• Nonlinear Functional Analysis and Applications
• /
• v.26 no.4
• /
• pp.749-780
• /
• 2021

In this paper, we give the notion of M(., .)-𝜂-proximal mapping for a nonconvex, proper, lower semicontinuous and subdifferentiable functional on Banach space and prove its existence and Lipschitz continuity. As an application, we introduce and investigate a new system of variational-like inclusions in Banach spaces. By means of M(., .)-𝜂-proximal mapping method, we give the existence of solution for the system of variational inclusions. Further, propose an iterative algorithm for finding the approximate solution of this class of variational inclusions. Furthermore, we discuss the convergence and stability analysis of the iterative algorithm. The results presented in this paper may be further expolited to solve some more important classes of problems in this direction.

• Maxillofacial Plastic and Reconstructive Surgery
• /
• v.37
• /
• pp.21.1-21.8
• /
• 2015

Computer Assisted Simulation Surgery (CASS) is a reliable method that permits oral and maxillofacial surgeons to visualize the position of the maxilla and the mandible as observed in the patient. The purpose of this report was to introduce a newly developed strategy for proximal segment management according to Balanced Orthognathic Surgery (BOS) protocol which is a type of CASS, and to establish the clinical feasibility of the BOS protocol in the treatment of complex maxillo-facial deformities. The BOS protocol consists of the following 4 phases: 1) Planning and simulation phase, 2) Modeling phase, 3) Surgical phase, and 4) Evaluation phase. The surgical interventions in 80 consecutive patients were planned and executed by the BOS protocol. The BOS protocol ensures accuracy during surgery, thereby facilitating the completion of procedures without any complications. The BOS protocol may be a complete solution that enables an orthognatic surgeon to perform accurate surgery based on a surgical plan, making real outcomes as close to pre-planned outcomes as possible.

• Restorative Dentistry and Endodontics
• /
• v.37 no.2
• /
• pp.114-118
• /
• 2012

Proximal caries or coronal defect in posterior teeth may result in the loss of proximal space and drifting of neighboring teeth, which makes restoration difficult. Inability to restore proper contours and to align tooth axis properly are commonly encountered problems when planning tooth restoration. Moreover, tilted teeth aggravate periodontal tissue breakdown, such as pseudo-pocket, and angular osseous defect. The purpose of this case presentation is to describe a simple technique for inducing minor tooth movement with orthodontic separating ring and provisional restoration modification. This method was used to create crown placement space on mesially tilted molar. This method is easy, simple and efficient technique which could be used in interproximal space gaining in selected situation.

• Journal of Practical Agriculture & Fisheries Research
• /
• v.6 no.1
• /
• pp.136-142
• /
• 2004

The method of insertion of T-type cannula into the proximal duodenum of cattle was established for the feed digestibility test. Five cattle were anesthetized with rumpun and 2% lidocaine. The incision(15 ~ 20 cm) through the abdominal wall exposing the peritoneal cavity was made. The identified duodenum was extracted through the abdominal incision. The cannula was inserted into the incised duodenal wall. Cannula barrel was extracted between the 10th and 11th rib. All of operated cattle were healthy and cannula remained completely functional until 20 months after a proximal duodenal cannulation.

• Archives of Reconstructive Microsurgery
• /
• v.11 no.1
• /
• pp.67-72
• /
• 2002

Purpose : Treatment of giant cell tumor of distal radius can be treated in several ways according to the agressiveness of the tumor. We treated 3 cases of widely involved giant cell tumor of distal radius with wide resection and proximal fibular graft and report the results with review of literatures. Material and Method : We have treated 3 cases of giant cell tumor of the distal radius since last 1990. Among 3 cases, two cases were grade III radiologically and treated by wide resection of distal radius and vascularized proximal fibular graft, and one case, grade II radiologically, treated by distal radial resection and non-vascularized proximal fibular graft. We followed up clinical results of above three cases 9 years, 12 years and 2 years. Result : In all three cases, tranplanted fibula graft showed solid union but grade III tumors recurred at 4 year and 6 year postoperatively. One of the case which recurred 4 year later was treated with secondary wide resection and wrist fusion with autogenous iliac bone graft, and didn't show any recurrent finding for these 5 years after re-operation. And another grade III, which recurred at 6th post-operative year, is under follow-up for 6 years after recur without 2nd operation. Grade II case didn't show any recurrent findings on 2 year follow-up. Conclusion : Grade III cases recurred at 4 year and 6 year follow-up. The cause of recurrence was thought to be invasion of remaining tumor cell in the soft tissue. To prevent recurrence, complete resection of primary tumor was necessary.

