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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 demonstrates that downstream scaling laws are unreliable, with only 39% of tasks exhibiting predictable linear improvements.
  • It uses a meta-analysis of 46 tasks to reveal how variations in pretraining data, validation methods, and experimental setups influence scaling behavior.
  • The study highlights the need for transparent, context-specific evaluation to guide resource allocation and develop robust performance models.

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 pretraining loss is a universal surrogate for downstream performance.

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 a given downstream task.
  2. Validation Data: The dataset used to compute validation perplexity significantly affects which pretraining setup appears superior, sometimes exaggerating or inverting performance differences.
  3. Experimental Setup: Variations in model architecture, task formatting, or evaluation protocol can qualitatively change scaling behavior, even when using the same corpora and tasks.

The authors provide concrete examples where minor changes in these factors lead to dramatic shifts in scaling trends, undermining the generalizability of previously reported scaling laws.

Empirical Evidence

The paper revisits the 46 tasks from Gadre et al. (2024), classifying their scaling behaviors into six categories: predictable (linear), inverse, nonmonotonic, noisy, trendless, and breakthrough. Only 18 tasks (39%) fit a linear scaling law after appropriate transformation of the cross-entropy loss. The remainder exhibit substantial deviations, with many tasks showing emergent or inverse scaling phenomena.

Further, the authors compare results from two independent studies using overlapping tasks and corpora but differing in implementation details. They demonstrate that even with the same validation data and downstream tasks, scaling trends can differ qualitatively between studies, highlighting the sensitivity of scaling laws to experimental choices.

Implications

Practical Implications

  • Model Selection and Resource Allocation: The unreliability of downstream scaling laws complicates the use of small-scale experiments to predict large-scale model performance. Practitioners cannot assume that improvements in pretraining loss will translate to downstream gains, necessitating direct evaluation on target tasks.
  • Benchmarking and Reporting: The context-specific nature of scaling laws underscores the need for transparent reporting of experimental setups, including pretraining and validation data, task formulations, and evaluation protocols.
  • Deployment Risk: Relying on scaling laws for deployment decisions may lead to suboptimal or even regressive outcomes on certain tasks, especially those prone to emergence or inverse scaling.

Theoretical Implications

  • Limits of Extrapolation: The findings challenge the theoretical foundation of scaling laws as global predictors of model behavior, suggesting that the relationship between pretraining loss and downstream performance is more complex and task-dependent than previously assumed.
  • Emergence and Structural Breaks: The prevalence of emergent and nonmonotonic behaviors calls for new theoretical models that can account for structural breaks and nonlinearity in scaling curves.
  • Need for Holistic Models: The results motivate the development of more nuanced, possibly multi-factorial models of scaling that incorporate data, task, and experimental variables.

Future Directions

The paper suggests several avenues for future research:

  • Stabilizing Scaling Laws: Investigate methods to make scaling behavior more robust across tasks and experimental setups, potentially through improved pretraining objectives, data selection, or evaluation metrics.
  • Detection of Irregular Scaling: Develop diagnostic tools to identify when scaling laws are likely to fail, enabling practitioners to anticipate and mitigate unreliable extrapolations.
  • Theoretical Modeling: Formulate new theoretical frameworks that explain both predictable and irregular scaling, with an emphasis on understanding the conditions under which linearity holds or breaks down.
  • Standardization of Experimental Protocols: Encourage the community to adopt standardized benchmarks and reporting practices to facilitate reproducibility and comparability of scaling law studies.

Conclusion

This work provides a rigorous reality check on the reliability of downstream scaling laws in LLMs. By demonstrating that linear scaling is not the norm and that scaling behavior is highly sensitive to data and experimental choices, the paper calls for a reassessment of how scaling laws are used in both research and practice. The findings highlight the necessity of empirical verification of scaling trends for each specific context and motivate the search for more robust and theoretically grounded models of scaling in deep learning.

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