VLM4Cluster: Benchmarking Deep Clustering In the Era of Vision-Language Pre-training
Organizations: University College London · The University of Queensland · Southeast University · University of Science and Technology of China · Auckland University of Technology
Abstract
Vision-language pre-training has reshaped image clustering, giving rise to language-assisted image clustering (LaIC), which leverages textual semantics to complement visual representations. Despite the rapid proliferation of LaIC methods, it remains unclear how much LaIC has actually advanced image clustering, as existing studies generally suffer from major limitations, including inconsistent experimental settings, inadequate dataset selection, and limited evaluation dimensions. To address this gap, we introduce VLM4Cluster, a comprehensive benchmark for image clustering in the era of pre-trained vision-language models (VLMs). VLM4Cluster implements 17 representative methods spanning classical, deep, and language-assisted image clustering, and evaluates them on 20 datasets covering classical, challenging, fine-grained, large-scale, and out-of-distribution settings. Beyond effectiveness, VLM4Cluster systematically investigates image clustering along three complementary dimensions: robustness to adversarial perturbations, generalization under distribution shifts, and computational efficiency. Our study shows that LaIC substantially advances the clustering performance frontier on many semantically demanding benchmarks, generally exhibits stronger generalization under distribution shifts, and achieves a more favorable effectiveness-efficiency trade-off. However, its gains become less consistent on large-scale and fine-grained datasets, while language assistance does not systematically reduce sensitivity to adversarial perturbations. VLM4Cluster is released at https://github.com/YuanweiHuu/VLM4Cluster.
Figures & tables
| Algorithms | |
| Classical Image Clustering | -means, Spectral Clustering (SC), EnSC-ORGEN, SSC-OMP |
| Deep Image Clustering | IDC, SCAN, CPP, TEMI, PRO-DSC |
| Language-assisted Image Clustering (LaIC) | SIC, TAC, TAC++, SAC, GradNorm, NTK-SC, SEIC, MAGIC |
| Datasets | |
| Classical | CIFAR-10, CIFAR-20, STL-10, ImageNet-10, ImageNet-Dogs |
| Challenging | DTD, UCF-101, CIFAR-100 |
| Dataset | STL-10 | CIFAR-10 | CIFAR-20 | ImageNet-10 | ImageNet-Dogs | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | |||||||||||||||
