Functions are one of the most fundamental concepts in mathematics, forming the foundation for topics in algebra, calculus and many other areas. A solid understanding of the basics of functions, ...

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 ...

Abstract: We consider iterative gradient-based optimization algorithms applied to functions that are smooth and strongly convex. The fastest globally convergent algorithm for this class of functions ...

Introduction: PET image reconstruction involves solving an inverse problem to estimate the spatial-temporal distribution of a radiotracer within the body from measured sinogram data. Traditional ...

National Intelligence Director Tulsi Gabbard’s office is working with NIH Director Jay Bhattacharya and HHS Secretary Robert F. Kennedy Jr. to investigate the origins of the Covid-19 pandemic. In an ...

To set prices that produce sales, small business owners need to understand the demand curves and inverse demand curves for their products and services. Knowing how each curve works will help owners ...

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

cuDNN version: Probably one of the following: /usr/lib/x86_64-linux-gnu/libcudnn.so.8.4.1 /usr/lib/x86_64-linux-gnu/libcudnn_adv_infer.so.8.4.1 /usr/lib/x86_64-linux ...

JAX provides a powerful general-purpose tool for automatic differentiation, but it usually requires that users write code that is JAX-traceable end-to-end. Significant numbers of scientific and ...