Disclosed herein are techniques for bonding LED components. According to certain embodiments, a first component including a semiconductor layer stack is hybrid bonded to a second component including a substrate that has a different thermal expansion coefficient than the semiconductor layer stack. The semiconductor layer stack includes an n-side semiconductor layer, an active light emitting layer, and a p-side semiconductor layer. The first component and the second component further include first contacts and second contacts, respectively. To hybrid bond the two components, the first contacts are aligned with the second contacts. Then dielectric bonding is performed to bond respective dielectric materials of both components. The dielectric bonding is followed by metal bonding of the contacts, using annealing. To compensate run-out between the first contacts and the second contacts, aspects of the present disclosure relate to changing a curvature of the first component and/or the second component during the annealing stage.