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Scaling Laws Are Unreliable for Downstream Tasks: A Reality Check (2507.00885v1)

Published 1 Jul 2025 in cs.CL and cs.LG

Abstract: Downstream scaling laws aim to predict task performance at larger scales from pretraining losses at smaller scales. Whether this prediction should be possible is unclear: some works demonstrate that task performance follows clear linear scaling trends under transformation, whereas others point out fundamental challenges to downstream scaling laws, such as emergence and inverse scaling. In this work, we conduct a meta-analysis of existing data on downstream scaling laws, finding that close fit to linear scaling laws only occurs in a minority of cases: 39% of the time. Furthermore, seemingly benign changes to the experimental setting can completely change the scaling trend. Our analysis underscores the need to understand the conditions under which scaling laws succeed. To fully model the relationship between pretraining loss and downstream task performance, we must embrace the cases in which scaling behavior deviates from linear trends.

Summary

  • The paper finds that predictable, linear scaling occurs in only 39% of tasks, contesting the assumption that pretraining loss reliably predicts performance.
  • It demonstrates that variations in pretraining data, validation protocols, and task design critically alter scaling behavior.
  • The research advocates for context-aware evaluation and new theoretical models to improve reliability in practical deployments.

Scaling Laws Are Unreliable for Downstream Tasks: A Critical Assessment

This paper presents a comprehensive meta-analysis of downstream scaling laws in LLMs, challenging the prevailing assumption that improvements in pretraining loss reliably predict downstream task performance. The authors systematically examine the empirical validity of linear scaling laws across a broad set of tasks and experimental conditions, revealing that predictable, linear scaling is the exception rather than the rule.

Summary of Findings

The central claim is that downstream scaling laws are context-dependent and frequently unreliable. The authors analyze 46 downstream tasks and find that only 39% exhibit smooth, predictable improvement as model scale increases. The remaining 61% display irregular behaviors, including inverse scaling, nonmonotonicity, noisiness, trendlessness, or breakthrough (sigmoidal) scaling. This result directly contradicts the notion that downstream performance can be extrapolated from pretraining loss via simple functional forms.

The analysis identifies three primary factors influencing scaling behavior:

  1. Pretraining Data: The choice of pretraining corpus can alter or even reverse observed scaling trends for downstream tasks.
  2. Validation Data: The dataset used to compute validation perplexity significantly affects which pretraining setup appears superior, sometimes exaggerating or inverting trends.
  3. Downstream Task and Experimental Setup: Even with identical pretraining and validation data, minor changes in task formulation, prompt design, or evaluation harness can qualitatively change scaling behavior.

The authors provide concrete examples where changing the validation corpus or downstream task leads to dramatic reversals in which pretraining corpus appears optimal. Furthermore, they demonstrate that scaling laws observed in one experimental setup may not generalize to another, even when using the same corpora and tasks but differing in implementation details.

Taxonomy of Scaling Behaviors

The paper introduces a taxonomy of observed scaling behaviors:

  • Predictable (Linear/Monotonic): Downstream performance improves smoothly with scale.
  • Inverse Scaling: Performance degrades as scale increases.
  • Nonmonotonic: Performance fluctuates with scale, lacking a clear trend.
  • Noisy: High variance obscures any underlying trend.
  • Trendless: No discernible relationship between scale and performance.
  • Breakthrough (Sigmoidal/Emergent): Abrupt improvements occur at specific scales, often associated with emergent capabilities.

This taxonomy is empirically grounded, with visualizations and task-level breakdowns illustrating the prevalence of each behavior.

Implications

Practical Implications

  • Model Selection and Resource Allocation: The unreliability of downstream scaling laws undermines the utility of small-scale proxy experiments for predicting large-scale model performance. Practitioners cannot assume that improvements in pretraining loss or model size will translate to downstream gains without task- and setup-specific validation.
  • Benchmarking and Evaluation: The sensitivity of scaling behavior to experimental details necessitates rigorous, transparent reporting of evaluation protocols. Reproducibility is challenged by the investigator-specific nature of scaling laws.
  • Deployment Risk: Relying on scaling laws for deployment decisions (e.g., when to stop scaling, which pretraining data to use) introduces risk, as extrapolations may fail in unanticipated ways.

Theoretical Implications

  • Limits of Universality: The findings challenge the search for universal scaling laws governing downstream performance. Instead, scaling behavior appears to be a complex function of data, task, and experimental context.
  • Emergence and Inverse Scaling: The prevalence of emergent and inverse scaling phenomena suggests that current theoretical models are insufficient to capture the full range of behaviors observed in practice.
  • Need for New Models: There is a clear need for more nuanced, possibly task- or domain-specific models of scaling, as well as methods for detecting and characterizing irregular scaling regimes.

Numerical Results and Contradictory Claims

  • Only 39% of tasks exhibit predictable, linear scaling under monotonic transformations of pretraining loss.
  • 61% of tasks display irregular scaling, with a substantial fraction showing nonmonotonic, noisy, or trendless behavior.
  • Minor changes in validation data or task formulation can completely reverse observed scaling trends, contradicting the assumption of robustness.

Future Directions

The paper highlights several avenues for future research:

  • Stabilizing Scaling Laws: Developing methods to identify and, where possible, stabilize scaling behavior across tasks and setups.
  • Detecting Irregular Scaling: Creating diagnostic tools for early detection of non-linear or unpredictable scaling regimes.
  • Theoretical Modeling: Advancing theoretical understanding of when and why predictable scaling arises, and under what conditions it fails.
  • Standardization of Evaluation: Promoting standardized, transparent evaluation protocols to facilitate cross-paper comparisons and reproducibility.

Conclusion

This work provides a rigorous reality check on the reliability of downstream scaling laws in LLMs. The evidence presented demonstrates that predictable scaling is not the norm, and that practitioners must empirically verify scaling behavior for each task and experimental setup. The findings call for a shift from universal scaling laws to context-aware, empirically validated models, and underscore the importance of careful experimental design and reporting in scaling studies.

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