# Certified Robustness on ImageNet

Source: [Certified Robustness on ImageNet](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-06-29T06:50:24.982Z

Evaluation of model certified robustness on the standard ImageNet dataset, reporting certified accuracy across various L1 perturbation radii (0.5 to 3.0).

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Certified Robustness |
| Dataset (including any stated split) | ImageNet |
| Metric | Certified Accuracy (L1 R=0.5) |
| Unit | PERCENT |
| Direction | Higher is better |
| Results loaded | 14 of 14 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Certified Accuracy (L1 R=0.5)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet.md?metric=Certified%20Accuracy%20(L1%20R%3D0.5)>): Higher is better; unit: PERCENT.

- [Certified Accuracy (L1 R=1.0)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet.md?metric=Certified%20Accuracy%20(L1%20R%3D1.0)>): Higher is better; unit: PERCENT.

- [Certified Accuracy (L1 R=1.5)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet.md?metric=Certified%20Accuracy%20(L1%20R%3D1.5)>): Higher is better; unit: PERCENT.

- [Certified Accuracy (L1 R=2.0)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet.md?metric=Certified%20Accuracy%20(L1%20R%3D2.0)>): Higher is better; unit: PERCENT.

- [Certified Accuracy (L1 R=2.5)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet.md?metric=Certified%20Accuracy%20(L1%20R%3D2.5)>): Higher is better; unit: PERCENT.

- [Certified Accuracy (L1 R=3.0)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet.md?metric=Certified%20Accuracy%20(L1%20R%3D3.0)>): Higher is better; unit: PERCENT.

- [Certified Accuracy](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet.md?metric=Certified%20Accuracy>): Higher is better; unit: PERCENT.

- [Robustness Delta (%)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet.md?metric=Robustness%20Delta%20(%25)>): Lower is better; unit: PERCENT.

- [Exit Iterations](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet.md?metric=Exit%20Iterations>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Certified Accuracy (L1 R=0.5) | Result date | Report paper |
| --- | --- | --- | --- |
| Uniform, LBS | 71.6 | Not recorded | 69f1907655a3c32af89fb9b2 |
| Laplace, LBS | 70.5 | Not recorded | 69f1907655a3c32af89fb9b2 |
| Uniform (w/), Yang et al. (2020) | 53.6 | Not recorded | 69f1907655a3c32af89fb9b2 |
| Laplace (w/), Teng et al. (2020) | 47.1 | Not recorded | 69f1907655a3c32af89fb9b2 |
| Laplace (w/), Lecuyer et al. (2019) | 42.8 | Not recorded | 69f1907655a3c32af89fb9b2 |
| Laplace (w/o), Teng et al. (2020) | 5.8 | Not recorded | 69f1907655a3c32af89fb9b2 |
| Uniform (w/o), Yang et al. (2020) | 5.7 | Not recorded | 69f1907655a3c32af89fb9b2 |
| Laplace (w/o), Lecuyer et al. (2019) | 5.4 | Not recorded | 69f1907655a3c32af89fb9b2 |

### Uniform, LBS

Certified Accuracy (L1 R=0.5): 71.6. Result ID: 69f1b0d047f34ce924d7bfd0.

[Reporting paper](<https://www.sota2.com/research/paper/69f1907655a3c32af89fb9b2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f1907655a3c32af89fb9b2.md>)

Recorded evaluation configuration: {"Noise Distribution":"Uniform"}. This record does not assert independent reproduction.

### Laplace, LBS

Certified Accuracy (L1 R=0.5): 70.5. Result ID: 69f1b0d047f34ce924d7bfcf.

[Reporting paper](<https://www.sota2.com/research/paper/69f1907655a3c32af89fb9b2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69f1907655a3c32af89fb9b2.md>)

Recorded evaluation configuration: {"Noise Distribution":"Laplace"}. This record does not assert independent reproduction.

### Uniform (w/), Yang et al. (2020)

Certified Accuracy (L1 R=0.5): 53.6. Result ID: 69f1b0d047f34ce924d7bfce.

[Reporting paper](<https://www.sota2.com/research/paper/69f1907655a3c32af89fb9b2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa680d1e209131cea19df0.md>)

Recorded evaluation configuration: {"Noise Distribution":"Uniform","Noise-Augmented Training":"true"}. This record does not assert independent reproduction.

### Laplace (w/), Teng et al. (2020)

Certified Accuracy (L1 R=0.5): 47.1. Result ID: 69f1b0d047f34ce924d7bfcd.

[Reporting paper](<https://www.sota2.com/research/paper/69f1907655a3c32af89fb9b2.md>)

Recorded evaluation configuration: {"Noise Distribution":"Laplace","Noise-Augmented Training":"true"}. This record does not assert independent reproduction.

### Laplace (w/), Lecuyer et al. (2019)

Certified Accuracy (L1 R=0.5): 42.8. Result ID: 69f1b0d047f34ce924d7bfcc.

[Reporting paper](<https://www.sota2.com/research/paper/69f1907655a3c32af89fb9b2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa65d91e209131cea0cc5b.md>)

Recorded evaluation configuration: {"Noise Distribution":"Laplace","Noise-Augmented Training":"true"}. This record does not assert independent reproduction.

### Laplace (w/o), Teng et al. (2020)

Certified Accuracy (L1 R=0.5): 5.8. Result ID: 69f1b0d047f34ce924d7bfca.

[Reporting paper](<https://www.sota2.com/research/paper/69f1907655a3c32af89fb9b2.md>)

Recorded evaluation configuration: {"Noise Distribution":"Laplace","Noise-Augmented Training":"false"}. This record does not assert independent reproduction.

### Uniform (w/o), Yang et al. (2020)

Certified Accuracy (L1 R=0.5): 5.7. Result ID: 69f1b0d047f34ce924d7bfcb.

[Reporting paper](<https://www.sota2.com/research/paper/69f1907655a3c32af89fb9b2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa680d1e209131cea19df0.md>)

Recorded evaluation configuration: {"Noise Distribution":"Uniform","Noise-Augmented Training":"false"}. This record does not assert independent reproduction.

### Laplace (w/o), Lecuyer et al. (2019)

Certified Accuracy (L1 R=0.5): 5.4. Result ID: 69f1b0d047f34ce924d7bfc9.

[Reporting paper](<https://www.sota2.com/research/paper/69f1907655a3c32af89fb9b2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa65d91e209131cea0cc5b.md>)

Recorded evaluation configuration: {"Noise Distribution":"Laplace","Noise-Augmented Training":"false"}. This record does not assert independent reproduction.

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