# Generative Modeling on Fashion MNIST (train)

Source: [Generative Modeling on Fashion MNIST (train)](<https://www.sota2.com/research/sota/generative-modeling-on-fashion-mnist-train>)

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

Data updated: 2026-03-31T12:22:28.936Z

Evaluation of generative models on the training split of the Fashion MNIST dataset, typically assessed using log-likelihood metrics.

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 | Generative Modeling |
| Dataset (including any stated split) | Fashion MNIST (train) |
| Metric | Log Likelihood (100 samples) |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 51 of 51 |
| 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

- [Log Likelihood (100 samples)](<https://www.sota2.com/research/sota/generative-modeling-on-fashion-mnist-train.md?metric=Log%20Likelihood%20(100%20samples)>): Higher is better; unit: SCALAR.

- [ELBO (Train)](<https://www.sota2.com/research/sota/generative-modeling-on-fashion-mnist-train.md?metric=ELBO%20(Train)>): Higher is better; unit: SCALAR.

- [Log Evidence (Total)](<https://www.sota2.com/research/sota/generative-modeling-on-fashion-mnist-train.md?metric=Log%20Evidence%20(Total)>): Higher is better; unit: SCALAR.

## Recorded results

| Method | Log Likelihood (100 samples) | Result date | Report paper |
| --- | --- | --- | --- |
| CARMS-I | -230.77 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-G | -231.16 | Not recorded | 68fa6b171e209131cea2c13c |
| LOORF | -231.35 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-G | -231.67 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-I | -231.72 | Not recorded | 68fa6b171e209131cea2c13c |
| UNORD | -231.74 | Not recorded | 68fa6b171e209131cea2c13c |
| LOORF | -232.01 | Not recorded | 68fa6b171e209131cea2c13c |
| UNORD | -232.19 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-I | -233.13 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-G | -233.2 | Not recorded | 68fa6b171e209131cea2c13c |
| UNORD | -233.34 | Not recorded | 68fa6b171e209131cea2c13c |
| LOORF | -233.75 | Not recorded | 68fa6b171e209131cea2c13c |
| ARSM | -235.88 | Not recorded | 68fa6b171e209131cea2c13c |
| ARSM | -237.29 | Not recorded | 68fa6b171e209131cea2c13c |
| ARSM | -237.93 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-I | -240.44 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-G | -240.52 | Not recorded | 68fa6b171e209131cea2c13c |
| LOORF | -240.91 | Not recorded | 68fa6b171e209131cea2c13c |
| UNORD | -241.08 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-G | -241.9 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-I | -242.06 | Not recorded | 68fa6b171e209131cea2c13c |
| LOORF | -242.17 | Not recorded | 68fa6b171e209131cea2c13c |
| UNORD | -242.43 | Not recorded | 68fa6b171e209131cea2c13c |
| ARSM | -243.29 | Not recorded | 68fa6b171e209131cea2c13c |
| ARSM | -244.63 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-I | -245.44 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-G | -245.69 | Not recorded | 68fa6b171e209131cea2c13c |
| LOORF | -245.8 | Not recorded | 68fa6b171e209131cea2c13c |
| UNORD | -245.9 | Not recorded | 68fa6b171e209131cea2c13c |
| ARSM | -247.51 | Not recorded | 68fa6b171e209131cea2c13c |

### CARMS-I

Log Likelihood (100 samples): -230.77. Result ID: 698e5828ffc3901de09cce9d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Implementation](<https://github.com/alekdimi/carms>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"10"}. This record does not assert independent reproduction.

### CARMS-G

Log Likelihood (100 samples): -231.16. Result ID: 698e5828ffc3901de09cce9e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Implementation](<https://github.com/alekdimi/carms>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"10"}. This record does not assert independent reproduction.

### LOORF

Log Likelihood (100 samples): -231.35. Result ID: 698e5828ffc3901de09cce9f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"10"}. This record does not assert independent reproduction.

### CARMS-G

Log Likelihood (100 samples): -231.67. Result ID: 698e5828ffc3901de09cce99.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Implementation](<https://github.com/alekdimi/carms>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"5"}. This record does not assert independent reproduction.

### CARMS-I

Log Likelihood (100 samples): -231.72. Result ID: 698e5828ffc3901de09cce98.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Implementation](<https://github.com/alekdimi/carms>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"5"}. This record does not assert independent reproduction.

### UNORD

Log Likelihood (100 samples): -231.74. Result ID: 698e5828ffc3901de09ccea0.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa67031e209131cea13c2a.md>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"10"}. This record does not assert independent reproduction.

### LOORF

Log Likelihood (100 samples): -232.01. Result ID: 698e5828ffc3901de09cce9a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"5"}. This record does not assert independent reproduction.

### UNORD

Log Likelihood (100 samples): -232.19. Result ID: 698e5828ffc3901de09cce9b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa67031e209131cea13c2a.md>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"5"}. This record does not assert independent reproduction.