| -means | 93.0 | 96.1 | 93.4 | 74.8 | 73.5 | 63.6 | 59.2 | 48.6 | 35.6 | 94.2 | 96.0 | 93.3 | 64.0 | 60.3 | 48.1 |
| SC | 90.2 | 95.3 | 90.1 | 73.9 | 78.2 | 67.5 | 53.4 | 52.8 | 39.8 | 94.1 | 96.4 | 92.4 | 44.1 | 43.9 | 27.6 |
| SSC-OMP | 78.6 | 83.4 | 72.9 | 71.7 | 74.0 | 62.5 | 55.5 | 47.6 | 35.2 | 89.6 | 94.0 | 87.4 | 30.3 | 34.3 | 15.6 |
| EnSC-ORGEN | 78.8 | 83.8 | 73.0 | 75.8 | 82.2 | 70.8 | 58.9 | 52.1 | 40.3 | 93.3 | 96.4 | 92.3 | 34.9 | 42.4 | 19.7 |
| Dataset | Aircraft | Cars | Flowers | Food | Pets | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | |||||||||||||||
| -means | 48.2 | 21.6 | 11.7 | 80.4 | 53.4 | 46.7 | 88.3 | 72.4 | 68.6 | 74.7 | 57.6 | 54.1 | 79.9 | 68.2 | 60.9 |
| SC | 45.2 | 21.6 | 11.3 | 75.0 | 45.4 | 39.2 | 86.4 | 72.9 | 70.6 | 66.1 | 55.3 | 44.4 | 71.5 | 67.1 | 60.9 |
| SSC-OMP | 41.8 | 17.9 | 6.6 | 62.4 | 37.4 | 21.8 | 51.5 | 31.4 | 22.0 | 47.9 | 36.2 | 23.0 | 42.9 | 30.5 | 17.6 |
| EnSC-ORGEN | 45.8 | 22.3 | 9.8 | 77.3 | 55.8 | 41.3 | 86.0 | 71.7 | 65.4 | 71.7 | 63.9 | 48.2 | 61.2 | 54.0 | 37.3 |
| Dataset | ImageNet-A | ImageNet-C | ImageNet-R | ImageNet-V2 | ImageNet-S | Average | Effective Robustness | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Deep Image Clustering | |||||||||||||||||||||
| IDC | 47.6 | 12.2 | 4.1 | 66.9 | 34.8 | 12.8 | 53.2 | 31.8 | 14.2 | 76.8 | 38.2 | 18.1 | 61.0 | 25.1 | 2.8 | 61.1 | 28.4 | 10.4 | +1.59 | +0.39 | -0.98 |
| SCAN | 49.0 | 12.3 | 4.1 | 69.2 | 39.0 | 11.0 | 53.1 | 32.1 | 9.6 | 78.2 | 41.0 | 23.1 | 59.3 | 24.6 | 1.9 | 61.8 | 29.8 | 9.9 | -1.32 | -0.92 | -5.60 |
| CPP | 36.4 | 11.4 | 2.1 | 63.8 | 31.8 | 9.0 | 34.7 | 20.9 | 5.1 | 74.6 | 35.8 | 7.3 | 55.8 | 20.7 | 3.7 | 53.1 | 24.1 | 5.4 | -2.34 | -2.02 | -0.54 |
| TEMI | 50.3 | 12.4 | 4.2 | 72.3 | 45.7 | 23.2 | 54.7 | 33.6 | 14.7 | 80.1 | 46.6 | 27.1 | 64.5 | 30.7 | 5.0 | 64.4 | 33.8 | 14.8 | -3.34 | -2.86 | -5.16 |
Appendix figures & tables27 assets
Supplementary material from the paper’s appendix.
Appendix
| Dataset | Training Split | Test Split | # of Training | # of Test | # of Classes |
| Classical Datasets | |||||
| STL-10 | Train | Test | 5000 | 8000 | 10 |
| CIFAR-10 | Train | Test | 50000 | 10000 | 10 |
| CIFAR-20 | Train | Test | 50000 | 10000 | 20 |
| ImageNet-10 | Train | Test | 13000 | 500 | 10 |
| ImageNet-Dogs | Train | Test | 19500 | 750 | 15 |
| Method | Hyperparameter | Values |
|---|---|---|
| General Settings | # of classes | |
| # of training sample | ||
| optimizer | Adam, AdamW, SGD | |
| learning rate | ||
