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Figure 2 | Theoretical Biology and Medical Modelling

Figure 2

From: Feature context-dependency and complexity-reduction in probability landscapes for integrative genomics

Figure 2

Defining local distance measures between probability profiles. For the validity of the methodology and an unambiguous interpretation of its results, it is essential to proceed hierarchically, and to compare distributions obtained from restricted groups of data, respectively in conditions BC1 and BC2, to the distribution obtained in the common biological condition B (pooled data). Each comparison is based on the computation of the Kullback-Leibler divergence D n ( X ) ( B C i | B ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemiraq0aa0baaSqaaiabd6gaUbqaaiabcIcaOiabdIfayjabcMcaPaaakiabcIcaOiabdkeacjabgEIizlabdoeadnaaBaaaleaacqWGPbqAaeqaaOGaeiiFaWNaemOqaiKaeiykaKcaaa@3B07@ between the distributions P n ( X | B C i ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemiuaa1aa0baaSqaaiabd6gaUbqaaiabcIcaOiabdIfayjabcYha8jabdkeacjabgEIizlabdoeadnaaBaaameaacqWGPbqAaeqaaSGaeiykaKcaaaaa@3858@ and P n ( X | B ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemiuaa1aa0baaSqaaiabd6gaUbqaaiabcIcaOiabdIfayjabcYha8jabdkeacjabcMcaPaaaaaa@3408@ . The significance of the comparison result depends on the variability of the distribution described by the functional distribution P P n ( X | B C i ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGaemiuaa1aa0baaSqaaiabdcfaqnaaBaaameaacqWGUbGBaeqaaaWcbaGaeiikaGIaemiwaGLaeiiFaWNaemOqaiKaey4jIKTaem4qam0aaSbaaWqaaiabdMgaPbqabaWccqGGPaqkaaaaaa@39B9@ .

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