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Researchers detail how feature learning reshapes neural network function spaces

Researchers have precisely characterized how feature learning in neural networks reshapes the function space during gradient descent training. Their analysis, conducted in a high-dimensional proportional regime, shows that after a large gradient step, the feature distribution approximates a target-dependent spiked Gaussian covariance. This process induces a data-adaptive kernel that modifies the function space's spectral structure, selectively amplifying directions aligned with the target signal. AI

影响 Provides a theoretical framework for understanding how neural networks learn features, potentially guiding future model development.

排序理由 The cluster contains an academic paper detailing a theoretical analysis of neural network training dynamics.

在 arXiv stat.ML 阅读 →

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Researchers detail how feature learning reshapes neural network function spaces

报道来源 [2]

  1. arXiv stat.ML TIER_1 English(EN) · Jo\~ao Lobo, Bruno Loureiro, Long Tran-Than, Fanghui Liu ·

    How does feature learning reshape the function space?

    arXiv:2605.17718v1 Announce Type: new Abstract: Feature learning is widely regarded as the key mechanism distinguishing neural networks from fixed-kernel methods, yet its impact on the induced function space remains poorly understood. In this work, we precisely characterize how t…

  2. arXiv stat.ML TIER_1 English(EN) · Fanghui Liu ·

    How does feature learning reshape the function space?

    Feature learning is widely regarded as the key mechanism distinguishing neural networks from fixed-kernel methods, yet its impact on the induced function space remains poorly understood. In this work, we precisely characterize how the function space spanned by the features of a t…