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Expand Up @@ -70,9 +70,11 @@ you should probably apply to EDMA,
whereas if the project will be more on the side of
physical models / materials applications, you should apply to EDMX.

## Specific openings

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## Specific openings
Currently no specific openings to advertise.
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<!--
Expand Down Expand Up @@ -154,11 +156,26 @@ one of the aforementioned doctoral schools
before the contract can start.
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## PostDoc position: Quantifying uncertainties in first-principle material simulations
## PostDoc position: Gradient-accelerated inverse materials design

#### Background
In inverse materials design one wishes to discover novel materials
in a targeting fashion -- namely by systematically traversing
a design space for those material structures, which best match
the desired material properties.
Commonly such methods
employ a statistical surrogate (e.g. within a Bayesian Optimisation framework)
such that the search only requires few queries to an underlying physical model
-- typically a first-principle model based on density-functional theory (DFT).
Due to the non-linear nature of DFT such simulations
are not only costly, but advanced techniques based on employing gradient
information are generally not employed.
However, the advent of algorithmic differentiation (AD) techniques
in DFT codes,
such as our in-house [density-functional toolkit (DFTK)](https://dftk.org),
makes it now feasible to employ gradient-based approaches for materials design.

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One of the most widely used methods for
modelling solid-state systems from first principles
is plane-wave density-functional theory (DFT).
Expand All @@ -179,8 +196,24 @@ capabilities to the [density-functional toolkit (DFTK)](https://dftk.org),
our in-house Julia-based DFT code,
provides novel and so far unexplored opportunities
for inference and uncertainty propagation.
-->

#### Project goals
#### Project details
Within this project we will explore the opportunities
of gradient-based Bayesian optimisation
to accelerate inverse materials design.
In particular we will rely on the AD capabilities of DFTK
to integrate with recent advances with first-order
Bayesian optimisation procedures (e.g. [^1]).
Your work will be integrated with similar
efforts in our group, e.g. to develop
multi-task Gaussian Process surrogates[^2]
for materials modelling or to exploit analytical error
estimates within statistical surrogates.
Within ongoing collaborations with other materials simulation
groups at EPFL your advances can be directly developed
and tested within the scope of practical materials modelling problems.
<!--
The goal of this project is to investigate the opportunities
with respect to uncertainty quantification in DFT
enabled by AD. Due to the unexplored nature of this topic,
Expand All @@ -199,58 +232,68 @@ In collaboration with other researchers from our group
and the other materials simulation groups at EPFL
you will also work on scaling up your findings to the full DFT setting
and in this way provide first tests of your methods on application problems.
-->

#### Candidate profile
* You are motivated to tackle a challenging interdisciplinary research topic
and to substantially push the state of uncertainty quantification methods
for density-functional theory.
* You obtained your PhD in mathematics, statistics or a related subject.
* You have a strong background in Bayesian statistics
and worked on uncertainty quantification for physics or engineering simulations.
and push the state of Bayesian Optimisation methods
for inverse materials design.
* You obtained your PhD in statistics, computational mathematics or a related subject.
* You have an excellent academic track record and demonstrated prior research experience
working with Bayesian regression, multi-fidelity or multi-tasking methods
in Bayesian optimisation, experimental design or inverse problems
with an application in physics or engineering simulations.
<!--
with Bayesian regression, multi-fidelity or multi-tasking methods
or inverse problems.
-->
* You enjoy collaborating with researchers from a diverse background
and you look forward to acquiring the broad skillset required
and look forward to acquiring the broad skillset required
for cross-disciplinary research in materials modelling.
<!--
* You enjoy pen and paper analysis, but you are not afraid to implement and test your
ideas in practice.
* You have previously used Python, Matlab, R or Julia to conduct numerical experiments
or test your ideas in non-trivial settings.
-->
* You are experienced in working with larger scientific codes in a collaborative
software development environment. You have a solid experience with
the Julia programming language or you are fluent in a related language (Python, Matlab)
and are curious to code in Julia.
* You are fluent in written and oral English.
* You enjoy occasionally supervising undergraduate students on topics related to your research.
* Bonus skills for this application are considerable experience in
quantum-chemical or materials simulations, numerical linear algebra,
high-performance computing or Julia programming.
quantum-chemical or materials simulations or
high-performance computing.

#### What is offered
The activities of the MatMat group revolve around understanding
modern materials simulations from a mathematical point of view
-- and to come up with ways to make such simulations faster,
quantify their errors or make them more reliable.
-- and to come up with ways to make such simulations faster and quantify their errors.
You will become part of a young and energetic team,
fully integrated with both the mathematics and the materials institutes
as well as multiple cross-disciplinary initiatives,
such as the [NCCR MARVEL](https://nccr-marvel.ch/).
Within the proposed topic you will be able to bring in your prior expertise,
explore your ideas and grow substantially your background
in both the theory and practice of materials modelling.
For this you have access to a stimulating community of researchers
at EPFL's main campus beautifully located at the lake Geneva shore.
For disseminating your work funds to attend suitable conferences
and workshops as well as potential visits to our collaboration partners
all over the world are provided.
but also be able to get to know the exciting theory and practice of material modelling.
EPFL's main campus is beautifully located at the lake Geneva shore
hosting a stimulating community of interdisciplinary-minded researchers.
Funds to disseminate your work at suitable conferences
as well as potential visits to our international network of collaboration partners
are provided.

<!--
The position will be a fixed-term position (CDD) for initially 2 years,
renewable on a one-year basis. Further extensions depend on progress
renewable on a one-year basis.
-->
The position will be a fixed-term position (CDD) for initially 18 months.
Further extensions depend on progress
and the funding situation.
For more information on working at EPFL see also
the website on [current employment conditions](https://www.epfl.ch/about/working/working-at-epfl/employment-conditions).

#### Deadline and starting date
Initial screening will start 1st August 2023 and continue
Initial screening of candidates will start 1st August 2024 and continue
until a suitable candidate has been found.
The expected starting date is January 2024,
The expected starting date is late 2024,
but this can be negotiated in both directions.

-->
[^1]: J. Wu, M. Poloczek, A. Wilson, P. Frazier. [*Bayesian Optimization with Gradients.*](https://proceedings.neurips.cc/paper_files/paper/2017/file/64a08e5f1e6c39faeb90108c430eb120-Paper.pdf) NeurIPS (2017).
[^2]: K. Fisher, M. F. Herbst, Y. Marzouk. [*Multitask methods for predicting molecular properties from heterogeneous data.*](https://arxiv.org/pdf/2401.17898) Journal of Chemical Physics (2024). [arXiv:2401.17898](https://arxiv.org/pdf/2401.17898)

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