Optimal transport (OT) theory can be informally described using the words of the French
mathematician Gaspard Monge (1746–1818): A worker with a shovel in hand has to move a …

Optimal Transport (OT) has recently emerged as a central tool in data sciences to compare
in a geometrically faithful way point clouds and more generally probability distributions. The …

We present a general-purpose solver for convex quadratic programs based on the
alternating direction method of multipliers, employing a novel operator splitting technique …

Today's floating-point arithmetic landscape is broader than ever. While scientific computing
has traditionally used single precision and double precision floating-point arithmetics, half …

The efficient utilization of mixed-precision numerical linear algebra algorithms can offer
attractive acceleration to scientific computing applications. Especially with the hardware …

The subject of sparse matrices has its root in such diverse fields as management science,
power systems analysis, surveying, circuit theory, and structural analysis. Efficient use of …

As long as a square non-negative matrix A has total support then it can be balanced, that is,
we can find a diagonal scaling of A that has row and column sums equal to one. A number of …

Single-view intrinsic image decomposition is a highly ill-posed problem, making learning
from large amounts of data an attractive approach. However, it is difficult to collect ground …

Given a stereo pair it is possible to recover a depth map and use that depth to render a
synthetically defocused image. Though stereo algorithms are well-studied, rarely are those …

Given a nonnegative matrix $ A $, can you find diagonal matrices $ D_1,~ D_2 $ such that $
D_1AD_2 $ is doubly stochastic? The answer to this question is known as Sinkhorn's …