Per Christian Hansen

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  Bayesian Inference for Inverse Problems with Sampling Conditioned on Functionals

  Karamehmedovic, M. (Main Supervisor), Baalbaki, L. (PhD Student), Hansen, P. C. (PI) & Triki, F. (Supervisor)

  01/12/2022 → 30/11/2025

  Project: Research

• Bayesian Inference for Inverse Problems with Sampling Conditioned on Functionals

  Baalbaki, L. (PhD Student), Karamehmedovic, M. (Main Supervisor), Hansen, P. C. (Supervisor) & Triki, F. (Supervisor)

  01/12/2022 → 30/11/2025

  Project: PhD

  • Functionals 100%
  • Bayesian Inference 100%
  • Uncertainty Quantification 100%
  • Inverse Problem 100%
  • Function Space 37%

• EPOS: Efficient Parallel algorithms for Optimization and Simulation

  Madsen, K. (Project Manager), Clausen, J. (Project Participant), Barker, V. A. (Project Participant), Hansen, P. C. (Project Participant), Madsen, O. B. G. (Project Participant), Nielsen, H. B. (Project Participant), Thomsen, P. G. (Project Participant), Sørensen, J. N. (Project Participant), Wasniewski, J. (Project Participant) & Caprani, O. (Other)

  Unknown

  03/02/1995 → …

  Project: Research

  • Parallel Algorithms 100%
  • Parallel Algorithm 100%
  • Supercomputer 50%
  • Large-Scale Optimization 50%
  • Large-scale Optimization Problems 50%
• Finished

  Uncertainty Quantification for Source Localization and Passive Imaging in Random Media

  Linder-Steinlein, K. (PhD Student), Karamehmedovic, M. (Main Supervisor), Hansen, P. C. (Supervisor), Triki, F. (Supervisor), Garnier, J. (Examiner) & Miranville, A. (Examiner)

  01/02/2021 → 10/06/2024

  Project: PhD

  • Stochastic Media 100%
  • Source Function 83%

• Uncertainty quantification for tomografisk rekonstruktion

  Christensen, S. W. (PhD Student), Jørgensen, J. S. (Main Supervisor), Hansen, P. C. (Supervisor), Hansen, T. M. (Examiner) & Roininen, L. (Examiner)

  01/08/2020 → 06/09/2024

  Project: PhD

  • Defect Detection 100%
  • Uncertainty Quantification 100%
  • Measured Data 50%
  • Defect Structure 25%
  • Mathematical Model 25%

• Prior Modeling for Computational UQ for Inverse Problems

  Bangsgaard, K. O. (PhD Student), Andersen, M. S. (Main Supervisor), Hansen, P. C. (Supervisor), Jørgensen, J. S. (Supervisor), Batenburg, K. J. (Examiner) & Gazzola, S. (Examiner)

  01/09/2019 → 30/10/2023

  Project: PhD

  • Uncertainty Quantification 100%
  • Mathematical Model 100%
  • Bayesian 100%
  • Bayesian Modeling 100%
  • Mathematical Modeling 75%

• Characterization and Reducing the Influence of Model Errors in Inverse Problems

  Riis, N. A. B. (PhD Student), Burger, M. (Examiner), Knudsen, K. (Examiner), Dong, Y. (Main Supervisor), Hansen, P. C. (Supervisor), Frikel, J. (Supervisor) & Seppänen, A. O. (Examiner)

  Technical University of Denmark

  01/09/2017 → 12/05/2021

  Project: PhD

  • Marginalization 100%
  • Computational Efficiency 100%
  • Simulated Experiment 50%
  • Approximates 50%
  • Mathematics 50%

• Priors for Temporal Tomographic image Reconstruction

  Aggrawal, H. O. (PhD Student), Andersen, M. S. (Main Supervisor), Hansen, P. C. (Supervisor), Dong, Y. (Examiner), Sjibers, J. (Examiner) & Nielsen, M. (Examiner)

  Technical University of Denmark

  01/04/2015 → 30/09/2018

  Project: PhD

  • Image Reconstruction 100%
  • Stationarity 100%
  • Spatiotemporal Resolution 66%
  • Reconstructed Image 66%
  • Motion Behavior 66%

• Numerical Inversion Methods for Impedance tomography with hybrid data

  Sherina, E. (PhD Student), Knudsen, K. (Main Supervisor), Hansen, P. C. (Examiner), Kaltenbacher, B. (Examiner) & Seppänen, A. O. (Examiner)

