The 5th overseas convention on computerized Differentiation held from August eleven to fifteen, 2008 in Bonn, Germany, is the newest one in a chain that started in Breckenridge, united states, in 1991 and endured in Santa Fe, united states, in 1996, great, France, in 2000 and Chicago, united states, in 2004. The 31 papers integrated in those complaints re?ect the state-of-the-art in automated differentiation (AD) with recognize to conception, functions, and gear improvement. total, fifty three authors from associations in nine international locations contributed, demonstrating the global recognition of advert know-how in computational technology. lately it was once proven that the matter underlying advert is certainly NP-hard, f- mally proving the inherently hard nature of this know-how. So, probably, no deterministic “silver bullet” polynomial set of rules should be devised that promises optimal functionality for common codes. during this context, the exploitation of doma- speci?c structural details is a using factor in advancing functional advert software and set of rules improvement. This pattern is prominently re?ected in lots of of the pub- cations during this quantity, not just in a greater figuring out of the interaction of advert and likely mathematical paradigms, yet particularly within the use of hierarchical advert techniques that judiciously hire basic advert strategies in application-speci?c - gorithmic harnesses. during this context, the knowledge of buildings reminiscent of sparsity of derivatives, or generalizations of this idea like shortage, performs a severe position, specifically for better spinoff computations.