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Neural computing in four spatial dimensions
DOI:10.1007/s11571-020-09598-2.png)
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
IF:
3.9
论文数:
1.5K
被引数:
2.8K
机构
引用论文
The Borsuk-Ulam theorem solves the curse of dimensionality: Comment on The unreasonable effectiveness of small neural ensembles in high-dimensional brain by Alexander N. Gorban et al.
PHYSICS OF LIFE REVIEWS
IF14.3

