Natural Adversarial Examples

Dan HendrycksKevin ZhaoSteven BasartJacob SteinhardtDawn Song

article2019CVPR2,039 citations

Introduces ImageNet-A and ImageNet-O, two benchmarks of unmodified real-world images that expose shared blind spots in computer vision models by causing severe performance drops without synthetic pixel perturbations.

arXiv: 1907.07174
Cover for Natural Adversarial Examples

Abstract

We introduce two challenging datasets that reliably cause machine learning model performance to substantially degrade. The datasets are collected with a simple adversarial filtration technique to create datasets with limited spurious cues. Our datasets' real-world, unmodified examples transfer to various unseen models reliably, demonstrating that computer vision models have shared weaknesses. The first dataset is called ImageNet-A and is like the ImageNet test set, but it is far more challenging for existing models. We also curate an adversarial out-of-distribution detection dataset called ImageNet-O, which is the first out-of-distribution detection dataset created for ImageNet models. On ImageNet-A a DenseNet-121 obtains around 2% accuracy, an accuracy drop of approximately 90%, and its out-of-distribution detection performance on ImageNet-O is near random chance levels. We find that existing data augmentation techniques hardly boost performance, and using other public training datasets provides improvements that are limited. However, we find that improvements to computer vision architectures provide a promising path towards robust models.

Table of Contents

  • 1 Introduction
  • 2 Related Work
  • 3 ImageNet-A and ImageNet-O
  • 3.1 Design
  • 3.2 Illustrative Failure Modes
  • 4 Experiments
  • 5 Conclusion
  • References
  • 6 Appendix
  • 7 Expanded Results
  • 7.1 Full Architecture Results
  • 7.2 More OOD Detection Results and Background
  • 7.3 Calibration
  • 8 ImageNet-A Classes
  • 9 ImageNet-O Classes

Knowls

  1. Knowl 1 — ImageNet-A Benchmark for Natural Adversarial Classification

    definition

    ImageNet-A is an image classification benchmark consisting of 7,5007{,}500 real-world, unmodified natural images spanning a curated 200200-class subset of ImageNet-1K. The dataset is designed to evaluate classifier robustness to natural distribution shift and spurious cues without relying on artificial p\ell_p norm perturbations or synthetic image corruptions.

    The distribution shift between ImageNet-A and the original ImageNet dataset is quantitatively measured using the Fréchet Inception Distance (FID). While the FID between ImageNet's validation and test sets is approximately 0.990.99, the FID between ImageNet-A and ImageNet's validation set is 50.4050.40 (and 50.2550.25 against the test set). Despite this distributional divergence, the estimated human classification accuracy on ImageNet-A is approximately 90%90\%, whereas standard deep convolutional neural networks suffer severe performance degradation (e.g., standard ResNet-50 achieves 2.17%2.17\% top-1 accuracy).

  2. Knowl 2 — ImageNet-O Benchmark for Adversarial Out-of-Distribution Detection

    definition

    ImageNet-O is an out-of-distribution (OOD) detection benchmark consisting of 2,0002{,}000 unmodified, real-world images curated to test ImageNet classifiers' uncertainty and anomaly detection capabilities under semantic distribution shifts.

    The dataset is drawn from ImageNet-22K by selecting images from classes outside of ImageNet-1K that are mistaken as in-distribution classes with high confidence by standard classifiers. In-distribution data corresponds to a matched 200200-class subset of ImageNet-1K. Detection performance is evaluated using the Area Under the Precision-Recall Curve (AUPR) based on anomaly scores derived from the negative maximum softmax probability (MSP). For ImageNet-O, random chance AUPR is approximately 16.67%16.67\%, and the ceiling is 100%100\%.

  3. Knowl 3 — Adversarial Filtration Pipeline for Natural Adversarial Examples

    algorithm

    Adversarial filtration is a data curation procedure that removes simple examples solved by shortcut cues and retains clean, unmodified natural images that induce confident misclassifications across vision models.

