Category: Uncategorized

THE IMAGINATIVE LEAP. “Thus, it appears that the neural network – when translated in quantum field theoretic language – can exhibit some intrinsic holographic properties, such as, the emergence of the gapless neurons inhabiting a lower dimensional surface with the resulting micro‐state entropy that scales as the corresponding area. This is something highly reminiscent of gravitational systems, such as, the black holes or the AdS space.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

THE GUTS OF THE MACHINE. “The entropy of the resulting micro‐states depends on the symmetry structure of the network. We show that, when we impose a symmetry group of a d‐dimensional sphere, a set of the gapless neurons emerges with their number equal to an area of a ‐dimensional sphere of the same radius.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

EXPONENTIAL INFO STORAGE. “We observe that such a network exhibits a critical state in which a set of would‐be‐high‐threshold neurons becomes effectively gapless. Correspondingly, in this set of neurons the network can store an exponentially large number of patterns within an arbitrarily narrow energy gap.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

CYBERNETIC BRAIN. “Namely, we study a network in which the synaptic connections among the pairs of neurons are energetically negative and also proportional to the products of their energy thresholds.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

SYNAPTIC CONNECTIONS. “When it is energetically favorable for the two neurons k and r to simultaneously be in the excited states, we shall call the synaptic connection excitatory in the energetic sense. Correspondingly, in the opposite case we refer to the connection as inhibitory. For the quantum field this translates as the interaction energy between the two modes k and j being negative (attractive) or positive (repulsive).” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

THE DICTIONARY DEVELOPS. “Next thing is the interaction. The quantum neurons influence each other through the synaptic connections, which can be represented as an operator with two or more indexes, .” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

Alley way door in old town Girona makes a nod to an old tale about the bees. View in LinkedIn

BLACK HOLES FROM ANOTHER UNIVERSE. “Earlier universes might have existed before ours, and would have contained black holes. Prominent Oxford University mathematical physicist Roger Penrose has argued that cosmic background radiation – an energetic relic from the Big Bang – contains imprints of these black holes from before time. “ https://lnkd.in/d5wT4c6 View in LinkedIn

LEXICON DEVELOPS. “Since on the quantum field theory side the analogous number operators describe the occupation numbers of respective momentum modes, the excitation level of a neuron is translated as the occupation number of a particle mode.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn