{"schema_version":"ocme-site-results-v1","locale":"en","page_type":"derivations","facts":{"questions":36000,"reviewed":36000,"display_candidates":0,"knowledge":302,"guides":299,"paths":59,"batches":360,"families":1441,"atlas":302,"core":80,"evidence":9,"formal_evidence":5,"formal_subjects":4,"lean_files":6,"lean_toolchain":"leanprover/lean4:v4.30.0","question_state":"candidate","english_state":"ai_candidate","question_Lean":"NOT_RUN","canonical_truth_promotion":false},"filters":{"q":"mko-gradient-descent"},"kind":"guides","total":1,"pages":1,"page":1,"entries":[{"id":"derivation-mko-gradient-descent-01","title":{"zh-Hant":"正對角二次函數的安全下降步","en":"Safe descent steps for a positive diagonal quadratic"},"summary":{"zh-Hant":"以 alpha=1/4 對指定二次函數做兩步並證每步下降條件。","en":"Take two steps with alpha=1/4 for a specified quadratic and prove the per-step descent condition."},"mko_ids":["mko-gradient-descent"]}],"title":"Concept derivation guides"}