    Input: Candidate image collection Draw\mathcal{D}_{raw} corresponding to target classes C\mathcal{C}
    Ensemble classifiers f1,f2f_1, f_2 (ResNet-50 fine-tuned on C\mathcal{C} and ResNet-50 evaluated on C\mathcal{C} logits)
    Confidence threshold τ=0.15\tau = 0.15
    Maximum confusion frequency K=15K = 15
    Output: Adversarially filtered dataset Dadv\mathcal{D}_{adv}
    Initialize shortlist S\mathcal{S} \leftarrow \emptyset, confusions counter C[ytrue,ypred]0C[y_{true}, y_{pred}] \leftarrow 0, Dadv\mathcal{D}_{adv} \leftarrow \emptyset
    for each image xDrawx \in \mathcal{D}_{raw} with ground truth label yCy \in \mathcal{C} do
        Generate 10 standard spatial crops {x(1),,x(10)}\{x^{(1)}, \dots, x^{(10)}\} from xx
        Predict classes y^m(i)=argmaxfm(x(i))\hat{y}_m^{(i)} = \arg\max f_m(x^{(i)}) and confidences pm(yx(i))p_m(y \mid x^{(i)}) for m{1,2},i{1,,10}m \in \{1, 2\}, i \in \{1, \dots, 10\}
        if m,i:y^m(i)y\forall m, i: \hat{y}_m^{(i)} \neq y and m,i:pm(yx(i))τ\forall m, i: p_m(y \mid x^{(i)}) \le \tau then
            SS{(x,y,y^1(1))}\mathcal{S} \leftarrow \mathcal{S} \cup \{(x, y, \hat{y}_1^{(1)})\}
        end if
    end for
    Initialize diversified list Ddiv\mathcal{D}_{div} \leftarrow \emptyset
    for each (x,y,y^)S(x, y, \hat{y}) \in \mathcal{S} do
        if C[y,y^]<KC[y, \hat{y}] < K then
            DdivDdiv{x}\mathcal{D}_{div} \leftarrow \mathcal{D}_{div} \cup \{x\}
            C[y,y^]C[y,y^]+1C[y, \hat{y}] \leftarrow C[y, \hat{y}] + 1
        end if
    end for
    for each candidate xDdivx \in \mathcal{D}_{div} do
        Perform human inspection to confirm single-class presence, image clarity, and label correctness
        if human validates xx then
            DadvDadv{x}\mathcal{D}_{adv} \leftarrow \mathcal{D}_{adv} \cup \{x\}
        end if
    end for
    return Dadv\mathcal{D}_{adv}
  4. Knowl 4 — Benchmark Results of Deep Vision Architectures on ImageNet-A and ImageNet-O

    data/table

    The performance of diverse computer vision architectures evaluated on ImageNet-A (top-1 accuracy in %) and ImageNet-O (Area Under the Precision-Recall curve, AUPR in %) reveals substantial vulnerabilities across convolutional architectures, attention-augmented networks, and vision Transformers.

    Model ImageNet-A (Acc %) ImageNet-O (AUPR %)
    AlexNet 1.77 15.44
    SqueezeNet 1.1 1.12 15.31
    VGG-16 2.63 16.58
    VGG-19 2.11 16.80
    VGG-19 + BN 2.95 16.57
    DenseNet-121 2.16 16.11
    ResNet-18 1.15 15.23
    ResNet-34 1.87 16.00
    ResNet-50 2.17 16.20
    ResNet-101 4.72 17.20
    ResNet-152 6.05 18.00
    ResNet-50 + Squeeze-and-Excite 6.17 17.52
    ResNet-101 + Squeeze-and-Excite 8.55 17.91
    ResNet-152 + Squeeze-and-Excite 9.35 18.65
    ResNet-50 + DeVries Confidence Branch 0.35 14.34
    ResNet-50 + Rotation Prediction Branch 2.17 16.20
    Res2Net-50 (v1b) 14.59 19.50
    Res2Net-101 (v1b) 21.84 22.69
    Res2Net-152 (v1b) 22.40 23.90
    ResNeXt-50 (32×4d32 \times 4\text{d}) 4.81 17.60
    ResNeXt-101 (32×4d32 \times 4\text{d}) 5.85 19.60
    ResNeXt-101 (32×8d32 \times 8\text{d}) 10.20 20.51
    DPN 68 3.53 17.78
    DPN 98 9.15 21.10
    DeiT-tiny 7.25 17.40
    DeiT-small 19.10 20.90
    DeiT-base 28.20 24.80

    Standard classifiers achieve near-random performance on out-of-distribution detection on ImageNet-O (random baseline 16.67%\approx 16.67\%) and drops of around 90%90\% in classification accuracy on ImageNet-A relative to standard ImageNet validation (where models typically attain 90%\ge 90\% on these 200 classes). Performance gains scale with model capacity, multi-scale residual blocks (Res2Net), and self-attention/Transformers (DeiT).

