The objective comparison of complex signals in chemistry, and more particularly in forensic chemistry, with the view of inferring the source of a particular 'trace' object is an ongoing issue. The proposed method takes advantage of the dimension reduction and discriminative powers of kernels, and only requires the estimation of three parameters (once a kernel is chosen). Researchers illustrated the application of the proposed method to the inference of the source of trace objects based on very small particles (VSP) that can be found on their surfaces. VSPs are picked up in the environment(s) where the trace object has been. These VSPs can provide information about the geographic origins of the objects and help discriminate between multiple mass-manufactured objects that would be otherwise identical. This project used VSPs recovered from carpet fibers throughout the United States and applied the method to reduce the complexity of compositional data obtained by SEM/EDS and infer the source of the trace material. This method can be extended to VSPs found on other types of recovered forensic materials, such as weapons, drugs, or IEDs (improvised explosive devices), as well as to other types of chemical signals. (Publisher abstract modified)
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