The book Learning As the Evolution of Representation was written by author Pasquale Caianiello Here you can read free online of Learning As the Evolution of Representation book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Learning As the Evolution of Representation a good or bad book?
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Will now quant* the extra information needed. Theorem 1 shows that there is an equivalence between C' and 5^, so we can indifferently consider any of the two. Let Ie5^, ^(l) = c. -C The additiona^ information to determine which symbol c, stands for is given by z(c. ). Its expected value is -c 7==c, o c\ ceC Then we have to multiply that value for {sf, the expec^ted cost of the codeword ^{s). We finally get that the information per symbol of T is i(r^) + l^sf {Cf (3. 6) We ofT^ only need to mult...iply it by N' to get the expected cost of an optimal encoding 0PT-{T^) = N' (z(r^) + {Sf' (cf) ^^-^^ Now, using 3. 1 we get OPr"(T^) = ^i(I) + (^)^(^)^ (S) t' 53 (3. 8) We have proved the following: Theorem 4 Let B = S U C and T be an alphabet and a text over an alphabet A. The compression coefficient of B for T is \r{B) = -^ + {Cf The reader can get an intuition about how the classification allows a further gain in compression by considering that it causes a decrease in the number of symbols of the alphabet that is being constructed.
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