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Statistical Optimality and Computational Efficiency: batch and sequential unsupervised learning under additional structure and sampling constraints

Project description

Accuracy and speed in AI

Unsupervised learning enables AI to uncover hidden patterns in data without human guidance. It does this by searching for patterns in unlabelled data, such as clustering customers to ranking preferences. However, current methods require too much computer power. In some cases, small changes in a model can break old assumptions. The ERC-funded SOCE project aims to address these limits. It will study fundamental trade-offs between statistical accuracy and computational efficiency, across problems such as robust clustering and ranking. Moving beyond batch settings, SOCE will examine active, sequential learning under sampling constraints. By developing new mathematical tools and algorithms, the goal is to clarify what can and cannot be learned from complex data.

Objective

Unsupervised learning is a key problem of artificial intelligence, at the crossroad of statistics and machine learning. The aim is to infer patterns from unlabelled data, by providing learning algorithms that are computationally efficient - i.e. polynomial time - and statistically performant - i.e. minimising an error criterion - and by characterising the fundamental limits for learning.

In the last decade, deep and important phenomena of statistical-computational trade-offs have been unveiled: for some canonical vanilla problems, it is now admitted that no algorithm is both statistically optimal and computationally efficient. However, and somewhat surprisingly, many extensions of these commonly admitted conjectures to other models that present slight variations have been recently proven wrong. The reason is that these model variations give rise to additional structure. This could be a blessing if it can be exploited by a well chosen computationally efficient algorithm, or a curse if it confuses any such algorithm. So that many
fundamental unsupervised learning problems, like robust or hierarchical clustering as well as ordering models like ranking or seriation, are poorly understood.

Beyond this, in modern applications like recommender systems, unsupervised learning is often done in a sequential active way, as a complement to batch learning. Yet, efficient algorithms and the understanding of their limits are also vastly lacking, in particular in the presence of additional structure. And active learning is often done under sampling constraints, which adds a layer of model variations with respect to batch learning.

In SOCE, I will tackle these complex unsupervised learning problems, which are not well understood despite their importance. I will go from batch to active unsupervised learning, and study their interface through sampling constraints. I will develop new mathematical tools and algorithms that will be instrumental for a systematic study of these problems.

Fields of science (EuroSciVoc)

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Keywords

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Programme(s)

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Topic(s)

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Funding Scheme

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

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(opens in new window) ERC-2025-COG

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Host institution

UNIVERSITAET POTSDAM
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.

€ 1 979 797,00
Address
AM NEUEN PALAIS 10
14469 Potsdam
Germany

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Region
Brandenburg Brandenburg Potsdam
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.

€ 1 979 797,00

Beneficiaries (1)

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