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Mathematical Foundations as a Key Enabler of Agile Human Performance in Visual Analytics Environments
Mathematical foundations of knowledge are intrinsic to making visual analytics environments possible; in the field of visualization each advance in perceptual and cognitive ability to more challenging and abstract problems has been enabled by advances in mathematical foundations. The new generation of visual analytics systems call for augmenting agile human perception and critical thought about complex information spaces; they will be humanistic, perceptual, and cognitive. These environments will need to express a deep level of knowledge derived from changing content but more importantly be adaptive to the shifting needs and insights of their users. It is the speaker's position that mathematically achieving this level of adaptation will be a key enabler for the next generation of visual analytics systems.