  Forskningsrådsfinansiering

  01/01/2015 → 11/04/2018

  Project: PhD

  • Internals 100%
  • Numerical Example 100%
  • Physical Parameter 100%
  • Tomography 100%
  • Quantitative Elastography 66%

• CINEMA: Alliance for Imaging and Modelling of Energy Applications

  Andreasen, J. W. (Project Manager), Poulsen, H. F. (Project Coordinator), Mikkelsen, L. P. (Project Participant), Sørensen, B. F. (Project Participant), Bowen, J. R. (Project Participant), Kuhn, L. T. (Project Participant), Larsen, R. (Project Participant), Hansen, P. C. (Project Participant), Frandsen, H. L. (Project Participant), Gundlach, C. (Project Participant), Dahl, A. B. (Project Participant), Jespersen, K. M. (PhD Student), Beil, J. (PhD Student), Andersen, M. (PhD Student), Emerson, M. J. (PhD Student), Angelis, S. D. (PhD Student), Yang, S.-Y. (Project Participant), Poulsen, S. O. (Project Participant), Lyckegaard, A. (Project Participant), Birkelund, K. (PhD Student), Jacobsen, H. S. (PhD Student), Frandsen, H. L. (Supervisor), Sørensen, H. (Project Manager), Chapelle, L. (PhD Student), Lauridsen, E. M. (Project Participant) & Sørensen, H. O. (Project Participant)

  01/01/2014 → 31/12/2018

  Project: Research

  • Directional 100%
  • Composite Fiber 100%
  • Fatigue Damage 100%
  • Solar Cell 100%
  • Wind Turbine 68%

• Image Reconstruction under Non-Gaussian Noise

  Sciacchitano, F. (PhD Student), Dong, Y. (Main Supervisor), Hansen, P. C. (Supervisor), Paulsen, R. R. (Examiner), Lauze, F. B. (Examiner) & Steidl, G. (Examiner)

  Technical University of Denmark

  01/09/2013 → 26/10/2016

  Project: PhD

  • Conditional Maximum 100%
  • Atmospheric Acoustics 100%
  • Image Processing Operations 100%
  • Bregman Distance 100%
  • Degraded Image 100%

• Stastistical Priors in Variational Reconstruction Methods

  Romanov, M. (PhD Student), Dahl, A. B. (Main Supervisor), Hansen, P. C. (Supervisor), Bærentzen, J. A. (Examiner), Lauze, F. B. (Examiner) & Batenburg, K. J. (Examiner)

  EU-finansieret

  01/11/2012 → 24/02/2016

  Project: PhD

  • Gaussian Distribution 100%
  • Local Minimum 100%
  • Standard Deviation 100%
  • Minimizes 100%
  • Regularization 100%

• Trainilng sets in Large-Scale Reconstruction Methods

  Soltani, S. (PhD Student), Hansen, P. C. (Main Supervisor), Andersen, M. S. (Supervisor), Dahl, A. B. (Examiner), Van Huffel, S. (Examiner) & Siltanen, S. (Examiner)

  EU-finansieret

  01/09/2012 → 23/10/2015

  Project: PhD

  • Training Image 100%
  • Image Reconstruction 100%
  • Matrix 100%
  • Tensor 100%
  • Sparse Representation 25%

• Large-Scale Computational Electromagnetics for Reflector Antenna Analysis

  Borries, O. P. (PhD Student), Hansen, P. C. (Main Supervisor), Jørgensen, E. (Supervisor), Meincke, P. (Supervisor), Engsig-Karup, A. P. (Examiner), Gustafsson, M. (Examiner) & Lee, J.-F. (Examiner)

  ErhvervsPhD-ordningen VTU

  15/12/2011 → 19/03/2015

  Project: PhD

  • Fast Multipole Method 100%
  • Electrically Large Structures 100%
  • Fast Physical Optics 80%
  • Limited Application 40%
  • Relative Error 40%

• Integrated Modeling of Oil Reservoirs - seismic and geostatistical analysis

  Lange, K. (PhD Student), Mosegaard, K. (Main Supervisor), Hansen, P. C. (Supervisor), Stenby, E. H. (Supervisor), Knudsen, P. (Examiner) & Kolbjørnsen, O. (Examiner)

  Forskningsrådsfinansiering

  01/03/2010 → 30/08/2013

  Project: PhD

  • Oil Reservoir 100%
  • Probability Density Function 100%
  • Rock Property 100%
  • Inverse Problem 100%
  • Earth Science 100%

• Large-Scale Algorithms for Non-Smooth Convexs Optimization

  Skajaa, A. (PhD Student), Hansen, P. C. (Main Supervisor), Jørgensen, J. B. (Supervisor), Evgrafov, A. (Examiner), Gondzio, J. (Examiner) & Vandenberghe, L. (Examiner)

