2 citations · 2 across the 7 of their papers we have counts for
8 papers
Learned Dictionaries with Total Variation and Non-Negativity for Single-Cell Microscopy: Convergence Theory and Deterministic Multi-Channel Cell Feature Unification
Erdem Altuntac
We introduce a variational dictionary learning algorithm with hybrid penalization for single-cell microscopy signals. The cost functional couples least-squares data fidelity with t…
New Pair of Primal Dual Algorithms for Bregman Iterated Variational Regularization
Erdem Altuntac
Primal-dual splitting involving proximity operators in order to be able to find some approximation to the minimizer for a general form of Tikhonov type functional is in the focus o…
Choice of the Parameters in A Primal-Dual Algorithm for Bregman Iterated Variational Regularization
Erdem Altuntac
Focus of this work is solving a non-smooth constraint minimization problem by a primal-dual splitting algorithm involving proximity operators. The problem is penalized by the Bregm…
Generalized Variational Source Condition Associated with the Bregman Distance-I: Verification of the Variational Source Condition and Stability of the Total Error Estimation
Erdem Altuntac
A general deterministic analysis to state the necessary conditions with a coefficient determination for the variational source condition to hold is provided. Of particular interest…
Variational Convergence Analysis With Smoothed-TV Interpretation
Erdem Altuntac
The problem of minimizing the least squares functional with a Fréchet differentiable, lower semi-continuous, convex penalizer is considered to be solved. The penalizer maps the…
Quasi-Newton Approach for an Atmospheric Tomography Problem
Erdem Altuntac
This work studies the usage of well-known smoothed total variation regularization for solving an atmospheric tomography problem named as {\em GPS-tomography} in some quasi-Newton m…