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Information Theory with Uncertain Laws

Objective

Shannon's Information Theory paved the way for the information era by providing the mathematical foundations of digital information systems. A key underlying assumption of Shannon's key results is that the probability law that governing system is known, allowing to optimize the codebook and decoder accordingly.

There are a number of important situations where perfectly estimating the system law is impossible; in these situations the codebook and decoder must be designed without complete (or no) knowledge of the system law.
The vast majority of the Information Theory literature makes strong simplifying assumptions on the model. Theoretical studies that provide a general treatment of information processing with uncertain laws are hence urgently needed. For general systems, standard asymptotic techniques cannot be invoked and new techniques must be sought. A fundamental understanding of the impact of uncertainty in general systems is crucial to harvesting the potential gains in practice.

This project is aimed at contributing towards the ambitious goal of providing a unified framework for the study of Information Theory with uncertain laws. A general framework based on hypothesis testing will be developed and code designs and constructions that naturally follow from the hypothesis testing formulation will be derived.
This unconventional and challenging treatment of Information Theory will advance the area and will contribute to Information Sciences and Systems disciplines where Information Theory is relevant.

A comprehensive study of the fundamental limits and optimal code design with law uncertainty for general models will represent a major step forward in the field, with the potential to provide new tools and techniques to solve open problems in close disciplines. Therefore, the outcomes of this project will not only benefit communications, but also areas such as probability theory, statistics, physics, computer science and economics.

Fields of science (EuroSciVoc)

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Keywords

Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)

Programme(s)

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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.

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.

ERC-COG - Consolidator Grant

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Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

(opens in new window) ERC-2016-COG

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Host institution

UNIVERSIDAD POMPEU FABRA
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 1 213 654,24
Address
PLACA DE LA MERCE, 10-12
08002 Barcelona
Spain

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Region
Este Cataluña Barcelona
Activity type
Higher or Secondary Education Establishments
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Total cost

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.

€ 1 213 654,24

Beneficiaries (2)

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