Comparison of |${\rm {MAE}}_{{\rm {energy}}}$| in different DHNN–BR2SAT models with different numbers of neurons. Bolded values represent the best values for the same number of neurons.
| NN . | Case I . | Case II . | Case III . |
|---|---|---|---|
| 10 | 0.0000 | 0.0000 | 0.0012 |
| 15 | 0.0216 | 0.0683 | 0.0119 |
| 20 | 2.6168 | 0.4771 | 0.3247 |
| 25 | 0.6036 | 0.6510 | 0.4685 |
| 30 | 0.7955 | 1.0925 | 0.6876 |
| 35 | 0.4334 | 1.0642 | 0.7973 |
| 40 | 1.0538 | 1.2515 | 0.8717 |
| 45 | 0.8815 | 1.4521 | 1.2029 |
| 50 | 0.8761 | 1.6077 | 1.5236 |
| Best | 0.0000 | 0.0000 | 0.0012 |
| Worst | 2.6168 | 1.6077 | 1.5236 |
| Avg. | 0.8091 | 0.8516 | 0.6544 |
| Avg rank | 1.7222 | 2.7222 | 1.5556 |
| NN . | Case I . | Case II . | Case III . |
|---|---|---|---|
| 10 | 0.0000 | 0.0000 | 0.0012 |
| 15 | 0.0216 | 0.0683 | 0.0119 |
| 20 | 2.6168 | 0.4771 | 0.3247 |
| 25 | 0.6036 | 0.6510 | 0.4685 |
| 30 | 0.7955 | 1.0925 | 0.6876 |
| 35 | 0.4334 | 1.0642 | 0.7973 |
| 40 | 1.0538 | 1.2515 | 0.8717 |
| 45 | 0.8815 | 1.4521 | 1.2029 |
| 50 | 0.8761 | 1.6077 | 1.5236 |
| Best | 0.0000 | 0.0000 | 0.0012 |
| Worst | 2.6168 | 1.6077 | 1.5236 |
| Avg. | 0.8091 | 0.8516 | 0.6544 |
| Avg rank | 1.7222 | 2.7222 | 1.5556 |
Comparison of |${\rm {MAE}}_{{\rm {energy}}}$| in different DHNN–BR2SAT models with different numbers of neurons. Bolded values represent the best values for the same number of neurons.
| NN . | Case I . | Case II . | Case III . |
|---|---|---|---|
| 10 | 0.0000 | 0.0000 | 0.0012 |
| 15 | 0.0216 | 0.0683 | 0.0119 |
| 20 | 2.6168 | 0.4771 | 0.3247 |
| 25 | 0.6036 | 0.6510 | 0.4685 |
| 30 | 0.7955 | 1.0925 | 0.6876 |
| 35 | 0.4334 | 1.0642 | 0.7973 |
| 40 | 1.0538 | 1.2515 | 0.8717 |
| 45 | 0.8815 | 1.4521 | 1.2029 |
| 50 | 0.8761 | 1.6077 | 1.5236 |
| Best | 0.0000 | 0.0000 | 0.0012 |
| Worst | 2.6168 | 1.6077 | 1.5236 |
| Avg. | 0.8091 | 0.8516 | 0.6544 |
| Avg rank | 1.7222 | 2.7222 | 1.5556 |
| NN . | Case I . | Case II . | Case III . |
|---|---|---|---|
| 10 | 0.0000 | 0.0000 | 0.0012 |
| 15 | 0.0216 | 0.0683 | 0.0119 |
| 20 | 2.6168 | 0.4771 | 0.3247 |
| 25 | 0.6036 | 0.6510 | 0.4685 |
| 30 | 0.7955 | 1.0925 | 0.6876 |
| 35 | 0.4334 | 1.0642 | 0.7973 |
| 40 | 1.0538 | 1.2515 | 0.8717 |
| 45 | 0.8815 | 1.4521 | 1.2029 |
| 50 | 0.8761 | 1.6077 | 1.5236 |
| Best | 0.0000 | 0.0000 | 0.0012 |
| Worst | 2.6168 | 1.6077 | 1.5236 |
| Avg. | 0.8091 | 0.8516 | 0.6544 |
| Avg rank | 1.7222 | 2.7222 | 1.5556 |
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