  Technical University of Denmark

  01/02/2010 → 22/11/2013

  Project: PhD

  • Interior Point 100%
  • Optimization Problem 40%
  • Benchmarking 20%
  • Case Complexity 20%
  • Real-World Problem 20%

• Tomography with Prior Information

  Jørgensen, J. S. (PhD Student), Hansen, P. C. (Main Supervisor), Sidky, E. (Supervisor), Larsen, R. W. (Examiner), Arridge, S. R. (Examiner), Siltanen, S. (Examiner) & Schmidt, S. (Supervisor)

  Technical University of Denmark

  01/10/2009 → 17/06/2013

  Project: PhD

  • Sparsity 100%
  • Image Reconstruction 100%
  • Reconstruction Problem 75%
  • Optimization Algorithm 75%
  • Characterization Method 50%

• Development of tomographic reconstruction methods for material science with focus on advanced scanning methods

  Lyckegaard, A. (PhD Student), Lauridsen, E. M. (Main Supervisor), Larsen, R. (Supervisor), Hansen, P. C. (Examiner), Ralph, B. (Examiner) & Suter, R. M. (Examiner)

  Danmarks Grundforskningsfond

  01/08/2007 → 20/04/2011

  Project: PhD

  • Tomographic Reconstruction 100%
  • Acquisition Time 100%
  • Polycrystalline Material 100%
  • Diffraction Measurement 100%
  • Titanium Alloys 100%

• Modelling of Plasma edge turbulence and transport

  Madsen, J. (PhD Student), Naulin, V. (Supervisor), Nielsen, A. H. (Supervisor), Hansen, P. C. (Examiner), Heikkinen, J. A. (Examiner), Scott, B. D. (Examiner) & Rasmussen, J. J. (Main Supervisor)

  Forskningsrådsfinansiering

  15/04/2007 → 21/12/2010

  Project: PhD

  • Larmor Radius 100%
  • Guiding Center Model 100%
  • Fusion Plasmas 75%
  • Maxwell Equation 75%
  • Electric Fields 50%

• Numerisk approksimation af rand-kontrol problemer

  Mariegaard, J. S. (PhD Student), Knudsen, K. (Main Supervisor), Hansen, P. C. (Supervisor), Pedersen, M. (Supervisor), Sørensen, M. P. (Examiner), Hesthaven, J. (Examiner) & Hugger, J. (Examiner)

  DTU stipendium

  01/09/2005 → 23/09/2009

  Project: PhD

  • Hilbert Uniqueness Method 100%
  • Numerical Approximation 100%
  • Boundary Control 100%
  • Linear Finite Element Method 50%
  • Reconstruction Formula 25%

• Wavelet Frames in theory and Practice

  Lemvig, J. (PhD Student), Christensen, O. (Main Supervisor), Hansen, P. C. (Examiner), Laugesen, R. S. (Examiner) & Goh, S. S. (Examiner)

  DTU stipendium

  01/08/2005 → 05/11/2008

  Project: PhD

  • Wavelet 100%
  • Quasi-affine Systems 55%
  • Expansive Dilation 44%
  • Quasi-affine Frame 33%
  • Integer 22%

• Scientific Computing and Parallel Algorithms in Computational Nano science

  Sørensen, H. H. B. (PhD Student), Hansen, P. C. (Main Supervisor), Stokbro, K. (Supervisor), Sørensen, M. P. (Examiner), Darve, E. (Examiner), Wacker, A. (Examiner) & Skelboe, S. (Supervisor)

  Forskningsrådsfinansiering

  15/04/2005 → 02/07/2008

  Project: PhD

  • Matrix 100%
  • Computational Aspects 100%
  • Nanoscale 100%
  • Wave Function 100%
  • wavefunction ψ 66%

• Brystkræftscreening ved brug af mikrobølger

  Rubæk, T. (PhD Student), Meincke, P. (Main Supervisor), Hansen, P. C. (Examiner), Rappaport, C. M. (Examiner) & Van den Berg, P. M. (Examiner)

  Forskningsrådsfinansiering

  01/01/2005 → 24/06/2008

  Project: PhD

• Stabiliserings-Algoritmer til Storskala-Problemer

  Jensen, T. K. (PhD Student), Hansen, P. C. (Main Supervisor), Nielsen, H. B. (Examiner), Fischer, B. (Examiner) & Kilmer, M. E. (Examiner)

