The Perceptron: : A Probabilistic Model for Information Storage and Organization in the brain (F. Rosenblatt)
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1 The Perceptron: : A Probabilistic Model for Information Storage and Organization in the brain (F. Rosenblatt) Artificial Intelligence Heo, Min-Oh
2 Outline Introduction Probabilistic model on biological Perceptron Predominant phase Postdominant phase Two helpful approach Bivalent systems Temporal organizations Conclusion 3 major points
3 Two Main Questions Q1 : In what form is information stored, or remembered? Q2 : How does information contained in storage, or in memory, influence recognition and behavior?
4 Answers: 2 positions (1) The 1 st position coded representations or images 1-to-1 mapping between sensory stimulus and the stored pattern Able to discover exactly what an organism remembers by reconstructing the original sensory patterns Recognition : matching or systematic comparison of the contents of storage with incoming sensory patterns
5 Answers: 2 positions (2) The 2 nd position The images of stimuli may never be recorded at all. There is never any simple mapping of the stimulus into memory. The information is contained in connections or associations. Recognition : Automatically activating the response without requiring any separate process for their recognition or identification.
6 What is the writer going to do? The need for a suitable language for the mathematical analysis of events. Formulate the current model of perceptron in terms of probability theory.
7 Assumptions for perceptron(1) 5 Assumptions 1. At birth, the construction of the most important networks is largely random, subject to a minimum number of genetic constraints. 2. The probability is likely to change, due to some relatively long-lasting changes in the neurons. 3. Exposure to a large sample of stimuli, Similar thing will tend to form pathways to the same sets of responding cells. Dissimilar thing will tend to develop connections to different sets of responding cells.
8 Assumptions for perceptron(2) 4. The application of positive or negative reinforcement may facilitate or hinder whatever formation of connections is currently in progress. 5. Similarity depends on physical organization of the perceiving system.
9 Modelling Connection Excitatory Inhibitory Level S-Points : stimuli impinge on a retina of sensory units A-Units : impulse are transmitted to a set of association cells R-Units : the Response cells which respond as the A-units. Two phase Predominant Phase Postdominant Phase
10 Models of systems 3 types of systems. Alpha system : an active cell simply gains an increment of value for every impulse, and hold this gain indefinitely. Beta system : the increments being apportioned among the cells of the source-set in proportion to their activity. Gamma system : active cells gain in value, so that the total value of source-set is always constant.
11 Predominant Phase(1) Probability : the Expected proportion of A-units activated by a stimulus of a given size
12 Predominant Phase(2) Conditional Probability : an A-unit which responds to a given stimulus will also respond to another given stimulus
13 Predominant Phase(3) : stability
14 Predominant Phase(4) : learnable
15 Postdominant Phase(1) Mathematical Model for learning Reinforcement learning Two Probabilities Pr : the perceptron will show a bias towards the correct response in preference to any given alternative response. Pg : the Probability of correct generalization. The probability that the correct response will be preferred over all alternatives is designated Pr or Pg.
16 Postdominant Phase(2) : able to find probability Pr, Pg to unity.
17 Two helpful approach Bivalent systems Two types of reinforcement are possible ( positive and negative ) Temporal organizations If the values of the A-units are allowed to decay at a rate proportional to their magnitude, The perceptron becomes capable of spontaneous concept formation. Spontaneously recognize the difference between the two classes.
18 Conclusion 3 major points to behaviorism Parsimony characteristics can clearly be stated. Have potentially measurable physical correlate. Verifiability We can be considerably more confident of its validity and of its generality than in the case of a theory which must be hand-tailored to meet each situation Explanatory power and generality
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