  5. Knowl 5 — Cross-Architecture Transferability of Natural Adversarial Examples

    empirical result

    Natural adversarial examples selected by filtering against a standard ResNet-50 architecture transfer effectively to unseen, black-box model families that were not involved in dataset creation.

    DenseNet-121, SqueezeNet, VGG-19, and AlexNet all achieve lower than 3%3\% top-1 accuracy on ImageNet-A (DenseNet-121 achieves 2.16%2.16\%, VGG-19 achieves 2.11%2.11\%, AlexNet achieves 1.77%1.77\%, and SqueezeNet achieves 1.12%1.12\%). On ImageNet-O out-of-distribution detection, these models attain AUPR scores near or below random chance levels (16.67%16.67\%), ranging from 15.31%15.31\% for SqueezeNet to 16.80%16.80\% for VGG-19. Furthermore, the examples transfer to architectures with completely distinct inductive biases, including Vision Transformers (DeiT).

  6. Knowl 6 — Effect of Data Augmentation Techniques on Natural Adversarial Robustness

    empirical result

    Standard data augmentation methods that improve robustness against synthetic corruptions or p\ell_p-norm bounded adversarial perturbations provide minimal improvements on ImageNet-A accuracy relative to a baseline ResNet-50 (2.17%2.17\% top-1 accuracy):

    • Fast p\ell_p Adversarial Training: decreases accuracy to 1.68%1.68\%.
    • Style Transfer (texture-debiasing): yields 2.30%2.30\% (+0.13%+0.13\% over baseline).
    • AugMix: yields 3.8%3.8\%.
    • Cutout: yields 4.4%4.4\%.
    • Moment Exchange (MoEx): yields 5.5%5.5\%.
    • Mixup: yields 6.6%6.6\%.
    • CutMix: yields 7.3%7.3\%.

    Even the best-performing augmentation (CutMix) improves accuracy by only 5.13%\approx 5.13\% over the baseline ResNet-50.

  7. Knowl 7 — Influence of Training Data Scale and Scene Pre-training on Robustness

    empirical result

    Scaling training data and pre-training across alternative distributions impacts robustness to natural adversarial examples in distinct ways:

    1. Scene Recognition Pre-training: Pre-training a ResNet-50 on Places365 and fine-tuning on ImageNet-1K results in 1.56%1.56\% accuracy on ImageNet-A and an AUPR of 14.88%14.88\% on ImageNet-O, indicating that feature representations learned from scene contexts do not reduce natural adversarial error modes.
    2. In-Distribution Fine-Tuning: Fine-tuning a baseline ResNet-50 directly on an 80%80\% split of ImageNet-A fails to generalize to the remaining 20%20\%, yielding top-1 accuracy below 2%2\% and top-5 accuracy below 5%5\%.
    3. Large-Scale Web Pre-training: Pre-training ResNet-50 on ImageNet-21K (21,000\approx 21{,}000 classes and 1414 million images) followed by fine-tuning on ImageNet-1K increases ImageNet-A accuracy from 2.17%2.17\% to 11.41%11.41\% (+9.24%+9.24\%) and ImageNet-O AUPR from 16.20%16.20\% to 21.86%21.86\%.
  8. Knowl 8 — Impact of Architecture Design, Capacity, and Multi-Scale Hierarchies on Natural Robustness

    empirical result

    Architectural modifications systematically improve resilience against natural adversarial shifts on ImageNet-A and ImageNet-O:

    1. Network Depth and Width: Scaling standard ResNet depth increases ImageNet-A accuracy from 2.17%2.17\% (ResNet-50) to 4.72%4.72\% (ResNet-101) and 6.05%6.05\% (ResNet-152), with ImageNet-O AUPR increasing from 16.20%16.20\% to 18.00%18.00\%.
    2. Grouped Convolutions: ResNeXt-50 (32×4d32 \times 4\text{d}) improves accuracy to 4.81%4.81\% (AUPR 17.60%17.60\%), and ResNeXt-101 (32×8d32 \times 8\text{d}) attains 10.20%10.20\% accuracy (AUPR 20.51%20.51\%).
    3. Squeeze-and-Excitation (SE) Self-Attention: Adding SE blocks to ResNet-50 raises ImageNet-A accuracy to 6.17%6.17\%, while ResNet-152+SE reaches 9.35%9.35\%.
    4. Multi-Scale Hierarchical Features (Res2Net): Replacing residual blocks in ResNet-50 with Res2Net v1b blocks yields 14.59%14.59\% accuracy (AUPR 19.50%19.50\%). Scaling to Res2Net-152 v1b achieves 22.40%22.40\% accuracy and 23.90%23.90\% AUPR.
  9. Knowl 9 — Generalization of Vision Transformers to Natural Adversarially Filtered Benchmarks

    empirical result

    Convolution-free Vision Transformers (DeiT) trained on ImageNet-1K exhibit higher robustness than standard convolutional networks, yet remain susceptible to transfer errors from natural adversarial examples:

