Institutt for matematiske fag

– utgjør et nasjonalt tyngdepunkt i utdanning og forskning innen sine fagområder.

   


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FRINATEK-tildelinger

Støttet av Forskningsrådet. Logo.IMF har fått tildelt 2 nye prosjekt innenfor FRINATEK-programmet:

  • Complex analysis and dynamics (John Erik Fornæss)
  • Penalised Complexity-priors: A new tool to define default priors and robustify Bayesian models (Håvard Rue)
10. desember 2014

FRINATEK-tildelinger

Støttet av Forskningsrådet. Logo.IMF har fått tildelt 2 nye prosjekt innenfor FRINATEK-programmet:

  • Complex analysis and dynamics (John Erik Fornæss)
  • Penalised Complexity-priors: A new tool to define default priors and robustify Bayesian models (Håvard Rue)

Fakta

  • Fagkomiteen for matematikk, naturvitenskap og teknologi (FRINATEK) tildeler 292 millioner kroner i fri prosjektstøtte til 53 prosjekter innenfor matematikk, naturvitenskap og teknologi i 2015.
  • Til sammen var det søkt om 2,07 milliarder kroner for årene 2015 - 2019. Det innvilgede beløpet tilsvarer 14,1% av dette.

Tildelinger fordelt på søknadstyper

  • 22 av 182 forskerprosjekter
  • 13 av 78 unge forskertalenter
  • 5 av 29 personlig postdoktorstipend
  • 3 av 6 mobilitetsstipend
  • 10 av 10 arrangementsstøtte

Se forskningsrådets nettsider for flere detaljer.

 

Om prosjektene

Complex analysis and dynamics

John Erik Fornæss. Foto.

Newtons method is a classical approach to finding roots of polynomials P. This is an important tool in science and engineering. Complex dynamics takes into account that the roots Z might be complex numbers. One investigates those initial guesses of a root, W, such that the points given by Newtons method approaches Z. This can be done in higher dimension as well and gives rise to pseudoconvex sets. The systematic investigation of pseudoconvex sets is a basic part of higher dimensional complex analysis. This project is concerned with modern topics in complex dynamics, complex analysis and their interaction.

Penalised Complexity-priors: A new tool to define default priors and robustify Bayesian models

Håvard Rue. Foto.

A long lasting problem within Bayesian statistics, is the choice of prior distributions. Although various approaches have been suggested to approach this issue, the current practice among applied statisticians is not good. In this project we will develop a recent proof of concept idea of Penalised Complexity (PC) priors, which is a principled approach to construct priors. This approach constructs priors that are invariant to reparameterisations, are designed to support Occam's razor and seem to have excellent robustness properties.

We will develop this idea further and define default priors suitable for routine applied use. The priors and with them model robustness against possible model deviations can be controlled by the user in a transparent, consistent and intuitive way. Instead of considering each model component separately, the user needs only to provide an intuition about the linear predictor as a whole, which is then like a chain reaction transferred to the single model components.

The framework will be integrated into the program-system R-INLA for doing Bayesian inference in latent Gaussian models.

Intervju i StatsLife

Håvard Rue. Foto.

Intervju med Håvard Rue i StatsLife:
Streamlining Bayesian analysis: a Q&A with Håvard Rue

In statistical journals, every now and again a paper comes along that examines what seems like a very specific issue. But the discoveries made can have wide reaching applications in multiple fields, which even the original authors did not envisage.

One such paper was published in the RSS Series B journal in 2009. The paper was titled ‘Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations’, written by Håvard Rue, Sara Martino and Nicolas Chopin. The idea would later be given the abbreviation INLA.

15. desember 2014

Intervju i StatsLife

Håvard Rue. Foto.

Intervju med Håvard Rue i StatsLife:
Streamlining Bayesian analysis: a Q&A with Håvard Rue

In statistical journals, every now and again a paper comes along that examines what seems like a very specific issue. But the discoveries made can have wide reaching applications in multiple fields, which even the original authors did not envisage.

One such paper was published in the RSS Series B journal in 2009. The paper was titled ‘Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations’, written by Håvard Rue, Sara Martino and Nicolas Chopin. The idea would later be given the abbreviation INLA.

Their new INLA approach tried to find a different way of computationally analysing models that are too complex for normal Markov chain Monte Carlo (MCMC) methods. Subsequently, an R statistical software package was developed and this enabled the method to be applied in a diverse range of fields from econometrics to ecology.

In the years since its publication, new uses and tools for implementing the method have been developed and new applications are being discovered all the time. An online community has also been set-up to foster knowledge in the area.

Håvard Rue, who has led the project from the beginning, talked to us about how the method was developed and how interest in its various uses has grown since then.

Les hele intervjuet her

StudForsk: nytt prosjekt

Aslak Bakke Buan. Foto.IMF har fått tildelt et nytt prosjekt finansiert av Olav Thon Stiftelsen.

'StudForsk: program for studentaktive forskningsprosjekter ved Institutt for matematiske fag', ved professor Aslak B. Buan, NTNU. Tildeling gis med NOK 1,500,000 fordelt over 3 år.

Les pressemeldingen om tildelingen

15. januar 2015

StudForsk: nytt prosjekt

Aslak Bakke Buan. Foto.IMF har fått tildelt et nytt prosjekt finansiert av Olav Thon Stiftelsen.

'StudForsk: program for studentaktive forskningsprosjekter ved Institutt for matematiske fag', ved professor Aslak B. Buan, NTNU. Tildeling gis med NOK 1,500,000 fordelt over 3 år.

Les pressemeldingen om tildelingen

Om prosjektet

Prosjektet oppstod som idé om et undergraduate forskningsprogram, og sentrale personar er Aslak, Mats og Petter. Det er rettet mot studenter, og integrert i forskningen ved instituttet.

  • alle ansatte skal kunne foreslå prosjekter med varierende tidsperspektiv
  • kan være tverrfaglige prosjekter, ikke bare matematiske

Sluttresultatet skal være en kort rapport. Når den er godkjent av veileder vil det gis støtte til både student og veileder.

  • konferanse en gang i året for studenter som har vært involvert
  • alle som ikke har begynt på masteroppgave kan delta
  • estimert oppstart i løpet av sommeren 2015

 

Om Olav Thon Stiftelsen

Olav Thon opprettet Olav Thon stiftelsen 10.desember 2013. Stiftelsens formål er å utøve et stabilt og langsiktig eierskap i Olav Thon Gruppen AS, i tillegg til å dele ut midler til allmennyttige formål innen en rekke områder.

Stiftelsen støtter blant annet formål innen det matematisk-naturvitenskapelige og medisinske fagområde.

Three PhD fellowships at IMF

Three PhD fellowships have just been announced at jobbnorge.no.

The deadline for application is February 13.

22. January 2015

Three PhD fellowships at IMF

Three PhD fellowships have just been announced at jobbnorge.no.

The deadline for application is February 13.

The vacant PhD fellowships are intended to give promising candidates an opportunity to pursue a research activity on an advanced level leading to a doctoral degree. The Department of Mathematical Sciences conducts research on an international high level within the disciplines of algebra, analysis, differential equations, numerical analysis, optimization, geometry/topology, statistics and didactics of mathematics. Part of the research is also done in close cooperation with other fields of science and technology within NTNU, as well as in cooperation with industry and external research institutions.

Read the full announcement here