Left: Artistic impression of metal spheres buried in small glass beads. Middle: Conventional ultrasound picture. Right: With the new technology, the positions of the metal spheres can be precisely ...

Millions are turning to chatbots for guidance from on high. Millions are turning to chatbots for guidance from on high. Nolan Pelletier Supported by Millions of people are turning to chatbots to ...

An AI-powered tool from Carnegie Mellon University and collaborators is helping uncover genetic clues to rare diseases, potentially accelerating diagnoses and treatments for conditions that affect ...

We derive and implement a second-order adjoint method to compute exact gradients and Hessians for a prototypical quantum optimal control problem, that of solving for the minimal energy applied ...

ABSTRACT: We consider shape and topological optimization problems for thermoelasticity. A model of thermoelasticity problem is first proposed before presenting the models for which a mathematical ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...

Abstract: An adjoint-based inverse design method is proposed for efficient topology optimization of microwave components. In this approach, the postprocessing adjoint analytical topology formula is ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

We present a systematic derivation of three mathematical models of increasing complexity for optical design, based on Hamilton’s characteristic functions and conservation of luminous flux, and briefly ...

1 Shanghai Collaborative Innovation Center of Agri-Seeds/School of Agriculture and Biology, Shanghai Jiao Tong University, Shanghai, China 2 Department of Animal Breeding and Reproduction, College of ...