Review Article Volume 4 Issue 6
Electrical Engineering Department, University of Bridgeport, USA
Correspondence: Manu Mitra, Electrical Engineering Department, University of Bridgeport , 126 Park Avenue, Bridgeport, CT – 06604, USA
Received: January 02, 2018 | Published: December 12, 2018
Citation: Mitra M. Analysis of biological neuron and training of an artificial neuron for a neural processor construct. Int Rob Auto J. 2018;4(6):407-417. DOI: 10.15406/iratj.2018.04.00157
The basic idea behind a neural processor is to simulate lots of densely interconnected artificial neuron inside a computer so you can get it to learn things, recognize patterns, and make decisions in a humanlike way. The best thing about a neuron processor is that you don't have to program it to learn explicitly: it learns all by itself, just like a brain. In this paper analysis of biological neurons are made to make a successful artificial neural processor that can be used in robots for analyzing the problem in detail by itself. Automatic training of neuron network is also been performed including data analysis with an example.
Keywords: neuron, neural processor, neural network, data analysis, specific structures
The brain is an assembly of interconnected neurons. Neurons attain in a range of shapes and sizes, contingent on their capacity and specific structures. Nevertheless, in common, all neurons work in the comparative way and take after each other. Likewise, neurons of animals look similar like the neurons of people. The normal number of neurons in human cerebrum is around 100 billion. Regardless of whether human is the most brilliant animal on the planet, some fascinating insights about neurons in people and different creatures, demonstrated that there are creatures that may have a more noteworthy measure of neurons than the human. A fascinating certainty about octopus is that normal number of neurons in an octopus brain is around 300billion.
Every neuron is a cell that utilizes biochemical responses to get process and transmit data. A neuron's dendrite tree is associated with a thousand neighboring neurons. When one of those neurons fires, a positive or negative charge is caught by one of the dendrites. The qualities of all the caught charges are included through the procedures of spatial and worldly summation. Spatial summation happens when a few powerless signs are changed over into a solitary expansive one, while fleeting summation changes over a quick arrangement of feeble heartbeats from one source into one huge flag. The total info is then passed to the soma (cell body). The soma and the encased core don’t assume a critical part in the preparing of approaching and active information. Their essential capacity is to play out the consistent support required to keep the neuron practical. The piece of the soma that concerns itself with the flag is the axon hillock.
Electrical driving forces from the bot enter the bunch of neurons, and reactions from the cells are transformed into charges for the device. Cells can shape new associations, making the framework a learning machine. For the most part neuron control causes the robot to keep away from dividers. However that snag shirking frequently indicates clear change after some time, exhibiting how systems of neurons can allow basic assuming out how to the machines (Figure 1 & 2).1,2
Figure 1 Depicts multiple biological natural neuron connected to each other.3
Figure 2 Depicts artificial neuron (Neural Network) connected to each other with hidden layers that cannot be seen explicitly in biological neuron.4
Below are the graphs were taken for analyzing a biological neuron.3,4 Permission was granted by Prof. Eric Newman to use graphs in this paper generated by Meta Neuron.5
Membrane potential characteristics (Figure 3)
Sodium
Concentration out (mM)=120
Concentration in (mM)=16.4859
Na+ equilib potential (mV)=50.00
Potassium
Concentration out (mM)=Range
Concentration in (mM)=63.7834
