# Image Classification on MNIST (train) (Likelihood, Error Rate, and Time) Source: [Image Classification on MNIST (train) (Likelihood, Error Rate, and Time)]() Collection index: [llms.txt]() Data updated: 2026-06-05T07:02:51.811Z Evaluation of Image Classification performance metrics (log likelihood, relative error) alongside training time on the training split of the MNIST dataset. 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 | Image Classification | | Dataset (including any stated split) | MNIST (train) | | Metric | Log Likelihood | | Unit | SCALAR | | Direction | Higher is better | | Results loaded | 27 of 27 | | 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 - [Log Likelihood](): Higher is better; unit: SCALAR. - [Relative Error](): Lower is better; unit: PERCENT. - [Training Time (s)](): Lower is better; unit: TIME. ## Recorded results | Method | Log Likelihood | Result date | Report paper | | --- | --- | --- | --- | | def-CG | -330.996 | Not recorded | 68fa53ea1e209131ce98722c | | Cholesky | -330.997 | Not recorded | 68fa53ea1e209131ce98722c | | CG | -330.998 | Not recorded | 68fa53ea1e209131ce98722c | | Cholesky | -331.326 | Not recorded | 68fa53ea1e209131ce98722c | | CG | -331.346 | Not recorded | 68fa53ea1e209131ce98722c | | def-CG | -331.355 | Not recorded | 68fa53ea1e209131ce98722c | | Cholesky | -335.575 | Not recorded | 68fa53ea1e209131ce98722c | | CG | -335.711 | Not recorded | 68fa53ea1e209131ce98722c | | def-CG | -335.744 | Not recorded | 68fa53ea1e209131ce98722c | | Cholesky | -353.632 | Not recorded | 68fa53ea1e209131ce98722c | | CG | -354.04 | Not recorded | 68fa53ea1e209131ce98722c | | def-CG | -354.085 | Not recorded | 68fa53ea1e209131ce98722c | | Cholesky | -407.058 | Not recorded | 68fa53ea1e209131ce98722c | | CG | -408.01 | Not recorded | 68fa53ea1e209131ce98722c | | def-CG | -408.133 | Not recorded | 68fa53ea1e209131ce98722c | | Cholesky | -549.182 | Not recorded | 68fa53ea1e209131ce98722c | | CG | -551.432 | Not recorded | 68fa53ea1e209131ce98722c | | def-CG | -551.796 | Not recorded | 68fa53ea1e209131ce98722c | | Cholesky | -919.124 | Not recorded | 68fa53ea1e209131ce98722c | | CG | -924.891 | Not recorded | 68fa53ea1e209131ce98722c | | def-CG | -926.668 | Not recorded | 68fa53ea1e209131ce98722c | | Cholesky | -1915.537 | Not recorded | 68fa53ea1e209131ce98722c | | CG | -1931.348 | Not recorded | 68fa53ea1e209131ce98722c | | def-CG | -1938.585 | Not recorded | 68fa53ea1e209131ce98722c | | Cholesky | -4926.523 | Not recorded | 68fa53ea1e209131ce98722c | | CG | -4968.76 | Not recorded | 68fa53ea1e209131ce98722c | | def-CG | -4968.76 | Not recorded | 68fa53ea1e209131ce98722c | ### def-CG Log Likelihood: -330.996. Result ID: 6a22747efbc373592c1fe19b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"9","k (deflation subspace size)":"8","l (eigenvector approximation parameter)":"12"}. This record does not assert independent reproduction. ### Cholesky Log Likelihood: -330.997. Result ID: 6a22747efbc373592c1fe189. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"9"}. This record does not assert independent reproduction. ### CG Log Likelihood: -330.998. Result ID: 6a22747efbc373592c1fe192. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"9"}. This record does not assert independent reproduction. ### Cholesky Log Likelihood: -331.326. Result ID: 6a22747efbc373592c1fe188. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"8"}. This record does not assert independent reproduction. ### CG Log Likelihood: -331.346. Result ID: 6a22747efbc373592c1fe191. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"8"}. This record does not assert independent reproduction. ### def-CG Log Likelihood: -331.355. Result ID: 6a22747efbc373592c1fe19a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"8","k (deflation subspace size)":"8","l (eigenvector approximation parameter)":"12"}. This record does not assert independent reproduction. ### Cholesky Log Likelihood: -335.575. Result ID: 6a22747efbc373592c1fe187. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"7"}. This record does not assert independent reproduction. ### CG Log Likelihood: -335.711. Result ID: 6a22747efbc373592c1fe190. