Christopher Jellen, Charles Nelson, Cody Brownell, John Burkhardt
Optical turbulence presents a significant challenge for communication, directed energy, and imaging systems, especially in the atmospheric boundary layer. Effective modeling of optical turbulence strength is critical for the development and deployment of these systems. The lack of standard evaluation tools, especially long-term data sets, modeling tasks, metrics, and baseline models, prevent effective comparisons between approaches and models. This reduces the ease of reproducing results and contributes to over-fitting on local micro-climates. Performance characterized using evaluation metrics provides some insight into the applicability of a model for predicting the strength of optical turbulence. However, these metrics are not sufficient for understanding the relative quality of a model. We introduce the \texttt{otbench} package, a Python package for rigorous development and evaluation of optical turbulence strength prediction models. The package provides a consistent interface for evaluating optical turbulence models on a variety of benchmark tasks and data sets. The \texttt{otbench} package includes a range of baseline models, including statistical, data-driven, and deep learning models, to provide a sense of relative model quality. \texttt{otbench} also provides support for adding new data sets, tasks, and evaluation metrics. The package is available at \url{https://github.com/cdjellen/otbench}.
| Task | Dataset | Metric | Value | Model |
|---|---|---|---|---|
| Time Series Forecasting | MLO-Cn2 | RMSE | 0.428 | GBRT |
| Time Series Forecasting | MLO-Cn2 | RMSE | 0.481 | Mean Window Forecast |
| Time Series Forecasting | MLO-Cn2 | RMSE | 0.551 | Minute Climatology |
| Time Series Forecasting | MLO-Cn2 | RMSE | 0.581 | RNN |
| Time Series Forecasting | MLO-Cn2 | RMSE | 0.658 | Climatology |
| Time Series Forecasting | MLO-Cn2 | RMSE | 0.93 | Linear Forecast |
| Time Series Forecasting | MLO-Cn2 | RMSE | 1.227 | Persistence |
| Time Series Forecasting | USNA-Cn2 (short-duration) | RMSE | 0.16 | GBRT |
| Time Series Forecasting | USNA-Cn2 (short-duration) | RMSE | 0.182 | Mean Window Forecast |
| Time Series Forecasting | USNA-Cn2 (short-duration) | RMSE | 0.187 | RNN |
| Time Series Forecasting | USNA-Cn2 (short-duration) | RMSE | 0.453 | Minute Climatology |
| Time Series Forecasting | USNA-Cn2 (short-duration) | RMSE | 0.821 | Persistence |
| Time Series Analysis | MLO-Cn2 | RMSE | 0.428 | GBRT |
| Time Series Analysis | MLO-Cn2 | RMSE | 0.481 | Mean Window Forecast |
| Time Series Analysis | MLO-Cn2 | RMSE | 0.551 | Minute Climatology |
| Time Series Analysis | MLO-Cn2 | RMSE | 0.581 | RNN |
| Time Series Analysis | MLO-Cn2 | RMSE | 0.658 | Climatology |
| Time Series Analysis | MLO-Cn2 | RMSE | 0.93 | Linear Forecast |
| Time Series Analysis | MLO-Cn2 | RMSE | 1.227 | Persistence |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.16 | GBRT |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.182 | Mean Window Forecast |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.187 | RNN |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.453 | Minute Climatology |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.821 | Persistence |
| Time Series Analysis | USNA-Cn2 (long-term) | RMSE | 0.458 | Hybrid Air-Water Temperature Difference |
| Time Series Analysis | USNA-Cn2 (long-term) | RMSE | 0.53 | RNN |
| Time Series Analysis | USNA-Cn2 (long-term) | RMSE | 0.625 | Minute Climatology |
| Time Series Analysis | USNA-Cn2 (long-term) | RMSE | 0.632 | Climatology |
