toggle visibility Search & Display Options

Select All    Deselect All
 |   | 
Details
   print
  Record Links
Author (up) Catumba, G.; Ramos, A.; Zaldivar, B. url  doi
openurl 
  Title Stochastic automatic differentiation for Monte Carlo processes Type Journal Article
  Year 2025 Publication Computer Physics Communications Abbreviated Journal Comput. Phys. Commun.  
  Volume 307 Issue Pages 109396 - 13pp  
  Keywords Automatic differentiation; Monte Carlo; Lattice field theory; Optimization; Bayesian inference  
  Abstract Monte Carlo methods represent a cornerstone of computer science. They allow sampling high dimensional distribution functions in an efficient way. In this paper we consider the extension of Automatic Differentiation (AD) techniques to Monte Carlo processes, addressing the problem of obtaining derivatives (and in general, the Taylor series) of expectation values. Borrowing ideas from the lattice field theory community, we examine two approaches. One is based on reweighting while the other represents an extension of the Hamiltonian approach typically used by the Hybrid Monte Carlo (HMC) and similar algorithms. We show that the Hamiltonian approach can be understood as a change of variables of the reweighting approach, resulting in much reduced variances of the coefficients of the Taylor series. This work opens the door to finding other variance reduction techniques for derivatives of expectation values.  
  Address [Catumba, Guilherme; Ramos, Alberto; Zaldivar, Bryan] UVEG, CSIC, IFIC, Edificio Inst Invest,Apt 22085, E-46071 Valencia, Spain, Email: gtelo@ific.uv.es  
  Corporate Author Thesis  
  Publisher Elsevier Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0010-4655 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:001337289000001 Approved no  
  Is ISI yes International Collaboration no  
  Call Number IFIC @ pastor @ Serial 6297  
Permanent link to this record
Select All    Deselect All
 |   | 
Details
   print

Save Citations:
Export Records:
ific federMinisterio de Ciencia e InnovaciĆ³nAgencia Estatal de Investigaciongva