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 ...

Thanks for this awesome repo. I have read your latest work about disturbance method for computing Jacobian matrix. I am interested in this efficient numerical algorithm. Could you share this method in ...

Automatic differentiation has transformed the development of machine learning models by eliminating complex, application-dependent gradient derivations. This transformation helps to calculate Jacobian ...

The ensemble-based variational method is easier to implement and parallelize than the adjoint method. For circumstances in which observed data are too limited and sparse for oceanographic data ...

A fast poisson image editing implementation that can utilize multi-core CPU or GPU to handle a high-resolution image input.

Abstract: Maintaining the reliable operation of complex systems that span a large geographical area, such as power systems, can be a challenge. In the future, the complexity of power systems will ...

Abstract: The inverse kinematics problem is generally very complex and many traditional solutions are targeted only to robots of certain specific topologies. The iterative method based on the (pseudo) ...

ABSTRACT: In this paper, we investigate an accelerated version of the discrete-time Jacobi waveform relaxation iteration method. Based on the well known Chebyshev polynomial theory, we show that ...