A New Perspective on Memorization in Recurrent Networks of Spiking Neurons

Language: English

Published by Hartung-Gorre, Hartung-Gorre Mai 2022, 2022

3866287585 / 9783866287587

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This item is printed on demand - Print on Demand Titel. Neuware -This thesis studies the capability of spiking recurrent neural network models to memorize dynamical pulse patterns (or firing signals). In the first part, discrete-time firing signals (or firing sequences) are considered. A recurrent network model, consisting of neurons with bounded disturbance, is introduced to analyze (simple) local learning. Two modes of learning/memorization are considered: The first mode is strictly online, with a single pass through the data, while the second mode uses multiple passes through the data. In both modes, the learning is strictly local (quasi-Hebbian): At any given time step, only the weights between the neurons firing (or supposed to be firing) at the previous time step and those firing (or supposed to be firing) at the present time step are modified. The main result is an upper bound on the probability that the single-pass memorization is not perfect. It follows that the memorization capacity in this mode asymptotically scales like that of the classical Hopfield model (which, in contrast, memorizes static patterns). However, multiple-rounds memorization is shown to achieve a higher capacity with an asymptotically nonvanishing number of bits per connection/synapse. These mathematical findings may be helpful for understanding the functionality of short-term memory and long-term memory in neuroscience. In the second part, firing signals in continuous-time are studied. It is shown how firing signals, containing firings only on a regular time grid, can be (robustly) memorized with a recurrent network model. In principle, the corresponding weights are obtained by supervised (quasi-Hebbian) multi-pass learning. The asymptotic memorization capacity is a nonvanishing number measured in bits per connection/synapse as its discrete-time analogon. Furthermore, the timing robustness of the memorized firing signals is investigated for different disturbance models. The regime of disturbances, where the relative occurrence-time of the firings is preserved over a long time span, is elaborated for the various disturbance models. The proposed models have the potential for energy efficient self-timed neuromorphic hardware implementations.Books on Demand GmbH, Überseering 33, 22297 Hamburg 228 pp. Englisch.…

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Bibliographic details

Title
A New Perspective on Memorization in Recurrent Networks of Spiking Neurons
Author
Patrick Murer
Publisher
Hartung-Gorre, Hartung-Gorre Mai 2022
Publication year
2022
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3866287585
ISBN 13
9783866287587
Item weight
337 grams
Dimensions
210x148x15 mm

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