K+ equilib potential (mV)=11.58
Relative Membrane Permeability
Na+ permeability=1
K+ permeability=65
Membrane Potential
Potential (mV)=11.93
Membrane time constant characteristics (Figure 4)
Membrane resistance
KΩ cm2=10
Stimulus
Delay (ms)=2
Width (ms)=1
Amplitude (µA)=10
Period (ms)=3
Number of stimuli=Range
Sweep duration (ms)=40
Range value 1 to 5
Membrane length constant characteristics (Figure 5)
Dendrite/Axon Properties
Membrane Resistance (kΩ-cm2)=5
Internal Resistivity (Ω-cm)=Range
Diameter (µm)=0.1
Membrane capacitance=1µF/cm2
Stimulus
Synaptic Potential
Delay (ms)=1
Width (ms)=50
Amplitude (µA)=100
Potential vs Distance
Enabled
Time (ms)=50
Axon action potential characteristics (Figure 6)
Membrane parameters
Na+ equilib potential (mV)=50
gNa max (mS/cm2)=260
K+ equilib potential (mV)=-77
gK max (mS/cm2)=70
Membrane leakage
Reversal potential (mV)=-55
gLeak (mS/cm2)=0.6
Conductance and Currents
Ionic currents
Holding Current
Holding (µA)=Range
Stimulus
Delay (ms)=0.5
Width (ms)=0.1
Amplitude (µA)=65
Temperature 18 degree Centigrade
Range value -5 to 15
Sweep duration (ms)=5
Axon action potential characteristics (Figure 7)
Membrane Parameters
Na+ equilib potential (mV)=50
gNa max (mS/cm2)=260
K+ equilib potential (mV)=-77
gK max (mS/cm2)=70
Membrane Leakage
Reversal potential (mV)=-55
gLeak (mS/cm2)=0.6
Holding potential
Holding (mV)=Range
Stimulus
Delay (ms)=1
Width (ms)=4
Amplitude (µA)=-5
Temperature 18 degree Centigrade
Range value -75 to -30
Sweep duration (ms)=8
Synaptic potential and current characteristics (Figure 8)
Ion permeability
Na+ permeability=1.2
K+ permeability=1
Synapse type
Fast excitatory synapse
Holding Current
Holding (µA)=Range
Observations of biological neuron graphs
As per the above graphs when designing a neuron processor these specifications are to be considered such Resting Membrane Potential, Membrane Time Constant, Membrane length Constant, Axon action potential, Axon voltage clamp, synaptic potential and current. All the graphs were plotted based on voltage and/or current and assigning range of currents (µA) and voltage (mV). Hence it’s vital for any neural processor what amount of voltage and current is being delivered to get desired output.6
Training (Table 1&2) of an artificial neuron network (Part-I) (Figure 9–12)
Stamens |
Type |
Genus |
Flowers |
Actual |
12 |
Succulent |
Pelargonium |
Irregular |
Regular |
5 |
Succulent |
Erodium |
Regular |
Regular |
5 |
Succulent |
Erodium |
Regular |
Regular |
12 |
Herbaceous |
Monsonia |
Regular |
Regular |
5 |
Succulent |
Erodium |
Regular |
Regular |
15 |
Herbaceous |
Monsonia |
Regular |
Regular |
10 |
Herbaceous |
Geranium |
Regular |
Regular |
12 |
Herbaceous |
Monsonia |
Regular |
Regular |
12 |
Succulent |
Sarcocaulon |
Regular |
Regular |
10 |
Herbaceous |
Geranium |
Regular |
Regular |
15 |
Succulent |
Pelargonium |
Irregular |
Regular |
10 |
Succulent |
Pelargonium |
Irregular |
Regular |
5 |
Succulent |
Pelargonium |
Irregular |
Regular |
10 |
Succulent |
Geranium |
Regular |
Regular |
15 |
Succulent |
Sarcocaulon |
Regular |
Regular |
12 |
Herbaceous |
Monsonia |
Regular |
Regular |
10 |
Succulent |
Pelargonium |
Irregular |
Regular |
5 |
Herbaceous |
Pelargonium |
Irregular |
Regular |
12 |
Herbaceous |
Monsonia |
Regular |
Regular |
15 |
Herbaceous |
Monsonia |
Regular |
Regular |
5 |
Succulent |
Erodium |
Regular |
Regular |
15 |
Succulent |
Sarcocaulon |
Regular |
Regular |
15 |
Herbaceous |
Monsonia |
Regular |
Regular |
5 |
Herbaceous |
Pelargonium |
Irregular |
Regular |
12 |
Succulent |
Sarcocaulon |
Regular |
Regular |
5 |
Herbaceous |
Erodium |
Regular |
Regular |
5 |
Herbaceous |
Erodium |
Regular |
Regular |
10 |
Herbaceous |
Geranium |
Regular |
Regular |
10 |
Succulent |
Geranium |
Regular |
Regular |
12 |
Herbaceous |
Monsonia |
Regular |
Regular |
12 |
Succulent |
Pelargonium |
Irregular |
Regular |
10 |
Herbaceous |
Geranium |
Regular |
Regular |
10 |
Herbaceous |
Pelargonium |
Irregular |
Regular |
12 |
Succulent |
