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Quadratic Neural Networks: New Research on Generalization Scaling Laws

A new research paper published on arXiv explores the scaling laws of generalization in quadratic neural networks. The study analyzes how generalization error is affected by the number of trainable parameters and the size of the dataset in a finite-sample setting with structured data. The findings reveal distinct scaling regimes and data-dependent power laws, offering insights into the transitions between these regimes and their impact on generalization. AI

IMPACT Provides theoretical insights into how model size and data quantity influence performance in neural networks.

RANK_REASON The cluster contains a research paper published on arXiv detailing theoretical analysis of neural network generalization.

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

Quadratic Neural Networks: New Research on Generalization Scaling Laws

COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Julius Girardin, Emanuele Troiani, Yizhou Xu, Vittorio Erba, Florent Krzakala, Lenka Zdeborov\'a ·

    How Width and Data Shape Generalization Scaling Laws in Quadratic Neural Networks

    arXiv:2606.28242v1 Announce Type: cross Abstract: Understanding how performance scales jointly with model size and data is a central problem in modern machine learning. Existing theoretical works on scaling laws typically describe generalization as a function of data or compute, …

  2. arXiv stat.ML TIER_1 English(EN) · Lenka Zdeborová ·

    How Width and Data Shape Generalization Scaling Laws in Quadratic Neural Networks

    Understanding how performance scales jointly with model size and data is a central problem in modern machine learning. Existing theoretical works on scaling laws typically describe generalization as a function of data or compute, often in fixed-feature or infinite-width regimes a…