Both consist of four different stories with different characters that arent actually connected but all have one thing in common (in Persona the main characters are all portrayed by IU and in The Table all the stories happen at the same cafe/same table). Also the person who directed and screenwrote The Table also directed and screenwrote one of the stories in Persona.
The last segment of persona (walking at night) and made up story share not only the same director but a few other things as well. Theyre short films basically shot in black and white and centering around a dialogue, not much else happens apart from the two characters having a meaningful, philosophical conversation. Theyre calm in tone and slow. The theme in both is grief, death of a lover which is being explored through dreams or at least not reality.