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  1. Data Management
  2. DM-11554

Improve Block-SDMM convergence checks


    • Type: Story
    • Status: Won't Fix
    • Resolution: Done
    • Fix Version/s: None
    • Component/s: meas_deblender
    • Labels:
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    • Story Points:
    • Sprint:
      DRP F17-3, DRP F17-4, DRP F17-5, DRP F17-6, DRP S18-1, DRP S18-2, DRP S18-3, DRP S18-4
    • Team:
      Data Release Production


      Our Block-SDMM algorithm has always had certain blends that never met the convergence criteria even when a model appeared to quickly converge to a solution. Further investigation revealed that this behavior occurs because the traditional check for convergence in an ADMM-like algorithm breaks down when the dual variable (Z) is a projection onto zero. In this case, which is true of the symmetry operator L, the residual is R^2 = (LX-Z)^2 (where X is the matrix we are solving for), which is compared to the primal error e^2=e_rel^2 * max(Z_k+1 - Z_k, LX^2)=e_rel^2 * LX^2 = e_rel**2 * R^2, where e_rel is the maximum relative error allowed.

      The convergence criteria is R^2<= e^2, which is never true in the case where Z_k is a projection onto a single value (in this case zero). The current algorithm just checks that R^2<=e_rel**2, which does not scale properly with the number of objects and size of the image, causing the issues we are seeing with convergence in certain blends.

      This ticket is to devise a mathematically sound and accurate check that the algorithm has converged, even in cases where the constraint cannot be met (for example the solution is not symmetric), including a flag to note that a particular peak (or blend) failed to meet the constraint.


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              • Assignee:
                fred3m Fred Moolekamp
                fred3m Fred Moolekamp
                Fred Moolekamp, Peter Melchior
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                • Created:

                  Summary Panel