How You Start Matters for Generalization
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Abstract (arXiv)
Characterizing the remarkable generalization properties of over-parameterized neural networks remains an open problem. In this paper, we promote a shift of focus towards initialization rather than neural architecture or (stochastic) gradient descent to explain this implicit regularization. Through a Fourier lens, we derive a general result for the spectral bias of neural networks and show that the generalization of neural networks is heavily tied to their initialization. Further, we empirically solidify the developed theoretical insights using practical, deep networks. Finally, we make a case against the controversial flat-minima conjecture and show that Fourier analysis grants a more reliable framework for understanding the generalization of neural networks.
Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 66 of its 97 references that are in the map. First posted on arXiv 17 Jun 2022.
Builds on
66 of 97 references.
References · 66
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38 more
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50 most cited of 66 All 66 (JSON)
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Citing papers per year: 2023: 2; 2024: 1; 2025: 2.
5 papers.
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