Sarcocaulon |
Regular |
Regular |
12 |
Succulent |
Sarcocaulon |
Regular |
Regular |
15 |
Herbaceous |
Monsonia |
Regular |
Regular |
5 |
Succulent |
Erodium |
Regular |
Regular |
5 |
Succulent |
Erodium |
Regular |
Regular |
10 |
Succulent |
Geranium |
Regular |
Regular |
12 |
Succulent |
Sarcocaulon |
Regular |
Regular |
15 |
Herbaceous |
Monsonia |
Regular |
Regular |
10 |
Herbaceous |
Geranium |
Regular |
Regular |
5 |
Succulent |
Erodium |
Regular |
Regular |
10 |
Herbaceous |
Pelargonium |
Irregular |
Regular |
5 |
Herbaceous |
Erodium |
Regular |
Regular |
10 |
Succulent |
Geranium |
Regular |
Regular |
12 |
Herbaceous |
Monsonia |
Regular |
Regular |
10 |
Herbaceous |
Geranium |
Regular |
Regular |
15 |
Herbaceous |
Monsonia |
Regular |
Regular |
5 |
Herbaceous |
Pelargonium |
Irregular |
Regular |
12 |
Herbaceous |
Monsonia |
Regular |
Regular |
10 |
Succulent |
Pelargonium |
Irregular |
Regular |
10 |
Succulent |
Geranium |
Regular |
Regular |
15 |
Succulent |
Sarcocaulon |
Regular |
Regular |
12 |
Succulent |
Sarcocaulon |
Regular |
Regular |
15 |
Succulent |
Sarcocaulon |
Regular |
Regular |
10 |
Succulent |
Geranium |
Regular |
Regular |
5 |
Succulent |
Erodium |
Regular |
Regular |
15 |
Herbaceous |
Monsonia |
Regular |
Regular |
5 |
Herbaceous |
Pelargonium |
Irregular |
Regular |
5 |
Succulent |
Erodium |
Regular |
Regular |
10 |
Succulent |
Geranium |
Regular |
Regular |
15 |
Herbaceous |
Monsonia |
Regular |
Regular |
15 |
Succulent |
Sarcocaulon |
Regular |
Regular |
15 |
Succulent |
Sarcocaulon |
Regular |
Regular |
15 |
Herbaceous |
Monsonia |
Regular |
Regular |
10 |
Succulent |
Geranium |
Regular |
Regular |
5 |
Herbaceous |
Erodium |
Regular |
Regular |
5 |
Herbaceous |
Erodium |
Regular |
Regular |
5 |
Herbaceous |
Erodium |
Regular |
Regular |
5 |
Herbaceous |
Erodium |
Regular |
Regular |
12 |
Herbaceous |
Monsonia |
Regular |
Regular |
12 |
Herbaceous |
Pelargonium |
Irregular |
Regular |
15 |
Succulent |
Sarcocaulon |
Regular |
Regular |
10 |
Herbaceous |
Geranium |
Regular |
Regular |
12 |
Herbaceous |
Monsonia |
Regular |
Regular |
10 |
Herbaceous |
Geranium |
Regular |
Regular |
10 |
Herbaceous |
Geranium |
Regular |
Regular |
5 |
Herbaceous |
Pelargonium |
Irregular |
Regular |
15 |
Herbaceous |
Monsonia |
Regular |
Regular |
Table 1 Training results
Stamens |
Type |
Genus |
Flowers |
Actual |
12 |
Succulent |
Sarcocaulon |
Regular |
Regular |
10 |
Herbaceous |
Pelargonium |
Irregular |
Regular |
5 |
Succulent |
Erodium |
Regular |
Regular |
10 |
Succulent |
Geranium |
Regular |
Regular |
5 |
Herbaceous |
Erodium |
Regular |
Regular |
5 |
Herbaceous |
Pelargonium |
Irregular |
Regular |
15 |
Succulent |
Sarcocaulon |
Regular |
Regular |
5 |
Succulent |
Erodium |
Regular |
Regular |
5 |
Succulent |
Erodium |
Regular |
Regular |
12 |
Herbaceous |
Monsonia |
Regular |
Regular |
Table 2 Validation results
An experiment was performed for training of neurons.
Training of an artificial neuron network (Part-II) (Figure 13 &14)
Data Analysis was performed on Neural Networks (Table 3) to distinguish between various species of geranium flowers Figure 15 This example demonstrates the use of both input categories (Regular/Irregular, Herbaceous/Succulent) and output categories (the five geranium types) (Figure16). 7
Stamens |
Type |
Genus |
Flowers |
Actual |
12 |
Succulent |
Sarcocaulon |
Regular |
Regular |
15 |
Succulent |
Sarcocaulon |
Regular |
Regular |
5 |
Succulent |
Pelargonium |
Irregular |
Regular |
12 |
Succulent |
Pelargonium |
Irregular |
Regular |
10 |
Succulent |
Geranium |
Regular |
Regular |
10 |
Herbaceous |
Geranium |
Regular |
Regular |
12 |
Succulent |
Sarcocaulon |
Regular |
Regular |
5 |
Herbaceous |
Pelargonium |
Irregular |
Regular |
15 |
Succulent |
Sarcocaulon |
Regular |
Regular |
12 |
Succulent |
Sarcocaulon |
Regular |
Regular |
Table 3 Testing results
Experimental data feed was performed to Neural Network and output data from a neuron was documented below (Table 4).
