Bioluminescence tomography (BLT) has a great potential to provide a powerful tool for tumor detection, monitoring tumor therapy progress, and drug development; developing new reconstruction algorithms will advance the technique to practical applications. In the paper, we propose a BLT reconstruction algorithm by combining SP(3) equations and Bregman iteration method to improve the quality of re...

We consider the l1-regularized Markowitz model, where a l1-penalty term is added to the objective function of the classical mean-variance one to stabilize the solution process, promoting sparsity in the solution and avoiding short positions. In this paper, we consider the Bregman iteration method to solve the related constrained optimization problem. We propose an iterative algorithm based on a...

we prove a strong convergence theorem for the modified noor iterations‎ ‎in the framework of cat(0) spaces‎. ‎our results extend and improve the corresponding results of‎ ‎x‎. ‎qin‎, ‎y‎. ‎su and m‎. ‎shang‎, ‎t‎. ‎h‎. ‎kim and h‎. ‎k‎. ‎xu and s‎. ‎saejung‎ ‎and some others‎.

We consider the infinite-horizon γ-discounted optimal control problem formalized by Markov Decision Processes. Running any instance of Modified Policy Iteration—a family of algorithms that can interpolate between Value and Policy Iteration—with an error at each iteration is known to lead to stationary policies that are at least 2γ (1−γ)2 -optimal. Variations of Value and Policy Iteration, that ...