| weight decay | ||
| epochs | 10, 20, 50, 100, 200, 500, 800 |
| Dataset | STL-10 | CIFAR-10 | CIFAR-20 | ImageNet-10 | ImageNet-Dogs | Average | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||||||||
| -means | 95.6 | 98.2 | 96.0 | 78.7 | 80.8 | 71.3 | 61.6 | 55.7 | 40.2 | 97.4 | 98.4 | 96.5 | 64.8 | 61.2 | 47.2 | 79.6 | 78.9 | 70.2 |
| SC | 95.3 | 98.1 | 95.9 | 77.8 | 81.5 | 72.2 | 54.1 | 53.5 | 39.2 | 96.6 | 98.0 | 95.7 | 46.7 | 45.1 | 30.0 | 74.1 | 75.2 | 66.6 |
| SSC-OMP | 82.4 | 84.1 | 76.9 | 73.9 | 76.7 | 66.2 | 58.0 | 50.8 | 37.6 | 86.7 | 90.0 | 81.8 | 34.0 | 36.9 | 18.4 | 67.0 | 67.7 | 56.2 |
| EnSC-ORGEN | 83.4 | 88.3 | 78.8 | 78.6 | 83.5 | 73.8 | 62.3 | 53.3 | 39.3 | 79.9 | 89.2 | 77.9 | 49.4 | 53.7 | 34.5 | 70.7 | 73.6 | 60.9 |
| Dataset | CIFAR-100 | DTD | UCF101 | Average | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| zero-shot | 75.2 | 71.4 | 53.4 | 62.7 | 50.9 | 35.3 | 80.6 | 67.0 | 53.1 | 72.8 | 63.1 | 47.3 |
| Classical Image Clustering | ||||||||||||
| -means | 70.9 | 55.2 | 42.5 | 67.5 | 54.7 | 39.7 | 83.3 | 62.8 | 55.8 | 73.9 | 57.6 | 46.0 |
| SC | 69.2 | 55.4 | 44.9 | 66.3 | 56.6 | 42.8 | 82.9 | 64.9 | 56.5 | 72.8 | 59.0 | 48.0 |
| SSC-OMP | 62.4 | 46.4 | 31.9 | 58.9 | 47.3 | 31.3 | 66.4 | 40.0 | 28.0 | 62.6 | 44.6 | 30.4 |
| Dataset | Places | ImageNet | Average | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | |||||||||
| -means | 58.8 | 30.9 | 18.8 | 77.0 | 46.4 | 35.3 | 67.9 | 38.7 | 27.1 |
| SC | 57.4 | 30.8 | 19.0 | 75.4 | 43.3 | 33.1 | 66.4 | 37.0 | 26.0 |
| SSC-OMP | 52.0 | 24.3 | 11.2 | 66.1 | 31.7 | 13.7 | 59.1 | 28.0 | 12.5 |
| EnSC-ORGEN | 61.2 | 32.8 | 20.7 | 75.4 | 47.1 | 27.7 | 68.3 | 40.0 | 24.2 |
| Dataset | Aircraft | Flowers | Food | Cars | Pets | Average | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||||||||
| -means | 52.2 | 25.7 | 15.4 | 91.5 | 76.6 | 75.9 | 80.9 | 64.6 | 63.4 | 84.0 | 58.8 | 51.7 | 81.4 | 71.4 | 63.1 | 78.0 | 59.4 | 53.9 |
| SC | 47.4 | 22.8 | 13.3 | 88.2 | 77.4 | 75.0 | 74.2 | 63.0 | 54.4 | 81.1 | 54.4 | 49.4 | 63.0 | 50.7 | 43.3 | 70.8 | 53.7 | 47.1 |
| SSC-OMP | 43.2 | 19.4 | 8.0 | 51.1 | 30.7 | 19.4 | 54.0 | 41.5 | 28.3 | 66.2 | 40.5 | 25.6 | 44.9 | 32.2 | 19.1 | 51.9 | 32.9 | 20.1 |
| EnSC-ORGEN | 49.1 | 25.0 | 12.7 | 87.9 | 73.8 | 65.9 | 79.1 | 73.8 | 61.1 | 80.0 | 61.5 | 47.1 | 64.3 | 54.5 | 39.2 | 72.1 | 57.7 | 45.2 |
| Dataset | STL-10 | CIFAR-10 | CIFAR-20 | ImageNet-10 | ImageNet-Dogs | Average | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||||||||
