Nature

High precision implicit function learning for forecasting supercapacitor state of health based on Gaussian process regression

State of health (SOH) prediction of supercapacitors aims to provide reliable lifetime control and avoid system failure. Gaussian process regression (GPR) has emerged for SOH prediction because of its ...
Nature

Design of multiple materials structure based on an explicit and implicit hybrid topology optimization method

In this paper, an explicit and implicit hybrid topology optimization method is proposed for the design of multiple materials structure. The explicit topology optimization employs the moving morphable ...
Risk

Automatic implicit function theorem

Dmitri Goloubentsev, Evgeny Lakshtanov and Vladimir Piterbarg explain in mathematical terms, and demonstrate using a simple example, how the automatic implicit function theorem, a special version of ...