Ransom's friends are serving as pallbearers.
Ransom, 19, was body-boarding near Vandenberg Air Force Base on Friday when a shark, possibly a great white, bit and severed his leg.
A friend helped him to shore but Ransom died of blood loss.
A public memorial will be held at 10 a.m. Thursday at Evans-Brown Mortuary in Sun City. The memorial will be followed by a memorial swim in Oceanside at 4 p.m.
Funds are being raised to establish a scholarship in Ransom's name.