Connection function

[Evian]

Hi,

Can anyone tell me what’s the difference between the following few conditions using connection():

1. connect ensemble to ensemble
2. connect ensemble.neurons to ensemble(or ensemble to ensemble.neurons)
3. connect ensemble.neurons to ensemble.neurons.(it means fully connected?)

Thanks!

[xchoo]

Hi @Evian,

I discuss the basic differences between the different types of connections here.

To quote myself:

@xchoo

The context of the connection weight matrix depends on the pre and post objects of the connection. You could have 4 different types of connections:

Ensemble to ensemble

nengo.Connection(ensA, ensB)

As described above, the connection weights in the connection are treated as decoders, and the ensemble’s (ensB) encoders are used as well.

Ensemble to neuron

nengo.Connection(ensA, ensB.neurons)

Here, the connection weights in the connection are treated as decoders, but ensB’s encoders are ignored (bypassed) in the computation. This method of connection is used frequently to implement inhibitory connections.

Neuron to neuron

nengo.Connection(ensA.neurons, ensB.neurons)

Here, the connection weights in the connection are treated as the “full” connectivity matrix, and ensB’s encoders are also ignored. This is typically used in connections with learning rules, where the learning rule needs to modify the individual elements in the full connection weight matrix. For such learning rules, using a decoded connection would not work since the learning rule would not have access to the full weight matrix (only the decoders).

Neuron to ensemble

nengo.Connection(ensA.neurons, ensB)

Here, the connection weights in the connection are treated as a connectivity matrix, but ensB’s encoders are also included in the computation. While technically possible, I can’t think of any typical use cases for this type of connection.

Note:
You can also have connections to and from other objects (namely, nengo.Nodes). For nodes, connections from them are treated as just a connectivity matrix (pure math). And connection to nodes are treated the same too.

[tbekolay]

There’s also an in-depth discussion of this in the Nengo docs.

[Evian]

Thank you very much!