Satosi Watanabe

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All the basic laws of the tradit ional logic can be derived from the characterist ic function f(A/a) which is 1 or 0 according as object a satisfies predicate A or not. There is good reason to believe that i t is worthwhile to extend this formalism to the case where f(A/a) can take any value in the continuous domain [0, 1]. The implications of this(More)
Reinforcement Learning Methods (RLMs) typically select candidate solutions stochastically based on a credibility space of hypotheses which the RLM maintains, either implicitly or explicitly. RLMs typically have both inductive and deductive aspects: they inductively improve their credibility space on a stage-by stage basis; they deductively select an(More)
Learning in its cognitive aspect, ’ as distinct from its behavioral aspect, is a process characterized at least in its later stage by a gradual reduction of the number of alternatives from which the answer is to be selected to respond to a given question, until eventually one of the alternatives is established as the unique answer. It also happens in some(More)
Pattern recognition is our mental activity in which we formulate, select, modify, and adjust our concepts or our frames of reference so that we can see a ``form'' in objects. We can tentatively formulate this viewpoint as the principle of minimum entropy (or entropy-like function). Different algorithms in clustering and pattern recognition are given new(More)