Peer-Reviewed Journal Papers

  • Cambier, L. & Darve, E. (2019). Fast Low-Rank Kernel Matrix Factorization through Skeletonized Interpolation. SIAM Journal on Scientific Computing., 41(3), A1652–A1680. PDF, Link, Code(*)
  • Papavasiliou, A., Mou, Y., Cambier, L., & Scieur, D. (2018). Application of stochastic dual dynamic programming to the real-time dispatch of storage under renewable supply uncertainty. IEEE Transactions on Sustainable Energy, 9(2), 547-558. Link
  • Cambier, L., & Absil, P. A. (2016). Robust low-rank matrix completion by Riemannian optimization. SIAM Journal on Scientific Computing, 38(5), S440-S460. PDF, Link, Code

Conference Papers

  • Kaneda, T., Scieur, D., Cambier, L., & Henneaux, P. (2018, June). Optimal Management of Storage for Offsetting Solar Power Uncertainty Using Multistage Stochastic Programming. In 2018 Power Systems Computation Conference (PSCC) (pp. 1-7). IEEE. Link

Technical Reports and Preprints

  • Cambier, L., Chen, C., Boman, E., Rajamanickam, S., Tuminaro, R. and Darve, E. (2019). An Algebraic Sparsified Nested Dissection Algorithm using Low-Rank Approximations. Submitted to SIMAX - SIAM Journal on Matrix Analysis and Applications. Arxiv, spaND’s Github
  • Chen, C., Cambier, L., Boman, E., Rajamanickam, R., Tuminaro, R. and Darve, E. (2018). A Robust Hierarchical Solver for Ill-conditioned Systems with Applications to Ice Sheet Modeling. Submitted to Journal of Computational Physics. Arxiv
  • Xu, Z., Cambier, L., Rouet, F. H., L’Eplatennier, P., Huang, Y., Ashcraft, C., & Darve, E. (2018). Low-Rank Kernel Matrix Approximation Using Skeletonized Interpolation With Endo-or Exo-Vertices. arXiv preprint arXiv:1807.04787. Arxiv

Thesis

  • Cambier, Léopold. 2015. Robust Low-Rank Matrix Completion. Université catholique de Louvain Master’s Thesis. Advisors: P.-A. Absil & Nicolas Boumal. PDF

Other

  • Poster presented at the ICME Xpo event (Stanford, USA, May 17, 2019) about Sparsified Nested Dissection on SPD & unsymmetric systems. PDF
  • Slides presented at a group meeting (Stanford University, November 30, 2018) about Sparsified Nested Dissection. PDF
  • Slides presented at the Conference on Fast Direct Solvers (Purdue University, November 9, 2018) about Sparsified Nested Dissection. PDF
  • Slides presented at Total Mathias Conference (Serris, France, October 22, 2018) about Sparsified Nested Dissection. PDF
  • Slides presented at Siam Annual Meeting 2018 (Portland, OR, USA, July 12, 2018) about Skeletonized Interpolation with Endo- and Exo-Vertices. PDF
  • Slides presented at PMAA18 (Zurich, Switzerland, June 27, 2018) about Extended Sparsification & Application to Ice-Sheet Modeling. PDF
  • Poster presented at the ICME Xpo event (Stanford, USA, May 18, 2018) about Hierarchical Interpolative Factorization. PDF
  • Poster presented at the ICME Xpo event (Stanford, USA, May 19, 2017) about Skeletonized Interpolation. PDF
  • Poster presented at the ICME Xpo event (Stanford, USA, May 20, 2016) about FAST. PDF
  • Slides presented at the ICME CME500 seminar (Stanford, USA, October 10, 2016) about FAST. PDF
  • Slides about Low-Rank Kernel Matrices (Stanford, USA, February 21, 2017). PDF
  • Slides presented at a group meeting on Sparse Grids (Stanford, USA, February 17, 2017) and about this paper. PDF

(*) The code for “Fast Low-Rank Kernel Matrix Factorization through Skeletonized Interpolation” was unfortunately written in Julia 0.5. It is provided with hope it can help, but please be advised that it probably won’t run without significant rewriting that I don’t have time to do. In addition, some scripts refer to data (from subsequent projects) that had to be remove for licensing/IP reasons.