arXiv Machine Learning

Foundations of the Scaling Law

arXiv Machine Learning
6d ago

Predictable Scaling: Efficient Model Exploration via Scaling-Law Prediction

Predictable Scaling (PS) is a framework that uses small‑scale training proxies to forecast full‑scale model performance, reducing the need for expensive GPU‑hourly runs. By applying composable scaling functions and curve fitting with uncertainty estimates, PS can rank candidate changes accurately across different hypothesis types. Experiments on two ranking models show PS achieves 79–88% compute savings while maintaining correct ranking of actionable hypotheses.

By Aishwarya Wesanekar, Sheng-Tao Yang, Jiawei Zhang, Flavio Sales Truzzi, Chen Chen, Nader Beigiparast, Shengyuan Huang, Roshanak Zilouchian Moghaddam, Vitor Cid, Colin Clement, Vinayak Thapliyal, Sebastian Ament, Jihao Andreas Lin, Vincent Huang, Kai Han, Boyi Jiang, Wenlin Chen, Chaorong Chen, Ashwin Kumar, Maximilian Balandat, David Eriksson, Yifei Zhang, Pan Zhong
arXiv AI
Aug 25

What Transfers from Text to Vision? Capability Scaling Laws and Transfer Dynamics for VLMs

The paper introduces the Capability-Driven Multimodal Scaling Law, a cross-family framework that predicts vision-language model (VLM) benchmark accuracy from a low-dimensional textual capability score extracted via PCA. By training over 150 VLMs on 34 large language models across seven families, the authors demonstrate that the law accurately extrapolates transfer rates from 8B to 72B‑parameter backbones, predicts full training trajectories, and generalizes to unseen model families. The study also reveals actionable insights, such as certain textual benchmarks negatively correlating with multimodal performance and base LLMs outperforming instruction-tuned counterparts as VLM backbones due to higher absorption rates.

By Ziran Li, Qiang Wang, Zhengyu Chen, Shanglin Lei, Borun Chen, Jingang Wang, Xunliang Cai
arXiv AI
Sep 24

The Capability Manifold and ML Scaling Laws

The paper introduces a capability manifold, a multidimensional framework that maps downstream capabilities—such as reasoning, retrieval, planning, and adaptation—to pre‑training, post‑training, and test‑time resources via bounded scaling functions. It provides analytical Jacobians to quantify how sensitive each capability is to changes in resources and their interactions. By embedding existing Kaplan‑ and Chinchilla‑type scaling laws and test‑time compute into this manifold, the authors demonstrate that these scaling relationships can be unified as trajectories on a common capability manifold.

By Syed Ali Raza Zaidi, Maryam Hafeez
arXiv AI
Sep 7

Amortizing Scaling Law Construction Costs

The paper proposes a framework to reduce the cost of constructing scaling laws for large foundation models by treating data collection as a Bayesian optimization problem. It shows that expanding the compute budget progressively and augmenting observed configurations with surrogate-fantasized evaluations can recover a broad experimental grid, enabling accurate scaling law fitting without training every configuration. This approach can achieve computational savings of up to 10–100× compared to a full dense grid.

By Abhash Kumar Jha, Diana Alexandra Onu\c{t}u, Neeratyoy Mallik, Swagatam Haldar, Sam Laing, Niccol\`o Ajroldi, Shiwei Liu, Joaquin Vanschoren, Aaron Klein
arXiv Machine Learning
Oct 7

Neural Scaling Laws for Jet Generation

arXiv:2605.28940v2 Announce Type: replace-cross Abstract: Recently observed empirical scaling laws describe the performance of foundation-type models as three independent key quantities -- dataset si...

By Oz Amram, Darius A. Faroughy, Tjarko Gerdes, Anna Hallin, Gregor Kasieczka, Michael Kr\"amer, Humberto Reyes-Gonzalez, David Shih