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The Hardness of Finding Good Algorithms

Objective

"This is a project in Computational Complexity. The project aims to answer the following question:

How hard is it to find a good algorithm for a given computational problem?

This question can be asked in several different settings, depending on what one means by ""algorithm"" (what is the computational model?), ""computational problem"" (is it a decision problem? a search problem? a communication problem?), and by ""good"" (do we want an algorithm that uses little time? little memory? few logical gates?).

This question has a deep connection with the problem of proving lower-bounds, and in almost every setting where the question has been answered, either the answer was discovered while attempting to prove lower-bounds, or obtaining the answer required the development of new lower-bound methods. It is also known that several variants of the above question are equivalent to fundamental open questions in cryptography, pseudorandomness, and learning theory.

The goal of this project is to answer this question in various settings where the answer is unknown: in circuit complexity, communication complexity, data structures, and algebraic models of computation. For each of these settings, we will either provide explicit methods for finding efficient algorithms, or show that the problem of finding such efficient algorithms is NP-hard."

Fields of science (EuroSciVoc)

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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.

HORIZON-ERC - HORIZON ERC Grants

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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-2021-STG

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Host institution

FACULDADE DE CIENCIAS DA UNIVERSIDADE DE LISBOA
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.

€ 1 039 809,18
Address
CAMPO GRANDE C5 PISO 3
1749-016 Lisboa
Portugal

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Activity type
Higher or Secondary Education Establishments
Links
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.

€ 1 498 664,00

Beneficiaries (2)

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