11 citations · 30 across the 7 of their papers we have counts for
9 papers
Towards a Scalable Hierarchical High-order CFD Solver
Zan Xu, Léopold Cambier, Juan J. Alonso +1
Development of highly scalable and robust algorithms for large-scale CFD simulations has been identified as one of the key ingredients to achieve NASA's CFD Vision 2030 goals. In o…
TaskTorrent: a Lightweight Distributed Task-Based Runtime System in C++
Léopold Cambier, Yizhou Qian, Eric Darve
We present TaskTorrent, a lightweight distributed task-based runtime in C++. TaskTorrent uses a parametrized task graph to express the task DAG, and one-sided active messages to tr…
The Index of Invariance and its Implications for a Parameterized Least Squares Problem
Léopold Cambier, Rahul Sarkar
We study the problem , with , for a subspace of ($\mathbb{F} = \…
Second Order Accurate Hierarchical Approximate Factorization of Sparse SPD Matrices
Bazyli Klockiewicz, Léopold Cambier, Ryan Humble +2
We describe a second-order accurate approach to sparsifying the off-diagonal blocks in the hierarchical approximate factorizations of sparse symmetric positive definite matrices. T…
Shifted and Squeezed 8-bit Floating Point format for Low-Precision Training of Deep Neural Networks
Léopold Cambier, Anahita Bhiwandiwalla, Ting Gong +3
Training with larger number of parameters while keeping fast iterations is an increasingly adopted strategy and trend for developing better performing Deep Neural Network (DNN) mod…
An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations
Léopold Cambier, Chao Chen, Erik G Boman +3
We propose a new algorithm for the fast solution of large, sparse, symmetric positive-definite linear systems, spaND -- sparsified Nested Dissection. It is based on nested dissecti…
A Robust Hierarchical Solver for Ill-conditioned Systems with Applications to Ice Sheet Modeling
Chao Chen, Leopold Cambier, Erik G. Boman +3
A hierarchical solver is proposed for solving sparse ill-conditioned linear systems in parallel. The solver is based on a modification of the LoRaSp method, but employs a deferred-…
Low-Rank Kernel Matrix Approximation Using Skeletonized Interpolation With Endo- or Exo-Vertices
Zixi Xu, Léopold Cambier, François-Henry Rouet +4
The efficient compression of kernel matrices, for instance the off-diagonal blocks of discretized integral equations, is a crucial step in many algorithms. In this paper, we study…
Fast Low-Rank Kernel Matrix Factorization through Skeletonized Interpolation
Léopold Cambier, Eric Darve
Integral equations are commonly encountered when solving complex physical problems. Their discretization leads to a dense kernel matrix that is block or hierarchically low-rank. Th…