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Avoiding Breakdown in Incomplete Factorizations in Low Precision Arithmetic
The emergence of low precision floating-point arithmetic in computer hardware has led to a resurgence of interest in the use of mixed precision numerical linear algebra. For linear systems of equations, there has been renewed enthusiasm for mixed ...
Optimal Re-Materialization Strategies for Heterogeneous Chains: How to Train Deep Neural Networks with Limited Memory
Training in Feed Forward Deep Neural Networks is a memory-intensive operation which is usually performed on GPUs with limited memory capacities. This may force data scientists to limit the depth of the models or the resolution of the input data if data ...
PyOED: An Extensible Suite for Data Assimilation and Model-Constrained Optimal Design of Experiments
This article describes PyOED, a highly extensible scientific package that enables developing and testing model-constrained optimal experimental design (OED) for inverse problems. Specifically, PyOED aims to be a comprehensive Python toolkit for model-...
Remark on Algorithm 1012: Computing Projections with Large Datasets
In ACM TOMS Algorithm 1012, the DELAUNAYSPARSE software is given for performing Delaunay interpolation in medium to high dimensions. When extrapolating outside the convex hull of the training set, DELAUNAYSPARSE calls the nonnegative least squares solver ...
Algorithm 1043: Faster Randomized SVD with Dynamic Shifts
Aiming to provide a faster and convenient truncated SVD algorithm for large sparse matrices from real applications (i.e., for computing a few of the largest singular values and the corresponding singular vectors), a dynamically shifted power iteration ...
Algorithm 1044: PyGenStability, a Multiscale Community Detection with Generalized Markov Stability
- Alexis Arnaudon,
- Dominik J. Schindler,
- Robert L. Peach,
- Adam Gosztolai,
- Maxwell Hodges,
- Michael T. Schaub,
- Mauricio Barahona
We present PyGenStability, a general-use Python software package that provides a suite of analysis and visualization tools for unsupervised multiscale community detection in graphs. PyGenStability finds optimized partitions of a graph at different levels ...
Algorithm 1045: A Covariate-Dependent Approach to Gaussian Graphical Modeling in R
Graphical models are used to capture complex multivariate relationships and have applications in diverse disciplines such as biology, physics, and economics. Within this field, Gaussian graphical models aim to identify the pairs of variables whose ...
