Publication: Conservation laws by virtue of scale symmetries in neural systems
Conservation laws by virtue of scale symmetries in neural systems
Date
Date
Date
Citations
Fagerholm, E. D., Foulkes, W. M. C., Gallero-Salas, Y., Helmchen, F., Friston, K. J., Moran, R. J., & Leech, R. (2020). Conservation laws by virtue of scale symmetries in neural systems. PLoS Computational Biology, 16, e1007865. https://doi.org/10.1371/journal.pcbi.1007865
Abstract
Abstract
Abstract
In contrast to the symmetries of translation in space, rotation in space, and translation in time, the known laws of physics are not universally invariant under transformation of scale. However, a special case exists in which the action is scale invariant if it satisfies the following two constraints: 1) it must depend upon a scale-free Lagrangian, and 2) the Lagrangian must change under scale in the same way as the inverse time, [Formula: see text]. Our contribution lies in the derivation of a generalised Lagrangian, in the form of a
Metrics
Downloads
Views
Additional indexing
Creators (Authors)
- Fagerholm, Erik D
- Foulkes, W M C
- Gallero-Salas, Yasir
- Helmchen, Fritjof
- Friston, Karl J
- Moran, Rosalyn J
- Leech, Robert
Volume
Volume
Volume
Number
Number
Number
Page range/Item number
Page range/Item number
Page range/Item number
Item Type
Item Type
Item Type
Dewey Decimal Classifikation
Dewey Decimal Classifikation
Dewey Decimal Classifikation
Language
Language
Language
Publication date
Publication date
Publication date
Date available
Date available
Date available
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
OA Status
OA Status
OA Status
Free Access at
Free Access at
Free Access at
Publisher DOI
Metrics
Downloads
Views
Citations
Fagerholm, E. D., Foulkes, W. M. C., Gallero-Salas, Y., Helmchen, F., Friston, K. J., Moran, R. J., & Leech, R. (2020). Conservation laws by virtue of scale symmetries in neural systems. PLoS Computational Biology, 16, e1007865. https://doi.org/10.1371/journal.pcbi.1007865
