Background | Hebb’s rule [45]) or infrequent reward signals [8, 46, 47]. |
Background | This type of plasticity-controlling neuromodulation has been successfully applied when evolving neural networks that solve reinforcement learning problems [25, 46], and a comparison found that evolution was able to solve more complex tasks with neuromodu-lated Hebbian learning than with Hebbian learning alone [25]. |
Discussion | However, even in the non-neuromodulatory (pure Hebbian ) experiments, P&CC is more modular (0.33 [95% Cl: 0.33, 0.33] vs PA 0.26 [0.22, 0.31 ], p = 1.16 x 10—12) and performs significantly better (0.72 [95% Cl: 0.71, 0.72] vs. PA 0.70 [0.69, 0.71], p = 0.003). |
Learning Model | The ai'aj component is a regular Hebbian learning term that is high when the activity of the pre and post-synaptic neurons of a connection are correlated [45]. |
Learning Model | The result is a Hebbian learning rule that is regulated by the inputs from neuromodulatory neurons, allowing the learning rate of specific connections to be increased or decreased in specific circumstances. |
The Importance of Neuromodulation | When we evolve Without neuromodulation, the Hebbian learning dynamics of each connection are constant throughout the lifetime of the organism: this is 0.75 — Normal Learning Forced Forgetting |
The Importance of Neuromodulation | Comparing the performance of networks evolved with and without neuromodulation demonstrates that with purely Hebbian learning (i.e. |
The Importance of Neuromodulation | This finding is in line with previous work demonstrating that neuromodulation allows evolution to solve more compleX reinforcement learning problems than purely Hebbian learning [25]. |
Discussion | Hebbian STDP shaped the lateral structure to improve signal detection performance. |
Excitatory and inhibitory STDP cooperatively shape structured lateral connections | We first introduced Hebbian STDP for both E-to-I and I-to-E connections. |
Excitatory and inhibitory STDP cooperatively shape structured lateral connections | Hebbian inhibitory STDP at lateral connections is not always beneficial for learning. |
Excitatory and inhibitory STDP cooperatively shape structured lateral connections | For eXample, in minor source detection, if we use Hebbian inhibitory STDP, a slightly minor source is not detectable, whereas for anti-Hebbian STDP, a small number of neurons still detect the minor source because reciprocal connections from strong-source responsive inhibitory neurons to strong-source responsive output neurons inhibit synaptic weight development for the stronger source (Fig 6C). |
If we assume WY 2 < > , and gZZ = 0, then the synaptic weight change follows | We have restricted our consideration to Hebbian STDP, but the properties of STDP on E-to-I and I-to-E connections are still debatable [58,59]. |
STDP in E-to-I and I-to-E connections | We showed that in a feedback circuit, Hebbian inhibitory STDP preferred winner-take-all while anti-Hebbian inhibitory STDP tended to cause winner-share-all (see Fukai and Tanaka 1997 for winner-share-all) at eXcitatory neurons (Fig 6D). |
STDP in E-to-I and I-to-E connections | In our model, although inhibitory neurons are not directly projected from input sources, as excitatory neurons learn a specific input source (Fig 5D, left panel), inhibitory neurons acquire feature selectivity through Hebbian STDP at synaptic connections from those excitatory neurons (Fig 5D, middle panel). |
average synaptic weight dynamics satisfy | The first two terms are Hebbian terms that depend on correlation by FX1 and FXZ, Whereas the remainders are homeostatic terms. |