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DIRECTEDINFO

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Investigating Directed Information

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 rat... ver más

31/07/2019

BGU

1M€

Presupuesto del proyecto: 1M€

Líder del proyecto

BENGURION UNIVERSITY OF THE NEGEV No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Fecha límite participación Sin fecha límite de participación.

Financiación concedida El organismo FP7 notifico la concesión del proyecto el día 2019-07-31 No tenemos la información de la convocatoria

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BGU

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Líder del proyecto

BENGURION UNIVERSITY OF THE NEGEV No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 1M€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto 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

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