Species |
Frontal lip |
Rear width |
Length |
Width |
Depth |
Output I |
Output II |
0 |
20.6 |
14.4 |
42.8 |
46.5 |
19.6 |
0.186163 |
0.702353 |
1 |
13.3 |
11.1 |
27.8 |
32.3 |
11.3 |
0.149162 |
0.297652 |
0 |
16.7 |
14.3 |
32.3 |
37 |
14.7 |
0.212918 |
0.460247 |
1 |
9.8 |
8.9 |
20.4 |
23.9 |
8.8 |
0.261739 |
0.020763 |
0 |
15.6 |
14.1 |
31 |
34.5 |
13.8 |
0.202338 |
0.417115 |
1 |
9.1 |
8.1 |
18.5 |
21.6 |
7.7 |
0.294646 |
-0.03946 |
0 |
14.1 |
10.5 |
29.1 |
31.6 |
13.1 |
0.103071 |
0.448395 |
1 |
11.1 |
9.9 |
23.8 |
27.1 |
9.8 |
0.206808 |
0.129986 |
1 |
12.8 |
12.2 |
27.9 |
31.9 |
11.5 |
0.189142 |
0.212812 |
0 |
19.9 |
16.6 |
39.4 |
43.9 |
17.9 |
0.217477 |
0.493278 |
0 |
17.5 |
14.7 |
33.3 |
37.6 |
14.6 |
0.217591 |
0.466217 |
0 |
20.1 |
17.2 |
39.8 |
44.1 |
18.6 |
0.220435 |
0.482547 |
0 |
19.9 |
17.9 |
40.1 |
46.4 |
17.9 |
0.221478 |
0.474355 |
1 |
21.3 |
15.7 |
47.1 |
54.6 |
20 |
0.188331 |
0.708349 |
1 |
16.4 |
13 |
35.7 |
41.8 |
15.2 |
0.176033 |
0.648427 |
0 |
19.7 |
16.7 |
39.9 |
43.6 |
18.2 |
0.216633 |
0.496111 |
1 |
12.8 |
12.2 |
26.7 |
31.1 |
11.1 |
0.19994 |
0.166002 |
0 |
14 |
11.5 |
29.2 |
32.2 |
13.1 |
0.119184 |
0.398798 |
0 |
17.4 |
12.8 |
36.1 |
39.5 |
16.2 |
0.174151 |
0.660337 |
0 |
10.2 |
8.2 |
20.2 |
22.2 |
9 |
0.134428 |
0.290267 |
1 |
15.7 |
12.6 |
35.8 |
40.3 |
14.5 |
0.174377 |
0.640898 |
1 |
15 |
14.2 |
32.8 |
37.4 |
14 |
0.218203 |
0.442141 |
0 |
18.8 |
13.8 |
39.2 |
43.3 |
17.9 |
0.180507 |
0.683173 |
0 |
17.6 |
14 |
34 |
38.6 |
15.5 |
0.203173 |
0.516958 |
0 |
15.4 |
11.1 |
30.2 |
33.6 |
13.5 |
0.120094 |
0.485032 |
1 |
11.2 |
10 |
22.8 |
26.9 |
9.4 |
0.229009 |
0.07157 |
0 |
18 |
14.9 |
34.7 |
39.5 |
15.7 |
0.217147 |
0.486634 |
1 |
17.1 |
12.6 |
36.4 |
42 |
15.1 |
0.180284 |
0.669671 |
1 |
9 |
8.5 |
19.3 |
22.7 |
7.7 |
0.291245 |
-0.03931 |
0 |
18.9 |
16.7 |
36.3 |
41.7 |
15.3 |
0.221713 |
0.469103 |
1 |
10.4 |
9.7 |
21.7 |
25.4 |
8.3 |
0.264309 |
-0.00528 |
0 |
13.7 |
11 |
27.5 |
30.5 |
12.2 |
0.117027 |
0.348453 |
0 |
19.4 |
14.4 |
39.8 |
44.3 |
17.9 |
0.176706 |
0.665057 |
1 |
16.6 |
13.5 |
38.1 |
43.4 |
14.9 |
0.177909 |
0.660291 |
1 |
12.2 |
10.8 |
27.3 |
31.6 |
10.9 |
0.149458 |
0.275785 |
1 |
15.8 |
15 |
34.5 |
40.3 |
15.3 |
0.218708 |
0.479564 |
0 |
14.2 |
10.7 |
27.8 |
30.9 |
12.7 |
0.107155 |
0.397704 |
1 |
12 |
10.7 |
24.6 |
28.9 |
10.5 |
0.197942 |
0.140803 |
0 |
14.3 |
12.2 |
28.1 |
31.8 |
12.5 |
0.152032 |
0.311478 |
1 |
8.1 |
6.7 |
16.1 |
19 |
7 |
0.304009 |
-0.02581 |
1 |
13.1 |
10.6 |
28.2 |
32.3 |
11 |
0.134658 |
0.337906 |
0 |
13.4 |
