# Autoregressive rollout on CRP2D four-quadrant Riemann (test) Source: [Autoregressive rollout on CRP2D four-quadrant Riemann (test)]() Collection index: [llms.txt]() Data updated: 2026-02-26T05:45:18.352Z Evaluation of Autoregressive rollout performance on the test split of the CRP2D four-quadrant Riemann dataset, measured using final-time relative l2 error and Gain. 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 | Autoregressive rollout | | Dataset (including any stated split) | CRP2D four-quadrant Riemann (test) | | Metric | Final Time Relative L2 Error | | Unit | SCALAR | | Direction | Lower is better | | Results loaded | 8 of 8 | | 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 - [Final Time Relative L2 Error](): Lower is better; unit: SCALAR. - [Gain](): Higher is better; unit: PERCENT. ## Recorded results | Method | Final Time Relative L2 Error | Result date | Report paper | | --- | --- | --- | --- | | Memory-Conditioned Flow-Matching | 1.23 | Not recorded | 698969f5c97a0b3e3b5dc471 | | Memoryless Baseline | 1.26 | Not recorded | 698969f5c97a0b3e3b5dc471 | | Memory-Conditioned Flow-Matching | 1.29 | Not recorded | 698969f5c97a0b3e3b5dc471 | | Memoryless Baseline | 1.3 | Not recorded | 698969f5c97a0b3e3b5dc471 | | Memory-Conditioned Flow-Matching | 1.31 | Not recorded | 698969f5c97a0b3e3b5dc471 | | Memoryless Baseline | 1.34 | Not recorded | 698969f5c97a0b3e3b5dc471 | | Memory-Conditioned Flow-Matching | 1.52 | Not recorded | 698969f5c97a0b3e3b5dc471 | | Memoryless Baseline | 1.6 | Not recorded | 698969f5c97a0b3e3b5dc471 | ### Memory-Conditioned Flow-Matching Final Time Relative L2 Error: 1.23. Result ID: 6998e63a5698665ec44a922e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Train":"Regular","Sampling":"U0.05 (10)","Context":"Uniform delta\_t=0.05, 10 steps"}. This record does not assert independent reproduction. ### Memoryless Baseline Final Time Relative L2 Error: 1.26. Result ID: 6998e63a5698665ec44a922f. [Reporting paper]() Recorded evaluation configuration: {"Train":"Regular","Sampling":"U0.05 (10)","Context":"Uniform delta\_t=0.05, 10 steps"}. This record does not assert independent reproduction. ### Memory-Conditioned Flow-Matching Final Time Relative L2 Error: 1.29. Result ID: 6998e63a5698665ec44a9230. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Train":"Regular","Sampling":"Inc (10)","Context":"Increasing delta\_t, 10 steps"}. This record does not assert independent reproduction. ### Memoryless Baseline Final Time Relative L2 Error: 1.3. Result ID: 6998e63a5698665ec44a9231. [Reporting paper]() Recorded evaluation configuration: {"Train":"Regular","Sampling":"Inc (10)","Context":"Increasing delta\_t, 10 steps"}. This record does not assert independent reproduction. ### Memory-Conditioned Flow-Matching Final Time Relative L2 Error: 1.31. Result ID: 6998e63a5698665ec44a9234. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Train":"Regular","Sampling":"S0.10 (10)","Context":"Sparse delta\_t=0.10, 10 steps"}. This record does not assert independent reproduction. ### Memoryless Baseline Final Time Relative L2 Error: 1.34. Result ID: 6998e63a5698665ec44a9235. [Reporting paper]() Recorded evaluation configuration: {"Train":"Regular","Sampling":"S0.10 (10)","Context":"Sparse delta\_t=0.10, 10 steps"}. This record does not assert independent reproduction. ### Memory-Conditioned Flow-Matching Final Time Relative L2 Error: 1.52. Result ID: 6998e63a5698665ec44a9232. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Train":"Regular","Sampling":"D0.05 (20)","Context":"Dense delta\_t=0.05, 20 steps"}. This record does not assert independent reproduction. ### Memoryless Baseline Final Time Relative L2 Error: 1.6. Result ID: 6998e63a5698665ec44a9233. [Reporting paper]() Recorded evaluation configuration: {"Train":"Regular","Sampling":"D0.05 (20)","Context":"Dense delta\_t=0.05, 20 steps"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.