Journal
NEUROCOMPUTING
Volume 112, Issue -, Pages 58-63Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2012.12.041
Keywords
Short term memory capacity; Fisher memory curve; Recurrent neural network; Echo state network; Reservoir computing
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Funding
- Biotechnology and Biological Sciences Research Council [BB/H012508/1] Funding Source: researchfish
- BBSRC [BB/H012508/1] Funding Source: UKRI
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We investigate the relation between two quantitative measures characterizing short term memory in input driven dynamical systems, namely the short term memory capacity (MC) [3] and the Fisher memory curve (FMC) [2]. We show that even though MC and FMC map the memory structure of the system under investigation from two quite different perspectives, for linear input driven dynamical systems they are in fact closely related. In particular, under some assumptions, the two quantities can be interpreted as squared 'Mahalanobis' norms of images of the input vector under the system's dynamics. We also offer a detailed rigorous analysis of the relation between MC and FMC in cases of symmetric and cyclic dynamic couplings. (C) 2013 Elsevier B.V. All rights reserved.
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