| Time Series Analysis | USNA-Cn2 (long-term) | RMSE | 0.675 | Offshore Macro Meteorological |
| Time Series Analysis | USNA-Cn2 (long-term) | RMSE | 1.046 | Air-Water Temperature Difference |
| Time Series Analysis | USNA-Cn2 (long-term) | RMSE | 1.208 | Persistence |
| Time Series Analysis | USNA-Cn2 (long-term) | RMSE | 1.217 | Macro Meteorological |
| Time Series Analysis | USNA-Cn2 (long-term) | RMSE | 1.34 | GBRT |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.178 | Offshore Macro Meteorological |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.299 | GBRT |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.303 | Hybrid Air-Water Temperature Difference |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.358 | Linear Forecast |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.375 | RNN |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.452 | Minute Climatology |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.48 | Climatology |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.758 | Persistence |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.864 | Macro Meteorological |
| Time Series Analysis | USNA-Cn2 (short-duration) | RMSE | 0.91 | Air-Water Temperature Difference |
| Time Series Analysis | MLO-Cn2 | RMSE | 0.212 | GBRT |
| Time Series Analysis | MLO-Cn2 | RMSE | 0.336 | RNN |
| Time Series Analysis | MLO-Cn2 | RMSE | 0.504 | Minute Climatology |
| Time Series Analysis | MLO-Cn2 | RMSE | 0.661 | Climatology |
| Time Series Analysis | MLO-Cn2 | RMSE | 1.209 | Persistence |
| Time Series Regression | USNA-Cn2 (long-term) | RMSE | 0.458 | Hybrid Air-Water Temperature Difference |
| Time Series Regression | USNA-Cn2 (long-term) | RMSE | 0.53 | RNN |
| Time Series Regression | USNA-Cn2 (long-term) | RMSE | 0.625 | Minute Climatology |
| Time Series Regression | USNA-Cn2 (long-term) | RMSE | 0.632 | Climatology |
| Time Series Regression | USNA-Cn2 (long-term) | RMSE | 0.675 | Offshore Macro Meteorological |
| Time Series Regression | USNA-Cn2 (long-term) | RMSE | 1.046 | Air-Water Temperature Difference |
| Time Series Regression | USNA-Cn2 (long-term) | RMSE | 1.208 | Persistence |
| Time Series Regression | USNA-Cn2 (long-term) | RMSE | 1.217 | Macro Meteorological |
| Time Series Regression | USNA-Cn2 (long-term) | RMSE | 1.34 | GBRT |
| Time Series Regression | USNA-Cn2 (short-duration) | RMSE | 0.178 | Offshore Macro Meteorological |
| Time Series Regression | USNA-Cn2 (short-duration) | RMSE | 0.299 | GBRT |
| Time Series Regression | USNA-Cn2 (short-duration) | RMSE | 0.303 | Hybrid Air-Water Temperature Difference |
| Time Series Regression | USNA-Cn2 (short-duration) | RMSE | 0.358 | Linear Forecast |
| Time Series Regression | USNA-Cn2 (short-duration) | RMSE | 0.375 | RNN |
| Time Series Regression | USNA-Cn2 (short-duration) | RMSE | 0.452 | Minute Climatology |
| Time Series Regression | USNA-Cn2 (short-duration) | RMSE | 0.48 | Climatology |
| Time Series Regression | USNA-Cn2 (short-duration) | RMSE | 0.758 | Persistence |
| Time Series Regression | USNA-Cn2 (short-duration) | RMSE | 0.864 | Macro Meteorological |
| Time Series Regression | USNA-Cn2 (short-duration) | RMSE | 0.91 | Air-Water Temperature Difference |
| Time Series Regression | MLO-Cn2 | RMSE | 0.212 | GBRT |
| Time Series Regression | MLO-Cn2 | RMSE | 0.336 | RNN |
| Time Series Regression | MLO-Cn2 | RMSE | 0.504 | Minute Climatology |
| Time Series Regression | MLO-Cn2 | RMSE | 0.661 | Climatology |
| Time Series Regression | MLO-Cn2 | RMSE | 1.209 | Persistence |