Inverse Hamiltonian design by automatic differentiation

Automatic differentiation in geophysical inverse problems

S U M M A R Y Automatic differentiation (AD) is the technique whereby output variables of a computer code evaluating any complicated function (e.g. the solution to a differential equation) can be differentiated with respect to the input variables. Often AD tools take the form of source to source translators and produce computer code without the need for deriving and hand coding of explicit math...

Inverse Problems in Finite Element Method Using Automatic Differentiation

The progress of computer and numerical technique in recent years allows us not only complex numerical simulation but also resolution of inverse problems. It is important to pursue higher and higher quality of gradient computation (it is called sensitivity analysis) in inverse problem and this is the most bone-crushing point. In this study, the authors will propose the forward mode automatic dif...

Automatic differentiation and numerical software design

Automatic diierentiation (AD) tools can generate accurate and eecient derivative code for computer programs of arbitrary length. In some cases, however, the developer of the code to be diierentiated may be required to provide additional information to an AD tool to ensure the desired solution. We illustrate these issues with nondiierentiable language intrinsics such as max() in the context of c...

Automatic Design of Persian Typefaces

In this paper&#10, a fast method for automatic generation and scientific design of Persian letters is proposed. Scientific typeface design is an approach in which fonts are described by mathematical curves with well-defined parameters, where these parameters can be automatically tuned. METAFONT is a language suitable for the type of design used in this work. This language is particularly useful...

Automatic Differentiation by Program Transformation