[GSoC] Create LLM Hyperparameters Optimization API Proposal #741

Job	Run time
e2e (v1.27.11, long-running-resume,from-volume-resume,median-stop)	13m 23s
e2e (v1.27.11, grid,bayesian-optimization,tpe,multivariate-tpe,cma-es,hyperband)	20m 15s
e2e (v1.27.11, file-metrics-collector,pytorchjob-mnist)	12m 13s
e2e (v1.27.11, median-stop-with-json-format,file-metrics-collector-with-json-format)	13m 16s
e2e (v1.28.7, long-running-resume,from-volume-resume,median-stop)	14m 21s
e2e (v1.28.7, grid,bayesian-optimization,tpe,multivariate-tpe,cma-es,hyperband)	20m 16s
e2e (v1.28.7, file-metrics-collector,pytorchjob-mnist)	13m 1s
e2e (v1.28.7, median-stop-with-json-format,file-metrics-collector-with-json-format)	11m 41s
e2e (v1.29.2, long-running-resume,from-volume-resume,median-stop)	16m 30s
e2e (v1.29.2, grid,bayesian-optimization,tpe,multivariate-tpe,cma-es,hyperband)	20m 43s
e2e (v1.29.2, file-metrics-collector,pytorchjob-mnist)	14m 11s
e2e (v1.29.2, median-stop-with-json-format,file-metrics-collector-with-json-format)	12m 56s
	3h 2m 46s

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