Deep Residual Learning for Image Recognition

Abstract: Deeper neural networks are more difficult to train. We present a residual learning framework to ease the training of networks that are substantially deeper than those used previously. We explicitly reformulate the layers as learning residual functions with reference to the layer inputs, instead of learning unreferenced functions. We provide comprehensive empirical evidence showing that these residual networks are easier to optimize, and can gain accuracy from considerably increased depth. On the ImageNet dataset we evaluate residual nets with a depth of up to 152 layers---8x deeper than VGG nets but still having lower complexity. An ensemble of these residual nets achieves 3.57% error on the ImageNet test set. This result won the 1st place on the ILSVRC 2015 classification task. We also present analysis on CIFAR-10 with 100 and 1000 layers. The depth of representations is of central importance for many visual recognition tasks. Solely due to our extremely deep representations, we obtain a 28% relative improvement on the COCO object detection dataset. Deep residual nets are foundations of our submissions to ILSVRC & COCO 2015 competitions, where we also won the 1st places on the tasks of ImageNet detection, ImageNet localization, COCO detection, and COCO segmentation.

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Synopsis

Overview

  • Keywords: Deep Learning, Residual Networks, Image Recognition, Optimization, Convolutional Neural Networks
  • Objective: Introduce a residual learning framework to facilitate the training of very deep neural networks.
  • Hypothesis: It is easier to optimize residual mappings than unreferenced mappings in deep networks.

Background

  • Preliminary Theories:

    • Vanishing/Exploding Gradients: Issues in training deep networks where gradients become too small or too large, hindering convergence.
    • Convolutional Neural Networks (CNNs): A class of deep neural networks particularly effective for image processing tasks.
    • Depth of Networks: Evidence suggests that deeper networks can achieve better performance, but they are harder to train effectively.
    • Shortcut Connections: Techniques that allow gradients to flow more easily through networks, helping to mitigate training difficulties.
  • Prior Research:

    • VGG Networks (2014): Introduced deeper architectures with a focus on simplicity and depth, achieving significant performance improvements on ImageNet.
    • GoogLeNet (2014): Emphasized inception modules to improve efficiency and accuracy in deep networks.
    • Highway Networks (2015): Proposed mechanisms to allow information to flow through networks more effectively, addressing the vanishing gradient problem.

Methodology

  • Key Ideas:

    • Residual Learning: Reformulates layers to learn residual functions, making it easier to optimize deeper networks.
    • Shortcut Connections: Implemented as identity mappings that add the input to the output of stacked layers, facilitating training without adding parameters.
    • Bottleneck Architectures: Utilizes a three-layer structure (1x1, 3x3, 1x1 convolutions) to reduce computational complexity while maintaining depth.
  • Experiments:

    • ImageNet Dataset: Evaluated networks with depths of 34, 50, 101, and 152 layers, demonstrating improved performance with increased depth.
    • CIFAR-10 Dataset: Conducted experiments with networks of up to 1202 layers, confirming the effectiveness of residual learning in various settings.
    • Performance Metrics: Top-1 and top-5 error rates were used to assess classification accuracy.
  • Implications: The design allows for training extremely deep networks efficiently, achieving state-of-the-art results without excessive computational costs.

Findings

  • Outcomes:

    • Residual networks significantly outperform traditional deep networks, showing lower training and validation errors as depth increases.
    • The 152-layer ResNet achieved a top-5 error rate of 3.57% on the ImageNet test set, outperforming all previous models.
    • Models demonstrated generalization capabilities across various tasks, including object detection and segmentation.
  • Significance: The research challenges the belief that deeper networks inherently lead to degradation in performance, providing a robust solution to the optimization problem.

  • Future Work: Exploration of even deeper architectures and further optimization techniques, including the integration of stronger regularization methods.

  • Potential Impact: Advancements in residual learning could revolutionize approaches to deep learning in both vision and non-vision applications, leading to more efficient and effective models.

Notes

Meta

Published: 2015-12-10

Updated: 2025-08-27

URL: https://arxiv.org/abs/1512.03385v1

Authors: Kaiming He, Xiangyu Zhang, Shaoqing Ren, Jian Sun

Citations: 165620

H Index: 157

Categories: cs.CV

Model: gpt-4o-mini