Objective
Optimization over probability measures has become a powerful approach for solving complex problems
that involve probabilistic modeling. Advanced by the PI and collaborators, it extends finite-dimensional
optimization to the infinite-dimensional space of probability measures. This framework provides a princi-
pled way to address in particular the task of sampling, that refers to the process of drawing samples from
a complex probability distribution, either to approximate it or generate new data. In Bayesian machine
learning for instance, we can model uncertainty of the predictions by sampling a model’s parameters.
Similarly, in generative modeling, sampling is crucial for producing new data such as images or text.
Existing methods struggle with complex measures, are difficult to evaluate, and are limited to Euclidean
spaces, making them unsuitable for infinite-dimensional ones like functions or operators. Also, their lack
of computational efficiency limits their use in sequential sampling tasks. My goal is to create a unified
framework to design and evaluate efficient methods for sampling measures over general spaces.
Central to my approach is the use of tools from optimal transport and information geometry, which will
help compare measures and design optimization dynamics. OptInfinite will advance optimization over
measures by addressing two key challenges: 1) developing optimization objectives and geometries suited to
the space of measures over general (possibly-infinite-dimensional) spaces to design tractable schemes and
metrics, and 2) learning to solve advanced optimization problems, such as sequences of optimization tasks.
This framework will yield novel sampling methods, whose efficiency can be evaluated using optimization
tools. It will also enable to compare measures and reveal where and how they are different. Ultimately,
our work will provide a clear methodology and toolset applicable across multiple domains.
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.
You need to log in or register to use this function
We are sorry... an unexpected error occurred during execution.
You need to be authenticated. Your session might have expired.
Thank you for your feedback. You will soon receive an email to confirm the submission. If you have selected to be notified about the reporting status, you will also be contacted when the reporting status will change.
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.
-
HORIZON.1.1 - European Research Council (ERC)
MAIN PROGRAMME
See all projects funded under this programme
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.
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.
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
See all projects funded under this funding scheme
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) ERC-2025-STG
See all projects funded under this callHost institution
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.
91120 Palaiseau
France
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.