linkedin post 2021-05-17 02:16:09

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FORGET LOCAL GEOMETRY. “The description of the neural network in terms of Fourier components of a local field, allows to give a geometric interpretation to something intrinsically non‐local. Indeed, neurons interact non‐locally: Everybody talks to each other according to the rules determined by the synaptic connections, with no real sense of local geometry.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn
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linkedin post 2021-05-17 02:15:14

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QUIET ENORMITY. “However, as we shall see, despite its simplicity, it suffices for generating an exponential enhancement of memory storage and pattern recognition capacities with the corresponding entropy that obeys an area law.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn
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linkedin post 2021-05-19 06:17:51

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BLACK HOLES & BRAINS. “The above features may serve as a supporting evidence that some version of black hole information storage may be taking place within classical brains.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn
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linkedin post 2021-05-19 06:17:08

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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
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linkedin post 2021-05-19 06:15:31

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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
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linkedin post 2021-05-19 06:02:17

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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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linkedin post 2021-05-19 06:01:57

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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
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linkedin post 2021-05-19 06:01:39

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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
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linkedin post 2021-05-19 06:01:17

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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
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