A Hebbian Learning Rule gives Rise to Mirror Neurons and Links Them to Control Theoretic Inverse Models
A. Hanuschkin, S. Ganguli, R. H. R Hahnloser

Citation
A. Hanuschkin, S. Ganguli, R. H. R Hahnloser. "A Hebbian Learning Rule gives Rise to Mirror Neurons and Links Them to Control Theoretic Inverse Models". Frontiers in Neural Circuits, 2013.

Abstract
Mirror neurons are neurons whose responses to the observation of a motor act resemble responses measured during production of that act. Computationally, mirror neurons have been viewed as evidence for the existence of internal inverse models. Such models, rooted within control theory, map-desired sensory targets onto the motor commands required to generate those targets. To jointly explore both the formation of mirrored responses and their functional contribution to inverse models, we develop a correlation-based theory of interactions between a sensory and a motor area. We show that a simple eligibility-weighted Hebbian learning rule, operating within a sensorimotor loop during motor explorations and stabilized by heterosynaptic competition, naturally gives rise to mirror neurons as well as control theoretic inverse models encoded in the synaptic weights from sensory to motor neurons. Crucially, we find that the correlational structure or stereotypy of the neural code underlying motor explorations determines the nature of the learned inverse model: random motor codes lead to causal inverses that map sensory activity patterns to their motor causes; such inverses are maximally useful, by allowing the imitation of arbitrary sensory target sequences. By contrast, stereotyped motor codes lead to less useful predictive inverses that map sensory activity to future motor actions. Our theory generalizes previous work on inverse models by showing that such models can be learned in a simple Hebbian framework without the need for error signals or backpropagation, and it makes new conceptual connections between the causal nature of inverse models, the statistical structure of motor variability, and the time-lag between sensory and motor responses of mirror neurons. Applied to bird song learning, our theory can account for puzzling aspects of the song system, including necessity of sensorimotor gating and selectivity of auditory responses to bird's own song (BOS) stimuli.

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  • HTML
    A. Hanuschkin, S. Ganguli, R. H. R Hahnloser. <a
    href="http://robotics.eecs.berkeley.edu/pubs/7.html"
    >A Hebbian Learning Rule gives Rise to Mirror Neurons and
    Links Them to Control Theoretic Inverse Models</a>,
    <i>Frontiers in Neural Circuits</i>,  2013.
  • Plain text
    A. Hanuschkin, S. Ganguli, R. H. R Hahnloser. "A
    Hebbian Learning Rule gives Rise to Mirror Neurons and Links
    Them to Control Theoretic Inverse Models".
    <i>Frontiers in Neural Circuits</i>,  2013.
  • BibTeX
    @article{HanuschkinGanguliHahnloser13_HebbianLearningRuleGivesRiseToMirrorNeuronsLinksThem,
        author = {A. Hanuschkin and S. Ganguli and R. H. R Hahnloser},
        title = {A Hebbian Learning Rule gives Rise to Mirror
                  Neurons and Links Them to Control Theoretic
                  Inverse Models},
        journal = {Frontiers in Neural Circuits},
        year = {2013},
        abstract = {Mirror neurons are neurons whose responses to the
                  observation of a motor act resemble responses
                  measured during production of that act.
                  Computationally, mirror neurons have been viewed
                  as evidence for the existence of internal inverse
                  models. Such models, rooted within control theory,
                  map-desired sensory targets onto the motor
                  commands required to generate those targets. To
                  jointly explore both the formation of mirrored
                  responses and their functional contribution to
                  inverse models, we develop a correlation-based
                  theory of interactions between a sensory and a
                  motor area. We show that a simple
                  eligibility-weighted Hebbian learning rule,
                  operating within a sensorimotor loop during motor
                  explorations and stabilized by heterosynaptic
                  competition, naturally gives rise to mirror
                  neurons as well as control theoretic inverse
                  models encoded in the synaptic weights from
                  sensory to motor neurons. Crucially, we find that
                  the correlational structure or stereotypy of the
                  neural code underlying motor explorations
                  determines the nature of the learned inverse
                  model: random motor codes lead to causal inverses
                  that map sensory activity patterns to their motor
                  causes; such inverses are maximally useful, by
                  allowing the imitation of arbitrary sensory target
                  sequences. By contrast, stereotyped motor codes
                  lead to less useful predictive inverses that map
                  sensory activity to future motor actions. Our
                  theory generalizes previous work on inverse models
                  by showing that such models can be learned in a
                  simple Hebbian framework without the need for
                  error signals or backpropagation, and it makes new
                  conceptual connections between the causal nature
                  of inverse models, the statistical structure of
                  motor variability, and the time-lag between
                  sensory and motor responses of mirror neurons.
                  Applied to bird song learning, our theory can
                  account for puzzling aspects of the song system,
                  including necessity of sensorimotor gating and
                  selectivity of auditory responses to bird's own
                  song (BOS) stimuli.},
        URL = {http://robotics.eecs.berkeley.edu/pubs/7.html}
    }
    

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