# VAE Log-Likelihood Estimation on Fashion MNIST (test)

Source: [VAE Log-Likelihood Estimation on Fashion MNIST (test)](<https://www.sota2.com/research/sota/vae-log-likelihood-estimation-on-fashion-mnist-test>)

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

Data updated: 2026-02-26T05:48:42.587Z

Evaluation of Variational Autoencoder (VAE) performance on the test split of the Fashion MNIST dataset, measured by the estimated log-likelihood.

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 | VAE Log-Likelihood Estimation |
| Dataset (including any stated split) | Fashion MNIST (test) |
| Metric | Log-Likelihood |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 30 of 30 |
| 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](<https://www.sota2.com/research/sota/vae-log-likelihood-estimation-on-fashion-mnist-test.md?metric=Log-Likelihood>): Higher is better; unit: SCALAR.

## Recorded results

| Method | Log-Likelihood | Result date | Report paper |
| --- | --- | --- | --- |
| CARMS-I | -233.39 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-G | -233.81 | Not recorded | 68fa6b171e209131cea2c13c |
| LOORF | -234.02 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-G | -234.27 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-I | -234.37 | Not recorded | 68fa6b171e209131cea2c13c |
| UNORD | -234.41 | Not recorded | 68fa6b171e209131cea2c13c |
| LOORF | -234.7 | Not recorded | 68fa6b171e209131cea2c13c |
| UNORD | -234.81 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-I | -235.81 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-G | -235.89 | Not recorded | 68fa6b171e209131cea2c13c |
| UNORD | -236.06 | Not recorded | 68fa6b171e209131cea2c13c |
| LOORF | -236.47 | Not recorded | 68fa6b171e209131cea2c13c |
| ARSM | -238.55 | Not recorded | 68fa6b171e209131cea2c13c |
| ARSM | -239.83 | Not recorded | 68fa6b171e209131cea2c13c |
| ARSM | -240.46 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-I | -242.6 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-G | -242.69 | Not recorded | 68fa6b171e209131cea2c13c |
| LOORF | -243.1 | Not recorded | 68fa6b171e209131cea2c13c |
| UNORD | -243.27 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-G | -244.02 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-I | -244.16 | Not recorded | 68fa6b171e209131cea2c13c |
| LOORF | -244.27 | Not recorded | 68fa6b171e209131cea2c13c |
| UNORD | -244.55 | Not recorded | 68fa6b171e209131cea2c13c |
| ARSM | -245.43 | Not recorded | 68fa6b171e209131cea2c13c |
| ARSM | -246.69 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-I | -247.46 | Not recorded | 68fa6b171e209131cea2c13c |
| CARMS-G | -247.77 | Not recorded | 68fa6b171e209131cea2c13c |
| LOORF | -247.82 | Not recorded | 68fa6b171e209131cea2c13c |
| UNORD | -247.92 | Not recorded | 68fa6b171e209131cea2c13c |
| ARSM | -249.5 | Not recorded | 68fa6b171e209131cea2c13c |

### CARMS-I

Log-Likelihood: -233.39. Result ID: 698e5828ffc3901de09ccef7.

[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: {"Architecture":"Nonlinear","Categories (C)":"10","Latent variables":"20","Samples per gradient step":"10"}. This record does not assert independent reproduction.

### CARMS-G

Log-Likelihood: -233.81. Result ID: 698e5828ffc3901de09ccef8.

[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: {"Architecture":"Nonlinear","Categories (C)":"10","Latent variables":"20","Samples per gradient step":"10"}. This record does not assert independent reproduction.

### LOORF

Log-Likelihood: -234.02. Result ID: 698e5828ffc3901de09ccef9.

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

Recorded evaluation configuration: {"Architecture":"Nonlinear","Categories (C)":"10","Latent variables":"20","Samples per gradient step":"10"}. This record does not assert independent reproduction.

