# Estimation Accuracy on Heavy-tailed noise (t-distribution, df=3)

Source: [Estimation Accuracy on Heavy-tailed noise (t-distribution, df=3)](<https://www.sota2.com/research/sota/estimation-accuracy-on-heavy-tailed-noise-t-distribution-df-3>)

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

Data updated: 2026-06-29T06:49:24.707Z

Evaluation of estimation accuracy, measured via L2/L-infinity/L-Sigma norms of the parameter error, MCC, and Symmetric Difference, for models trained on data generated from a heavy-tailed Student's t-distribution with 3 degrees of freedom (df=3).

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 | Estimation Accuracy |
| Dataset (including any stated split) | Heavy-tailed noise (t-distribution, df=3) |
| Metric | L2 Error Norm |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 4 of 4 |
| 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

- [L2 Error Norm](<https://www.sota2.com/research/sota/estimation-accuracy-on-heavy-tailed-noise-t-distribution-df-3.md?metric=L2%20Error%20Norm>): Lower is better; unit: SCALAR.

- [L-infinity Error Norm](<https://www.sota2.com/research/sota/estimation-accuracy-on-heavy-tailed-noise-t-distribution-df-3.md?metric=L-infinity%20Error%20Norm>): Lower is better; unit: SCALAR.

- [L-Sigma Error Norm](<https://www.sota2.com/research/sota/estimation-accuracy-on-heavy-tailed-noise-t-distribution-df-3.md?metric=L-Sigma%20Error%20Norm>): Lower is better; unit: SCALAR.

- [MCC](<https://www.sota2.com/research/sota/estimation-accuracy-on-heavy-tailed-noise-t-distribution-df-3.md?metric=MCC>): Higher is better; unit: SCALAR.

- [Symmetric Difference](<https://www.sota2.com/research/sota/estimation-accuracy-on-heavy-tailed-noise-t-distribution-df-3.md?metric=Symmetric%20Difference>): Lower is better; unit: SCALAR.

## Recorded results

| Method | L2 Error Norm | Result date | Report paper |
| --- | --- | --- | --- |
| Oracle Huber | 0.252 | Not recorded | 6a41fc22206542251d7ccbd2 |
| AC-IHT | 0.435 | Not recorded | 6a41fc22206542251d7ccbd2 |
| Ada-Huber | 0.598 | Not recorded | 6a41fc22206542251d7ccbd2 |
| IHT-ℓ1 | 0.624 | Not recorded | 6a41fc22206542251d7ccbd2 |

### Oracle Huber

L2 Error Norm: 0.252. Result ID: 6a42156dfbc373592c86b473.

[Reporting paper](<https://www.sota2.com/research/paper/6a41fc22206542251d7ccbd2.md>)

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

### AC-IHT

L2 Error Norm: 0.435. Result ID: 6a42156dfbc373592c86b470.

[Reporting paper](<https://www.sota2.com/research/paper/6a41fc22206542251d7ccbd2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a41fc22206542251d7ccbd2.md>)

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

### Ada-Huber

L2 Error Norm: 0.598. Result ID: 6a42156dfbc373592c86b472.

[Reporting paper](<https://www.sota2.com/research/paper/6a41fc22206542251d7ccbd2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa55441e209131ce992888.md>)

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

### IHT-ℓ1

L2 Error Norm: 0.624. Result ID: 6a42156dfbc373592c86b471.

[Reporting paper](<https://www.sota2.com/research/paper/6a41fc22206542251d7ccbd2.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5a591e209131ce9bf0a1.md>)

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

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