RT Journal Article
T1 High-Dimensional Brain: A Tool for Encoding and Rapid Learning of Memories by Single Neurons
A1 Tyukin, Ivan
A1 Gorban, Alexander
A1 Calvo Tapia, Carlos
A1 Makarova, Julia
A1 Makarov Slizneva, Valeriy
AB Codifying memories is one of the fundamental problems of modern Neuroscience. The functional mechanisms behind this phenomenon remain largely unknown. Experimental evidence suggests that some of the memory functions are performed by stratified brain structures such as the hippocampus. In this particular case, single neurons in the CA1 region receive a highly multidimensional input from the CA3 area, which is a hub for information processing. We thus assess the implication of the abundance of neuronal signalling routes converging onto single cells on the information processing. We show that single neurons can selectively detect and learn arbitrary information items, given that they operate in high dimensions. The argument is based on stochastic separation theorems and the concentration of measure phenomena. We demonstrate that a simple enough functional neuronal model is capable of explaining: (i) the extreme selectivity of single neurons to the information content, (ii) simultaneous separation of several uncorrelated stimuli or informational items from a large set, and (iii) dynamic learning of new items by associating them with already “known” ones. These results constitute a basis for organization of complex memories in ensembles of single neurons. Moreover, they show that no a priori assumptions on the structural organization of neuronal ensembles are necessary for explaining basic concepts of static and dynamic memories.
PB Springer
YR 2018
FD 2018
LK https://hdl.handle.net/20.500.14352/94901
UL https://hdl.handle.net/20.500.14352/94901
LA eng
NO Tyukin IY, Gorban AN, Calvo C, Makarova J, Makarov VA. High-dimensional brain. A tool for encoding and rapid learning of memories by single neurons. Bulletin of Mathematical Biology 81(11) 4856-4888, 2019
NO Ministerio de Economía y Competitividad (España)
NO Innovate UK
NO Ministry of Education and Science (Russia)
DS Docta Complutense
RD 19 dic 2025