How to recover auto committed transaction in Oracle with normal privilage
You cannot recover the committed transaction with a normal privilege.
However, you may be able to 
ask your DBA to flashback(If the database is set up with flashback enabled for tables and UNDO_RETENTION has set approximately)the table to a specific point in time, or,assumin they are using hot backups, Database Point-In Time Recovery(This option will also rollback changes made by others on the database) could be an alternative for flashback.

For details:Rewinding a Table with Flashback Table