Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Lehoucq, Richard"'
We show that certain Graph Laplacian linear sets of equations exhibit optimal accuracy, guaranteeing that the relative error is no larger than the norm of the relative residual and that optimality occurs for carefully chosen right-hand sides. Such se
Externí odkaz:
http://arxiv.org/abs/2405.07877
We introduce a new tensor norm, the average spectrum norm, to study sample complexity of tensor completion problems based on the canonical polyadic decomposition (CPD). Properties of the average spectrum norm and its dual norm are investigated, demon
Externí odkaz:
http://arxiv.org/abs/2404.10085
Publikováno v:
Bulletin of Mathematical Biology 86, 74 (2024)
Many imaging techniques for biological systems -- like fixation of cells coupled with fluorescence microscopy -- provide sharp spatial resolution in reporting locations of individuals at a single moment in time but also destroy the dynamics they inte
Externí odkaz:
http://arxiv.org/abs/2311.04880
We propose a novel statistical inference methodology for multiway count data that is corrupted by false zeros that are indistinguishable from true zero counts. Our approach consists of zero-truncating the Poisson distribution to neglect all zero valu
Externí odkaz:
http://arxiv.org/abs/2201.10014
Autor:
Smith, J. Darby, Hill, Aaron J., Reeder, Leah E., Franke, Brian C., Lehoucq, Richard B., Parekh, Ojas, Severa, William, Aimone, James B.
Publikováno v:
Nature Electronics 2022
Computing stands to be radically improved by neuromorphic computing (NMC) approaches inspired by the brain's incredible efficiency and capabilities. Most NMC research, which aims to replicate the brain's computational structure and architecture in ma
Externí odkaz:
http://arxiv.org/abs/2107.13057
Autor:
Foss, Alexander H., Lehoucq, Richard B., Stuart, W. Zachary, Tucker, J. Derek, Berry, Jonathan W.
We introduce HITMIX, a new technique for network seed-set expansion, i.e., the problem of identifying a set of graph vertices related to a given seed-set of vertices. We use the moments of the graph's hitting-time distribution to quantify the relatio
Externí odkaz:
http://arxiv.org/abs/2011.09544
Autor:
Smith, J. Darby, Severa, William, Hill, Aaron J., Reeder, Leah, Franke, Brian, Lehoucq, Richard B., Parekh, Ojas D., Aimone, James B.
The widely parallel, spiking neural networks of neuromorphic processors can enable computationally powerful formulations. While recent interest has focused on primarily machine learning tasks, the space of appropriate applications is wide and continu
Externí odkaz:
http://arxiv.org/abs/2005.10904
Akademický článek
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A mechanical model is introduced for predicting the initiation and evolution of complex fracture patterns without the need for a damage variable or law. The model, a continuum variant of Newton's second law, uses integral rather than partial differen
Externí odkaz:
http://arxiv.org/abs/1602.00247
We introduce a meshless method for solving both continuous and discrete variational formulations of a volume constrained, nonlocal diffusion problem. We use the discrete solution to approximate the continuous solution. Our method is nonconforming and
Externí odkaz:
http://arxiv.org/abs/1601.02717