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Related papers: Optimal Scaling Needs Optimal Norm

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We study theoretical guarantees for solving linear systems in-context using a linear transformer architecture. For in-domain generalization, we provide neural scaling laws that bound the generalization error in terms of the number of tasks…

Machine Learning · Computer Science 2025-05-27 Frank Cole , Yulong Lu , Wuzhe Xu , Tianhao Zhang

The ever-growing ecosystem of LLMs has posed a challenge in selecting the most appropriate pre-trained model to fine-tune amidst a sea of options. Given constrained resources, fine-tuning all models and making selections afterward is…

Machine Learning · Computer Science 2024-05-29 Haowei Lin , Baizhou Huang , Haotian Ye , Qinyu Chen , Zihao Wang , Sujian Li , Jianzhu Ma , Xiaojun Wan , James Zou , Yitao Liang

Given a fixed budget for total model size, one must choose between training a single large model or combining the predictions of multiple smaller models. We investigate this trade-off for ensembles of random-feature ridge regression models…

Machine Learning · Computer Science 2025-10-28 Benjamin S. Ruben , William L. Tong , Hamza Tahir Chaudhry , Cengiz Pehlevan

We consider a serious, previously-unexplored challenge facing almost all approaches to scaling up entity resolution (ER) to multiple data sources: the prohibitive cost of labeling training data for supervised learning of similarity scores…

Databases · Computer Science 2012-08-10 Sahand Negahban , Benjamin I. P. Rubinstein , Jim Gemmell

Optimality principles have been useful in explaining many aspects of biological systems. In the context of neural encoding in sensory areas, optimality is naturally formulated in a Bayesian setting, as neural tuning which minimizes mean…

Neurons and Cognition · Quantitative Biology 2019-12-02 Yuval Harel , Ron Meir

Recently, Language Models (LMs) instruction-tuned on multiple tasks, also known as multitask-prompted fine-tuning (MT), have shown the capability to generalize to unseen tasks. Previous work has shown that scaling the number of training…

Computation and Language · Computer Science 2023-02-10 Joel Jang , Seungone Kim , Seonghyeon Ye , Doyoung Kim , Lajanugen Logeswaran , Moontae Lee , Kyungjae Lee , Minjoon Seo

Transfer learning is a powerful tool enabling model training with limited amounts of data. This technique is particularly useful in real-world problems where data availability is often a serious limitation. The simplest transfer learning…

Machine Learning · Computer Science 2023-03-03 Federica Gerace , Diego Doimo , Stefano Sarao Mannelli , Luca Saglietti , Alessandro Laio

Adam is the default algorithm for training neural networks, including large language models (LLMs). However, \citet{reddi2019convergence} provided an example that Adam diverges, raising concerns for its deployment in AI model training. We…

Machine Learning · Computer Science 2026-03-03 Yushun Zhang , Bingran Li , Congliang Chen , Zhi-Quan Luo , Ruoyu Sun

Supervised fine-tuning (SFT) is crucial for aligning Large Language Models (LLMs) with human instructions. The primary goal during SFT is to select a small yet representative subset of training data from the larger pool, such that…

Computation and Language · Computer Science 2024-12-10 Tingyu Xia , Bowen Yu , Kai Dang , An Yang , Yuan Wu , Yuan Tian , Yi Chang , Junyang Lin

Recent advances in large language models (LLMs) have been largely driven by scaling laws for individual models, which predict performance improvements as model parameters and data volume increase. However, the capabilities of any single LLM…

Machine Learning · Computer Science 2026-01-29 Dakuan Lu , Jiaqi Zhang , Cheng Yuan , Jiawei Shao , Xuelong Li

Neural scaling laws aim to characterize how out-of-sample error behaves as a function of model and training dataset size. Such scaling laws guide allocation of a computational resources between model and data processing to minimize error.…

Machine Learning · Computer Science 2024-07-02 Hong Jun Jeon , Benjamin Van Roy

Optimal Learning Machines (OLM) are systems that extract maximally informative representation of the environment they are in contact with, or of the data they are presented. It has recently been suggested that these systems are…

Data Analysis, Statistics and Probability · Physics 2020-01-29 Matteo Marsili

Dataset scaling, also known as normalization, is an essential preprocessing step in a machine learning pipeline. It is aimed at adjusting attributes scales in a way that they all vary within the same range. This transformation is known to…

Machine Learning · Computer Science 2022-12-26 Lucas B. V. de Amorim , George D. C. Cavalcanti , Rafael M. O. Cruz

Recent work has shown that, in generative modeling, cross-entropy loss improves smoothly with model size and training compute, following a power law plus constant scaling law. One challenge in extending these results to reinforcement…

Machine Learning · Computer Science 2023-02-21 Jacob Hilton , Jie Tang , John Schulman

Recent advances in large language models (LLMs) highlight a strong connection between intelligence and compression. Learned image compression, a fundamental task in modern data compression, has made significant progress in recent years.…

Computer Vision and Pattern Recognition · Computer Science 2025-08-13 Yuqi Li , Haotian Zhang , Li Li , Dong Liu , Feng Wu

Despite its flexibility to learn diverse inductive biases in machine learning programs, meta learning (i.e., learning to learn) has long been recognized to suffer from poor scalability due to its tremendous compute/memory costs, training…

Machine Learning · Computer Science 2023-10-24 Sang Keun Choe , Sanket Vaibhav Mehta , Hwijeen Ahn , Willie Neiswanger , Pengtao Xie , Emma Strubell , Eric Xing

Training stability is a persistent challenge in the pre-training of large language models (LLMs), particularly for architectures such as Post-Norm Transformers, which are prone to gradient explosion and dissipation. In this paper, we…

Computation and Language · Computer Science 2025-02-26 Ya Wang , Zhijian Zhuo , Yutao Zeng , Xun Zhou , Jian Yang , Xiaoqing Li

In scientific machine learning, models are routinely deployed with parameter values or boundary conditions far from those used in training. This paper studies the learning-where-to-learn problem of designing a training data distribution…

Machine Learning · Computer Science 2025-12-09 Nicolas Guerra , Nicholas H. Nelsen , Yunan Yang

Large Language Model (LLM) agents show great promise for complex, multi-turn tool-use tasks, but their development is often hampered by the extreme scarcity of high-quality training data. Supervised fine-tuning (SFT) on synthetic data leads…

Artificial Intelligence · Computer Science 2026-02-02 Siyuan Lu , Zechuan Wang , Hongxuan Zhang , Qintong Wu , Leilei Gan , Chenyi Zhuang , Jinjie Gu , Tao Lin

Out-of-Distribution (OoD) inputs are examples that do not belong to the true underlying distribution of the dataset. Research has shown that deep neural nets make confident mispredictions on OoD inputs. Therefore, it is critical to identify…

Machine Learning · Computer Science 2022-05-10 Deepak Ravikumar , Kaushik Roy