Project description
Arbitrary scaling laws in information theory
Shannon’s 1948 paper established the foundations of digital communication, introducing the concept of rate as the growth of messages. The probabilistic law governing general information processing systems may be such that the optimal number of messages does not scale exponentially with the length of the sequences. Most literature overlooks alternative scaling functions. Understanding these scaling laws is crucial for improving system design. The ERC-funded SCLIT project will create a unified framework for studying information theory with arbitrary scaling laws by utilising information spectrum techniques and concentration methods. In addition, it will address penalties due to suboptimal decoding and develop coding solutions that approach theoretical limits. This innovative approach will advance information theory and its applications in information sciences and systems.
Objective
Shannon’s 1948 paper established the mathematical foundations of digital compression and transmission and paved the way for the information age. A notion embedded in Shannon’s and most work in Information Theory is the concept of rate, defined as the exponential growth rate of the number of messages. The probabilistic law governing general information processing systems may be such that the optimal number of messages does not scale exponentially with the length of the sequences. The vast majority of the Information Theory literature assumes an exponential number of messages and thus, ignores the rich amount of possible scaling functions in important settings. When the system probability law is such that the optimal rate scaling is not exponential, standard techniques cannot be applied and new techniques must be sought. A fundamental understanding of the impact of general scaling laws is crucial to harvesting the potential gains in practical system design. This project is aimed at contributing towards the ambitious goal of providing a unified framework for the study of Information Theory with arbitrary scaling laws. The unified framework will be based on information spectrum and concentration techniques will also consider the penalties incurred by sub-optimal decoding for systems described by general probabilistic laws. The project will also provide coding solutions that approach the theoretical limits. 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 general scaling laws 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.
Fields of science (EuroSciVoc)
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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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Keywords
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Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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.
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HORIZON.1.1 - European Research Council (ERC)
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Topic(s)
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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
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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.
HORIZON-ERC - HORIZON ERC Grants
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Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) ERC-2023-ADG
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08034 BARCELONA
Spain
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