• Journal of the Korean Mathematical Society
• /
• v.55 no.3
• /
• pp.719-734
• /
• 2018

An image restoration problem with Poisson noise arises in many applications of medical imaging, astronomy, and microscopy. To overcome ill-posedness, Total Variation (TV) model is commonly used owing to edge preserving property. Since staircase artifacts are observed in restored smooth regions, higher-order TV regularization is introduced. However, sharpness of edges in the image is also attenuated. To compromise benefits of TV and higher-order TV, the weighted sum of the non-convex TV and non-convex higher order TV is used as a regularizer in the proposed variational model. The proposed model is non-convex and non-smooth, and so it is very challenging to solve the model. We propose an iterative reweighted algorithm with the proximal linearized alternating direction method of multipliers to solve the proposed model and study convergence properties of the algorithm.

• Nonlinear Functional Analysis and Applications
• /
• v.28 no.1
• /
• pp.175-203
• /
• 2023

In this paper, we study an iterative algorithm that is based on inertial proximal and contraction methods embellished with relaxation technique, for finding common solution of monotone variational inclusion, and fixed point problems of pseudocontractive mapping in real Hilbert spaces. We establish a strong convergence result of the proposed iterative method based on prediction stepsize conditions, and under some standard assumptions on the algorithm parameters. Finally, some special cases of general problem are given as applications. Our results improve and generalized some well-known and related results in literature.

• Communications for Statistical Applications and Methods
• /
• v.31 no.2
• /
• pp.203-212
• /
• 2024

The area under the ROC curve (AUC) is one of the most common criteria used to measure the overall performance of binary classifiers for a wide range of machine learning problems. In this article, we propose a L₁-penalized AUC-optimization classifier that directly maximizes the AUC for high-dimensional data. Toward this, we employ the AUC-consistent surrogate loss function and combine the L₁-norm penalty which enables us to estimate coefficients and select informative variables simultaneously. In addition, we develop an efficient optimization algorithm by adopting k-means clustering and proximal gradient descent which enjoys computational advantages to obtain solutions for the proposed method. Numerical simulation studies demonstrate that the proposed method shows promising performance in terms of prediction accuracy, variable selectivity, and computational costs.

• The Academic Congress of Korean Shoulder and Elbow Society
• /
• 2000.03a
• /
• pp.64-68
• /
• 2000

• Restorative Dentistry and Endodontics
• /
• v.18 no.1
• /
• pp.55-72
• /
• 1993

The aim of this study was to compare the marginal leakage of class II light curing composite resin restoration according to filling methods. With using acid etching technique and dentin bonding agent, various methods were suggested to eliminate or reduce the marginal leakage. In this study, class II cavities were prepared in 100 extracted human premolars with cementum margin(1mm below the CEJ) and the teeth were randomly assigned to 5 groups of 20 teeth each. The teeth in group 1, 2, 3 and 4 were restored by direct filling methods using P-50 and Clearfil Photoposterior of 10 teeth each, but the method of insertion of the restorative materials varied with each group. And the teeth in group 5 were restored by inlay method using Kulzer Inlay and CR Inlay. Filling methods are as follows : Group 1 : The composite resin was inserted in one layer in the proximal box and one layer in the occlusal portion. Group 2 : Insertion was in two equally thick horizontal layers in the proximal box. Group 3 : Insertion was in two diagonally placed layers in the proximal box. Group 4 : The composite resin was inserted in the same way as in group 3 except that a glass ionomer liner was first placed on the axial wall and gingival floor. Group 5 : The teeth were restored by Inlay technique using dure cure resin cement. All the teeth were thermocycled, stained with 1 % methylene blue solution, sectioned mesiodistally, and scored for marginal leakage. To compare the marginal leakage, ANOVA and T-test were used in analysis. The following results were obtained : 1. In direct filling methods, there was no significant difference in marginal leakage at both occlusal and cervical margins. 2. In all groups, occlusal margin showed significantly less leakage than cervical margin. 3. In group using glass ionomer liner, there was no significant reduction of marginal leakage at the cervical margin. 4. The group restored by inlay method showed significantly less marginal leakage than groups restored by direct filling methods at both occlusal and gingival margins. 5. There was no significant difference in each group according to filling materials.