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"7"}. This record does not assert independent reproduction. ### def-CG Log Likelihood: -335.744. Result ID: 6a22747efbc373592c1fe199. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"7","k (deflation subspace size)":"8","l (eigenvector approximation parameter)":"12"}. This record does not assert independent reproduction. ### Cholesky Log Likelihood: -353.632. Result ID: 6a22747efbc373592c1fe186. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"6"}. This record does not assert independent reproduction. ### CG Log Likelihood: -354.04. Result ID: 6a22747efbc373592c1fe18f. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"6"}. This record does not assert independent reproduction. ### def-CG Log Likelihood: -354.085. Result ID: 6a22747efbc373592c1fe198. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"6","k (deflation subspace size)":"8","l (eigenvector approximation parameter)":"12"}. This record does not assert independent reproduction. ### Cholesky Log Likelihood: -407.058. Result ID: 6a22747efbc373592c1fe185. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"5"}. This record does not assert independent reproduction. ### CG Log Likelihood: -408.01. Result ID: 6a22747efbc373592c1fe18e. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"5"}. This record does not assert independent reproduction. ### def-CG Log Likelihood: -408.133. Result ID: 6a22747efbc373592c1fe197. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"5","k (deflation subspace size)":"8","l (eigenvector approximation parameter)":"12"}. This record does not assert independent reproduction. ### Cholesky Log Likelihood: -549.182. Result ID: 6a22747efbc373592c1fe184. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"4"}. This record does not assert independent reproduction. ### CG Log Likelihood: -551.432. Result ID: 6a22747efbc373592c1fe18d. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"4"}. This record does not assert independent reproduction. ### def-CG Log Likelihood: -551.796. Result ID: 6a22747efbc373592c1fe196. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"4","k (deflation subspace size)":"8","l (eigenvector approximation parameter)":"12"}. This record does not assert independent reproduction. ### Cholesky Log Likelihood: -919.124. Result ID: 6a22747efbc373592c1fe183. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"3"}. This record does not assert independent reproduction. ### CG Log Likelihood: -924.891. Result ID: 6a22747efbc373592c1fe18c. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"3"}. This record does not assert independent reproduction. ### def-CG Log Likelihood: -926.668. Result ID: 6a22747efbc373592c1fe195. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"3","k (deflation subspace size)":"8","l (eigenvector approximation parameter)":"12"}. This record does not assert independent reproduction. ### Cholesky Log Likelihood: -1915.537. Result ID: 6a22747efbc373592c1fe182. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"2"}. This record does not assert independent reproduction. ### CG Log Likelihood: -1931.348. Result ID: 6a22747efbc373592c1fe18b. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"2"}. This record does not assert independent reproduction. ### def-CG Log Likelihood: -1938.585. Result ID: 6a22747efbc373592c1fe194. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"2","k (deflation subspace size)":"8","l (eigenvector approximation parameter)":"12"}. This record does not assert independent reproduction. ### Cholesky Log Likelihood: -4926.523. Result ID: 6a22747efbc373592c1fe181. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"1"}. This record does not assert independent reproduction. ### CG Log Likelihood: -4968.76. Result ID: 6a22747efbc373592c1fe18a. [Reporting paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"1"}. This record does not assert independent reproduction. ### def-CG Log Likelihood: -4968.76. Result ID: 6a22747efbc373592c1fe193. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Newton Iteration (It.)":"1","k (deflation subspace size)":"8","l (eigenvector approximation parameter)":"12"}. This record does not assert independent reproduction. 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