It is best not read the answers until you've tried to answer the questions yourself.
Answer: In supervised learning, training patterns giving inputs and the corresponding correct outputs are available, while in unsupervised learning, the system must find interesting and/or significant patterns in the data without any feedback as to what is "right".
Answer: into an array, whether 1-D, or 2-D, or 3-D or beyond. Being near to something in the sense of the arrays natural ordering is important in the SOM.
Answer: The competitive process.
Answer: Yes - the closer you are to the winning neuron, the more your weights change.
Answer: It decreases geometrically.
Answer: max(m, n)
Answer: A quantizer is an algorithm that finds, for each input vector, a nearby vector to represent the input vector. The quantizer then outputs a compact label that corresponds the representation vector (which is also known as a reconstruction vector).
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