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]
- alphaXiv
- arXiv
- CatalyzeX Code Finder for Papers
- Charles Hermite
- computer science
- DagsHub
- Gotit.pub
- gradient descent
- Gradient Flow
- Hugging Face
- IArxiv
- Influence Flower
- Learning Orthogonal Multi-Index Models Beyond Small Initialization: Incremental Learning, Competitive Dynamics and Symmetry
- machine learning
- ScienceCast
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