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A significant and stubbornly intractable problem in genome sequence analysis has been the de-novo identification of transcription factor binding sites in promoter regions. Probabilistic methods have faced difficulties from prior ignorance and poor models of the biological sequence. These problems result in inference in an extremely irregular, high dimensional space. We derive and demonstrate a novel method with improved convergence to the global mode utilising an iterated particle optimisation in place of the standard Gibbs sampling approach.