+GPT2 LDS on MAESTRO+MusicTransformer data selection downstream model performance drop
Metrics: Linear Datamodeling Score performance drop after removing top influential data
Baselines: spectrum-based quantile heuristic for lambda lambda=0
Builds on: influence functions TRAK LoGra TracIn linear datamodeling score
Closest papers by meaning
- $\texttt{dattri}$: A Library for Efficient Data Attribution (NeurIPS 2024 · similarity 0.88)
- Final-Model-Only Data Attribution with a Unifying View of Gradient-Based Methods (NeurIPS 2025 · similarity 0.88)
- quanda: An Interpretability Toolkit for Training Data Attribution Evaluation (NeurIPS 2026 · similarity 0.87)
- Enhancing Training Data Attribution with Representational Optimization (NeurIPS 2025 · similarity 0.86)
- Capturing the Temporal Dependence of Training Data Influence (ICLR 2025 · similarity 0.86)
- DATE-LM: Benchmarking Data Attribution Evaluation for Large Language Models (NeurIPS 2025 · similarity 0.85)
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