    • DeiT-tiny achieves 7.25%7.25\% top-1 accuracy on ImageNet-A and 17.40%17.40\% AUPR on ImageNet-O.
    • DeiT-small (with parameter counts comparable to Res2Net-50) achieves 19.10%19.10\% top-1 accuracy on ImageNet-A and 20.90%20.90\% AUPR on ImageNet-O (compared to 14.59%14.59\% accuracy and 19.50%19.50\% AUPR for Res2Net-50).
    • DeiT-base attains 28.20%28.20\% top-1 accuracy on ImageNet-A and 24.80%24.80\% AUPR on ImageNet-O.
  10. Knowl 10 — Area Under the Response Rate Accuracy Curve (AURRA) for Selective Classification

    definition

    The Area Under the Response Rate Accuracy curve (AURRA) evaluates a classifier's uncertainty estimation and selective classification capability by measuring accuracy when the model is allowed to abstain on low-confidence predictions.

    For a response rate p(0,1]p \in (0, 1], the classifier responds only to the top pp fraction of the test set ranked by maximum softmax probability maxcp(cx)\max_{c} p(c \mid x) and abstains from the remaining 1p1 - p fraction. The Response Rate Accuracy curve plots the classifier's top-1 accuracy on this selected subset as a function of pp. AURRA is the area under this curve. A calibrated classifier that successfully identifies its potential mistakes achieves high accuracy at low response rates, leading to a higher AURRA score.

  11. Knowl 11 — Systematic Qualitative Failure Modes of Deep Classifiers on Natural Adversarial Examples

    empirical result

    Qualitative evaluation of candidate adversarial examples on ImageNet-A isolates three systematic failure modes in modern deep convolutional neural networks:

    1. Visual Concept Overgeneralization: Classifiers over-abstract low-level or geometric primitives (e.g., classifying unrelated metallic objects as sundials, radiating linear patterns as harvestman bugs, circular structures as bicycles/tricycles, and numeric grid displays as calculators or keyboards).
    2. Color and Texture Overreliance: Classifiers heavily prioritize local color and texture distributions over structural or global shape cues (e.g., misclassifying colored dragonfly bodies as bananas).
    3. Spurious Background and Co-occurrence Shortcuts: Classifiers bind entire background contexts to object categories rather than isolating the target entity (e.g., wood textures triggering nails, bird feeders triggering hummingbirds, snow triggering shovels, and dumpsters triggering garbage trucks). In dynamic scenes (such as an alligator swimming), sequential video frames trigger erratic transitions across semantically disjoint classes such as cliff, lynx, and fox squirrel.

Coverage note — The comprehensive listing of the 200 class names and WordNet synset IDs for ImageNet-A and ImageNet-O was omitted as exhaustive lexical data not required for conceptual or procedural reconstruction.

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Citation

MLA
Hendrycks, D., et al. “Natural Adversarial Examples”. arXiv, 2019, http://arxiv.org/abs/1907.07174v4.
APA
Hendrycks, D., Zhao, K., Basart, S., Steinhardt, J., & Song, D. (2019). Natural Adversarial Examples. arXiv. http://arxiv.org/abs/1907.07174v4
Chicago
Hendrycks, D., K. Zhao, S. Basart, J. Steinhardt, and D. Song. 2019. “Natural Adversarial Examples”. arXiv. http://arxiv.org/abs/1907.07174v4.
Harvard
Hendrycks, D. et al. (2019) “Natural Adversarial Examples”, arXiv [Preprint]. Available at: http://arxiv.org/abs/1907.07174v4.
Vancouver
1. Hendrycks D, Zhao K, Basart S, Steinhardt J, Song D (2019) Natural Adversarial Examples. arXiv

BibTeX

@article{hendrycks2019natural,
  title = {Natural Adversarial Examples},
  author = {Hendrycks, Dan and Zhao, Kevin and Basart, Steven and Steinhardt, Jacob and Song, Dawn},
  year = {2019},
  journal = {arXiv},
  url = {http://arxiv.org/abs/1907.07174v4},
  eprint = {1907.07174}
}
Metadata:arXiv

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