10.1 |
26.6 |
29.6 |
12 |
0.100086 |
0.390471 |
1 |
11.9 |
11.4 |
26 |
30.1 |
10.9 |
0.194433 |
0.153612 |
0 |
17.9 |
12.9 |
36.9 |
40.9 |
16.5 |
0.177868 |
0.674719 |
1 |
9.1 |
8.2 |
19.2 |
22.2 |
7.7 |
0.2856 |
-0.01869 |
0 |
17.1 |
14.5 |
33.1 |
37.2 |
14.6 |
0.21554 |
0.465143 |
1 |
16.2 |
13.3 |
36 |
41.7 |
15.4 |
0.175418 |
0.641807 |
1 |
9.5 |
8.2 |
19.6 |
22.4 |
7.8 |
0.276071 |
0.003014 |
0 |
14.6 |
11.3 |
29.9 |
33.5 |
12.8 |
0.115153 |
0.441021 |
0 |
11.4 |
9.2 |
21.7 |
24.1 |
9.7 |
0.137335 |
0.26198 |
0 |
13.2 |
11 |
27.1 |
30.4 |
12.2 |
0.116576 |
0.339024 |
0 |
17.5 |
12.7 |
34.6 |
38.4 |
16.1 |
0.170864 |
0.637358 |
0 |
12.5 |
9.4 |
24.2 |
27 |
11.2 |
0.104548 |
0.363098 |
0 |
18.4 |
13.4 |
37.9 |
42.2 |
17.7 |
0.180254 |
0.682151 |
1 |
16.4 |
14 |
34.2 |
39.8 |
15.2 |
0.195791 |
0.535714 |
0 |
15.7 |
12.2 |
31.7 |
34.2 |
14.2 |
0.150165 |
0.50174 |
0 |
14.2 |
10.6 |
28.7 |
31.7 |
12.9 |
0.103394 |
0.434736 |
1 |
11.6 |
11.4 |
23.7 |
27.7 |
10 |
0.233572 |
0.044733 |
1 |
19.3 |
13.5 |
41.6 |
47.4 |
17.8 |
0.189698 |
0.709355 |
1 |
9.8 |
8 |
20.3 |
23 |
8.2 |
0.248102 |
0.078089 |
1 |
13.4 |
11.8 |
28.4 |
32.7 |
11.7 |
0.16821 |
0.280037 |
1 |
19.2 |
16.5 |
40.9 |
47.9 |
18.1 |
0.186767 |
0.565081 |
1 |
15.4 |
13.3 |
32.4 |
37.6 |
13.8 |
0.193727 |
0.484812 |
1 |
17.1 |
12.7 |
36.7 |
41.9 |
15.6 |
0.181442 |
0.674435 |
0 |
15.7 |
13.6 |
31 |
34.8 |
13.8 |
0.197068 |
0.41946 |
1 |
17.7 |
13.6 |
38.7 |
44.5 |
16 |
0.18074 |
0.676507 |
0 |
15.1 |
11.4 |
30.2 |
33.3 |
14 |
0.123834 |
0.479141 |
1 |
12.8 |
10.2 |
27.2 |
31.8 |
10.9 |
0.13524 |
0.330697 |
0 |
12.6 |
11.5 |
25 |
28.1 |
11.5 |
0.14198 |
0.237604 |
0 |
23.1 |
15.7 |
47.6 |
52.8 |
21.6 |
0.188681 |
0.709758 |
1 |
14.3 |
11.6 |
31.3 |
35.5 |
12.7 |
0.142003 |
0.474487 |
0 |
21.9 |
17.2 |
42.6 |
47.4 |
19.5 |
0.205331 |
0.523984 |
0 |
16.3 |
11.6 |
31.6 |
34.2 |
14.5 |
0.142465 |
0.544781 |
1 |
15.2 |
14.3 |
33.9 |
38.5 |
14.7 |
0.210311 |
0.482866 |
1 |
13.1 |
10.9 |
28.3 |
32.4 |
11.2 |
0.139094 |
0.325651 |
1 |
15.1 |
13.5 |
31.9 |
37 |
13.8 |
0.204531 |
0.448863 |
0 |
18.4 |
15.7 |
36.5 |
41.6 |
16.4 |
0.218586 |
0.487638 |
0 |
12.9 |
11.2 |
25.8 |
29.1 |
11.9 |
0.134229 |
0.274483 |
0 |
18 |
13.4 |
36.7 |
41.3 |
17.1 |
0.17606 |
0.661923 |
1 |
11 |
9.8 |
22.5 |
25.7 |
8.2 |
0.254662 |
0.014069 |
1 |
13.9 |
13 |
30 |
34.9 |
13.1 |
0.194687 |
0.356125 |
0 |
21.4 |
18 |
41.2 |
46.2 |
18.7 |
0.221432 |
0.475679 |
0 |
21 |
15 |
42.9 |
47.2 |
19.4 |
0.180696 |
0.685229 |
0 |
18 |
16.3 |
37.9 |
43 |
17.2 |
0.217559 |