### CARMS-G

Log-Likelihood: -234.27. Result ID: 698e5828ffc3901de09ccef3.

[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: {"Architecture":"Nonlinear","Categories (C)":"5","Latent variables":"40","Samples per gradient step":"5"}. This record does not assert independent reproduction.

### CARMS-I

Log-Likelihood: -234.37. Result ID: 698e5828ffc3901de09ccef2.

[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: {"Architecture":"Nonlinear","Categories (C)":"5","Latent variables":"40","Samples per gradient step":"5"}. This record does not assert independent reproduction.

### UNORD

Log-Likelihood: -234.41. Result ID: 698e5828ffc3901de09ccefa.

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

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

Recorded evaluation configuration: {"Architecture":"Nonlinear","Categories (C)":"10","Latent variables":"20","Samples per gradient step":"10"}. This record does not assert independent reproduction.

### LOORF

Log-Likelihood: -234.7. Result ID: 698e5828ffc3901de09ccef4.

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

Recorded evaluation configuration: {"Architecture":"Nonlinear","Categories (C)":"5","Latent variables":"40","Samples per gradient step":"5"}. This record does not assert independent reproduction.

### UNORD

Log-Likelihood: -234.81. Result ID: 698e5828ffc3901de09ccef5.

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

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

Recorded evaluation configuration: {"Architecture":"Nonlinear","Categories (C)":"5","Latent variables":"40","Samples per gradient step":"5"}. This record does not assert independent reproduction.

### CARMS-I

Log-Likelihood: -235.81. Result ID: 698e5828ffc3901de09cceed.

[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: {"Architecture":"Nonlinear","Categories (C)":"3","Latent variables":"66","Samples per gradient step":"3"}. This record does not assert independent reproduction.

### CARMS-G

Log-Likelihood: -235.89. Result ID: 698e5828ffc3901de09cceee.

[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: {"Architecture":"Nonlinear","Categories (C)":"3","Latent variables":"66","Samples per gradient step":"3"}. This record does not assert independent reproduction.

### UNORD

Log-Likelihood: -236.06. Result ID: 698e5828ffc3901de09ccef0.

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

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

Recorded evaluation configuration: {"Architecture":"Nonlinear","Categories (C)":"3","Latent variables":"66","Samples per gradient step":"3"}. This record does not assert independent reproduction.

### LOORF

Log-Likelihood: -236.47. Result ID: 698e5828ffc3901de09cceef.

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

Recorded evaluation configuration: {"Architecture":"Nonlinear","Categories (C)":"3","Latent variables":"66","Samples per gradient step":"3"}. This record does not assert independent reproduction.

### ARSM

Log-Likelihood: -238.55. Result ID: 698e5828ffc3901de09ccefb.

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

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

Recorded evaluation configuration: {"Architecture":"Nonlinear","Categories (C)":"10","Latent variables":"20","Samples per gradient step":"10"}. This record does not assert independent reproduction.

### ARSM

Log-Likelihood: -239.83. Result ID: 698e5828ffc3901de09ccef6.

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

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

Recorded evaluation configuration: {"Architecture":"Nonlinear","Categories (C)":"5","Latent variables":"40","Samples per gradient step":"5"}. This record does not assert independent reproduction.

### ARSM

Log-Likelihood: -240.46. Result ID: 698e5828ffc3901de09ccef1.

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

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

Recorded evaluation configuration: {"Architecture":"Nonlinear","Categories (C)":"3","Latent variables":"66","Samples per gradient step":"3"}. This record does not assert independent reproduction.

### CARMS-I

Log-Likelihood: -242.6. Result ID: 698e5828ffc3901de09ccee8.

[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: {"Architecture":"Linear","Categories (C)":"10","Latent variables":"20","Samples per gradient step":"10"}. This record does not assert independent reproduction.

### CARMS-G

Log-Likelihood: -242.69. Result ID: 698e5828ffc3901de09ccee9.

