منابع مشابه
A Mathematical Theory of Generalization: Part II
A b st r a ct. The problem of how best to generalize from a given learning set of input-output examples is cent ral to the fields of neur al nets, statistics, approximation theory, and artificial intelligence. This series of pap ers inve stigates this problem from within an abst ract and mod elindepend ent fr amework and then test s some of the resultant concept s in real-world situations. In t...
متن کاملInformation Theory II
we require y = (α, . . . , α), α ∈ (0, 1]. If we now compare the size of these two subsets of [0, 1]n (actually, they are lines, see Figure 1), then we see that the latter is larger, i.e., the latter sequence xcase 2 is more likely than xcase 1. b) i) The check that (X1, . . . , Xn) indeed is an element of the given simplex is identical to a). ii) We define the set F = Fs as described in the pr...
متن کاملA new mathematical representation of Game Theory II
In another paper with the same name[1], we proposed a new representation of Game Theory, but most results are given by specific examples and argument. In this paper, we try to prove the conclusions as far as we can, including a proof of equivalence between the new representation and the traditional Game Theory, and a proof of Classical Nash Theorem in the new representation. And it also gives m...
متن کاملThe Mathematical Theory of Information , and Applications ( Version 2 . 0 )
These lecture notes introduce some basic concepts from Shannon’s information theory, such as (conditional) Shannon entropy, mutual information, and Rényi entropy, as well as a number of basic results involving these notions. Subsequently, well-known bounds on perfectly secure encryption, source coding (i.e. data compression), and reliable communication over unreliable channels are discussed. We...
متن کاملA Mathematical Theory of Identification for Information Fusion
This paper applies Shannon theory, which was established to describe a discrete general communications system, to a general identification system that is affected by noise (and jamming), the probability of a discrete event occurring (such as an object in a certain region of space), and most importantly, the entropy and dissonance of the information source. This paper analyzes the cause of the m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1958
ISSN: 0862-7940,1572-9109
DOI: 10.21136/am.1958.102607