# Causal Representation Learning on Synthetic Numerical Experiments

Source: [Causal Representation Learning on Synthetic Numerical Experiments](<https://www.sota2.com/research/sota/causal-representation-learning-on-synthetic-numerical-experiments>)

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

Data updated: 2026-04-16T06:43:01.788Z

Evaluation of models on the Synthetic Numerical Experiments dataset focusing on Causal Representation Learning, measured using metrics like R^2 and MCC variants.

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 | Causal Representation Learning |
| Dataset (including any stated split) | Synthetic Numerical Experiments |
| Metric | R^2 Stage 1 |
| Unit | SCALAR |
| Direction | Higher is better |
| Results loaded | 34 of 34 |
| 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

- [R^2 Stage 1](<https://www.sota2.com/research/sota/causal-representation-learning-on-synthetic-numerical-experiments.md?metric=R%5E2%20Stage%201>): Higher is better; unit: SCALAR.

- [MCC Stage 1](<https://www.sota2.com/research/sota/causal-representation-learning-on-synthetic-numerical-experiments.md?metric=MCC%20Stage%201>): Higher is better; unit: SCALAR.

- [MCC Stage 2](<https://www.sota2.com/research/sota/causal-representation-learning-on-synthetic-numerical-experiments.md?metric=MCC%20Stage%202>): Higher is better; unit: SCALAR.

- [MCC VaDE](<https://www.sota2.com/research/sota/causal-representation-learning-on-synthetic-numerical-experiments.md?metric=MCC%20VaDE>): Higher is better; unit: SCALAR.

## Recorded results

| Method | R^2 Stage 1 | Result date | Report paper |
| --- | --- | --- | --- |
| two-stage method | 0.99 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.96 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.96 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.95 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.95 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.94 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.94 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.94 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.93 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.93 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.93 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.93 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.93 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.93 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.92 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.88 | Not recorded | 69e06ced7d0172140ec7c909 |
| two-stage method | 0.75 | Not recorded | 69e06ced7d0172140ec7c909 |

### two-stage method

R^2 Stage 1: 0.99. Result ID: 69e084b047f34ce924c9299f.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"1","m":"3","rho":"50%","delta":"0","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.96. Result ID: 69e084b047f34ce924c929a9.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"1","m":"10","rho":"50%","delta":"2","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.96. Result ID: 69e084b047f34ce924c929ab.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"1","m":"10","rho":"50%","delta":"3","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.95. Result ID: 69e084b047f34ce924c929a5.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"1","m":"10","rho":"75%","delta":"0","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.95. Result ID: 69e084b047f34ce924c929a7.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"1","m":"10","rho":"50%","delta":"1","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.94. Result ID: 69e084b047f34ce924c92993.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"1","m":"10","rho":"50%","delta":"0","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.94. Result ID: 69e084b047f34ce924c92997.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"40","k":"1","m":"10","rho":"50%","delta":"0","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.94. Result ID: 69e084b047f34ce924c92999.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"0","m":"10","rho":"50%","delta":"0","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.93. Result ID: 69e084b047f34ce924c92991.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"5","k":"1","m":"10","rho":"50%","delta":"0","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.93. Result ID: 69e084b047f34ce924c92995.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"20","k":"1","m":"10","rho":"50%","delta":"0","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.93. Result ID: 69e084b047f34ce924c9299b.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"2","m":"10","rho":"50%","delta":"0","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.93. Result ID: 69e084b047f34ce924c929ad.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"1","m":"10","rho":"50%","delta":"0","theta":"15"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.93. Result ID: 69e084b047f34ce924c929af.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"1","m":"10","rho":"50%","delta":"0","theta":"30"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.93. Result ID: 69e084b047f34ce924c929b1.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"1","m":"10","rho":"50%","delta":"0","theta":"45"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.92. Result ID: 69e084b047f34ce924c9299d.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"3","m":"10","rho":"50%","delta":"0","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.88. Result ID: 69e084b047f34ce924c929a1.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"1","m":"20","rho":"50%","delta":"0","theta":"0"}. This record does not assert independent reproduction.

### two-stage method

R^2 Stage 1: 0.75. Result ID: 69e084b047f34ce924c929a3.

[Reporting paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

[Method origin paper](<https://www.sota2.com/research/paper/69e06ced7d0172140ec7c909.md>)

Recorded evaluation configuration: {"n":"10","k":"1","m":"10","rho":"1 var","delta":"0","theta":"0"}. This record does not assert independent reproduction.

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