### CARMS-I

Log Likelihood (100 samples): -233.13. Result ID: 698e5828ffc3901de09cce93.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Implementation](<https://github.com/alekdimi/carms>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"3"}. This record does not assert independent reproduction.

### CARMS-G

Log Likelihood (100 samples): -233.2. Result ID: 698e5828ffc3901de09cce94.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Implementation](<https://github.com/alekdimi/carms>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"3"}. This record does not assert independent reproduction.

### UNORD

Log Likelihood (100 samples): -233.34. Result ID: 698e5828ffc3901de09cce96.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa67031e209131cea13c2a.md>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"3"}. This record does not assert independent reproduction.

### LOORF

Log Likelihood (100 samples): -233.75. Result ID: 698e5828ffc3901de09cce95.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"3"}. This record does not assert independent reproduction.

### ARSM

Log Likelihood (100 samples): -235.88. Result ID: 698e5828ffc3901de09ccea1.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66d51e209131cea12bf1.md>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"10"}. This record does not assert independent reproduction.

### ARSM

Log Likelihood (100 samples): -237.29. Result ID: 698e5828ffc3901de09cce9c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66d51e209131cea12bf1.md>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"5"}. This record does not assert independent reproduction.

### ARSM

Log Likelihood (100 samples): -237.93. Result ID: 698e5828ffc3901de09cce97.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66d51e209131cea12bf1.md>)

Recorded evaluation configuration: {"Network Architecture":"Nonlinear","Categories":"3"}. This record does not assert independent reproduction.

### CARMS-I

Log Likelihood (100 samples): -240.44. Result ID: 698e5828ffc3901de09cce8e.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Implementation](<https://github.com/alekdimi/carms>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"10"}. This record does not assert independent reproduction.

### CARMS-G

Log Likelihood (100 samples): -240.52. Result ID: 698e5828ffc3901de09cce8f.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Implementation](<https://github.com/alekdimi/carms>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"10"}. This record does not assert independent reproduction.

### LOORF

Log Likelihood (100 samples): -240.91. Result ID: 698e5828ffc3901de09cce90.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"10"}. This record does not assert independent reproduction.

### UNORD

Log Likelihood (100 samples): -241.08. Result ID: 698e5828ffc3901de09cce91.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa67031e209131cea13c2a.md>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"10"}. This record does not assert independent reproduction.

### CARMS-G

Log Likelihood (100 samples): -241.9. Result ID: 698e5828ffc3901de09cce8a.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Implementation](<https://github.com/alekdimi/carms>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"5"}. This record does not assert independent reproduction.

### CARMS-I

Log Likelihood (100 samples): -242.06. Result ID: 698e5828ffc3901de09cce89.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Implementation](<https://github.com/alekdimi/carms>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"5"}. This record does not assert independent reproduction.

### LOORF

Log Likelihood (100 samples): -242.17. Result ID: 698e5828ffc3901de09cce8b.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"5"}. This record does not assert independent reproduction.

### UNORD

Log Likelihood (100 samples): -242.43. Result ID: 698e5828ffc3901de09cce8c.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa67031e209131cea13c2a.md>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"5"}. This record does not assert independent reproduction.

### ARSM

Log Likelihood (100 samples): -243.29. Result ID: 698e5828ffc3901de09cce92.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66d51e209131cea12bf1.md>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"10"}. This record does not assert independent reproduction.

### ARSM

Log Likelihood (100 samples): -244.63. Result ID: 698e5828ffc3901de09cce8d.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66d51e209131cea12bf1.md>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"5"}. This record does not assert independent reproduction.

### CARMS-I

Log Likelihood (100 samples): -245.44. Result ID: 698e5828ffc3901de09cce84.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Implementation](<https://github.com/alekdimi/carms>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"3"}. This record does not assert independent reproduction.

### CARMS-G

Log Likelihood (100 samples): -245.69. Result ID: 698e5828ffc3901de09cce85.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Implementation](<https://github.com/alekdimi/carms>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"3"}. This record does not assert independent reproduction.

### LOORF

Log Likelihood (100 samples): -245.8. Result ID: 698e5828ffc3901de09cce86.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"3"}. This record does not assert independent reproduction.

### UNORD

Log Likelihood (100 samples): -245.9. Result ID: 698e5828ffc3901de09cce87.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa67031e209131cea13c2a.md>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"3"}. This record does not assert independent reproduction.

### ARSM

Log Likelihood (100 samples): -247.51. Result ID: 698e5828ffc3901de09cce88.

[Reporting paper](<https://www.sota2.com/research/paper/68fa6b171e209131cea2c13c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa66d51e209131cea12bf1.md>)

Recorded evaluation configuration: {"Network Architecture":"Linear","Categories":"3"}. This record does not assert independent reproduction.

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