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Distributed Majorization-Minimization for Laplacian Regularized Problems

IEEE/CAA Journal of Automatica Sinica 2019年第1期6卷 45-52页

作者： Jonathan Tuck david hallac Stephen Boyd IEEE the Department of Electrical Engineering Stanford University

We consider the problem of minimizing a block separable convex function(possibly nondifferentiable, and including constraints) plus Laplacian regularization, a problem that arises in applications including model fitting, regularizing stratified models, and multi-period portfolio optimization. We develop a distributed majorization-minimization method for this general problem, and derive a complete, self-contained, general,and simple proof of convergence. Our method is able to scale to very large problems, and we illustrate our approach on two applications, demonstrating its scalability and accuracy.

关键词： Convex optimization distributed optimization graphical networks Laplacian regularization

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Economical effect of lumen apposing metal stents for treating benign foregut strictures

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World Journal of Gastrointestinal Endoscopy 2018年第10期10卷 294-300页

作者： Alexander hallac Wichit Srikureja Eashen Liu Parag Dhumal Ashish Thatte Nishant Puri Providence Gastroenterology SpokaneWa 99204United States College of Business Economics and ComputingUniversity of Wisconsin-ParksideKenoshaWI 53144United States School of Business Administration Gonzaga UniversitySpokaneWa 99258United States

AIM To evaluate the clinical and economical efficacy of lumen apposing metal stent(LAMS) in the treatment of benign foregut *** A single center retrospective database of patients who underwent endoscopic treatment of benign foregut strictures between January 2014 and May 2017 was analyzed. A control group of non-stented patients who underwent three endoscopic dilations was compared to patients who underwent LAMS placement. Statistical tests performed included independent t-tests and fiveparameter regression analysis RESULTS Nine hundred and ninety-eight foregut endoscopic dilations were performed between January 2014 and May 2017. 15 patients underwent endoscopic LAMS placement for treatment of benign foregut stricture. Thirty-six patients with recurrent benign foregut strictures underwent three or more endoscopic dilations without stent placement. The cost ratio of endoscopic dilation to LAMS(stent, placement and retrieval) is 5.77. Cost effective analysis demonstrated LAMS to be economical after three endoscopic dilation *** was cost effective after two dilations in the Postsurgical stricture subgroup. CONCLUSION Endoscopists should consider LAMS for the treatment of benign foregut strictures if symptoms persist past three endoscopic dilations. Post-surgical strictures may benefit from LAMS if symptoms persist after two dilations in a post-surgical. Early intervention with LAMS appears to be a clinically and economically viable option for durable symptomatic relief in patients with these strictures.

关键词： Benign esophageal stricture Endoscopy economics Stent economics Self expandable metallic stents Esophageal diseases

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