PhD Position F/M Improving wave modeling and inversion in HPC framework

Updated: 9 days ago
Location: Pau, AQUITAINE
Job Type: FullTime
Deadline: 19 Feb 2026

20 Jan 2026
Job Information
Organisation/Company

Inria, the French national research institute for the digital sciences
Research Field

Computer science
Researcher Profile

First Stage Researcher (R1)
Application Deadline

19 Feb 2026 - 00:00 (UTC)
Country

France
Type of Contract

Temporary
Job Status

Full-time
Hours Per Week

38.5
Offer Starting Date

1 Mar 2026
Is the job funded through the EU Research Framework Programme?

Horizon Europe - ERC
Reference Number

2026-09731
Is the Job related to staff position within a Research Infrastructure?

No

Offer Description

We are opening a Ph.D. position in computer science as part of the ERC Starting Grant project Incorwave, which aims to develop advanced numerical and mathematical methods for passive seismic imaging. The research will focus on two key-directions: (1) the exploration of mixed-precision arithmetic in the context of high-order discontinuous discretization methods, and (2) the integration of machine learning techniques to complement and enhance traditional deterministic inversion approaches. Low-order arithmetic offers promises of important cost-reduction via the use of GPUs, and is commonly used in learning approaches, it has therefore become a central block of an efficient computational framework. The selected candidate will be able to collaborate closely with experts who will help guide the research direction. This work will contribute to the broader objective of improving passive seismic imaging by developing innovative computational frameworks for inversion. While initial development can be conducted using standalone toolboxes, the final product should be integrated into the high-performance code hawen (https://ffaucher.gitlab.io/hawen-website/ ) with the support of the development team, enabling their application to real-world applications.

The program will be divided into two main phases which corresponds to the mixed-precision arithmetic, and the investigation of learning techniques.

Phase 1: Mixed-precision HDG
The first phase concerns the use of mixed-precision arithmetic for Hybridizable discontinuous Galerkin (HDG) discretization. As the HDG involves several operations of (relatively small) dense matrices, mixed-precision and offloading should be emphasized. The first phase of the project will focus on the use of mixed-precision arithmetic within the framework of Hybridizable Discontinuous Galerkin (HDG) discretizations. Given that HDG methods inherently involve numerous operations on relatively small dense matrices, this phase will emphasize the potential of mixed-precision strategies and hardware offloading (e.g., to GPUs or specialized accelerators) to enhance computational efficiency without compromising numerical accuracy. In particular, since HDG methods rely on high-order polynomial approximations, special attention will be given to optimizing quadrature strategies, as they significantly impact both the performance and accuracy of the overall discretization scheme.

Phase 2: learning techniques in wave modeling and inversion
To address the inverse problem, we currently rely on a deterministic iterative optimization framework, which is computationally intensive as each iteration requires solving a potentially large-scale wave propagation problem. Moreover, the approach offers no guarantees regarding the global optimality of the solution, as we may fall into local minima. The objective of this research axis is to enhance the existing inversion framework by integrating learning-based strategies aimed at (1) reducing the overall computational cost, and (2) improving the quality and robustness of the reconstructed models. In particular, learning-based regularization techniques will be explored to guide the inversion process. For instance, generative models (e.g., variational autoencoders or generative adversarial networks) can be employed to learn low-dimensional priors from data, enabling the inversion to operate within realistic media. This data-driven regularization mitigates the ill-posedness of the inverse problem.

The work program of the first part is as follow
- Extract a mini-app from Hawen related to the HDG matrix creation. This gives flexibility to the candidate with its own light framework to investigate the code.
- Investigate mixed-precision operations and efficient parallelism for (1) high-order quadrature rules, and (2) HDG dense-matrix operations.
- With the help of the developer's team, propagate the key-finding into the main app Hawen.

We envision the following for the second part:
- Learning-based regularization and their efficient combination with standard algorithm. Use of genetic algorithm to avoid local minima?
- Representation / Improvement of a given reconstruction (considered as an image) from apriori information (the measured data-set, simulations, map of uncertainty).


Where to apply
Website
https://jobs.inria.fr/public/classic/en/offres/2026-09731

Requirements
Skills/Qualifications

Candidate profile

- Master degree Computer Sciences.

- Experience in scientific programming (e.g., Python, C++, Fortran, Julia) and parallelization.


Languages
FRENCH
Level
Basic

Languages
ENGLISH
Level
Good

Additional Information
Benefits
  • Subsidized meals
  • Partial reimbursement of public transport costs
  • Possibility of teleworking and flexible organization of working hours
  • Professional equipment available (videoconferencing, loan of computer equipment, etc.)
  • Social, cultural and sports events and activities
  • Access to vocational training
  • Social security coverage

2300€ / month (before taxs)


Selection process

Thank you to send:
- CV
- Cover letter
- Master marks and ranking
- Support letter(s)


Website for additional job details

https://jobs.inria.fr/public/classic/en/offres/2026-09731

Work Location(s)
Number of offers available
1
Company/Institute
Inria
Country
France
City
Pau
Geofield


Contact
City

LE CHESNAY CEDEX
Website

http://www.inria.fr
Street

Domaine de Voluceau - Rocquencourt
Postal Code

78153

STATUS: EXPIRED

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