Gemstones: A Model Suite for Multi-Faceted Scaling Laws
Sean McLeish, John Kirchenbauer, David Yu Miller, Siddharth Singh, Abhinav Bhatele, Micah Goldblum, Ashwinee Panda, Tom Goldstein
Abstract
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. Code: github.com/mcleish7/gemstone-scaling-laws
Ask about this paper
Your agent reads all of it.
Lune indexed this paper to the last equation, along with the top-tier papers that cite it. Ask a question and the answer quotes them.
Your agent calls
Luneget_paper_fulltext
Free to start. No credit card required.
Terminal
Install the CLIlune papers fulltext 13ce4aae-bc81-4ffa-a415-e3bb683312bcCited by top-tier papers7
- Don't be lazy: CompleteP enables compute-efficient deep transformersNolan Dey, Bin Claire Zhang, Lorenzo Noci, Mufan Bill Li et al.NeurIPS 2025 · 77 citations
- Scaling Laws for Optimal Data MixturesMustafa Shukor, Louis Béthune, Dan Busbridge, David Grangier et al.NeurIPS 2025 · 54 citations
- Hyperparameter Transfer Enables Consistent Gains of Matrix-Preconditioned Optimizers Across ScalesShikai Qiu, Charlie Chen, Hoang Phan, Qi Lei et al.NeurIPS 2025 · 17 citations
- xLSTM Scaling Laws: Competitive Performance with Linear Time-ComplexityMaximilian Beck, Kajetan Schweighofer, Sebastian Böck, Sebastian Lehner et al.ICLR 2026 · 3 citations
- Parameters vs FLOPs: Scaling Laws for Optimal Sparsity for Mixture-of-Experts Language ModelsSamira Abnar, Harshay Shah, Dan Busbridge, Alaaeldin El-Nouby et al.ICML 2025
Builds on34
- Measuring Massive Multitask Language UnderstandingDan Hendrycks, Collin Burns, Steven Basart, Andy Zou et al.ICLR 2021 · 7,905 citations
- WinoGrande: An Adversarial Winograd Schema Challenge at ScaleKeisuke Sakaguchi, Ronan Le Bras, Chandra Bhagavatula, Yejin ChoiAAAI 2020 · 3,037 citations
- PIQA: Reasoning about Physical Commonsense in Natural LanguageYonatan Bisk, Rowan Zellers, Ronan Le Bras, Jianfeng Gao et al.AAAI 2020 · 2,916 citations
- Pythia: A Suite for Analyzing Large Language Models Across Training and ScalingStella Biderman, Hailey Schoelkopf, Quentin Gregory Anthony, Herbie Bradley et al.ICML 2023 · 1,822 citations
- An empirical analysis of compute-optimal large language model trainingJordan Hoffmann, Sebastian Borgeaud, Arthur Mensch, Elena Buchatskaya et al.NeurIPS 2022 · 566 citations
Related papers
- A Hitchhiker's Guide to Scaling Law EstimationLeshem Choshen, Yang Zhang, Jacob AndreasICML 2025
- (Mis)Fitting Scaling Laws: A Survey of Scaling Law Fitting Techniques in Deep LearningMargaret Li, Sneha Kudugunta, Luke ZettlemoyerICLR 2025
- Reproducible Scaling Laws for Contrastive Language-Image LearningMehdi Cherti, Romain Beaumont, Ross Wightman, Mitchell Wortsman et al.CVPR 2023
- LLMs on the Line: Data Determines Loss-to-Loss Scaling LawsPrasanna Mayilvahanan, Thaddäus Wiedemer, Sayak Mallick, Matthias Bethge et al.ICML 2025
- Language models scale reliably with over-training and on downstream tasksSamir Yitzhak Gadre, Georgios Smyrnis, Vaishaal Shankar, Suchin Gururangan et al.ICLR 2025 · 3 citations
