12 April 2004 A category theory description of multisensor fusion
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Abstract
Data fusion as a science has been described in the literature in great detail by many authors, particularly over the last two decades. These descriptions are, for the vast majority, non-mathematical in nature and have lacked the symbolism and clarity of mathematical precision. This paper demonstrates a way of describing the science of data fusion using diagrams and category theory. The description begins using category theory to develop a clear definition of what fusion is in a mathematical sense. The definitions of fusion rules and fusors show how a notion of ”betterness” can be defined by developing appropriate functionals. Using a simple diagram of a multisensor process, an explanation of how receiver operating characteristic (ROC) curves can provide an appropriate functional to compare fusion rules, fusors, and even classifiers. A partial ordering of a finite number of fusors can then be created.
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Steven N. Thorsen, Steven N. Thorsen, Mark E. Oxley, Mark E. Oxley, } "A category theory description of multisensor fusion", Proc. SPIE 5434, Multisensor, Multisource Information Fusion: Architectures, Algorithms, and Applications 2004, (12 April 2004); doi: 10.1117/12.542517; https://doi.org/10.1117/12.542517
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