| -means | 97.4 | 99.0 | 97.8 | 83.7 | 86.5 | 78.5 | 64.2 | 56.6 | 42.9 | 98.6 | 99.2 | 98.2 | 74.2 | 68.5 | 58.0 | 83.6 | 81.9 | 75.1 |
| SC | 97.0 | 98.8 | 97.3 | 82.5 | 82.9 | 75.8 | 59.2 | 58.5 | 44.2 | 98.7 | 99.4 | 98.7 | 56.8 | 56.0 | 42.3 | 78.8 | 79.1 | 71.7 |
| SSC-OMP | 89.3 | 93.8 | 87.6 | 84.4 | 85.9 | 79.5 | 62.8 | 56.0 | 42.2 | 96.2 | 97.8 | 95.2 | 40.3 | 38.8 | 21.7 | 74.6 | 74.5 | 65.3 |
| EnSC-ORGEN | 86.0 | 90.3 | 81.0 | 78.5 | 84.0 | 77.7 | 60.1 | 53.8 | 40.5 | 91.1 | 94.2 | 88.0 | 52.0 | 57.9 | 36.2 | 73.5 | 76.0 | 64.7 |
| Dataset | CIFAR-100 | DTD | UCF101 | Average | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||
| -means | 75.3 | 58.4 | 48.9 | 67.9 | 57.4 | 42.5 | 84.7 | 65.2 | 57.6 | 76.0 | 60.3 | 49.7 |
| SC | 74.7 | 59.9 | 51.9 | 69.8 | 61.4 | 45.8 | 85.8 | 69.4 | 62.6 | 76.7 | 63.6 | 53.4 |
| SSC-OMP | 68.7 | 54.6 | 40.7 | 63.0 | 51.4 | 35.1 | 70.0 | 43.5 | 33.5 | 67.2 | 49.8 | 36.5 |
| EnSC-ORGEN | 73.8 | 58.3 | 43.0 | 66.5 | 56.4 | 38.9 | 79.1 | 53.6 | 44.2 | 73.1 | 56.1 | 42.0 |
| Dataset | Places | ImageNet | Average | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | |||||||||
| -means | 59.3 | 32.1 | 19.8 | 79.8 | 50.5 | 40.6 | 69.5 | 41.3 | 30.2 |
| SC | 57.0 | 31.0 | 19.2 | 79.0 | 47.6 | 38.8 | 68.0 | 39.3 | 29.0 |
| SSC-OMP | 53.4 | 26.3 | 13.0 | 70.5 | 38.1 | 17.7 | 62.0 | 32.2 | 15.3 |
| EnSC-ORGEN | 64.1 | 34.6 | 24.3 | 77.8 | 50.1 | 31.0 | 71.0 | 42.4 | 27.6 |
| Dataset | Aircraft | Flowers | Food | Cars | Pets | Average | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||||||||
| -means | 56.5 | 30.6 | 19.8 | 93.2 | 77.6 | 77.6 | 85.3 | 78.3 | 70.3 | 89.0 | 67.5 | 64.0 | 85.9 | 74.9 | 70.6 | 82.0 | 65.8 | 60.4 |
| SC | 52.6 | 28.3 | 19.7 | 92.7 | 83.9 | 83.3 | 82.0 | 70.6 | 64.4 | 86.8 | 62.2 | 60.0 | 71.2 | 57.0 | 52.7 | 77.1 | 60.4 | 56.0 |
| SSC-OMP | 47.9 | 23.8 | 11.9 | 62.0 | 41.8 | 34.8 | 68.0 | 54.5 | 42.1 | 75.6 | 53.6 | 41.2 | 54.9 | 46.1 | 31.8 | 61.7 | 44.0 | 32.4 |
| EnSC-ORGEN | 52.9 | 27.8 | 17.0 | 91.0 | 77.6 | 72.9 | 82.5 | 76.3 | 63.8 | 85.6 | 66.7 | 55.8 | 71.3 | 62.6 | 48.5 | 76.7 | 62.2 | 51.6 |
| Dataset | STL-10 | CIFAR-10 | CIFAR-20 | ImageNet-10 | ImageNet-Dogs | Average | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||||||||
| -means | 95.1 | 98.0 | 95.6 | 80.9 | 86.7 | 75.0 | 63.4 | 55.2 | 42.3 | 95.6 | 96.2 | 92.6 | 67.1 | 66.9 | 51.8 | 80.4 | 80.6 | 71.5 |