  DTU stipendium

  01/04/2003 → 31/05/2006

  Project: PhD

  • Scale Problem 100%
  • Krylov Method 100%
  • Matrix 100%
  • Regularization 100%
  • Stabilization Algorithm 100%

• Diskrete tilnærmelser til kontinuerte frames

  Søndergaard, P. L. (PhD Student), Christensen, O. (Main Supervisor), Hansen, P. C. (Supervisor), Christiansen, E. (Examiner), Person, U. (Examiner) & Feichtinger, H. G. (Examiner)

  Forskningsrådsfinansiering

  01/09/2002 → 31/05/2007

  Project: PhD

  • Gabor Analysis 100%
  • Gabor Systems 75%
  • Real Line 50%
  • Building Block 50%
  • Gabor Coefficients 50%

• Tomographic Reconstruction using Anatomical Regularisation

  Høgh-Rasmussen, E. (PhD Student), Hansen, L. K. (Main Supervisor), Hansen, P. C. (Supervisor), Andersen, J. D. (Examiner), Berry, M. W. (Examiner), Larsen, J. (Examiner) & Svarer, C. (Supervisor)

  Ansat eksternt

  01/06/2002 → 13/03/2006

  Project: PhD

• Design af hierarkiske netværk

  Thomadsen, T. (PhD Student), Clausen, J. (Main Supervisor), Hansen, P. C. (Examiner), Boland, N. L. (Examiner) & Zachariasen, M. (Examiner)

  DTU stipendium

  01/03/2002 → 05/08/2005

  Project: PhD

  • Network Design 100%
  • Review 100%
  • Hierarchical Network Design 100%
  • Ring Network 83%
  • Periodicals 50%

• PDE-regulering i Scientific Computing

  Rasmussen, J. M. (PhD Student), Hansen, P. C. (Main Supervisor), Pedersen, M. (Supervisor), Bendsøe, M. P. (Examiner), Hesthaven, J. (Examiner) & Hugger, J. (Examiner)

  DTU stipendium

  01/02/2001 → 26/11/2004

  Project: PhD

  • Linear Evolution 100%
  • Continuous System 75%
  • Control Function 50%
  • Finite-dimensional Approximation 33%
  • Thermoelasticity 33%

• Scientific Computing in Optimization, Simulation and Inversion

  Hansen, P. C. (Project Manager), Hansen, P. C. (Project Participant), Madsen, K. (Project Participant), Clausen, J. (Project Participant) & Skelboe, S. (Project Participant)

  01/12/2000 → 31/12/2002

  Project: Research

  • Optimization Inversion 100%
  • Scientific Computing 100%
  • Simulation Optimization 100%
  • Algorithm Development 100%
  • Natural Sciences Computing 100%

• Modulære regulariserings-algoritmer

  Jacobsen, M. (PhD Student), Hansen, P. C. (Main Supervisor), Pedersen, M. (Examiner), O'Leary, D. P. (Examiner) & Skelboe, S. (Examiner)

  DTU stipendium

  01/10/2000 → 05/10/2004

  Project: PhD

  • Regularization 100%
  • Posed Problem 100%
  • Programming Technique 33%
  • Preconditioner 33%
  • Object Oriented Programming 33%

• Integral equation techniques for computational electromagnetics

  Jørgensen, E. (PhD Student), Breinbjerg, O. (Main Supervisor), Meincke, P. (Supervisor), Hansen, P. C. (Examiner), Aksun, M. I. (Examiner) & Kolundzija, B. M. (Examiner)

  DTU stipendium

  01/04/2000 → 06/11/2003

  Project: PhD

  • Integral Equation 100%
  • Basis Function 100%
  • Higher-order Integral 100%
  • Physical Optics Method 40%
  • Matrix Condition number 40%

• Ikke-lineær optimering ved anvendelse af surrogatmodeller

  Søndergaard, J. (PhD Student), Madsen, K. (Main Supervisor), Frandsen, P. E. (Supervisor), Nielsen, H. B. (Supervisor), Hansen, P. C. (Examiner), Ravn, H. V. (Examiner) & Vicente, L. N. (Examiner)

  DTU stipendium

  01/02/2000 → 20/05/2003

  Project: PhD

  • Surrogate Model 100%
  • Physical Model 100%
  • Approximation (Algorithm) 100%
  • Optimization Technique 50%
  • Theoretical Study 50%

• Multichannel adaptive analysis of rotating systems

  Pedersen, T. F. (PhD Student), Hansen, L. K. (Main Supervisor), Gram-Hansen, K. (Supervisor), Hansen, P. C. (Supervisor), Herlufsen, H. (Supervisor), Sørensen, H. B. D. (Examiner), Randall, R. B. (Examiner) & Pedersen, J. M. (Examiner)

  Innovationsfonden

  01/09/1999 → 14/09/2003

  Project: PhD

  • Bayesian Analysis 100%
  • Optimal Track 28%
  • Acoustic Vibration 28%
  • Vibration Signal 28%
  • Rotating Parts 14%

• Signal and Image Processing for Telemedicine (SITE).

