3 citations · 4 across the 4 of their papers we have counts for
Showing math-phShow all
2 papers · 1 filter
math-ph2026
Reconstructability of Inverse Problems under Symmetry: Separating Structural, Effective, and Physical Upper Bounds
Isshin Arai
In our previous work we introduced the Reconstruction Dimension, an upper bound on the reconstructable degrees of freedom determined solely by the symmetry. In actual physical syst…
math-ph2025
Group-Theoretic Upper Bounds on Reconstructability in Inverse Problems
Isshin Arai, Tomoaki Itano
Reconstructing the causal structure of physical systems from observational data constitutes a fundamental inverse problem. Here we show that the reconstruction dimension---defined…