| SC | 94.0 | 97.5 | 94.5 | 79.3 | 82.7 | 74.6 | 56.5 | 55.2 | 42.3 | 95.6 | 97.2 | 94.1 | 50.4 | 49.6 | 34.0 | 75.1 | 76.4 | 67.9 |
| SSC-OMP | 79.5 | 86.1 | 74.5 | 77.8 | 83.0 | 73.2 | 59.5 | 52.6 | 39.8 | 90.7 | 94.4 | 88.4 | 39.3 | 47.6 | 24.2 | 69.4 | 72.7 | 60.0 |
| EnSC | 82.6 | 84.0 | 76.0 | 78.9 | 83.0 | 74.0 | 62.4 | 58.9 | 42.4 | 83.8 | 88.6 | 78.8 | 51.0 | 52.3 | 34.2 | 71.7 | 73.3 | 61.1 |
| Dataset | CIFAR-100 | DTD | UCF101 | Average | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||
| -means | 73.1 | 59.4 | 45.7 | 66.7 | 57.1 | 40.7 | 80.9 | 59.8 | 51.8 | 73.5 | 58.8 | 46.0 |
| SC | 72.2 | 59.6 | 49.5 | 66.4 | 55.1 | 42.8 | 81.8 | 63.2 | 55.6 | 73.4 | 59.3 | 49.3 |
| SSC-OMP | 63.9 | 49.3 | 34.8 | 59.4 | 48.1 | 31.6 | 63.5 | 37.7 | 25.1 | 62.3 | 45.0 | 30.5 |
| EnSC | 71.9 | 58.4 | 43.4 | 64.8 | 56.0 | 36.9 | 77.2 | 51.9 | 41.0 | 71.3 | 55.4 | 40.4 |
| Dataset | Places-365 | ImageNet-1K | Average | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | |||||||||
| -means | 58.4 | 31.2 | 18.3 | 75.1 | 43.3 | 31.7 | 66.7 | 37.2 | 25.0 |
| SC | 56.6 | 29.9 | 18.1 | 74.1 | 40.4 | 30.5 | 65.4 | 35.1 | 24.3 |
| SSC-OMP | 52.3 | 25.0 | 12.0 | 65.9 | 31.1 | 12.7 | 59.1 | 28.1 | 12.4 |
| EnSC | 57.0 | 30.2 | 15.2 | 74.9 | 46.1 | 26.9 | 65.9 | 38.1 | 21.0 |
| Dataset | Aircraft | Flowers | Food | Cars | Pets | Average | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||||||||
| -means | 55.3 | 27.2 | 17.9 | 89.2 | 72.2 | 70.2 | 75.5 | 68.5 | 54.5 | 81.0 | 55.2 | 47.8 | 81.5 | 70.4 | 63.6 | 76.5 | 58.7 | 50.8 |
| SC | 49.6 | 24.8 | 15.7 | 85.6 | 74.5 | 74.0 | 69.0 | 58.8 | 47.8 | 77.4 | 49.4 | 44.1 | 74.4 | 68.8 | 63.5 | 71.2 | 55.3 | 49.0 |
| SSC-OMP | 44.4 | 20.3 | 8.7 | 54.5 | 34.6 | 23.1 | 50.9 | 36.4 | 24.3 | 66.6 | 41.5 | 27.3 | 50.6 | 37.5 | 23.8 | 53.4 | 34.1 | 21.4 |
| EnSC | 50.4 | 25.7 | 13.3 | 86.5 | 76.9 | 66.2 | 73.7 | 65.9 | 51.4 | 78.8 | 59.1 | 45.8 | 67.1 | 57.9 | 44.8 | 71.3 | 57.1 | 44.3 |
| Dataset | STL-10 | CIFAR-10 | CIFAR-20 | ImageNet-10 | ImageNet-Dogs | Average | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||||||||
| -means | 92.2 | 94.2 | 88.6 | 77.7 | 78.8 | 68.8 | 58.1 | 51.1 | 36.8 | 98.6 | 99.0 | 98.2 | 77.0 | 74.5 | 63.6 | 80.7 | 79.5 | 71.2 |
| SC | 88.1 | 91.2 | 84.7 | 74.2 | 78.1 | 67.9 | 51.9 | 49.5 | 36.6 | 98.2 | 99.0 | 97.8 | 61.7 | 63.1 | 48.5 | 74.8 | 76.2 | 67.1 |
| SSC-OMP | 81.7 | 86.2 | 76.6 | 74.2 | 84.5 | 70.4 | 55.8 | 50.8 | 37.3 | 95.8 | 97.8 | 95.2 | 44.3 | 50.3 | 31.6 | 70.4 | 73.9 | 62.2 |