  Conradsen, K. (Project Manager), Madsen, K. (Project Participant), Hansen, P. C. (Project Participant), Hansen, L. K. (Project Participant), Ersbøll, B. K. (Project Participant), Carstensen, J. M. (Project Participant), Larsen, J. (Project Participant), Sørensen, J. A. (Project Participant) & Sigurdsson, S. (Project Participant)

  01/07/1999 → 30/06/2003

  Project: Research

  • Telemedicine 100%
  • Signal Processing 100%
  • Image Processing 100%
  • Physical Realization 50%
  • Analysis Operation 50%

• Storskala inversionsalgoritmer

  Berglund, E. A.-C. (PhD Student), Hansen, P. C. (Main Supervisor), Bendtsen, C. (Supervisor), Jacobsen, B. H. (Supervisor), Madsen, K. (Supervisor), Nielsen, H. B. (Examiner), Mosegaard, K. (Examiner) & Rojas Larrazabal, M. D. L. C. (Examiner)

  Samarbejdsaftalefinans

  01/12/1998 → 20/01/2003

  Project: PhD

  • Numerical Regularization 100%
  • Gauss-Newton Method 100%
  • Nonlinear Hammerstein Integral Equation 74%
  • Geoelectrical Sounding 50%
  • Linear Ill-posed Problems 50%

• Multikanal systemer til kombineret adapbtiv støjreduktion og signalseperation

  Kidmose, P. (PhD Student), Hansen, L. K. (Main Supervisor), Hansen, S. D. (Supervisor), Hansen, P. C. (Supervisor), Sørensen, J. A. (Supervisor), Hanssen, A. (Examiner), Nolan, J. (Examiner) & Larsen, J. (Examiner)

  DTU stipendium

  01/09/1998 → 14/06/2002

  Project: PhD

• Ph.D. project: Multichannel Systems for Combined Adaptive Noise Reduction and Signal Separation

  Sørensen, J. A. (Project Manager), Hansen, S. D. (Project Participant), Hansen, P. C. (Project Participant), Kidmose, P. (Project Participant) & Kidmose, P. (Project Manager)

  Unknown

  01/09/1998 → 31/08/2001

  Project: Research

  • Multichannel System 100%
  • Noise Reduction 100%
  • Signal Separation 100%
  • Spatial Localization 100%
  • Adaptive Noise Reduction 100%

• Investigation of the Effectiveness of Co-Array Fortran

  Hansen, P. C. (Project Manager), Rasmussen, J. M. (Project Participant) & Reid, J. (Project Participant)

  01/09/1998 → 31/12/2000

  Project: Research

• Parallelle Algoritmer til Lineær Programmering

  Hultberg, T. H. (PhD Student), Clausen, J. (Main Supervisor), Hansen, P. C. (Supervisor), Nielsen, H. B. (Supervisor), Madsen, O. B. G. (Examiner), Drud, A. (Examiner) & Powell, S. (Examiner)

  DTU stipendium

  01/01/1997 → 14/12/2001

  Project: PhD

  • Linear Optimization 100%
  • Linear Program 100%
  • Linear Optimization Problem 66%
  • Algebraic Modeling Language 66%
  • Matrix 60%

• Research Monograph: Rank-Deficient and Discrete Ill-Posed Problems

  Hansen, P. C. (Project Manager)

  01/09/1996 → 01/11/1997

  Project: Research

• Algorithms and Software for Rank-Revealing Decompositions

  Hansen, P. C. (Project Manager) & Fierro, R. D. (Project Participant)

  01/01/1995 → 31/12/2000

  Project: Research

  • Rank-revealing Decomposition 100%
  • NATO 100%
  • Collaborative Research 100%

• Ph.D. Project: Wavelets in Scientific Computing

  Barker, V. A. (Project Manager), Nielsen, O. M. (Project Participant), Hansen, P. C. (Project Participant) & Sørensen, M. P. (Project Participant)

  01/03/1994 → 28/02/1998

  Project: Research

  • Wavelet 100%
  • Scientific Computing 100%
  • Compact Support 33%
  • Wavelet Transform 33%
  • Daubechies 33%