Year: 2022

NEURAL NETWORK. “However, the sense of geometry is provided by the concept of a quantum field. Indeed, while the interaction of the quantum fields in position space is local, in momentum space it is not. The fact that the neurons are translated into the momentum modes, shows how to connect them to geometry.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

MEMORY. “The critical state of an enhanced memory capacity is reached due to the high excitations (i.e., the high occupation numbers) of some of the neurons, which – due to the excitatory synaptic connections ‐ lowers the excitation thresholds for others. We choose the highly excited neuron to be the one with the lowest energy threshold.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

THE EXCITED NEURON. “The storage of information in such neurons is very costly in energy. Because of this reason, they shall not be counted in the estimate of the memory storage capacity of the system.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

LOWEST ENERGY THRESHOLD. “Not surprisingly, the neural network in the above critical state can respond – with maximal precision – to an arbitrarily soft input stimuli.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

INFORMATION PASSAGE. “We shall assume that a pattern encoded in an initial state of b‐neurons is transmitted to a‐neurons through the synaptic connections. The response efficiency will be measured by its precision, i.e., by how accurately the state of a‐neurons can reproduce an input pattern.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

EXPONENTIAL STORAGE. “We have seen that a quantum brain network with the gravity‐like synaptic connections can acquire a very high complexity and an ability to store an exponentially large number of patterns within a narrow energy gap.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

INTUITIVE THINKING. “The acquisition of skill selectively increases the accessibility of useful responses and of productive ways to organize information. The master chess player does not see the same board as the novice.” (Nobel Prize Lecture, December 8, 2002 by Daniel Kahneman). https://lnkd.in/dt86PQg View in LinkedIn

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AREA LAW. “Assuming a spherically symmetric structure of the synaptic connections, the entropy of the critical states obeys the area low. In such a state the network delivers a set of the gapless neurons that inhabit a sphere of one dimension less. The identification of neurons with the angular‐momentum modes of a quantum field gives a well‐defined geometric meaning to the neural network.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

GAPLESS MODES. “The considered phenomenon of the critical memory enhancement has a smooth classical limit and can thereby take place is classical neural networks. We have seen this explicitly by storing patterns in the coherent states of the gapless modes.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn