# GP regression on Kernel Cookbook 1.0 (test) Source: [GP regression on Kernel Cookbook 1.0 (test)]() Collection index: [llms.txt]() Data updated: 2026-02-26T05:50:57.032Z Evaluation of Gaussian Process (GP) regression performance on the test split of the Kernel Cookbook 1.0 dataset, measured using MSE and Time (s). 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 | GP regression | | Dataset (including any stated split) | Kernel Cookbook 1.0 (test) | | Metric | MSE | | Unit | SCALAR | | Direction | Lower is better | | Results loaded | 35 of 35 | | 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 - [MSE](): Lower is better; unit: SCALAR. - [Time (s)](): Lower is better; unit: TIME. ## Recorded results | Method | MSE | Result date | Report paper | | --- | --- | --- | --- | | Oracle | 0.0000147 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Oracle | 0.0000266 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Oracle | 0.0000289 | Not recorded | 697c3b5fa8b01e76cc8da687 | | PFN | 0.0000656 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Oracle | 0.000079 | Not recorded | 697c3b5fa8b01e76cc8da687 | | PFN | 0.000225 | Not recorded | 697c3b5fa8b01e76cc8da687 | | PFN | 0.00023 | Not recorded | 697c3b5fa8b01e76cc8da687 | | PFN | 0.000246 | Not recorded | 697c3b5fa8b01e76cc8da687 | | DKL | 0.000252 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Single-Realization Decoder | 0.000573 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Single-Realization Decoder | 0.00104 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Oracle | 0.00199 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Single-Realization Decoder | 0.00252 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Single-Realization Decoder | 0.00254 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Oracle | 0.0035 | Not recorded | 697c3b5fa8b01e76cc8da687 | | RFF | 0.00433 | Not recorded | 697c3b5fa8b01e76cc8da687 | | PFN | 0.00731 | Not recorded | 697c3b5fa8b01e76cc8da687 | | PFN | 0.00871 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Oracle | 0.00912 | Not recorded | 697c3b5fa8b01e76cc8da687 | | PFN | 0.0101 | Not recorded | 697c3b5fa8b01e76cc8da687 | | DKL | 0.0176 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Single-Realization Decoder | 0.018 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Single-Realization Decoder | 0.0211 | Not recorded | 697c3b5fa8b01e76cc8da687 | | DKL | 0.027 | Not recorded | 697c3b5fa8b01e76cc8da687 | | Single-Realization Decoder | 0.0278 | Not recorded | 697c3b5fa8b01e76cc8da687 | | DKL | 0.0279 | Not recorded | 697c3b5fa8b01e76cc8da687 | | DKL | 0.0287 | Not recorded | 697c3b5fa8b01e76cc8da687 | | RFF | 0.0378 | Not recorded | 697c3b5fa8b01e76cc8da687 | | DKL | 0.038 | Not recorded | 697c3b5fa8b01e76cc8da687 | | RFF | 0.0458 | Not recorded | 697c3b5fa8b01e76cc8da687 | | DKL | 0.0505 | Not recorded | 697c3b5fa8b01e76cc8da687 | | RFF | 0.0551 | Not recorded | 697c3b5fa8b01e76cc8da687 | | RFF | 0.0572 | Not recorded | 697c3b5fa8b01e76cc8da687 | | RFF | 0.0651 | Not recorded | 697c3b5fa8b01e76cc8da687 | | RFF | 0.0976 | Not recorded | 697c3b5fa8b01e76cc8da687 | ### Oracle MSE: 0.0000147. Result ID: 6998f9095698665ec45e2c9a. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 4)","Context points":100}. This record does not assert independent reproduction. ### Oracle MSE: 0.0000266. Result ID: 6998f9095698665ec45e2c95. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 2)","Context points":100}. This record does not assert independent reproduction. ### Oracle MSE: 0.0000289. Result ID: 6998f9095698665ec45e2c7c. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"RBF","Context points":100}. This record does not assert independent reproduction. ### PFN MSE: 0.0000656. Result ID: 6998f9095698665ec45e2c7e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"RBF","Context points":100}. This record does not assert independent reproduction. ### Oracle MSE: 0.000079. Result ID: 6998f9095698665ec45e2c90. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 1)","Context points":100}. This record does not assert independent reproduction. ### PFN MSE: 0.000225. Result ID: 6998f9095698665ec45e2c92. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 1)","Context points":100}. This record does not assert independent reproduction. ### PFN MSE: 0.00023. Result ID: 6998f9095698665ec45e2c97. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 2)","Context points":100}. This record does not assert independent reproduction. ### PFN MSE: 0.000246. Result ID: 6998f9095698665ec45e2c9c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 4)","Context points":100}. This record does not assert independent reproduction. ### DKL MSE: 0.000252. Result ID: 6998f9095698665ec45e2c7f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"RBF","Context points":100}. This record does not assert independent reproduction. ### Single-Realization Decoder MSE: 0.000573. Result ID: 6998f9095698665ec45e2c96. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 2)","Context points":100}. This record does not assert independent reproduction. ### Single-Realization Decoder MSE: 0.00104. Result ID: 6998f9095698665ec45e2c91. