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Due to this representation of we can express the mutual information difference, given in (14), in the following manner: (15).
Mutual information difference (MID) and mutual information quotient (MIQ) are two versions of mRMR.
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Subsequently, the mutual information between the IC difference subspace and each process variable direction is defined as a new non-Gaussian contribution index for fault identification and diagnosis.
Both algorithms are based on mutual information with the main difference being the number of samples used for the similarity function (for example, the slow algorithm is supposed to be more accurate but is more time-consuming).
By using the same estimates as in [ 23] for the mutual information values, our results reveal differences due to methodological differences only, not effected by the usage of different MI estimators.
The difference in mutual information after registration of the merged volumes to the mutual information of the XFAST input volumes is computed.
As a complementary measure, for each motion correction algorithm run, the difference in mutual information (MI) between the two registered, motion corrected volumes and the original input volumes was calculated.
One example is MRNET [ 26], which applies the maximum relevance/minimum redundancy (MRMR) [ 27] principle to rank the set of transcription factors according to the difference between mutual information with the target transcript (maximum relevance) and the average mutual information with all the previously ranked transcription factors (minimum redundancy).
Step 1 (coregistration and intensity normalization) The ADC map was registered to the corresponding DWI by a rigid registration (translation and rotation) and a trilinear interpolation based on the normalized mutual information method to correct for differences due to head movements [ 18 ].
At a rate of 16 Mbit/s, the difference between achievable mutual information and simulated throughput is approximately 4 dB.
In contrast, the difference between the mutual information and the achievable mutual information is much larger, resulting in a loss of 56% at an SNR of 15 dB.
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