variable length coding information theory results ii

... cooperative game theory, certain properties of the rate regions follow from appropriate information inequalities In the case of Slepian-Wolf coding and multiple access channels, these results are ... context, further results, and applications Related results for minimax linear smoothing and rate distortion theory on classes of sources were given by Poor [46,47] and to channel coding with model ... contains some concluding remarks 2 A REVIEW OF COOPERATIVE GAME THEORY The theory of cooperative games is classical in the economics and game theory literature and has been extensively devel-oped The

Ngày tải lên: 21/06/2014, 23:20

... that there are not integral analogs of results from2 Moreover, inSection 3 we will show that previous results have their integral analogs 3 Integral results The following theorem is very useful ... pagesdoi:10.1155/2008/305623 Research Article On Logarithmic Convexity for Power Sums and Related Results II J Peˇcari ´c 1, 2 and Atiq ur Rehman 1 1 Abdus Salam School of Mathematical Sciences, GC ... Inequalities and ApplicationsWe introduced the Cauchy means involving power sums Namely, the following results were obtained in2 For r < s < t, where r, s, t∈ R, we have Δs t −r ≤ Δr t −s Δt

Ngày tải lên: 22/06/2014, 02:20

... for classi-fication 3 MUTUAL INFORMATION FOR FEATURE SELECTION As a basic concept in information theory, entropyH(X) is used to measure the uncertainty of a random variable (rv)X. IfX is a discrete ... spaces is selected using the information theory, which is then subjected to generalized discriminant analysis (GDA) for class separability enhance-ment The experimental results show that 200 features ... Pages 1 11DOI 10.1155/ASP/2006/30274 Information Theory for Gabor Feature Selection for Face Recognition Linlin Shen and Li Bai School of Computer Science and Information Technology, The University

Ngày tải lên: 22/06/2014, 23:20

... Trang 1ECE 776 Information Theory Capacity of Fading Channels with Channel Side Information Andrea J Goldsmith and Pravin P Varaiya, Professor ... to using only receiver side information.  We can view these results as a tradeoff between capacity and complexity  The adaptive policy with transmitter side information  requires more complexity ... information conditions:  Fading channel with channel side information at the transmitter and the receiver.  Fading channel with channel side information at the receiver alone. Trang 3System Model

Ngày tải lên: 15/07/2014, 22:00

... use of previous publications: Chapter 6 is based on his 1975 paper \A theory of program size formally identical to information theory" published in volume 22 of the Journal of the ACM, copyright ... thermodynamics of information should be as rich in philosophical consequence as thermo-dynamics itself This quantitative theory of description and computation, or Com-putational Complexity Theory as ... properties associated with the random sequences of classical probability theory, the theory of describability developed in Part II of the present work yields a very interesting new view of the notion

Ngày tải lên: 13/08/2014, 02:20

... \association list" in which variables (atoms) and theirvalues (S-expressions) alternate If a variable appears several times,only its rst value is signicant If a variable does not appear in theenvironment, ... body of the function b in theenvironment resulting from concatenating a list of the form (variable1argument1 variable2 argument2::: ) and the environment of the origi-nal S-expression, in that order ... characters is chosen to be a power of two in order tosimplify the theoretical analysis of LISP in Part II Trang 5In LISP the atom 1 stands for \true" and the atom 0 stands for\false." Thus a

Ngày tải lên: 13/08/2014, 02:20

... input in VARIABLES, ARGUMENTS, ALIST, output in ALIST PUSH LINKREG BIND: SET SOURCE LINKREG L233: JUMP LINKREG2 PUSH_ROUTINE ATOM VARIABLES,UNWIND any variables left to bind? L234: NEQ VARIABLES ... SPLIT_ROUTINE L187: SET FUNCTION TARGET2 POPL VARIABLES,FUNCTION pick up variables L188: SET SOURCE FUNCTION L189: JUMP LINKREG3 SPLIT_ROUTINE L190: SET VARIABLES TARGET L191: SET FUNCTION TARGET2 ... C'(' UNWIND L235: SET WORK VARIABLES L236: RIGHT WORK L237: EQ WORK C')' UNWIND L238: SET SOURCE VARIABLES L239: JUMP LINKREG3 SPLIT_ROUTINE L240: SET X TARGET L241: SET VARIABLES TARGET2 L242:

Ngày tải lên: 13/08/2014, 02:20

... properties of the entropy concept of informationtheory What train of thought led us to this denition? Following [Chaitin (1970a)], think of a computer as decoding equipment at the receivingend ... unless the contrary is explicitly stated As before, jsj is the length of the string s The variables p, q, s, and t denotestrings The variables c, i, k, m, and n denote non-negative integers #(S) ... concepts mix terminology from information ory, from probability theory, and from the eld of computational com-plexity H(s) may be referred to as the algorithmic information content the-ofs or

Ngày tải lên: 13/08/2014, 02:20

... a formal theory all of whose theorems are assumed to be true Within such a formal theory a specic string cannot be proven to have information content more thanO(1) greater than the information ... that if a theory has information content n, then there is a program of sizen+O(1) that never halts, but this fact cannot be proved within the theory Conversely, there are theories with information ... axioms of the theory I.e., if \H(s)  n" is a theorem only if it is true, then it is a theorem only if n  H(axioms) + O(1) Conversely, there are formal theories whose axioms have information

Ngày tải lên: 13/08/2014, 02:20

... Noisy-Channel Coding Theorem 11 Error-Correcting Codes and Real Channels III Further Topics in Information Theory 13 Binary Codes 14 Very Good Linear Codes Exist 15 Further Exercises on Information Theory ... Noisy-Channel Coding Theorem 11 Error-Correcting Codes and Real Channels III Further Topics in Information Theory 13 Binary Codes 14 Very Good Linear Codes Exist 15 Further Exercises on Information Theory ... Error-Correcting Codes and Real Channels III Further Topics in Information Theory 13 Binary Codes 14 Very Good Linear Codes Exist 15 Further Exercises on Information Theory 16 Message Passing 17 Constrained

