Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of ...

At this moment, Nisus Writer is essentially Schrödinger’s word processor: it is simultaneously dead and alive, and there’s no way to know more than that right now. We do know that apps, like cats, don ...

This cheat sheet contains many classical equations and diagrams on machine learning, which will help you quickly recall knowledge and ideas on machine learning. The cheat sheet will also appeal to ...

Research in space is about more than discovery. It is a strategic asset and soft power that attracts partners and supports evidence-based decisions.

This book is a systematic presentation of basic notions, facts, and ideas of nonlinear functional analysis and their applications to nonlinear partial differential equations. It begins from a brief ...

Physical Sciences Division, Pacific Northwest National Laboratory, P.O. Box 999, Richland, Washington 99352, United States ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

PyTorch implementation of Diffusion Schrödinger Bridge (DSB) for generative modeling of 2D shapes (arcs, circles, spiral). Based on De Bortoli et al. (2023). - ...

The nonlinear problem is first formulated as a fixed-point equation of a compact mapping 𝒜. By constructing an approximate mapping 𝒜h, we prove that 𝒜h has a fixed point uh which is the solution to ...