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New theory explains incremental learning in shallow neural networks

Researchers have developed a new theoretical framework for understanding incremental learning in shallow neural networks. This work focuses on polynomial-width two-layer networks trained on orthogonal multi-index targets under standard initialization. The findings indicate that incremental learning still occurs, with the loss decreasing sequentially based on the Hermite expansion of the target, and lower-order components being learned before higher-order ones. AI

IMPACT Provides theoretical insights into neural network training dynamics, potentially informing future model architectures.

RANK_REASON The item is an academic paper detailing theoretical advancements in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

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New theory explains incremental learning in shallow neural networks

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The item is an academic paper detailing theoretical advancements in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Mo Zhou, Weihang Xu, Simon S. Du, Maryam Fazel ·

    Learning Orthogonal Multi-Index Models Beyond Small Initialization: Incremental Learning, Competitive Dynamics and Symmetry

    arXiv:2609.10879v1 Announce Type: cross Abstract: Recent work has identified incremental learning in shallow networks trained on single-index and multi-index models. However, existing analyses often rely on simplifying settings, such as small initialization, correlation loss, or …