'Infeasible Deterministic, Stochastic, and Variance-Reduction Algorithms for Optimization under Orthogonality Constraints', by Pierre Ablin, Simon Vary, Bin Gao, Pierre-Antoine Absil.

http://jmlr.org/papers/v25/23-0451.html

#optimization #minimize #orthogonal

#37 in the list of things I shouldn't have to say but apparently because this is 2023 I have to be #explicit about.

If I say that your #conclusion is #incorrect because of #faulty #assumptions or because of #mistaken #facts or for any other reasons, it does NOT mean I believe in or am #advocating for whatever the opposite of that conclusion happens to be.

They're #orthogonal.

I learned from Jon Brett about physicist David #Bohm 's colleague Basil Hiley https://en.wikipedia.org/wiki/Basil_Hiley Their distinction between implicate and explicate order seems to appear in my study of #orthogonal #Sheffer #polynomial s. The Sheffer constraint of exponentiality yields an implicate order of #partition of a set https://www.math4wisdom.com/wiki/Exposition/20221122SpaceBuilders whereas orthogonality yields 5 possible explicate orders upon #measurement. Also curious how they use #CliffordAlgebra ,real and #symplectic. #BottPeriodicity ?

Increasing the Scalability of #Toxin–#Intein #Orthogonal Combinations | #SyntheticBiology
#synbio
https://pubs.acs.org/doi/10.1021/acssynbio.2c00477

More orthogonal trajectories. #pde #math #orthogonal #visualization #orthogonalTrajectories

Pour ou contre un #clavier #orthogonal ?

#ContourPlot of equal values of #BipolarCoordinates with #foci at (0,-1) and (0,1). Plotted using #wxmaxima. These #coordinates are #orthogonal #curvilinear.
https://en.wikipedia.org/wiki/Bipolar_coordinates