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 1)","Context points":100}. This record does not assert independent reproduction. ### Oracle MSE: 0.00199. Result ID: 6998f9095698665ec45e2c81. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"Periodic","Context points":100}. This record does not assert independent reproduction. ### Single-Realization Decoder MSE: 0.00252. Result ID: 6998f9095698665ec45e2c7d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"RBF","Context points":100}. This record does not assert independent reproduction. ### Single-Realization Decoder MSE: 0.00254. Result ID: 6998f9095698665ec45e2c9b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 4)","Context points":100}. This record does not assert independent reproduction. ### Oracle MSE: 0.0035. Result ID: 6998f9095698665ec45e2c8b. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"RBF × Periodic","Context points":100}. This record does not assert independent reproduction. ### RFF MSE: 0.00433. Result ID: 6998f9095698665ec45e2c80. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"RBF","Context points":100}. This record does not assert independent reproduction. ### PFN MSE: 0.00731. Result ID: 6998f9095698665ec45e2c88. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"RBF + Periodic","Context points":100}. This record does not assert independent reproduction. ### PFN MSE: 0.00871. Result ID: 6998f9095698665ec45e2c8d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"RBF × Periodic","Context points":100}. This record does not assert independent reproduction. ### Oracle MSE: 0.00912. Result ID: 6998f9095698665ec45e2c86. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"RBF + Periodic","Context points":100}. This record does not assert independent reproduction. ### PFN MSE: 0.0101. Result ID: 6998f9095698665ec45e2c83. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"Periodic","Context points":100}. This record does not assert independent reproduction. ### DKL MSE: 0.0176. Result ID: 6998f9095698665ec45e2c89. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"RBF + Periodic","Context points":100}. This record does not assert independent reproduction. ### Single-Realization Decoder MSE: 0.018. Result ID: 6998f9095698665ec45e2c87. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"RBF + Periodic","Context points":100}. This record does not assert independent reproduction. ### Single-Realization Decoder MSE: 0.0211. Result ID: 6998f9095698665ec45e2c8c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"RBF × Periodic","Context points":100}. This record does not assert independent reproduction. ### DKL MSE: 0.027. Result ID: 6998f9095698665ec45e2c9d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 4)","Context points":100}. This record does not assert independent reproduction. ### Single-Realization Decoder MSE: 0.0278. Result ID: 6998f9095698665ec45e2c82. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"Periodic","Context points":100}. This record does not assert independent reproduction. ### DKL MSE: 0.0279. Result ID: 6998f9095698665ec45e2c8e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"RBF × Periodic","Context points":100}. This record does not assert independent reproduction. ### DKL MSE: 0.0287. Result ID: 6998f9095698665ec45e2c98. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 2)","Context points":100}. This record does not assert independent reproduction. ### RFF MSE: 0.0378. Result ID: 6998f9095698665ec45e2c8a. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"RBF + Periodic","Context points":100}. This record does not assert independent reproduction. ### DKL MSE: 0.038. Result ID: 6998f9095698665ec45e2c84. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"Periodic","Context points":100}. This record does not assert independent reproduction. ### RFF MSE: 0.0458. Result ID: 6998f9095698665ec45e2c8f. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"RBF × Periodic","Context points":100}. This record does not assert independent reproduction. ### DKL MSE: 0.0505. Result ID: 6998f9095698665ec45e2c93. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 1)","Context points":100}. This record does not assert independent reproduction. ### RFF MSE: 0.0551. Result ID: 6998f9095698665ec45e2c85. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"Periodic","Context points":100}. This record does not assert independent reproduction. ### RFF MSE: 0.0572. Result ID: 6998f9095698665ec45e2c9e. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 4)","Context points":100}. This record does not assert independent reproduction. ### RFF MSE: 0.0651. Result ID: 6998f9095698665ec45e2c99. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 2)","Context points":100}. This record does not assert independent reproduction. ### RFF MSE: 0.0976. Result ID: 6998f9095698665ec45e2c94. [Reporting paper]() Recorded evaluation configuration: {"True Kernel":"SM (Q = 1)","Context points":100}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.