Gemstones: A Model Suite for Multi-Faceted Scaling Laws
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Abstract (arXiv)
Scaling laws are typically fit using a family of models with a narrow range of frozen hyperparameter choices. In this work we study scaling laws using multiple architectural shapes and hyperparameter choices, highlighting their impact on resulting prescriptions. As a primary artifact of our research, we release the Gemstones: an open-source scaling law dataset, consisting of over 4000 checkpoints from transformers with up to 2 billion parameters and diverse architectural shapes; including ablations over learning rate and cooldown. Our checkpoints enable more complex studies of scaling, such as analyzing the relationship between width and depth. By examining our model suite, we find that the prescriptions of scaling laws can be highly sensitive to the experimental design process and the specific model checkpoints used during fitting.
Key facts. Cited by 20 papers in the map (data through 14 Oct 2026). Builds on 62 of its 80 references that are in the map. First posted on arXiv 7 Feb 2025.
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62 of 80 references.
References · 62
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50 most cited of 62 All 62 (JSON)
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Citing papers per year: 2025: 9; 2026: 11.
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- 2026Gated Recurrent Transformers: Expressive Depth through Recurrent Modulation15 Aug 2026
- 2026Compute-Optimal Is Not Cluster-Optimal: Systems-Aware Scaling for Sparse Mixture-of-Experts11 Aug 2026
- 2026VAIOM: Continuous-Input, Discrete-Output Decoder-Only Financial Sequence Modeling15 Jul 2026
- 2026Will Scaling Improve Social Simulation with LLMs?2 Jul 2026
- 2026Variable-Width Transformers16 Jun 2026
- 2026The Model Shape Behind Scaling Laws: A Gradient Superposition Perspective27 May 2026
- 2026Revisiting the Shape Convention of Transformer Language Models6 Feb 2026
- 2025Hyperparameter Transfer Enables Consistent Gains of Matrix-Preconditioned Optimizers Across Scales5 Dec 2025
8 more
- 2025Teaching Pretrained Language Models to Think Deeper with Retrofitted Recurrence10 Nov 2025
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- 2025Scaling Collapse Reveals Universal Dynamics in Compute-Optimally Trained Neural Networks2 Jul 2025
- 2025Practical Efficiency of Muon for Pretraining4 May 2025
- 2025Don't be lazy: CompleteP enables compute-efficient deep transformers2 May 2025
- 2026Abra: Scaling Diffusion Image Trainingcited by 1
- 2026Abra: Scaling Diffusion Image Training18 Aug 2026
- 2025Practical Efficiency of Muon for Pretrainingcited by 80
- 2025Don't be lazy: CompleteP enables compute-efficient deep transformerscited by 78
- 2025Scaling Laws for Optimal Data Mixturescited by 52
- 2025Scaling Collapse Reveals Universal Dynamics in Compute-Optimally Trained Neural Networkscited by 22
- 2025Hyperparameter Transfer Enables Consistent Gains of Matrix-Preconditioned Optimizers Across Scalescited by 21
- 2025Relative Scaling Laws for LLMscited by 6
- 2025Benchmarking Correctness and Security in Multi-Turn Code Generationcited by 4
- 2026Gated Recurrent Transformers: Expressive Depth through Recurrent Modulationcited by 4
- 2025xLSTM Scaling Laws: Competitive Performance with Linear Time-Complexitycited by 3
- 2026Variable-Width Transformerscited by 1
- 2026DepthBench: Measuring How Residual Connections Enable More Computational Depthcited by 1
- 2026The Model Shape Behind Scaling Laws: A Gradient Superposition Perspectivecited by 0
12 most cited of 16 All 16 (JSON)
- 2026SLDBench v2: Active Scaling Law Discovery12 Oct 2026
- 2026ScAn-Bench: Evaluating Scaling Analysis Methodology28 Sep 2026
- 2026DepthBench: Measuring How Residual Connections Enable More Computational Depth26 Sep 2026
- 2026Gated Recurrent Transformers: Expressive Depth through Recurrent Modulation15 Aug 2026
- 2026VAIOM: Continuous-Input, Discrete-Output Decoder-Only Financial Sequence Modeling15 Jul 2026
- 2026Will Scaling Improve Social Simulation with LLMs?2 Jul 2026
- 2026Variable-Width Transformers16 Jun 2026
- 2026The Model Shape Behind Scaling Laws: A Gradient Superposition Perspective27 May 2026
- 2025Hyperparameter Transfer Enables Consistent Gains of Matrix-Preconditioned Optimizers Across Scales5 Dec 2025
- 2025Relative Scaling Laws for LLMs28 Oct 2025
- 2025Benchmarking Correctness and Security in Multi-Turn Code Generation13 Oct 2025
- 2025xLSTM Scaling Laws: Competitive Performance with Linear Time-Complexity2 Oct 2025
12 newest of 16 All 16 (JSON)