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相关论文: No Free Lunch From Random Feature Ensembles: Scali…

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Classic ensembles generalize better than any single component model. In contrast, recent empirical studies find that modern ensembles of (overparameterized) neural networks may not provide any inherent generalization advantage over single…

机器学习 · 统计学 2025-06-10 Niclas Dern , John P. Cunningham , Geoff Pleiss

Recent work has identified simple empirical scaling laws for language models, linking compute budget, dataset size, model size, and autoregressive modeling loss. The validity of these simple power laws across orders of magnitude in model…

机器学习 · 统计学 2021-09-27 Amélie Chatelain , Amine Djeghri , Daniel Hesslow , Julien Launay , Iacopo Poli

It is increasingly common in machine learning to use learned models to label data and then employ such data to train more capable models. The phenomenon of weak-to-strong generalization exemplifies the advantage of this two-stage procedure:…

机器学习 · 计算机科学 2026-05-26 Diyuan Wu , Lehan Chen , Theodor Misiakiewicz , Marco Mondelli

Large language models with a huge number of parameters, when trained on near internet-sized number of tokens, have been empirically shown to obey neural scaling laws: specifically, their performance behaves predictably as a power law in…

机器学习 · 计算机科学 2022-11-01 Alexander Maloney , Daniel A. Roberts , James Sully

In our era of enormous neural networks, empirical progress has been driven by the philosophy that more is better. Recent deep learning practice has found repeatedly that larger model size, more data, and more computation (resulting in lower…

机器学习 · 计算机科学 2024-05-17 James B. Simon , Dhruva Karkada , Nikhil Ghosh , Mikhail Belkin

From benign overfitting in overparameterized models to rich power-law scalings in performance, simple ridge regression displays surprising behaviors sometimes thought to be limited to deep neural networks. This balance of phenomenological…

机器学习 · 统计学 2026-05-08 Alexander Atanasov , Jacob A. Zavatone-Veth , Cengiz Pehlevan

We study subsampling-based ridge ensembles in the proportional asymptotics regime, where the feature size grows proportionally with the sample size such that their ratio converges to a constant. By analyzing the squared prediction risk of…

统计理论 · 数学 2023-07-18 Jin-Hong Du , Pratik Patil , Arun Kumar Kuchibhotla

Recent successes of massively overparameterized models have inspired a new line of work investigating the underlying conditions that enable overparameterized models to generalize well. This paper considers a framework where the possibly…

机器学习 · 计算机科学 2023-12-06 Martin Hellkvist , Ayça Özçelikkale , Anders Ahlén

Ensemble methods that average over a collection of independent predictors that are each limited to a subsampling of both the examples and features of the training data command a significant presence in machine learning, such as the…

机器学习 · 统计学 2020-03-26 Daniel LeJeune , Hamid Javadi , Richard G. Baraniuk

The benefits of overparameterization for the overall performance of modern machine learning (ML) models are well known. However, the effect of overparameterization at a more granular level of data subgroups is less understood. Recent…

机器学习 · 计算机科学 2022-06-09 Subha Maity , Saptarshi Roy , Songkai Xue , Mikhail Yurochkin , Yuekai Sun

Large foundation models are typically trained on data from multiple domains, with the data mixture--the proportion of each domain used--playing a critical role in model performance. The standard approach to selecting this mixture relies on…

Scaling laws are useful guides for derisking expensive training runs, as they predict performance of large models using cheaper, small-scale experiments. However, there remain gaps between current scaling studies and how language models are…

Overparameterization is shown to result in poor test accuracy on rare subgroups under a variety of settings where subgroup information is known. To gain a more complete picture, we consider the case where subgroup information is unknown. We…

In recent years, there has been a significant growth in research focusing on minimum $\ell_2$ norm (ridgeless) interpolation least squares estimators. However, the majority of these analyses have been limited to an unrealistic regression…

统计理论 · 数学 2024-06-14 Sungyoon Lee , Sokbae Lee

Overparametrization often helps improve the generalization performance. This paper presents a dual view of overparametrization suggesting that downsampling may also help generalize. Focusing on the proportional regime $m\asymp n \asymp p$,…

统计理论 · 数学 2023-10-17 Xin Chen , Yicheng Zeng , Siyue Yang , Qiang Sun

Recent advances in machine learning have been achieved by using overparametrized models trained until near interpolation of the training data. It was shown, e.g., through the double descent phenomenon, that the number of parameters is a…

机器学习 · 统计学 2024-03-14 Hong Hu , Yue M. Lu , Theodor Misiakiewicz

The scaling of Large Language Models (LLMs) currently faces significant challenges. Model assembly is widely considered a promising solution to break through these performance bottlenecks. However, current ensembling methods are primarily…

机器学习 · 计算机科学 2025-07-08 Yanxin Liu , Yunqi Zhang

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…

机器学习 · 计算机科学 2026-01-29 Dakuan Lu , Jiaqi Zhang , Cheng Yuan , Jiawei Shao , Xuelong Li

While large training datasets generally offer improvement in model performance, the training process becomes computationally expensive and time consuming. Distributed learning is a common strategy to reduce the overall training time by…

机器学习 · 统计学 2021-10-22 Nicole Mücke , Enrico Reiss , Jonas Rungenhagen , Markus Klein

Many modern machine learning models are trained to achieve zero or near-zero training error in order to obtain near-optimal (but non-zero) test error. This phenomenon of strong generalization performance for "overfitted" / interpolated…

机器学习 · 统计学 2018-10-29 Mikhail Belkin , Daniel Hsu , Partha Mitra
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