| EnSC-ORGEN | 87.9 | 85.9 | 80.5 | 83.0 | 90.8 | 80.9 | 59.9 | 49.5 | 38.2 | 98.4 | 99.2 | 98.2 | 66.9 | 73.2 | 55.5 | 79.2 | 79.7 | 70.7 |
| Dataset | CIFAR-100 | DTD | UCF101 | Average | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||
| -means | 68.3 | 51.5 | 36.7 | 67.8 | 54.7 | 40.6 | 82.8 | 63.4 | 54.4 | 73.0 | 56.5 | 43.9 |
| SC | 70.4 | 57.6 | 46.4 | 68.5 | 57.2 | 45.2 | 85.2 | 68.8 | 62.2 | 74.7 | 61.2 | 51.3 |
| SSC-OMP | 63.3 | 46.0 | 34.0 | 61.1 | 45.9 | 32.3 | 69.4 | 43.6 | 32.3 | 64.6 | 45.1 | 32.9 |
| EnSC-ORGEN | 71.4 | 57.8 | 43.4 | 66.5 | 55.6 | 39.1 | 81.7 | 58.1 | 49.0 | 73.2 | 57.2 | 43.9 |
| Dataset | Places | ImageNet | Average | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | |||||||||
| -means | 60.0 | 32.8 | 20.2 | 80.9 | 52.5 | 42.6 | 70.4 | 42.6 | 31.4 |
| SC | 58.2 | 32.6 | 20.2 | 80.5 | 48.7 | 40.4 | 69.3 | 40.6 | 30.3 |
| SSC-OMP | 54.6 | 26.8 | 13.2 | 73.7 | 42.6 | 21.4 | 64.2 | 34.7 | 17.3 |
| EnSC-ORGEN | 58.9 | 32.7 | 17.2 | 80.9 | 55.2 | 35.7 | 69.9 | 44.0 | 26.5 |
| Dataset | Aircraft | Flowers | Food | Cars | Pets | Average | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||||||||
| -means | 71.8 | 44.0 | 37.2 | 94.4 | 79.7 | 80.5 | 86.7 | 80.0 | 71.7 | 91.0 | 69.9 | 66.4 | 87.2 | 78.1 | 73.2 | 86.2 | 70.3 | 65.8 |
| SC | 63.6 | 39.2 | 33.2 | 94.4 | 87.3 | 87.9 | 83.7 | 75.4 | 68.7 | 88.4 | 63.7 | 62.9 | 72.3 | 57.5 | 53.3 | 80.5 | 64.6 | 61.2 |
| SSC-OMP | 55.2 | 34.1 | 21.1 | 69.9 | 47.3 | 41.6 | 73.2 | 60.7 | 49.2 | 79.8 | 58.2 | 47.2 | 63.9 | 56.0 | 42.6 | 68.4 | 51.2 | 40.3 |
| EnSC-ORGEN | 63.9 | 39.0 | 28.9 | 90.9 | 71.1 | 70.3 | 85.7 | 78.3 | 69.6 | 91.1 | 74.1 | 69.8 | 85.1 | 78.0 | 69.8 | 83.3 | 68.1 | 61.7 |
| Dataset | Pre-attack | Post-attack | Change (%) | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | |||||||||
| -means | 73.7 | 58.8 | 50.0 | 56.5 | 44.7 | 32.2 | 23.3 | 24.0 | 35.6 |
| SC | 69.5 | 57.8 | 48.5 | 53.2 | 41.8 | 30.7 | 23.5 | 27.7 | 36.7 |
| SSC-OMP | 58.0 | 44.5 | 31.8 | 45.0 | 33.4 | 20.4 | 22.4 | 24.9 | 35.8 |
| EnSC-ORGEN | 68.3 | 56.9 | 43.7 | 54.0 | 43.7 | 28.8 | 20.9 | 23.2 | 34.1 |
| Dataset | CIFAR-10 | CIFAR-20 | STL-10 | ImageNet-10 | ImageNet-Dogs | Average | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||||||||
| -means | 11.8 | 23.4 | 7.0 | 14.8 | 20.9 | 6.3 | 71.2 | 76.4 | 61.3 | 88.6 | 91.8 | 83.5 | 51.5 | 49.7 | 31.4 | 47.6 | 52.4 | 37.9 |
| SC | 11.8 | 23.7 | 7.4 | 13.6 | 20.5 | 6.5 | 69.3 | 75.1 | 61.1 | 86.5 | 91.0 | 81.4 | 41.2 | 41.7 | 24.5 | 44.5 | 50.4 | 36.2 |
