Blog posts

Peer-Reviewed Journal and Conference Papers

  • Cambier L. and Darve E. (2021). A Task-Based Distributed Parallel Sparsified Nested Dissection Algorithm. Proceedings of the Platform for Advanced Scientific Computing (PASC21). PDF, Link
  • Cambier L., Qian Y. and Darve E. (2020). TaskTorrent: a Lightweight Distributed Runtime System in C++. Proceedings of The 3rd Annual Parallel Applications Workshop, Alternatives To MPI+X (PAW-ATM). PDF, Link
  • Cambier L., Chen C., Boman E., Rajamanickam S., Tuminaro R. and Darve E. (2019). An Algebraic Sparsified Nested Dissection Algorithm using Low-Rank Approximations. SIAM Journal on Matrix Analysis and Applications, 41(2), 715-746. PDF, Link, spaND’s Github
  • Cambier L., Bhiwandiwalla A., Gong T., Nekuii M., Elibol O. and Tang H. (2019). Shifted and Squeezed 8-bit Floating Point format for Low-Precision Training of Deep Neural Networks. International Conference on Learning Representations (ICLR). PDF, Link, Arxiv
  • Chen C., Cambier L., Boman E., Rajamanickam R., Tuminaro R. and Darve E. (2019). A Robust Hierarchical Solver for Ill-conditioned Systems with Applications to Ice Sheet Modeling. Journal of Computational Physics, 396, 819-836. Link
  • Cambier L. and 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. and 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. and 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

  • Xu Z., Cambier L., Alonso J. and Darve E. (2021, January). Towards a Scalable Higher-order CFD Solver. Proceedings of the AIAA Scitech 2021 Forum. PDF, Link
  • Kaneda T., Scieur D., Cambier L., and 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. and Sarkar, R. (2020). The Index of Invariance and its Implications for a Parameterized Least Squares Problem. arXiv preprint arXiv:2008.11154. Arxiv, PDF
  • Klockiewicz B., Cambier L., Humble R., Tchelepi H., Darve E. (2020). Second Order Accurate Hierarchical Approximate Factorization of Sparse SPD Matrices. arXiv preprint arXiv:2007.00789. 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. 2020. Fast and Scalable Hierarchical Linear Solvers. PhD thesis, Stanford University. Advisor: Eric Darve. Slides (PDF), Slides (PPTX, w/ animations), Thesis (PDF), Thesis (Link)
  • Cambier, Léopold. 2015. Robust Low-Rank Matrix Completion. Université catholique de Louvain Master’s Thesis. Advisors: P.-A. Absil & Nicolas Boumal. PDF

Other

  • Slides for ICME Xpo 2020 (Online, Stanford University, USA, May 2020) PDF
  • Slides presented at PP20 conference (Seattle, WA, USA, February 15, 2020) PDF
  • Slides presented at a group meeting (Stanford University, USA, February 3, 2020) PDF
  • Slides presented at Total Mathias Conference (Serris, France, October 16, 2019) PDF
  • Slides presented at a group meeting (Stanford University, USA, June 10, 2019) PDF
  • 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

Note: 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.