Neural Networks and Cognitive Control (1) Flashcards
What are the goals of science?
- description: what are we observing?
- prediction: what will we observe next?
- explanation: why is that what we observe?
What is an example of quantitative model?
- motion of planets
- apparent retrograde motion of planets (sometimes planets loop back)
- early explanation: Helios and other Gods driving chariots
- Ptolemaic geocentric model: precise predictions of when planes do loops
- copernican heliocentric model: doesn’t place earth at center
- Kepler’s law of planetary motion: elliptical orbits, extremely accurate predictions
Why is it important to have quantitative models?
- data require model to be understood and explained
- verbal theorizing does not substitute
- always several alternative models that must be compared
- model comparison needs quantitative evaluation and intellectual judgement
- intuitive verbal theories can turn out to be incoherent
- instantiation in a quantitative model ensures assumption of theory are identified and tested
What is the problem with a “perfect map”?
- perfect map must contain every detail, but if it contains every detail it will be as complex as the original phenomena you are trying to describe
- detailed models are no better than the phenomena itself
What is the fundamental tradeoff in models? What is the goal?
- simplicity and elegance versus complexity and accuracy
- goal: maximize explanatory power while minimizing complexity
What does predicting the weather require?
- accurate model of how weather works
- accurate measurement of current state of atmosphere
Why is it difficult to predict the weather?
- it is difficult to get an accurate measurement of the atmosphere
- sensitive dependence on initial conditions (Butterfly effect)
What does predicting a weather require?
- accurate model of how weather works
Why is predicting a weather easier than predicting the weather?
- we have big fast computers and might one day have good models
- matches actual weather in general features, but not in day-to-day details
What types of cognitive models are there?
- mathematical models
- symbolic models
- dynamical systems models
- hybrid models
What is a mathematical model (example)?
- Fitt’s Law: time to point to a target
- D: distance to target
- W: width of target
- a: initiation time for limb
- b: relative speed of limb
What model types rarely works in psychology?
- mathematical models
What is a symbolic model (example)?
- EPIC Architecture
- if/then statements
- if simple task, wait for tone
- if tone detected, then send to motor system
- cognition explained as a system with goals
What is a dynamical systems model?
- think of mind as a point moving through an abstract mental state space
- at any given moment each of the brain’s neurons is firing a little, a lot or not at all
- brain/mind is in some particular state
What is a hybrid model (example)?
- ACT-R with LEABRA
- visual input to a system was modeled using a neural network
- all levels of analysis are related to each other
How do the physical and functional structures of the neuron compare?
- dendrites: input
- cell body
- axon hillock: integrative
- axon: conductive
- synapse: output
What levels of detail are possible to simulate through computational neuroscience (examples)?
- structure of compartmental model: modeling section of dendrite to demonstrate synaptic transmission
- membrane potential distribution of a purkinje cell: model every single dendritic branch
How does a biological neuron work?
- gets presynaptic inputs (excitatory and inhibitory) to postsynaptic cell
- trigger zone at hillock
- action potential travels down axon