Skip to content

GitLab

  • Menu
Projects Groups Snippets
  • Help
    • Help
    • Support
    • Community forum
    • Submit feedback
    • Contribute to GitLab
  • Sign in
  • N NIFTy
  • Project information
    • Project information
    • Activity
    • Labels
    • Members
  • Repository
    • Repository
    • Files
    • Commits
    • Branches
    • Tags
    • Contributors
    • Graph
    • Compare
  • Issues 17
    • Issues 17
    • List
    • Boards
    • Service Desk
    • Milestones
  • Merge requests 12
    • Merge requests 12
  • CI/CD
    • CI/CD
    • Pipelines
    • Jobs
    • Schedules
  • Deployments
    • Deployments
    • Releases
  • Packages & Registries
    • Packages & Registries
    • Container Registry
  • Analytics
    • Analytics
    • Value stream
    • CI/CD
    • Repository
  • Activity
  • Graph
  • Create a new issue
  • Jobs
  • Commits
  • Issue Boards
Collapse sidebar
  • ift
  • NIFTy
  • Issues
  • #306

Closed
Open
Created Jun 12, 2020 by Reimar H Leike@reimarMaintainer

Complex samples are inconsistent

When we draw samples with complex dtype, we multiply their magnitude with sqrt(0.5). This is done because then a sample from a variance of 1 also has standard deviation of 1 on average. However, this is inconsistent with its Hamiltonian. If we instead regard a complex number as a pair of real numbers, then in order to reproduce the sample variance, we would need the vector (real, imag) to have covariance

 / 0.5  0   \
|           |
 \ 0    0.5 /   

However this covariance would lead to the Hamiltonian (real**2 + imag**2)*2 which is double of what we would get when using the complex likelihood with covariance 1.

Edited Jun 12, 2020 by Reimar H Leike
To upload designs, you'll need to enable LFS and have an admin enable hashed storage. More information
Assignee
Assign to
Time tracking