| SSC-OMP | 11.5 | 22.8 | 7.8 | 11.7 | 17.9 | 6.1 | 67.9 | 73.6 | 59.5 | 81.2 | 89.0 | 78.1 | 29.1 | 32.4 | 14.0 | 40.3 | 47.1 | 33.1 |
| EnSC-ORGEN | 14.1 | 25.7 | 9.2 | 17.2 | 21.9 | 7.8 | 61.8 | 68.9 | 49.0 | 83.2 | 90.0 | 78.4 | 41.0 | 44.5 | 23.7 | 43.5 | 50.2 | 33.6 |
| Dataset | CIFAR-100 | DTD | UCF-101 | Average | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||
| -means | 27.6 | 13.3 | 4.3 | 57.4 | 46.1 | 28.6 | 69.4 | 46.2 | 33.5 | 51.5 | 35.2 | 22.2 |
| SC | 27.1 | 13.5 | 5.7 | 58.2 | 48.0 | 33.1 | 68.8 | 45.5 | 35.2 | 51.3 | 35.7 | 24.7 |
| SSC-OMP | 23.1 | 10.4 | 3.8 | 49.5 | 36.0 | 20.6 | 60.2 | 33.9 | 20.4 | 44.3 | 26.8 | 14.9 |
| EnSC-ORGEN | 28.9 | 14.9 | 5.6 | 55.1 | 43.0 | 25.7 | 67.3 | 41.6 | 28.5 | 50.4 | 33.2 | 19.9 |
| Dataset | Places365 | ImageNet-1K | Average | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | |||||||||
| -means | 54.1 | 25.8 | 13.5 | 68.1 | 32.7 | 20.4 | 61.1 | 29.2 | 16.9 |
| SC | 52.4 | 24.9 | 14.6 | 67.5 | 31.9 | 21.4 | 60.0 | 28.4 | 18.0 |
| SSC-OMP | 47.8 | 20.7 | 8.9 | 60.8 | 25.1 | 8.6 | 54.3 | 22.9 | 8.7 |
| EnSC-ORGEN | 52.9 | 26.6 | 11.7 | 69.1 | 38.0 | 19.7 | 61.0 | 32.3 | 15.7 |
| Dataset | Aircraft | Cars | Flowers | Food | Pets | Average | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI | NMI | ACC | ARI |
| Classical Image Clustering | ||||||||||||||||||
| -means | 43.3 | 18.5 | 8.4 | 73.3 | 44.6 | 35.0 | 81.5 | 65.5 | 58.0 | 64.3 | 57.1 | 40.9 | 71.4 | 59.0 | 50.1 | 66.7 | 48.9 | 38.5 |
| SC | 40.6 | 17.0 | 7.7 | 69.2 | 38.8 | 31.7 | 80.5 | 66.8 | 61.8 | 57.1 | 46.5 | 34.2 | 54.9 | 42.6 | 34.8 | 60.5 | 42.4 | 34.1 |
| SSC-OMP | 39.2 | 15.9 | 5.2 | 57.8 | 30.6 | 16.6 | 53.5 | 32.2 | 22.0 | 41.8 | 31.2 | 17.8 | 40.0 | 29.0 | 15.9 | 46.5 | 27.8 | 15.5 |
| EnSC-ORGEN | 42.4 | 19.4 | 7.6 | 70.5 | 47.2 | 32.1 | 82.7 | 65.8 | 58.8 | 62.8 | 55.1 | 38.1 | 61.4 | 53.4 | 35.8 | 64.0 | 48.2 | 34.5 |
| Dataset | STL-10 | CIFAR-10 | CIFAR-20 | ImageNet-10 | ImageNet-Dogs | Average | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | SIL | DBI | CHI | SIL | DBI | CHI | SIL | DBI | CHI | SIL | DBI | CHI | SIL | DBI | CHI | SIL | DBI | CHI |
| Classical Image Clustering | ||||||||||||||||||
| -means | 0.207 | 2.590 | 419.44 | 0.172 | 2.903 | 441.43 | 0.104 | 3.250 | 156.82 | 0.320 | 2.059 | 36.12 | 0.085 | 3.140 | 17.44 | 0.178 | 2.789 | 214.25 |
| SC | 0.203 | 2.622 | 415.40 | 0.164 | 2.974 | 430.53 | 0.071 | 3.583 | 142.61 | 0.325 | 2.020 | 37.51 | 0.045 | 3.214 | 14.78 | 0.162 | 2.883 | 208.17 |
