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Animal groups or cellular ensembles represent fascinating examples of self-organized biological systems. In contrast to non-living physical systems, self-organized biological collectives are the result of long-term evolutionary adaptations to a specific ecological niche, where collective behavior provides evolutionary benefits to individual agents. However, collective information processing is also always subject to constraints set by the interaction mechanisms and corresponding self-organized dynamical structure. In my talk, I will discuss examples from our recent research on how the adaptive structure of the collective may interplay with its biological function in terms of collective information processing.