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13th International Conference on Membrane Computing - MTA Sztaki

13th International Conference on Membrane Computing - MTA Sztaki

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T. Ahmed, G. DeLancy, A. Paun<br />

generated ux functi<strong>on</strong>s [14], [19] did not match the ux functi<strong>on</strong>s we assumed<br />

to create time series data. Using these ux functi<strong>on</strong>s, we <strong>on</strong>ce again preformed<br />

some calculati<strong>on</strong>s to determine the time series that these new ux functi<strong>on</strong>s<br />

would yield. The results are presented below, adjacent to the most relevant data<br />

for comparis<strong>on</strong>.<br />

4 Results<br />

The following is the presentati<strong>on</strong> of all of the collected results found from applying<br />

the noisy time series data to log-gain theory as well as a plot of the input<br />

time series. Further explanati<strong>on</strong> of the results follows.<br />

Original Functi<strong>on</strong>s Flux Functi<strong>on</strong>s when SNR = 40<br />

F 0: 0.000002 * A * B * C 4.7101601756476607E-5 + 2.0906741100180677E-6*A*B*C<br />

F 1: 0.00003 * B * C 4.707260180458471E-5 + 3.916897719405373E-5*B*C<br />

F 2: 0.00004 * C * A 6.529552047980467E-8 + 3.91283249939265E-5*C*A<br />

F 3: 0.0005 * B<br />

-1.9008239899554152E-16 + 5.003627980539913E-4*B<br />

F 4:0.007*C<br />

5.464010360230928E-20 + 0.007009755476696823*C<br />

Table 3. SNR 40 Results<br />

Table 4. Error Calculati<strong>on</strong> for an SNR of 40<br />

A B C Average<br />

0.001285799 2.506682785 38281867303 12760622435<br />

Original Functi<strong>on</strong>s Flux Functi<strong>on</strong>s when SNR = 25<br />

F 0: 0.000002 * A * B * C 0.0012924171688043727 - 1.7117772599596225E-4*A*B*C<br />

F 1: 0.00003 * B * C 0.0012915808119774998 - 0.01727859628397463*B*C<br />

F 2: 0.00004 * C * A 2.1630602392569758E-6 + 7.127342518039588E-6*C*A<br />

F 3: 0.0005 * B<br />

4.0050113261237274E-17 + 5.035262243607753E-4*B<br />

F 4:0.007*C<br />

4.7763864261255335E-21 + 0.0069226436112306364*C<br />

Table 5. SNR 25 Results<br />

As seen above, we calculated percentage of error in all substances and found<br />

the average error. The error shown here between the log-gain generated dynamics<br />

76

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