Information and Coding Theory and Applications
Organizer: D. S. Hooda J. P. Institute of Engineering and Technology, Guna, MP, India, ds_hooda@yahoo.co.in
Chair: D. S. Hooda J. P. Institute of Engineering and Technology, Guna, MP, India, ds_hooda@yahoo.co.in
Description: Previously information theory used to be
considered a branch of communication theory as it answers two
fundamental questions in communication theory: What is the ultimate
data compression and what is the ultimate transmission rate of
communication? But now it has made enormous contributions to
statistical physics, computer science, and statistical inference and
to probability and statistics.
Modern work on communication aspects of information theory has
concentrated on network information theory: the theory of the
simultaneous rates of communication from many senders to many
receivers in a communication network. Some of the trade-offs of rates
between senders and receivers are unexpected, and all have
mathematical simplicity. A unifying theory, however, remains to be
found out.
There is a strong relationship between algorithmic complexity and
computational complexity. One can think about computational complexity
and Kolmogorov complexity as there are two axes corresponding to
program running time and program length. Kolmogorov complexity focuses
on minimizing along the first axis. There is a lot of scope to work on
the simultaneous minimization of the two.
Jaynes' maximum entropy principle, Kullback-Leibler's minimum
cross entropy principle and minimum loss of information principle are
important principles. These principles can be generalized by using the
generalized measures of entropy and cross entropy in place of Shannon'
entropy and Kullback-Liebler' cross entropy. Reliability theory,
marketing, measurement of risk in investments, quality control, log
linear models, etc., are the areas where the generalized optimization
principles can find applications.
Speakers:
- Lower and Upper Bounds Code Length D.S.Hooda, Jaypee Institute of Engineering and Technology, Guna(INDIA)
- Applications of InformationLo Theory in Generalized Additive Models Hong Gu , Department of Math. & Stat., Dalhousie University, Halifax,USA.
- Random Testing and Information Measures Maedeh Raznahan, Department of statistics, Islamic Ajad University, North Tehran Branch.
- The Discovery of Goldbach Conjecture Code and Proof of Conjecture QingHui Chen, Goldbach Conjucture Research, W153 711 USA.
- Bounds on Two Generalized Cost Measures D.K.Sharma, Jaypee Institute of Engineering and Technology, Guna(INDIA)
- The Convex Set of Fuzzy Random Vectors Qiao Zhong, Economies Mangement College, China Agriculture University, China.
- Optimum Synchronized Codes - Gaussian Sources Rajiv K. Tripathi, Jaypee Institute of Engineering and Technology, Guna(INDIA)
