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2023-06271 - PhD Position F/M PhD - Alternative algorithms for the simulation of lattice models

Contract type : Fixed-term contract

Level of qualifications required : Graduate degree or equivalent

Fonction : PhD Position

Level of experience : Recently graduated

Context

The position is open in a highly interdisciplinary context: the Inria MOSAIC team, composed of mathematicians, physicists and computer scientists specialized in the modeling and theoretical and numerical study of morphogenesis. The MOSAIC team is part of the laboratory of Plant Reproduction and Development of the Ecole Normale Supérieure de Lyon, whose expertise, ranging from molecular genetics to biophysical modeling and systems biology, is internationally recognized.
 
Stochastic lattice models are of constant interest to the scientific community, both for their fundamental properties and the wide variety of applications they offer, notably in statistical physics, computational biology and population ecology. Their numerical simulation often requires the use of MCMC (Markov chain Monte Carlo) techniques. The subject of this thesis is part of a project aiming at proposing alternative algorithms for the simulation of these models by studying and estimating the law of the contours formed by the nodes of the lattice having common characteristics.
 

Assignment

The objective of this thesis project is to explore alternative simulation techniques to MCMC methods for the simulation of stochastic lattice models. These will have to be validated both theoretically and numerically and be competitive with the algorithms from the literature on a number of models of interest. To this end, we will focus on modeling, estimating and simulating the contours formed by nodes of the lattice with common characteristics, which will require the development of specific methods for qualitative and quantitative comparison of configurations. A significant part of the project will be devoted to the development of an efficient and interactive simulation library.

Skills

* Technical skills and level required : Master/engineering degree in applied mathematics or computer science. Good programming skills.
* Languages : French / English
* Other valued appreciated : Probability, combinatorics, machine learning

Benefits package

  • Subsidized meals
  • Partial reimbursement of public transport costs
  • Leave: 7 weeks of annual leave + 10 extra days off due to RTT (statutory reduction in working hours) + possibility of exceptional leave (sick children, moving home, etc.)
  • Possibility of teleworking (after 6 months of employment) 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

Remuneration

1st and 2nd year: 2051 euros gross salary /month
 
3rd year: 2158 euros gross salary / month