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Neural computing in four spatial dimensions

delete2020-05-18
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OA
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A
Arturo Tozzi *
M
Muhammad Zubair Ahmad
J
James F. Peters
DOI:10.1007/s11571-020-09598-2delete
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摘要

摘要

En 中文
Relationships among near set theory, shape maps and recent accounts of the Quantum Hall effect pave the way to neural networks computations performed in higher dimensions. We illustrate the operational procedure to build a real or artificial neural network able to detect, assess and quantify a fourth spatial dimension. We show how, starting from two-dimensional shapes embedded in a 2D topological charge pump, it is feasible to achieve the corresponding four-dimensional shapes, which encompass a larger amount of information. Synthesis of surface shape components, viewed topologically as shape descriptions in the form of feature vectors that vary over time, leads to a 4D view of cerebral activity. This novel, relatively straightforward architecture permits to increase the amount of available qbits in a fixed volume.
Keyword:
Hall effect
Oscillations
Fourth dimension
Brain
Neuronal network
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期刊

Cognitive Neurodynamics 封面图
Cognitive Neurodynamics
IF:
3.9
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1.5K
被引数:
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university of north texas denton
学者数:
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论文数: 3.9K
被引数: 10
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University of North Texas System
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论文数: 7.7K
被引数: 178
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