# Certified Robustness on ImageNet (L2 Perturbation Bounds)

Source: [Certified Robustness on ImageNet (L2 Perturbation Bounds)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet-l2-perturbation-bounds>)

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

Data updated: 2026-05-26T10:49:47.197Z

Evaluation of model certified robustness on the standard ImageNet dataset, reporting certified accuracy across various L2 perturbation radii (0.0 to 1.0).

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 | Inference Time (s) |
| Unit | TIME |
| Direction | Lower is better |
| Results loaded | 18 of 18 |
| 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

- [Inference Time (s)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet-l2-perturbation-bounds.md?metric=Inference%20Time%20(s)>): Lower is better; unit: TIME.

- [Certified Accuracy (r=0.0)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet-l2-perturbation-bounds.md?metric=Certified%20Accuracy%20(r%3D0.0)>): Higher is better; unit: PERCENT.

- [Certified Accuracy (r=0.12)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet-l2-perturbation-bounds.md?metric=Certified%20Accuracy%20(r%3D0.12)>): Higher is better; unit: PERCENT.

- [Certified Accuracy (r=0.25)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet-l2-perturbation-bounds.md?metric=Certified%20Accuracy%20(r%3D0.25)>): Higher is better; unit: PERCENT.

- [Certified Accuracy (r=0.5)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet-l2-perturbation-bounds.md?metric=Certified%20Accuracy%20(r%3D0.5)>): Higher is better; unit: PERCENT.

- [Certified Accuracy (r=1.0)](<https://www.sota2.com/research/sota/certified-robustness-on-imagenet-l2-perturbation-bounds.md?metric=Certified%20Accuracy%20(r%3D1.0)>): Higher is better; unit: PERCENT.

## Recorded results

| Method | Inference Time (s) | Result date | Report paper |
| --- | --- | --- | --- |
| AS | 6.2 | Not recorded | 69f1907655a3c32af89fb9b2 |
| AS | 6.2 | Not recorded | 69f1907655a3c32af89fb9b2 |
| LBS | 10.8 | Not recorded | 69f1907655a3c32af89fb9b2 |
| Betting CS | 24.9 | Not recorded | 69f1907655a3c32af89fb9b2 |
| Betting CS | 24.9 | Not recorded | 69f1907655a3c32af89fb9b2 |
| ISS | 109.9 | Not recorded | 69f1907655a3c32af89fb9b2 |
| ISS | 109.9 | Not recorded | 69f1907655a3c32af89fb9b2 |
| Ensemble | 120.3 | Not recorded | 69f1907655a3c32af89fb9b2 |
| UCAN | 121.6 | Not recorded | 69f1907655a3c32af89fb9b2 |
| UCAN | 121.6 | Not recorded | 69f1907655a3c32af89fb9b2 |
| ADRE | 122.7 | Not recorded | 69f1907655a3c32af89fb9b2 |
| ADRE | 122.8 | Not recorded | 69f1907655a3c32af89fb9b2 |
| RS | 123.5 | Not recorded | 69f1907655a3c32af89fb9b2 |
| RS | 123.5 | Not recorded | 69f1907655a3c32af89fb9b2 |
| GENELLIPS | 163.74 | Not recorded | 6a152965dbd7150506f7e325 |
| Randomized Smoothing | 180.9 | Not recorded | 6a152965dbd7150506f7e325 |
| Denoising with Pre-trained Diffusion Models | 1535.94 | Not recorded | 6a152965dbd7150506f7e325 |
| DensePure | 2188.2 | Not recorded | 6a152965dbd7150506f7e325 |

### AS

Inference Time (s): 6.2. Result ID: 69f1b0d047f34ce924d7bfe6.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa77b71e209131cea74ee0.md>)

Recorded evaluation configuration: {"Training Augmentation":"standard (w/o)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### AS

Inference Time (s): 6.2. Result ID: 69f1b0d047f34ce924d7bfe9.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa77b71e209131cea74ee0.md>)

Recorded evaluation configuration: {"Training Augmentation":"noise-augmented (w/)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### LBS

Inference Time (s): 10.8. Result ID: 69f1b0d047f34ce924d7bfec.

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

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

Recorded evaluation configuration: {"sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### Betting CS

Inference Time (s): 24.9. Result ID: 69f1b0d047f34ce924d7bfe5.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa76ac1e209131cea6e5c9.md>)

[Implementation](<https://anonymous.4open.science/r/RS_conf_seq-DED8/README.md>)

Recorded evaluation configuration: {"Training Augmentation":"standard (w/o)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### Betting CS

Inference Time (s): 24.9. Result ID: 69f1b0d047f34ce924d7bfe8.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa76ac1e209131cea6e5c9.md>)

[Implementation](<https://anonymous.4open.science/r/RS_conf_seq-DED8/README.md>)

Recorded evaluation configuration: {"Training Augmentation":"noise-augmented (w/)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### ISS

Inference Time (s): 109.9. Result ID: 69f1b0d047f34ce924d7bfe1.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b791e209131cea2e5df.md>)

Recorded evaluation configuration: {"Training Augmentation":"standard (w/o)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### ISS

Inference Time (s): 109.9. Result ID: 69f1b0d047f34ce924d7bfe4.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b791e209131cea2e5df.md>)

Recorded evaluation configuration: {"Training Augmentation":"noise-augmented (w/)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### Ensemble

Inference Time (s): 120.3. Result ID: 69f1b0d047f34ce924d7bfea.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa6c281e209131cea32646.md>)

Recorded evaluation configuration: {"Training Augmentation":"noise-augmented (w/)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### UCAN

Inference Time (s): 121.6. Result ID: 69f1b0d047f34ce924d7bfe7.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fc598b3ef7ccd74e452bb8.md>)

Recorded evaluation configuration: {"Training Augmentation":"standard (w/o)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### UCAN

Inference Time (s): 121.6. Result ID: 69f1b0d047f34ce924d7bfeb.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fc598b3ef7ccd74e452bb8.md>)

Recorded evaluation configuration: {"Training Augmentation":"noise-augmented (w/)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### ADRE

Inference Time (s): 122.7. Result ID: 69f1b0d047f34ce924d7bfe0.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa671b1e209131cea1441b.md>)

Recorded evaluation configuration: {"Training Augmentation":"standard (w/o)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### ADRE

Inference Time (s): 122.8. Result ID: 69f1b0d047f34ce924d7bfe3.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa671b1e209131cea1441b.md>)

Recorded evaluation configuration: {"Training Augmentation":"noise-augmented (w/)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### RS

Inference Time (s): 123.5. Result ID: 69f1b0d047f34ce924d7bfdf.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa65de1e209131cea0cf72.md>)

Recorded evaluation configuration: {"Training Augmentation":"standard (w/o)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### RS

Inference Time (s): 123.5. Result ID: 69f1b0d047f34ce924d7bfe2.

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

[Method origin paper](<https://www.sota2.com/research/paper/68fa65de1e209131cea0cf72.md>)

Recorded evaluation configuration: {"Training Augmentation":"noise-augmented (w/)","sigma":"0.5","N":"100,000"}. This record does not assert independent reproduction.

### GENELLIPS

Inference Time (s): 163.74. Result ID: 6a157ac9fbc373592c0dae70.

[Reporting paper](<https://www.sota2.com/research/paper/6a152965dbd7150506f7e325.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a152965dbd7150506f7e325.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### Randomized Smoothing

Inference Time (s): 180.9. Result ID: 6a157ac9fbc373592c0dae6f.

[Reporting paper](<https://www.sota2.com/research/paper/6a152965dbd7150506f7e325.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa65de1e209131cea0cf72.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### Denoising with Pre-trained Diffusion Models

Inference Time (s): 1535.94. Result ID: 6a157ac9fbc373592c0dae6e.

[Reporting paper](<https://www.sota2.com/research/paper/6a152965dbd7150506f7e325.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6eb51e209131cea41a36.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### DensePure

Inference Time (s): 2188.2. Result ID: 6a157ac9fbc373592c0dae6d.

[Reporting paper](<https://www.sota2.com/research/paper/6a152965dbd7150506f7e325.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6dc51e209131cea3bfff.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

Page 1 of 1. This is an index page, not the full collection.
