Project description
IP scoring rules: foundations and applications
The theory of imprecise probability (IP) is applicable when information is scarce, vague, unspecific or conflicting. IP methods have been in place for more than 25 years and have proven successful in practice. But these methods lack rigorous accuracy-centred, philosophical justifications. The EU-funded EPIMP project will develop scoring rules to measure the accuracy of IP distributions and use them to justify and extend IP methods. In particular, IP scoring rules will be used to find novel methods for selecting and updating IP distributions. They will also be used to create new deference and aggregation principles for IP distributions.
Objective
Scientific inference is principally a matter of using observable data to estimate the parameters of models of interest, e.g. models of the climate system. In traditional Bayesian statistics, uncertainty about model parameters is quantified using a single, precise probability distribution. This approach has proved extremely successful in applications where data is plentiful and model parameters are few. But many models are high dimensional (thousands of parameters), and relevant data is comparatively sparse. In such contexts, imprecise probabilities are required to adequately capture uncertainty. The mathematical foundations of imprecise probability theory (IP) have been in place for 25 years, and IP has proved successful in practice. But IP methods lack rigorous accuracy-centered, philosophical justifications. Traditional Bayesian methods can be justified using epistemic scoring rules, which measure the accuracy of the estimates that they produce. But there has been little work extending these justifications to the IP framework. Thus, the key aim of the proposed research is to develop scoring rules for IP distributions (IP scoring rules), and use them to justify and extend IP methods. There are four main objectives: (1) characterise reasonable IP scoring rules; (2) derive scoring-rule based justifications for existing IP methods; (3) use IP scoring rules to discover novel methods for selecting and updating IP distributions; (4) use IP scoring rules to engineer new deference and aggregation principles for IP distributions. Objectives 1 and 2 will deliver firm foundations for existing IP methods. Objectives 3 and 4 will extend the range of IP methods available for both individual and group inquiry. The results of this project will not only make IP a central focus in contemporary epistemology, and shape ongoing philosophical debates about IP’s role in inference and decision-making, but also furnish new tools aimed at influencing how IP methods are used in practice.
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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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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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H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC)
MAIN PROGRAMME
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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.
ERC-STG - Starting Grant
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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-2019-STG
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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.
BS8 1QU BRISTOL
United Kingdom
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.