# Statistical Dependence Measurement on MNIST

Source: [Statistical Dependence Measurement on MNIST](<https://www.sota2.com/research/sota/statistical-dependence-measurement-on-mnist>)

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

Data updated: 2026-03-13T07:48:17.257Z

Evaluation of statistical dependence metrics, such as mutual information proxies, calculated on the MNIST dataset.

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 | Statistical Dependence Measurement |
| Dataset (including any stated split) | MNIST |
| Metric | Dependence (X, Y') |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 7 of 7 |
| 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

- [Dependence (X, Y')](<https://www.sota2.com/research/sota/statistical-dependence-measurement-on-mnist.md?metric=Dependence%20(X%2C%20Y%27)>): Higher is better; unit: SCALAR.

- [Dependence (Y, Y')](<https://www.sota2.com/research/sota/statistical-dependence-measurement-on-mnist.md?metric=Dependence%20(Y%2C%20Y%27)>): Higher is better; unit: SCALAR.

- [Dependence (Y', X')](<https://www.sota2.com/research/sota/statistical-dependence-measurement-on-mnist.md?metric=Dependence%20(Y%27%2C%20X%27)>): Higher is better; unit: SCALAR.

- [Dependence (X\_tilde, X')](<https://www.sota2.com/research/sota/statistical-dependence-measurement-on-mnist.md?metric=Dependence%20(X_tilde%2C%20X%27)>): Higher is better; unit: SCALAR.

- [Dependence (X\_tilde, X)](<https://www.sota2.com/research/sota/statistical-dependence-measurement-on-mnist.md?metric=Dependence%20(X_tilde%2C%20X)>): Higher is better; unit: SCALAR.

- [Dependence (X, X')](<https://www.sota2.com/research/sota/statistical-dependence-measurement-on-mnist.md?metric=Dependence%20(X%2C%20X%27)>): Higher is better; unit: SCALAR.

## Recorded results

| Method | Dependence (X, Y') | Result date | Report paper |
| --- | --- | --- | --- |
| NMF-DR | 28.81 | Not recorded | 69b399ea0636e5bf4afbc8e9 |
| TRACE | 28.28 | Not recorded | 69b399ea0636e5bf4afbc8e9 |
| LOGDET | 27.98 | Not recorded | 69b399ea0636e5bf4afbc8e9 |
| HSIC | 11.62 | Not recorded | 69b399ea0636e5bf4afbc8e9 |
| KICA | 9.43 | Not recorded | 69b399ea0636e5bf4afbc8e9 |
| KDE | 2.5 | Not recorded | 69b399ea0636e5bf4afbc8e9 |
| MINE | 1.85 | Not recorded | 69b399ea0636e5bf4afbc8e9 |

### NMF-DR

Dependence (X, Y'): 28.81. Result ID: 69b3c13047f34ce9249d810b.

[Reporting paper](<https://www.sota2.com/research/paper/69b399ea0636e5bf4afbc8e9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69b399ea0636e5bf4afbc8e9.md>)

Recorded evaluation configuration: {"Objective":"NMF-DR"}. This record does not assert independent reproduction.

### TRACE

Dependence (X, Y'): 28.28. Result ID: 69b3c13047f34ce9249d810d.

[Reporting paper](<https://www.sota2.com/research/paper/69b399ea0636e5bf4afbc8e9.md>)

Recorded evaluation configuration: {"Objective":"TRACE"}. This record does not assert independent reproduction.

### LOGDET

Dependence (X, Y'): 27.98. Result ID: 69b3c13047f34ce9249d810c.

[Reporting paper](<https://www.sota2.com/research/paper/69b399ea0636e5bf4afbc8e9.md>)

Recorded evaluation configuration: {"Objective":"LOGDET"}. This record does not assert independent reproduction.

### HSIC

Dependence (X, Y'): 11.62. Result ID: 69b3c13047f34ce9249d8111.

[Reporting paper](<https://www.sota2.com/research/paper/69b399ea0636e5bf4afbc8e9.md>)

Recorded evaluation configuration: {"Objective":"HSIC"}. This record does not assert independent reproduction.

### KICA

Dependence (X, Y'): 9.43. Result ID: 69b3c13047f34ce9249d8110.

[Reporting paper](<https://www.sota2.com/research/paper/69b399ea0636e5bf4afbc8e9.md>)

Recorded evaluation configuration: {"Objective":"KICA"}. This record does not assert independent reproduction.

### KDE

Dependence (X, Y'): 2.5. Result ID: 69b3c13047f34ce9249d810f.

[Reporting paper](<https://www.sota2.com/research/paper/69b399ea0636e5bf4afbc8e9.md>)

Recorded evaluation configuration: {"Objective":"KDE"}. This record does not assert independent reproduction.

### MINE

Dependence (X, Y'): 1.85. Result ID: 69b3c13047f34ce9249d810e.

[Reporting paper](<https://www.sota2.com/research/paper/69b399ea0636e5bf4afbc8e9.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6a931e209131cea28fe0.md>)

Recorded evaluation configuration: {"Objective":"MINE"}. This record does not assert independent reproduction.

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