linkedin post 2021-05-17 02:09:51

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NEW LEXICON. “To summarize, we establish the following dictionary: Particle momentum mode Neural degree of freedom; Oscillator energy gap Excitation energy threshold of neuron; Mode occupation number Excitation level of neuron; Gravitational interaction among particles Excitatory synaptic connection among neurons; Black hole state Critical state of highly excited low threshold neurons.” 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 02:11:38

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INSPIRED DEDUCTION. “The above dictionary gives us a rough idea that in a neural network designed by the above rules, we should encounter a state of an enhanced memory storage capacity in form of a state in which some of the lowest threshold neurons are highly excited. As we shall see, this is indeed the case.” 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 02:13:19

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THE GOAL. “Finally, we would like to comment that our main goal is to reach a maximal energy efficiency of the memory storage, as well as, the efficiency of the response to the input external patterns. We shall not be interested in implementation of the learning algorithms and other computational tasks in the quantum neural networks.” 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 02:14:26

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ON GRAVITY AND NEURONS. “The above synaptic connection among the neurons, in the excitatory regime, is analogous to a gravitational interaction among particles. Therefore, such a setup represents a most naive way of bringing a gravity‐like dynamics into the neural networks.” 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 2021-05-17 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 02:17:26

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SELF-REFERENTIAL SENTENCES. “All of these sentences are "floating" in the context of the English language. They can be compared to icebergs, whose tips only are visible. The word sequences are the tips of the icebergs, and the processing which must be done to understand them is the hidden part. In this sense their meaning is implicit, not explicit.” https://lnkd.in/dmfn9qW View in LinkedIn
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