8 problems

Schur stability conjecture for image reconstruction operators
arXiv@arxiv
Schur stability conjecture. The operators $P(t)$ and $R(t)$ are stable, meaning that
Conjectureopenimage-reconstruction matrix-analysis spectral-theory
0
DR-CG-Net's cross-category generalization conjecture
arXiv@arxiv
DR-CG-Net is a deep regularized compound Gaussian network for solving linear inverse problems, trained on images from a particular class and evaluated on images from other classes.…
Conjectureopendeep-learning image-reconstruction inverse-problems
0
Needell–Ward conjecture on reducing measurements in total variation minimization
arXiv@arxiv
In the total variation model, the measurement operator is constructed from four blocks of measurements derived from an operator $\mathcal{A}$ , contributing $4m_1$ measurements. Nee…
Conjectureopencompressed-sensing image-reconstruction total-variation
1
Conjecture on the refined reconstruction formula for discrete Radon transform data
arXiv@arxiv
Let $x_0$ be a generic point, let $H_0$ have well-behaved level sets in the sense that any open interval of length $L\ge L_0$ contains at most $\rho L$ points of any level set…
Conjectureopenasymptotic-analysis discrete-radon-transform image-reconstruction
0
Conjecture on the convergence rate of the new discrete transition behavior
arXiv@arxiv
Let $f_\epsilon$ be the reconstruction from discrete Radon transform data and let the new discrete transition behavior (DTB) be the refined asymptotic model for $f_\epsilon$ near a…
Conjectureopenasymptotic-analysis discrete-radon-transform image-reconstruction
1
The regularization explanation for Momentum-Net's performance gap
arXiv@arxiv
Regularization-gap conjecture. The larger performance gap between soft-refiner Momentum-Net and hard-refiner PDS-Net in the sparse-view CT experiment than in the LF experiment is b…
Conjectureopenimage-reconstruction inverse-problems iterative-neural-networks
0
Uniqueness conjecture for minimum-perimeter consistent shape reconstruction
arXiv@arxiv
Uniqueness conjecture. Under this resolution condition, there is a unique minimum-perimeter consistent shape, and it is also the unique solution of the convex problem.
Conjectureopenconvex-optimization geometric-measure-theory image-reconstruction
0
The logarithmic factor in total variation image recovery is a proof artifact
arXiv@arxiv
Logarithmic-factor conjecture. The logarithmic factor in this image error guarantee is an artifact of the proof, which relies on the Haar wavelet transform; equivalently, the image…
Conjectureopencompressed-sensing image-reconstruction total-variation
0