Ongeveer 14 uur geleden - Technische Universiteit Eindhoven - Eindhoven
Phd students on the subject of towards a quantitative theory of integer programming
We are looking for two talented and motivated students with a strong interest in the theory and practice of Integer Programming (IP). The research will be …
- Science Park, Amsterdam, Noord-Holland
- Tijdelijk contract / Tijdelijke opdracht
- Uren per week:
- 40 uur
- € 2291 - € 2937 per maand
We are looking for two talented and motivated students with a strong interest in the theory and practice of Integer Programming (IP). The research will be supported by the ERC grant "Towards a Quantitative Theory of Integer Programming". The goals of this research are (1) to develop a quantitative theory that can explain the effectiveness of the prevalent techniques used for solving IPs (e.g. branch & bound, cutting planes, diving heuristics, etc.), (2) to develop new and effective techniques for solving IPs and (3) to build new connections between the study of IP, theoretical computer science and optimization. The research projects are designed to be interdisciplinary and are expected to require combining techniques from various areas of optimization (first order methods, interior point methods, simplex algorithms), theoretical computer science (discrepancy theory, fixed parameter tractability, smoothed analysis) and geometry (convex geometry, geometry of Euclidean lattices). Some sample research questions include:
- Can one obtain non-trivial upper bounds on the size of branch & bound trees produced by standard branching rules?
- Is there a cutting plane based polynomial time approximation scheme for the metric traveling salesman problem? More generally, can one develop a cutting plane framework with provable convergence guarantees?
- Can one automate basic FPT algorithms using the branch & bound framework?
- Can one demonstrate the efficiency of the simplex method for solving related sequences of linear programs (as one would encounter within branch & bound or cutting plane generation)?
- Can one develop practical rounding heuristics using discrepancy minimization algorithms?
- Is there a 2O(n) -time algorithm for general integer programming?
Supervised by: Daniel Dadush (website)
The PhD candidate is required to have a strong background in at least one of the following areas: optimization, theoretical computer science or discrete mathematics. Research experience within the domain of IP (theory or practice) is a plus. The most important qualification however is an open mind and the ability to pick up new material quickly. Candidates are expected to have an excellent command of English, and good academic writing and presentation skills. The PhD candidate will be expected to conduct research on topics relevant to the above agenda, to publish this research at either top conferences or journals, and defend a PhD thesis within 4 years.
The terms of employment are in accordance with the Dutch Collective Labour Agreement for Research Centres ("CAO-onderzoeksinstellingen"). The initial labour agreement will be for a period of 18 months. After a positive evaluation, the agreement will extended by 30 months. The gross monthly salary, for a PhD student on a full time basis, is €2,291 during the first year and increases to €2,937 over the four year period.
Employees are also entitled to a holiday allowance of 8% of the gross annual salary and a year-end bonus of 8.33%. CWI offers attractive working conditions, including flexible scheduling and help with housing for expat employees.
Please visit our website for more information about our terms of employment: https://www.cwi.nl/jobs/terms-of-employment.
Applications can be sent before December 15th, 2018. Promising candidates will be interviewed towards the end of January or beginning of February (preferably at CWI, otherwise by video conference if that is not possible). The positions will be available to start in mid to late February. While the exact starting date is flexible, the candidate must be available to start before the end of 2019.
All applications should include:
- A detailed CV including a summary of technical and scientific experiences and –if available- a copy of the applicant's Master's thesis. If applicable, the CV may contain detailed descriptions of previous research projects, a list of publications, and/or presentations at scientific meetings.
- A letter of motivation including research interests, reasons for applying for this position.
- Undergraduate level certificates including university grades and the detailed list of university courses (with grades).
- One letter of recommendation from a reference who is acquainted with the applicant's previous academic and/or research/professional activity.