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High-dimensional approximation tasks are ubiquitous in all areas of scientific computing and data science, including the solution of partial differential equations (PDEs), machine learning and uncertainty quantification (UQ). With the recent success of deep Neural Networks (NNs) and tree Tensor Netw

Kinetic models are accurate descriptions of interacting particle systems in physics. However, their numerical resolution is often too demanding, as they are defined in the large-dimensional position-velocity phase space and involve multi-scale dynamics. For this reason, reduced models have been deve

The objective of the MC2 project is to develop and validate innovative numerical methods to accurately and efficiently capture the effect of urban complexity in coupled simulations of turbulent flow and heat transfers for weather and climate services. The new approaches developed aims at the scaling

High throughput DNA sequencing is now the main workforce for most genomics applications. They have already started to impact research and clinical use. Genome sequencing is now becoming a part of preventive and personalized medicine to identify, genetic mutations for rare disease diagnosis, or to de

In presence of abrupt (financial crisis or epidemics) or long-term (environmental or demographic) changes, one needs to use dynamic tools, to detect such changes from observable data, and to re-estimate models and risk quantification parameters, based on a dynamic and long-term view. Classical decis

In nature, a large number of systems and processes present non-linear and multi-scale structures and behaviors, and are thus considered as complex systems. Because of these properties, models aiming at describing or predicting the behavior of complex systems need to take into account high-order stat

Numerical tools simulating wave propagation phenomena are intensively used to address important industrial/societal challenges, such as aircraft noise reduction, electromagnetic compatibility testing and seismic risk assessment. When a limited number of frequencies have to be studied, frequency-doma

Designers use tolerance analysis to account for unavoidable uncertainties in the manufacturing of mechanical components while ensuring that quality requirements are met. However, the information available to designers is inherently imprecise because it is an early stage in the life cycle of a produc

Environmental needs are invigorating research interest in many engineering fields. A compelling example is provided by carbon-dioxide emissions, widely considered one of the main causes of global warming. This urgency extends to numerous applications including aeronautics, where it is recognized tha

Adaptive materials have additional sensing or actuating properties compared to conventional materials. Composites are key materials for many fields (transport, aeronautics, renewable energies, ...). Their combination allows the emergence of so-called "adaptive meta-composites". By integrating struct

The POESY project aims at improving the probabilistic prediction of high-impact weather (HIW) events with an innovative combination of standard physical modelling approaches and computationally-efficient Artificial Intelligence (AI) methods. Probabilistic prediction currently takes the form of small

The reliability of numerical predictions strongly rely on our ability to calibrate the unknown model parameters using observable data. Data assimilation is a particularly challenging task in ocean modelling because of the complexity of the computational models and because of the high-dimension of bo

Supercomputers’ massive processing power drives scientific discovery in many areas. As it increases, scientists attempt to solve larger and more complex problems. The amount of multivariate, time-varying data that large-scale numerical simulations generate increases considerably and rapidly. In addi

Coastal areas host around 10% of the world's population and a huge amount of economic activities. Climate change is expected to increase coastal flooding hazard in years to come. In this project, we propose to develop a numerical tool for the stormsurges predictions. For four years, a joint effort

Owing to the ever-growing resources available at supercomputing centers, High Performance Computing (HPC) analyses of flow configurations including several complex concurring aspects are becoming an established reality. Thus, the development of reliable numerical strategies capable to provide an acc