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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 GREAT UNKNOWN. “The difficulties arise from the inaccessibility of the Planck scale (at least, in regard to terrestrial experiments), and the associated lack of any specific data to guide theoretical speculations.” https://lnkd.in/dMm_YkR View in LinkedIn

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

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Macabre dance, Museu Nacional d'Art de Catalunya. View in LinkedIn

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

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

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

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

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