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The chronotron: a neuron that learns to fire temporally precise spike patterns.

Florian RV - PLoS ONE (2012)

Bottom Line: When the input is noisy, the classification also leads to noise reduction.The chronotrons can model neurons that encode information in the time of the first spike relative to the onset of salient stimuli or neurons in oscillatory networks that encode information in the phases of spikes relative to the background oscillation.Our results show that firing one spike per cycle optimizes memory capacity in neurons encoding information in the phase of firing relative to a background rhythm.

View Article: PubMed Central - PubMed

Affiliation: Center for Cognitive and Neural Studies, Romanian Institute of Science and Technology, Cluj-Napoca, Romania. florian@rist.ro

ABSTRACT
In many cases, neurons process information carried by the precise timings of spikes. Here we show how neurons can learn to generate specific temporally precise output spikes in response to input patterns of spikes having precise timings, thus processing and memorizing information that is entirely temporally coded, both as input and as output. We introduce two new supervised learning rules for spiking neurons with temporal coding of information (chronotrons), one that provides high memory capacity (E-learning), and one that has a higher biological plausibility (I-learning). With I-learning, the neuron learns to fire the target spike trains through synaptic changes that are proportional to the synaptic currents at the timings of real and target output spikes. We study these learning rules in computer simulations where we train integrate-and-fire neurons. Both learning rules allow neurons to fire at the desired timings, with sub-millisecond precision. We show how chronotrons can learn to classify their inputs, by firing identical, temporally precise spike trains for different inputs belonging to the same class. When the input is noisy, the classification also leads to noise reduction. We compute lower bounds for the memory capacity of chronotrons and explore the influence of various parameters on chronotrons' performance. The chronotrons can model neurons that encode information in the time of the first spike relative to the onset of salient stimuli or neurons in oscillatory networks that encode information in the phases of spikes relative to the background oscillation. Our results show that firing one spike per cycle optimizes memory capacity in neurons encoding information in the phase of firing relative to a background rhythm.

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The distribution of the number of input spikes per trial, for inputs generated using a Gamma process, as in Fig. 12.(A) The normalized average period is . (B) . (C) . (D) . (E) .
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pone-0040233-g020: The distribution of the number of input spikes per trial, for inputs generated using a Gamma process, as in Fig. 12.(A) The normalized average period is . (B) . (C) . (D) . (E) .

Mentions: In Fig. 12, we explored the chronotron performance as a function of the firing rate of the inputs. Here, the input spike trains were generated using a Gamma process of order 3 and time constant , i.e. the interspike intervals were generated randomly with a probability distribution, for an interspike interval ,(42)This leads to input spike trains having an average firing rate of and an average interspike interval (period) . The learning rate was adapted to the input firing rate, . Except the input and the learning rate, the setup was as in Fig. 9, with E-learning and . We studied the performance as a function of the normalized average period . The probability distribution of the number of input spikes per trial, for several values of , is illustrated in Fig. 20.


The chronotron: a neuron that learns to fire temporally precise spike patterns.

Florian RV - PLoS ONE (2012)

The distribution of the number of input spikes per trial, for inputs generated using a Gamma process, as in Fig. 12.(A) The normalized average period is . (B) . (C) . (D) . (E) .
© Copyright Policy
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC3412872&req=5

pone-0040233-g020: The distribution of the number of input spikes per trial, for inputs generated using a Gamma process, as in Fig. 12.(A) The normalized average period is . (B) . (C) . (D) . (E) .
Mentions: In Fig. 12, we explored the chronotron performance as a function of the firing rate of the inputs. Here, the input spike trains were generated using a Gamma process of order 3 and time constant , i.e. the interspike intervals were generated randomly with a probability distribution, for an interspike interval ,(42)This leads to input spike trains having an average firing rate of and an average interspike interval (period) . The learning rate was adapted to the input firing rate, . Except the input and the learning rate, the setup was as in Fig. 9, with E-learning and . We studied the performance as a function of the normalized average period . The probability distribution of the number of input spikes per trial, for several values of , is illustrated in Fig. 20.

Bottom Line: When the input is noisy, the classification also leads to noise reduction.The chronotrons can model neurons that encode information in the time of the first spike relative to the onset of salient stimuli or neurons in oscillatory networks that encode information in the phases of spikes relative to the background oscillation.Our results show that firing one spike per cycle optimizes memory capacity in neurons encoding information in the phase of firing relative to a background rhythm.

View Article: PubMed Central - PubMed

Affiliation: Center for Cognitive and Neural Studies, Romanian Institute of Science and Technology, Cluj-Napoca, Romania. florian@rist.ro

ABSTRACT
In many cases, neurons process information carried by the precise timings of spikes. Here we show how neurons can learn to generate specific temporally precise output spikes in response to input patterns of spikes having precise timings, thus processing and memorizing information that is entirely temporally coded, both as input and as output. We introduce two new supervised learning rules for spiking neurons with temporal coding of information (chronotrons), one that provides high memory capacity (E-learning), and one that has a higher biological plausibility (I-learning). With I-learning, the neuron learns to fire the target spike trains through synaptic changes that are proportional to the synaptic currents at the timings of real and target output spikes. We study these learning rules in computer simulations where we train integrate-and-fire neurons. Both learning rules allow neurons to fire at the desired timings, with sub-millisecond precision. We show how chronotrons can learn to classify their inputs, by firing identical, temporally precise spike trains for different inputs belonging to the same class. When the input is noisy, the classification also leads to noise reduction. We compute lower bounds for the memory capacity of chronotrons and explore the influence of various parameters on chronotrons' performance. The chronotrons can model neurons that encode information in the time of the first spike relative to the onset of salient stimuli or neurons in oscillatory networks that encode information in the phases of spikes relative to the background oscillation. Our results show that firing one spike per cycle optimizes memory capacity in neurons encoding information in the phase of firing relative to a background rhythm.

Show MeSH