Objective
This research investigates a new measure that arises in information theory
called directed information. Recent advances, including our preliminary results, shows that
directed information arises in communication as the maximum rate that can be transmitted reliably
in channels with feedback. The directed information is multi-letter expression and therefore very
hard to optimize or compute.
Our plan is first of all to find an efficient methodology for optimizing the measure using the
dynamic programming framework and convex optimization tools. As an important by-product of
finding the fundamental limits is finding coding schemes that achieves the limits. Second, we
plan to find new roles for directed information in communication, especially in networks with
bi-directional communication and in data compression with causal conditions. Third, encouraged by
a preliminary work on interpretation of directed information in economics and estimation theory,
we plan to show that directed information has interpretation in additional fields such as
statistical physics. We plan to show that there is duality relation between different fields with
causal constraints. Due to the duality insights and breakthroughs in one problem will lead to new
insights in other problems. Finally, we will apply directed information as a statistical
inference of causal dependence. We will show how to estimate and use the directed information
estimator to measure causal inference between two or more process. In particular, one of the
questions we plan to answer is the influence of industrial activities (e.g. $\text{CO}_2$
volumes) on the global warming.
Our main focus will be to develop a deeper understanding of the mathematical properties of
directed information, a process that is instrumental to each problem. Due to their theoretical
proximity and their interdisciplinary nature, progress in one problem will lead to new insights
in other problems. A common set of mathematical tools developed in
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
ERC-2013-StG
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Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Host institution
84105 Beer Sheva
Israel
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.