Ngày tải lên: 13/08/2014, 18:20

... how much information have theoutcomes so far given you, and how much information remains to be gained? (d) How much information is gained when you learn (i) the state of aflipped coin; (ii) the ... 15The Source Coding Theorem 4.1 How to measure the information content of a random variable? In the next few chapters, we’ll be talking about probability distributions and random variables Most ... is, for independent random variables x and y, the information gained when we learn x and y should equal the sum of the information gained if x alone were learned and the information gained if y

Ngày tải lên: 13/08/2014, 18:20

... thecompressed strings’ lengths for the case N = 1000 [H2(0.1)' 0.47] Exercise 6.18.[3 ] Source coding with variable-length symbols In the chapters on source coding, we assumed that we wereencoding into ... 123Symbol codes (Chapter 5) Symbol codes employ a variable-length code for each symbol in the source alphabet, the codelengths being integer lengthsdetermined by the probabilities of the symbols ... aid for exploring arithmetic coding, dasher.tcl, is available.2 A demonstration arithmetic-coding software package written by Radford Neal3 consists of encoding and decoding modules to which the

Ngày tải lên: 13/08/2014, 18:20

... 11Part IIIFurther Topics in Information Theory Trang 12About Chapter 12In Chapters 1–11, we concentrated on two aspects of information theory and coding theory: source coding – the compression of information ... independent random variables, and variances add for independent random variables The mutual information is: Solution to exercise 11.4 (p.186) The capacity of the channel is one minus the information ... possibilities of coding We then discussed practical source-coding and channel-coding schemes, shift-ing the emphasis towards computational feasibility But the prime criterion for comparing encoding schemes

Ngày tải lên: 13/08/2014, 18:20

... a simple modification to our variable-length encoding and offer such a guarantee, as follows We find two codes, two mappings of binary strings to variable-length encodings, having the property ... approximations to the optimal variable-length solution One might dislike variable-length solutions because of the resulting unpredictability of the actual encoded length in any particular case ... transmitted length using a code that omits the redundant zeroes in C1 Code C2 1 10 C2 is such a variable-length code If the source symbols are used with equal frequency then the average transmitted length

Ngày tải lên: 13/08/2014, 18:20

... Distributions over periodic variables A periodic variable θ is a real number∈ [0, 2π] having the property that θ = 0 and θ = 2π are equivalent A distribution that plays for periodic variables the role ... by a rubber band Exercise 23.1.[1 ] Pick a variable that is supposedly bell-shaped in probability distribution, gather data, and make a plot of the variable’s empiricaldistribution Show the distribution ... marginalization: first, marginalization over continuous variables (sometimes known as nuisance parameters) by doing integrals; and second, summation over discrete variables by message-passing Exact marginalization

Ngày tải lên: 13/08/2014, 18:20

... a The information learnedabout P (x) after the algorithm has run for T steps is less than or equal tothe information content of a, since all information about P is mediated by a And the information ... is helpful to identify the channel through which this information flows, and maximize the rate of information transfer Example 30.4 The information-theoretic viewpoint offers a simple justification ... value x(t+1)i of the current variable xi from its conditional distribution, ignoring the old value x(t)i The state makes lengthy random walks in cases where the variables are strongly correlated,

Ngày tải lên: 13/08/2014, 18:20

... Noisy Channel 11 What is Information Theory? Information theory provides a quantitative measure of source information, the information capacity of a channel  Dealing with coding as a means of utilizing ... 12/12/13 13 Information measure  Consider the three results: win, draw, loss Cases Barca wins No information ≈1, quite sure Barca draws with GĐT-LA More information Relatively low  Information ... that the information can be transmitted over the channel with an arbitrarily small probability of error, despite the presence of error”  12/12/13 12 Information measure  Information Theory: ...

Ngày tải lên: 12/12/2013, 14:15

... INFORMATION THEORY 5.2 MUTUAL INFORMATION 5.2.1 Definition using entropy Mutual information is a measure of the information that members of a set of random variables have on the other random variables ... According to the fundamental results of information theory, entropy is very closely related to the length of the code required Under some simplifying assumptions, the length of the shortest code ... With this encoding the average number of bits needed for each outcome is only 2, which is in fact equal to the entropy So we have gained a 33% reduction of coding length 108 INFORMATION THEORY 5.1.3...

Ngày tải lên: 13/12/2013, 14:15

... Teichmüller theory, the result is attributed to Ahlfors and Bers, who published it in their paper Riemann’s Introduction to Teichmüller theory, old and new, III mapping theorem for variable metrics ... results presented here are valid for Teichmüller and moduli spaces with respect to several of their known metrics Introduction to Teichmüller theory, old and new, III 31 Before stating the results ... 857 Introduction to Teichmüller theory, old and new, III Athanase Papadopoulos Contents Part A The metric and the analytic theory, 1.1 The Beltrami equation...

Ngày tải lên: 05/03/2014, 11:20

... able to: • Explain the operation of variable- length subnet masks on Cisco routers © 2002, Cisco Systems, Inc All rights reserved ICND v2.0—5-3 What Is a Variable- Length Subnet Mask? • Subnet 172.16.14.0/24 ... Variable- Length Subnet Masks ©© 2002, Cisco Systems, Inc All rights reserved 2002, Cisco Systems, Inc ... • When an IP network is assigned more than one subnet mask, it is considered a network with variable- length subnet masks, overcoming the limitation of a fixed number of fixed-size subnetworks...

Ngày tải lên: 06/03/2014, 15:20