[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: {"Architecture":"Linear","Categories (C)":"10","Latent variables":"20","Samples per gradient step":"10"}. This record does not assert independent reproduction.

### LOORF

Log-Likelihood: -243.1. Result ID: 698e5828ffc3901de09cceea.

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

Recorded evaluation configuration: {"Architecture":"Linear","Categories (C)":"10","Latent variables":"20","Samples per gradient step":"10"}. This record does not assert independent reproduction.

### UNORD

Log-Likelihood: -243.27. Result ID: 698e5828ffc3901de09cceeb.

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

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

Recorded evaluation configuration: {"Architecture":"Linear","Categories (C)":"10","Latent variables":"20","Samples per gradient step":"10"}. This record does not assert independent reproduction.

### CARMS-G

Log-Likelihood: -244.02. Result ID: 698e5828ffc3901de09ccee4.

[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: {"Architecture":"Linear","Categories (C)":"5","Latent variables":"40","Samples per gradient step":"5"}. This record does not assert independent reproduction.

### CARMS-I

Log-Likelihood: -244.16. Result ID: 698e5828ffc3901de09ccee3.

[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: {"Architecture":"Linear","Categories (C)":"5","Latent variables":"40","Samples per gradient step":"5"}. This record does not assert independent reproduction.

### LOORF

Log-Likelihood: -244.27. Result ID: 698e5828ffc3901de09ccee5.

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

Recorded evaluation configuration: {"Architecture":"Linear","Categories (C)":"5","Latent variables":"40","Samples per gradient step":"5"}. This record does not assert independent reproduction.

### UNORD

Log-Likelihood: -244.55. Result ID: 698e5828ffc3901de09ccee6.

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

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

Recorded evaluation configuration: {"Architecture":"Linear","Categories (C)":"5","Latent variables":"40","Samples per gradient step":"5"}. This record does not assert independent reproduction.

### ARSM

Log-Likelihood: -245.43. Result ID: 698e5828ffc3901de09cceec.

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

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

Recorded evaluation configuration: {"Architecture":"Linear","Categories (C)":"10","Latent variables":"20","Samples per gradient step":"10"}. This record does not assert independent reproduction.

### ARSM

Log-Likelihood: -246.69. Result ID: 698e5828ffc3901de09ccee7.

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

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

Recorded evaluation configuration: {"Architecture":"Linear","Categories (C)":"5","Latent variables":"40","Samples per gradient step":"5"}. This record does not assert independent reproduction.

### CARMS-I

Log-Likelihood: -247.46. Result ID: 698e5828ffc3901de09ccede.

[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: {"Architecture":"Linear","Categories (C)":"3","Latent variables":"66","Samples per gradient step":"3"}. This record does not assert independent reproduction.

### CARMS-G

Log-Likelihood: -247.77. Result ID: 698e5828ffc3901de09ccedf.

[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: {"Architecture":"Linear","Categories (C)":"3","Latent variables":"66","Samples per gradient step":"3"}. This record does not assert independent reproduction.

### LOORF

Log-Likelihood: -247.82. Result ID: 698e5828ffc3901de09ccee0.

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

Recorded evaluation configuration: {"Architecture":"Linear","Categories (C)":"3","Latent variables":"66","Samples per gradient step":"3"}. This record does not assert independent reproduction.

### UNORD

Log-Likelihood: -247.92. Result ID: 698e5828ffc3901de09ccee1.

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

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

Recorded evaluation configuration: {"Architecture":"Linear","Categories (C)":"3","Latent variables":"66","Samples per gradient step":"3"}. This record does not assert independent reproduction.

### ARSM

Log-Likelihood: -249.5. Result ID: 698e5828ffc3901de09ccee2.

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

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

Recorded evaluation configuration: {"Architecture":"Linear","Categories (C)":"3","Latent variables":"66","Samples per gradient step":"3"}. This record does not assert independent reproduction.

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