0.491183 |
1 |
19.7 |
15.3 |
41.9 |
48.5 |
17.8 |
0.17477 |
0.660315 |
1 |
13 |
11.4 |
27.3 |
31.8 |
11.3 |
0.167924 |
0.24376 |
0 |
14.7 |
11.1 |
29 |
32.1 |
13.1 |
0.114447 |
0.423816 |
1 |
16.8 |
12.8 |
36.2 |
41.8 |
14.9 |
0.17777 |
0.657896 |
0 |
18.6 |
13.4 |
37.8 |
41.9 |
17.3 |
0.178853 |
0.676032 |
0 |
20.5 |
17.5 |
40 |
45.5 |
19.2 |
0.22045 |
0.481785 |
1 |
12.9 |
11 |
26.8 |
30.9 |
11.4 |
0.160758 |
0.252301 |
1 |
12.8 |
10.9 |
27.4 |
31.5 |
11 |
0.151763 |
0.275038 |
1 |
15 |
11.9 |
32.5 |
37.2 |
13.6 |
0.155423 |
0.552435 |
1 |
10.1 |
9.3 |
20.9 |
24.4 |
8.4 |
0.269591 |
-0.00864 |
1 |
10.3 |
9.5 |
21.3 |
24.7 |
8.9 |
0.260331 |
0.009475 |
1 |
16.3 |
12.7 |
35.6 |
40.9 |
14.9 |
0.175943 |
0.648233 |
1 |
13.2 |
12.2 |
27.9 |
32.1 |
11.5 |
0.189134 |
0.22384 |
0 |
18.6 |
14.5 |
34.7 |
39.4 |
15 |
0.215057 |
0.492643 |
1 |
19.8 |
14.2 |
43.2 |
49.7 |
18.6 |
0.189354 |
0.709639 |
1 |
9.6 |
7.9 |
20.1 |
23.1 |
8.2 |
0.247557 |
0.083671 |
0 |
23.1 |
20.2 |
46.2 |
52.5 |
21.1 |
0.221067 |
0.473831 |
0 |
18.8 |
13.4 |
37.2 |
41.1 |
17.5 |
0.177726 |
0.6683 |
0 |
14.1 |
10.7 |
28.7 |
31.9 |
13.3 |
0.104427 |
0.439446 |
1 |
11.5 |
11 |
24.7 |
29.2 |
10.1 |
0.211085 |
0.105349 |
0 |
19.4 |
14.1 |
39.1 |
43.2 |
17.8 |
0.177216 |
0.666064 |
0 |
16.2 |
11.8 |
32.3 |
35.3 |
14.7 |
0.147442 |
0.567963 |
0 |
14.2 |
11.3 |
29.2 |
32.2 |
13.5 |
0.114583 |
0.425135 |
1 |
12.6 |
10 |
27.7 |
31.7 |
11.4 |
0.131482 |
0.363198 |
1 |
11.8 |
9.6 |
24.2 |
27.8 |
9.7 |
0.183267 |
0.19081 |
0 |
20.3 |
16 |
39.4 |
44.1 |
18 |
0.205989 |
0.52638 |
1 |
17.9 |
14.1 |
39.7 |
44.6 |
16.8 |
0.179703 |
0.674052 |
0 |
23 |
16.8 |
47.2 |
52.1 |
21.5 |
0.177519 |
0.676243 |
1 |
17.2 |
13.5 |
37.6 |
43.9 |
16.1 |
0.179544 |
0.670033 |
1 |
14.6 |
11.3 |
31.9 |
36.4 |
13.7 |
0.146795 |
0.537008 |
1 |
15.2 |
12.1 |
32.3 |
36.7 |
13.6 |
0.158385 |
0.539258 |
1 |
16.9 |
13.2 |
37.3 |
42.7 |
15.6 |
0.179661 |
0.667931 |
1 |
15.5 |
13.8 |
33.4 |
38.7 |
14.7 |
0.197028 |
0.511104 |
0 |
18.5 |
14.6 |
37 |
42 |
16.6 |
0.187866 |
0.575208 |
0 |
14.7 |
13.2 |
29.6 |
33.4 |
12.9 |
0.176516 |
0.354553 |
1 |
15.9 |
12.7 |
34 |
38.9 |
14.2 |
0.170094 |
0.594635 |
1 |
15 |
13.8 |
31.7 |
36.9 |
14 |
0.213529 |
0.433439 |
0 |
18.3 |
15.7 |
35.1 |
40.5 |
16.1 |
0.220926 |
0.47552 |
0 |
15.1 |
11.5 |
30.9 |
34 |
13.9 |
0.126107 |
0.496218 |
1 |
13.7 |
12.5 |
28.6 |
33.8 |
11.9 |
0.189198 |
0.278252 |
0 |
19.1 |
16.3 |
37.9 |
42.6 |
17.2 |
0.219603 |
0.485798 |
0 |
20.6 |
17.5 |
41.5 |
46.2 |
19.2 |
0.216969 |
0.49303 |
0 |
21.3 |
18.4 |
