کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
393092 665566 2013 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The memory center
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
The memory center
چکیده انگلیسی

As we know, the length of binary code of a point x∈Rx∈R (with accuracy h > 0) is approximately mh(x)≈log2max1,xh. We will consider the problem where we should translate the origin a of the coordinate system so that the mean amount of bits needed to code a randomly chosen element from a realization of a random variable X   is minimal. In other words, we want to find a∈Ra∈R such thatR∋a→E(mh(X-a))R∋a→E(mh(X-a))attains minimum.We show that under reasonable assumptions the choice of a does not depend on h asymptotically. Consequently, we reduce the problem to finding the minimum of functionR∋a→∫Rln(|x-a|)f(x)dx,R∋a→∫Rln(|x-a|)f(x)dx,where f is the density distribution of the random variable X. Moreover, we provide constructive approach for determining a.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 252, 10 December 2013, Pages 132–143
نویسندگان
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