The present paper is intended to provide the basis for the study of weakly differentiable functions on rectifiable varifolds with locally bounded first variation. The concept proposed here is defined ...

The work reported in this note was done while the author was a fellow of the John Simon Guggenheim Memorial Foundation on leave of absence from the University of Brazil, Rio de Janeiro. This work was ...

Senitra is a credit cards expert and TPG contributor. Senitra spent seven years working in marketing, has been a freelance writer for numerous websites and worked as a full-time reporter and editor ...

Linear Programs (LPs) are one of the major building blocks of AI and have championed recent strides in differentiable optimizers for learning systems. While efficient solvers exist for even ...

Let $If$ be the integral of $f(\overset {\rightarrow}{(x)}$ over an $N$-dimensional hypercube and $Q6{(m)}f$ be the approximation to $If$ obtained by subdividing the ...

The accurate modelling of the point spread function (PSF) is of paramount importance in astronomical observations, as it allows for the correction of distortions and blurring caused by the telescope ...

Diffusion models have revolutionized generative modeling across various data types. However, in practical applications like generating aesthetically pleasing images from text descriptions, fine-tuning ...

Abstract: There is a growing number of tasks that work directly on point clouds. As the size of the point cloud grows, so do the computational demands of these tasks. A possible solution is to sample ...