43.8 |
48.4 |
20 |
0.217212 |
0.490055 |
0 |
10.7 |
8.6 |
20.7 |
22.7 |
9.2 |
0.138393 |
0.270389 |
0 |
17.5 |
12 |
34.4 |
37.3 |
15.3 |
0.167035 |
0.639669 |
1 |
13.1 |
11.5 |
27.6 |
32.6 |
11.1 |
0.166793 |
0.251855 |
1 |
18.8 |
15.8 |
42.1 |
49 |
17.8 |
0.172055 |
0.643966 |
0 |
19.1 |
16 |
37.8 |
42.3 |
16.8 |
0.218212 |
0.490693 |
0 |
12.7 |
10.4 |
26 |
28.8 |
12.1 |
0.108675 |
0.349789 |
0 |
17.5 |
14.3 |
34.5 |
39.6 |
15.6 |
0.204839 |
0.516065 |
0 |
14 |
11.9 |
27 |
31.4 |
12.6 |
0.145336 |
0.297399 |
0 |
20 |
16.7 |
40.4 |
45.1 |
17.7 |
0.214122 |
0.501655 |
1 |
15.7 |
13.9 |
33.6 |
38.5 |
14.1 |
0.205099 |
0.490191 |
0 |
18.6 |
13.5 |
36.9 |
40.2 |
17 |
0.175904 |
0.649831 |
1 |
14.7 |
12.5 |
30.1 |
34.7 |
12.5 |
0.184551 |
0.374176 |
0 |
16.1 |
13.7 |
31.4 |
36.1 |
13.9 |
0.201979 |
0.439438 |
0 |
16.2 |
14 |
31.6 |
35.6 |
13.7 |
0.206085 |
0.434671 |
0 |
18.4 |
15.5 |
35.6 |
40 |
15.9 |
0.220283 |
0.479205 |
1 |
19.3 |
13.8 |
40.9 |
46.5 |
16.8 |
0.184746 |
0.694301 |
1 |
19.8 |
14.3 |
42.4 |
48.9 |
18.3 |
0.186874 |
0.702543 |
1 |
15 |
11.5 |
32.4 |
37 |
13.4 |
0.151531 |
0.551016 |
0 |
10.7 |
9.7 |
21.4 |
24 |
9.8 |
0.148883 |
0.221458 |
1 |
7.2 |
6.5 |
14.7 |
17.1 |
6.1 |
0.334492 |
-0.09989 |
0 |
21.5 |
15.5 |
45.5 |
49.7 |
20.9 |
0.185484 |
0.700857 |
0 |
17.5 |
14.4 |
34.5 |
39 |
16 |
0.207533 |
0.51132 |
0 |
17.1 |
12.6 |
35 |
38.9 |
15.7 |
0.169674 |
0.643116 |
0 |
18.8 |
15.2 |
35.8 |
40.5 |
16.6 |
0.216638 |
0.495743 |
1 |
17.4 |
16.9 |
38.2 |
44.1 |
16.6 |
0.222903 |
0.474585 |
0 |
12.5 |
9.4 |
23.2 |
26 |
10.8 |
0.117397 |
0.31905 |
1 |
17.5 |
16.7 |
38.6 |
44.5 |
17 |
0.21872 |
0.487265 |
0 |
21.7 |
17.1 |
41.7 |
47.2 |
19.6 |
0.207684 |
0.518693 |
0 |
20.9 |
16.5 |
39.9 |
44.7 |
17.5 |
0.216313 |
0.49661 |
1 |
12.6 |
12.2 |
26.1 |
31.6 |
11.2 |
0.1997 |
0.160681 |
0 |
16.1 |
13.6 |
31.6 |
36 |
14 |
0.20021 |
0.445052 |
0 |
14 |
12.8 |
28.8 |
32.4 |
12.7 |
0.161376 |
0.317749 |
1 |
15.6 |
14.7 |
33.9 |
39.5 |
14.3 |
0.220551 |
0.464055 |
1 |
18 |
13.7 |
39.2 |
44.4 |
16.2 |
0.180954 |
0.677941 |
0 |
21.9 |
15.7 |
45.4 |
51 |
21.1 |
0.18446 |
0.698053 |
0 |
12.5 |
10 |
24.1 |
27 |
10.9 |
0.12394 |
0.294871 |
1 |
9.2 |
7.8 |
19 |
22.4 |
7.7 |
0.271036 |
0.025815 |
1 |
11.6 |
11 |
24.6 |
28.5 |
10.4 |
0.2124 |
0.103078 |
1 |
15.6 |
13.9 |
32.8 |
37.9 |
13.4 |
0.214488 |
0.451173 |
0 |
9.1 |
6.9 |
16.7 |
18.6 |
7.4 |
0.168183 |
0.230079 |
0 |
21.6 |
15.4 |
45.7 |
49.7 |
20.6 |
0.185995 |
0.702309 |
1 |
13.9 |
11.1 |
29.2 |
33.3 |
12.1 |
0.135032 |
0.38883 |
1 |
