arXiv AI

Efficiently Estimating Optimal Hyperparameter Scaling Laws through Power-Law Entropy Search

The paper introduces Power‑Law Entropy Search (PLES), a computational‑cost‑aware acquisition function that uses multi‑fidelity Bayesian optimization to efficiently estimate optimal hyperparameter scaling laws for large language model training. PLES focuses on reducing the overall uncertainty of scaling law estimates rather than optimizing a single objective, selecting configurations that maximize uncertainty reduction per unit computational cost. Experiments on synthetic benchmarks, surrogate models, and real LLM pre‑training runs show that PLES converges to accurate scaling laws using less than one‑tenth of the computational budget required by conventional grid search and other baselines.

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 AI
Jun 9

Item Response Scaling Laws: A Measurement Theory Approach for Efficient and Generalizable Neural Scaling Estimation

arXiv:2606. 07616v1 Announce Type: cross Abstract: Scaling laws provide a fundamental framework for understanding the performance of Language Models (LMs), yet deriving them requires prohibitively expensive evaluations across thousands of checkpoints or millions of inference samples.

By Sang Truong, Yuheng Tu, Rylan Schaeffer, Sanmi Koyejo
arXiv Computation and Language
Aug 31

Pruning Laws for Large Language Models

arXiv:2504.04342v2 Announce Type: replace Abstract: Scaling up model parameters and training data consistently improves the performance of large language models (LLMs), but at the cost of rapidly gro...

By Ayan Sengupta, Siddhant Chaudhary, Tanmoy Chakraborty
arXiv Machine Learning
5d ago

Tree-Structured Synergy of Large Language Models and Bayesian Optimization for Efficient CASH

The paper introduces LB-MCTS, a trajectory-structured optimization framework that combines Monte Carlo Tree Search, Bayesian Optimization, and Large Language Models to address the CASH problem in AutoML. It uses a shared tree state for algorithm selection, hyperparameter refinement, and synergy between BO and LLM proposals, with a reliability-aware policy that shifts from LLM-driven to BO-driven suggestions as the surrogate model improves. Experiments on 104 AMLB datasets show that LB-MCTS consistently outperforms existing BO-based, LLM-based, and hybrid baselines.

By Beicheng Xu, Weitong Qian, Lingching Tung, Yupeng Lu, Bin Cui
arXiv AI
Jul 29

Bridging Compute- and Data-Optimal Pretraining

arXiv:2607. 25271v1 Announce Type: cross Abstract: Classical compute-optimal scaling laws assume an unbounded supply of fresh pretraining data, yet pretraining is increasingly entering a regime in which compute grows faster than the availability of high-quality data.

By Tian Qin, Kimia Hamidieh, David Alvarez-Melis
arXiv Machine Learning
Jun 18

BLADE: Scalable Bi-level Adaptive Data Selection for LLM Training

arXiv:2606. 18650v1 Announce Type: new Abstract: As Large Language Model (LLM) datasets scale to trillions of tokens, data selection has emerged as a critical frontier to filter out uninformative noise and construct adaptive learning trajectories.

By Jiaxing Wang, Deping Xiang, Jin Xu, Zirui Liu, Zicheng Zhang, Guoqiang Gong, Jun Fang, Chao Liu, Pengzhang Liu, Tongxuan Liu, Ke Zhang, Qixia Jiang
arXiv Computation and Language
Sep 4

SuperValid: Capability-Aligned OOD Validation for Generalizable Downstream Scaling

The paper introduces SuperValid, a framework that generates out-of-distribution, capability-aligned validation data by distilling core concepts from benchmarks and expanding them into diverse, knowledge-rich texts. By focusing on capability-level performance rather than benchmark-specific metrics, SuperValid’s loss correlates strongly and stably with downstream benchmark results across a wide range of models, scales, and training data distributions. This training‑free metric can be computed during training, enabling model selection, early stopping, and scaling decisions without the need for benchmark evaluation.

By Quanen Sun, Changxin Tian, Ke Shi, Cai Chen, Cunyin Peng, Jia Liu, Kunlong Chen, Zhiqiang Zhang, Jun Zhou