Jogging in Ochanomizu (Kanda River)

Hello, your advice on safety in the given scenario would be appreciated.

I will be relocating to Tokyo short term. I don't want to sign up for a gym, so I figured I'll jog in the city while I'm there. My office is located in Chiyoda near Tokyo Station, and the firm arranged housing in Ochanomizu, so I am thinking of jogging along the Kanda River on weekdays, and doing laps at the Imperial Palace on weekends.

Q: I was wondering how safe it'd be as a female to jog alone before sunrise when it's not yet completely light out along the Kanda River. If options for levels of safety were HIGH (totally safe), MEDIUM (it's safe but a buddy system would be recommended), LOW (not recommended), which would you say it'd be? TYIA.

(mods, if my flair is incorrect, pls let me know, thank you)

by placidtorrents