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Biological neuron and synapse. 

Biological neuron and synapse. 

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... brain can perform complex tasks such as unstructured data classification and image recognition. In human brain, excitatory and inhibitory postsynaptic potentials are delivered from presynaptic neuron to postsynaptic neuron through chemical and electrical signal at synapses, driving the change of synaptic weight, as shown in Figure 2. The synaptic weight is precisely adjusted by the ionic flow through the neurons. ...
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... 11 is the proposed spike shape, which is similar to the biological spikes. Figure 12 shows the STDP curves produced by the proposed spike shape. In Figure 12, the vertical axis shows the average Figure 11. ...
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... 12 shows the STDP curves produced by the proposed spike shape. In Figure 12, the vertical axis shows the average Figure 11. Proposed spike shape used for processing and learning purposed [17]. ...
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... the different number and size of input and output single, the structure of the second layer is distinctly different from the one. The circuit design of the second convolution layer is shown in Figure 20. Each column represents six different feature map convolution processes, and will be operated with 12 different kernels in parallel methods. ...
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... circuit used to complete this operation can be seen in Figure 21. The memristor crossbar used in classification layer is to store a weight matrix, which is different with storing a set of convolu- tion kernels arrays in convolution circuits. ...
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... CNN algorithm purely in simulation under these training conditions results in 92% classification accuracy as shown in Figure 22. And, the simulation process is to test the accuracy of the memristor based CNN recognition system described in the previous section. ...
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... neural networks, or RNNs, are the main tool for handling sequential data, which involve variable length inputs or outputs [40]. Compared with multilayer network, the weights in an RNN are shared across different instances of the artificial neurons, each associated with Figure 20. The circuit that is used to implement the second convolution layer. ...
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... simplest architecture of RNNs is illustrated in Figure 23 [40]. The left of Figure 24 shows the ordinary recurrent network circuit with weight matrices U, V, W denoting three different kind of connection (input-to-hidden, hidden-to-output, and hidden-to-hidden, respectively). ...
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... simplest architecture of RNNs is illustrated in Figure 23 [40]. The left of Figure 24 shows the ordinary recurrent network circuit with weight matrices U, V, W denoting three different kind of connection (input-to-hidden, hidden-to-output, and hidden-to-hidden, respectively). Each circle indicates a whole vector of activations. ...
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... circle indicates a whole vector of activations. The right of Figure 24 is a time-unfolded flow graph, where each node is now associated with one particular time instance. ...
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... this case, a nine synapses Hopfield network is realized with six memristors and three neurons. As shown in Figure 25, the artificial neuron has three inputs and each input, Ni ¼ (i ¼ 1, 2, and 3), is connected to a synapse with synaptic weight of w i . The output of the three-input binary artificial neuron is expressed as ...
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... artificial neuron was constructed, as shown in Figure 26. An operational amplifier is used to sum the inputs. ...
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... synaptic weights corresponding to input N 1 , N 2 , and N 3 are w 1 ¼ AE M1 M1þR , W 2 ¼ AE M2 M2þR and W 3 ¼ AE M3 M3þR , respectively (M 1 , M 2 , and M 3 are the resistance of the memristors, respectively, and the resistance of R is fixed at 3 MΩ). In the circuit shown in Figure 26, transmission gates B 1 , B 2 , and B 3 reform signals without modifying its polarity, inverters I 1 , I 2 and I 3 generate negative synaptic weights. ...
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... architecture of a 3-bit MHN implemented with nine synapses is shown in Figure 27. The synaptic weight from neuron i to neuron j is denoted as w i, j , which is mapped to resistance of the corresponding memristor M i, j ,. ...
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... synaptic weight from neuron i to neuron j is denoted as w i, j , which is mapped to resistance of the corresponding memristor M i, j ,. M i, j , and w i, j are represented by the resistance matrix, respectively Figure 28, and all the demonstration below is based on this circuit. The threshold vector T ¼ (θ 1 , θ 2 , θ 3 ) represents the threshold of the artificial neurons (neurons 1, 2, and 3), and the state vector X ¼ (X 1 , X 2, X 3 ) represents the states of the three neurons, respectively. ...

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