| SSC-OMP | 0.160 | 3.405 | 367.07 | 0.120 | 3.777 | 383.19 | 0.056 | 4.154 | 128.14 | 0.297 | 2.113 | 34.72 | -0.030 | 5.255 | 8.38 | 0.120 | 3.741 | 184.30 |
| EnSC | 0.170 | 3.372 | 369.31 | 0.162 | 3.272 | 416.86 | 0.044 | 3.850 | 138.56 | 0.315 | 2.019 | 36.47 | 0.028 | 3.678 | 13.19 | 0.144 | 3.238 | 194.88 |
| Dataset | CIFAR-100 | DTD | UCF101 | Average | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | SIL | DBI | CHI | SIL | DBI | CHI | SIL | DBI | CHI | SIL | DBI | CHI |
| Classical Image Clustering | ||||||||||||
| -means | 0.105 | 3.140 | 58.57 | 0.138 | 2.771 | 21.08 | 0.211 | 2.307 | 33.63 | 0.151 | 2.739 | 37.76 |
| SC | 0.084 | 3.222 | 51.19 | 0.122 | 2.874 | 18.92 | 0.205 | 2.310 | 32.33 | 0.137 | 2.802 | 34.15 |
| SSC-OMP | 0.011 | 4.827 | 40.01 | 0.045 | 3.613 | 14.70 | 0.017 | 3.670 | 16.38 | 0.024 | 4.037 | 23.70 |
| EnSC | 0.048 | 3.430 | 51.17 | 0.064 | 3.277 | 17.26 | 0.104 | 2.643 | 26.47 | 0.072 | 3.117 | 31.63 |
| Dataset | Places-365 | ImageNet-1K | Average | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Metric | SIL | DBI | CHI | SIL | DBI | CHI | SIL | DBI | CHI |
| Classical Image Clustering | |||||||||
| -means | 0.070 | 3.303 | 58.90 | 0.047 | 3.162 | 39.10 | 0.058 | 3.232 | 49.00 |
| SC | 0.039 | 3.134 | 52.33 | 0.038 | 3.032 | 44.77 | 0.038 | 3.083 | 48.55 |
| SSC-OMP | -0.050 | 5.137 | 35.44 | -0.143 | 4.939 | 21.12 | -0.096 | 5.038 | 28.28 |
| EnSC | 0.013 | 3.536 | 50.94 | -0.021 | 3.390 | 34.26 | -0.004 | 3.463 | 42.60 |
| Dataset | Aircraft | Flowers | Food | Cars | Pets | Average | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Metric | SIL | DBI | CHI | SIL | DBI | CHI | SIL | DBI | CHI | SIL | DBI | CHI | SIL | DBI | CHI | SIL | DBI | CHI |
| Classical Image Clustering | ||||||||||||||||||
| -means | 0.059 | 3.136 | 20.02 | 0.216 | 2.361 | 69.61 | 0.123 | 3.034 | 148.57 | 0.124 | 2.790 | 35.86 | 0.117 | 3.228 | 64.55 | 0.128 | 2.910 | 67.72 |
| SC | 0.011 | 3.411 | 15.97 | 0.201 | 2.537 | 63.29 | 0.096 | 3.475 | 125.24 | 0.091 | 2.744 | 31.15 | 0.080 | 3.232 | 53.94 | 0.096 | 3.080 | 57.92 |
| SSC-OMP | -0.095 | 5.041 | 9.44 | -0.104 | 5.811 | 18.91 | -0.024 | 6.891 | 72.35 | -0.058 | 4.271 | 18.08 | -0.039 | 5.502 | 31.99 | -0.064 | 5.503 | 30.15 |
| EnSC | -0.038 | 3.717 | 15.19 | 0.137 | 2.625 | 60.39 | 0.075 | 3.350 | 133.45 | 0.074 | 2.906 | 32.10 | 0.037 | 3.329 | 52.94 | 0.057 | 3.185 | 58.82 |