Wave-function positivization via automatic differentiation
نویسندگان
چکیده
منابع مشابه
Hessian Matrices via Automatic Differentiation
We investigate the computation of Hessian matrices via Automatic Differentiation, using a graph model and an algebraic model. The graph model reveals the inherent symmetries involved in calculating the Hessian. The algebraic model, based on Griewank and Walther’s state transformations [7], synthesizes the calculation of the Hessian as a formula. These dual points of view, graphical and algebrai...
متن کاملFloating-point bitwidth analysis via automatic differentiation
Automatic bitwidth analysis is a key ingredient for highlevel programming of FPGAs and high-level synthesis of VLSI circuits. The objective is to find the minimal number of bits to represent a value in order to minimize the circuit area and to improve efficiency of the respective arithmetic operations, while satisfying user-defined numerical constraints. We present a novel approach to bitwidth ...
متن کاملAutomatic Face Recognition via Local Directional Patterns
Automatic facial recognition has many potential applications in different areas of humancomputer interaction. However, they are not yet fully realized due to the lack of an effectivefacial feature descriptor. In this paper, we present a new appearance based feature descriptor,the local directional pattern (LDP), to represent facial geometry and analyze its performance inrecognition. An LDP feat...
متن کاملModelica-based computational tools for sensitivity analysis via automatic differentiation
This work is mainly concerned with sensitivity analysis of DAE-based models described by the modern object-oriented modeling language Modelica. In this context, an automatic differentiation tool named as ADModelica is presented. It fully employs Modelica-based compiler techniques forming a new automatic differentiation approach for non-causal equation-based languages. Already existing open-sour...
متن کاملEfficient (Partial) Determination of Derivative Matrices via Automatic Differentiation
In many scientific computing applications involving nonlinear systems or methods of optimization, a sequence of Jacobian or Hessian matrices is required. Automatic differentiation (AD) technology can be used to accurately determine these matrices, and it is well known that if these matrices exhibit a sparsity pattern (for all iterates), then not only can AD take advantage of this sparsity for s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Research
سال: 2020
ISSN: 2643-1564
DOI: 10.1103/physrevresearch.2.032060