Hopfield Network PymoNNto Implementation

The following code creates a Hopfield Network which is trained with different MNIST images. The network switches from trianing to inference mode and back automatically every 100 iterations. Note, that the images do overlapp, which makes it quite hard for the network to differentiate them during the inference phase.

# /Examples_Classical/Hopfield.py
from PymoNNto import *

#https://github.com/crypto-code/Hopfield-Network/blob/4cc079d14c97157503567ea8fbdf6582b13ae140/network.py#L93

#from mnist.loader import MNIST  # pip install python-mnist
#mndata = MNIST('../../../MNIST/')
#data = mndata.load_testing()
#mnist_pictures = data[0]
#mnist_labels = data[1]

#print(mnist_pictures[4])
#print(mnist_pictures[5])
#print(mnist_pictures[6])
#print(mnist_pictures[7])



class Hopfield_main(Behavior):

    def initialize(self, n):
        n.v = n.vector()
        n.learning = True

    def iteration(self, n):
        if n.iteration % 100 == 0:
            n.learning = not n.learning


class Hopfield_weights(Behavior):

    def initialize(self, n):
        for s in n.synapses(afferent, 'GLUTAMATE'):
            s.W = s.matrix()
            s.enabeled = s.matrix() == 0.0
            np.fill_diagonal(s.enabeled, False)

        self.threshold = 0.0
        n.energy = 0

    def energy(self, s, W):
        return -0.5 * s @ W @ s + np.sum(s * self.threshold)

    def iteration(self, n):
        n.energy=0
        for s in n.synapses(afferent, 'GLUTAMATE'):
            n.energy += self.energy(n.v, s.W)

        if n.learning:
            for s in n.synapses(afferent, 'GLUTAMATE'):
                s.W += np.outer(s.src.v, s.dst.v)/1000
                s.W *= s.enabeled
                #s.W -= np.mean(s.W)
                #d=np.sum(np.abs(s.W),axis=1)
                #d[d==0]=1.0
                #s.W /= d
                s.W/=np.sum(np.abs(s.W))
                #s.W *= n.size
                #print(s.W[0:10])
        else:
            for s in n.synapses(afferent, 'GLUTAMATE'):
                #print(np.max(s.W @ n.v))
                n.v = (n.v*9 + np.sign(s.W @ n.v - self.threshold))/10

            #new = self.energy(state,s.W)#-state.dot(s.W).dot(state.T)#+sum(bias*state)
            #new = -0.5 * state @ s.W @ state + np.sum(state - self.threshold)
            #print(new)

            #n.v = new

            #n.v /= np.sum(n.v)*n.size
            #return

#7
#2
#1
#0
#4
#1
#4
#9

class Hopfield_input(Behavior):

    def initialize(self, n):
        #self.mnist_images=np.array([np.zeros(28*28),np.zeros(28*28),np.zeros(28*28),np.zeros(28*28)])
        #self.mnist_images[0][0:28 * 7] = 255
        #self.mnist_images[1][28 * 7:28 * 14] = 255
        #self.mnist_images[2][28 * 14:28 * 21] = 255
        #self.mnist_images[3][28 * 21:28 * 28] = 255

        self.mnist_images=np.array([
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            #,[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 149, 193, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 91, 224, 253, 253, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 235, 254, 253, 253, 166, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 253, 254, 253, 253, 253, 238, 115, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31, 241, 253, 208, 185, 253, 253, 253, 231, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 79, 254, 193, 0, 8, 98, 219, 254, 255, 201, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 86, 253, 80, 0, 0, 0, 182, 253, 254, 191, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 175, 253, 155, 0, 0, 0, 234, 253, 254, 135, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 86, 253, 208, 40, 85, 166, 251, 237, 254, 236, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 238, 253, 254, 253, 253, 185, 36, 216, 253, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 240, 255, 254, 145, 8, 0, 134, 254, 223, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 158, 142, 12, 0, 0, 9, 175, 253, 161, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 253, 226, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 166, 253, 126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 245, 253, 38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 115, 254, 172, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 218, 254, 46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 254, 165, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 186, 244, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 223, 78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
        ])
        self.mnist_images=((self.mnist_images/255-0.5)*2).astype(n.def_dtype)
        self.rho = np.sum([np.sum(t) for t in self.mnist_images]) / (len(self.mnist_images) * n.size)
        self.display_length = 20

        print(self.rho)

        #self.nr=0

    def iteration(self, n):
        if n.iteration % self.display_length == 0 or n.learning:

            n.v = self.mnist_images[np.random.randint(0, len(self.mnist_images))].copy()
            #t = train_data[i] - rho
            #np.random.randint(0, len(self.mnist_images))
            #self.nr+=1
            #if self.nr>=len(self.mnist_images):
            #    self.nr=0
            if not n.learning:
                n.v += (n.vector('uniform',density=0.5)-0.5)*2
                #n.v[n.vector('uniform',density=0.1) > 0.0] = 1.0

            n.v-=self.rho



My_Network = Network()

N_e = NeuronGroup(net=My_Network, tag='excitatory_neurons', size=NeuronDimension(width=28, height=28), behavior={
    1: Hopfield_main(),
    2: Hopfield_input(),
    3: Hopfield_weights(),
    #9: Recorder(['v', 'fired'], tag='my_recorder')
})

SynapseGroup(net=My_Network, src=N_e, dst=N_e, tag='GLUTAMATE')

My_Network.initialize()

#My_Network.simulate_iterations(1000, measure_block_time=True)

#import matplotlib.pyplot as plt
#plt.plot(My_Network['n.v', 0])
#plt.show()

#plt.imshow(My_Network['n.fired', 0, 'np'].transpose(),cmap='gray', aspect='auto')
#plt.show()


from PymoNNto.Exploration.Network_UI import *
my_UI_modules = get_default_UI_modules(['v','energy'], ['W'])
Network_UI(My_Network, modules=my_UI_modules, label='My_Network_UI', group_display_count=1).show()