arXiv:2506.14386cs.LGcs.AI2025-06被引 2

ResNet性能优不仅因训练好,更因其内在结构契合自然数据分布。

ResNets Are Deeper Than You Think

  • 通过对比不同深度网络,发现残差结构本质在不同函数空间。
  • 即使优化条件相同,可变深度架构仍显著优于固定深度模型。
  • 适合关注神经网络设计原理与归纳偏置的研究者阅读。

残差连接自提出以来广泛应用于现代神经网络架构。尽管已有多种方法(如改进初始化、先进学习率调度)试图缩小残差网络与前馈网络的性能差距,该差距依然存在。本文提出新解释:残差网络并非简单重参数化前馈网络,而是处于不同的函数空间。我们设计了受控的后训练对比实验,将泛化性能与可训练性分离;结果显示,类似ResNet的可变深度架构在优化非关键条件下,始终优于固定深度网络。这表明残差连接带来的优势超越优化层面,源于与自然数据结构更契合的深层归纳偏置。

原文摘要 · Abstract (English)

Residual connections remain ubiquitous in modern neural network architectures nearly a decade after their introduction. Their widespread adoption is often credited to their dramatically improved trainability: residual networks train faster, more stably, and achieve higher accuracy than their feedforward counterparts. While numerous techniques, ranging from improved initialization to advanced learning rate schedules, have been proposed to close the performance gap between residual and feedforward networks, this gap has persisted. In this work, we propose an alternative explanation: residual networks do not merely reparameterize feedforward networks, but instead inhabit a different function space. We design a controlled post-training comparison to isolate generalization performance from trainability; we find that variable-depth architectures, similar to ResNets, consistently outperform fixed-depth networks, even when optimization is unlikely to make a difference. These results suggest that residual connections confer performance advantages beyond optimization, pointing instead to a deeper inductive bias aligned with the structure of natural data.

ResNet归纳偏置函数空间深度网络

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