11.7 |
10.6 |
24.9 |
28.5 |
10.4 |
0.197175 |
0.1446 |
0 |
11.4 |
9 |
22.7 |
24.8 |
10.1 |
0.117034 |
0.325353 |
1 |
15.4 |
11.8 |
33 |
37.5 |
13.6 |
0.158811 |
0.574402 |
1 |
14.9 |
13.2 |
30.1 |
35.6 |
12 |
0.208719 |
0.352757 |
1 |
10.8 |
9 |
23 |
26.5 |
9.8 |
0.191608 |
0.191765 |
1 |
15.1 |
13.8 |
31.7 |
36.6 |
13 |
0.21727 |
0.409333 |
0 |
21.6 |
14.8 |
43.4 |
48.2 |
20.1 |
0.185089 |
0.699409 |
1 |
11.6 |
9.1 |
24.5 |
28.4 |
10.4 |
0.159586 |
0.279538 |
0 |
14.1 |
10.4 |
28.9 |
31.8 |
13.5 |
0.103647 |
0.457285 |
0 |
17.8 |
12.5 |
36 |
39.8 |
16.7 |
0.177742 |
0.67555 |
1 |
16.7 |
16.1 |
36.6 |
41.9 |
15.4 |
0.224569 |
0.469772 |
1 |
10.8 |
9.5 |
22.5 |
26.3 |
9.1 |
0.227126 |
0.086761 |
1 |
15.1 |
13.3 |
31.8 |
36.3 |
13.5 |
0.201555 |
0.43998 |
1 |
15 |
10.9 |
31.4 |
36.4 |
13.2 |
0.14299 |
0.528109 |
1 |
16.1 |
11.6 |
33.8 |
39 |
14.4 |
0.169483 |
0.628457 |
1 |
15.3 |
14.2 |
32.6 |
38.3 |
13.8 |
0.218605 |
0.445497 |
0 |
15 |
12.3 |
30.1 |
33.3 |
14 |
0.15382 |
0.421494 |
1 |
12.8 |
11.7 |
27.1 |
31.2 |
11.9 |
0.178291 |
0.223974 |
1 |
16.1 |
12.8 |
34.9 |
40.7 |
15.7 |
0.175651 |
0.64623 |
0 |
14.9 |
13 |
30 |
33.7 |
13.3 |
0.176118 |
0.376041 |
1 |
11.8 |
10.5 |
25.2 |
29.3 |
10.3 |
0.184681 |
0.175614 |
0 |
15.6 |
13.5 |
31.2 |
35.1 |
14.1 |
0.195013 |
0.429867 |
0 |
18.2 |
13.7 |
38.8 |
42.7 |
17.2 |
0.178856 |
0.677047 |
0 |
20.1 |
13.7 |
40.6 |
44.5 |
18 |
0.184155 |
0.695958 |
0 |
22.1 |
15.8 |
44.6 |
49.6 |
20.5 |
0.179218 |
0.680919 |
0 |
22.5 |
17.2 |
43 |
48.7 |
19.8 |
0.198351 |
0.540444 |
1 |
12.3 |
11 |
26.8 |
31.5 |
11.4 |
0.155959 |
0.259127 |
1 |
12 |
11.1 |
25.4 |
29.2 |
11 |
0.194869 |
0.151061 |
1 |
8.8 |
7.7 |
18.1 |
20.8 |
7.4 |
0.296807 |
-0.03373 |
1 |
16.2 |
15.2 |
34.5 |
40.1 |
13.9 |
0.22636 |
0.455678 |
0 |
15.6 |
14 |
31.6 |
35.3 |
13.8 |
0.202609 |
0.426803 |
Table 4 Output results for given input for a neuron network
Major application of training of neuron is in the neural processor which can be used neural processor that can be in turn used the Robots which acts a Central processing system for analyzing the problem by itself.
What is claimed in this are
Author would like to thank Prof. Navarun Gupta, Prof. Hassan Bajwa and Prof. Linfeng Zhang for their academic support. Author also thanks anonymous reviewers for their comments.
The author declares there are no conflicts of interest.
©2018 Mitra. This is an open access article distributed under the terms of the, which permits unrestricted use, distribution, and build upon your work non-commercially.