Local sensitivity analysis for the Cucker-Smale model with random inputs

We present pathwise flocking dynamics and local sensitivity analysis for the Cucker-Smale(C-S) model with random communications and initial data. For the deterministic communications, it is well known that the C-S model can model emergent local and global flocking dynamics depending on initial data and integrability of communication function. However, the communication mechanism between agents are not a priori clear and needs to be figured out from observed phenomena and data. Thus, uncertainty in communication is an intrinsic component in the flocking modeling of the C-S model. In this paper, we provide a class of admissible random uncertainties which allows us to perform the local sensitivity analysis for flocking and establish stability to the random C-S model with uncertain communication.Comment: 32 page

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Department of Biomedical EngineeringImage stitching is a well-known method to make panoramic image which has a wide field-of-view and high resolution. It has been used in various fields such as digital map, gigapixel imaging, and 360-degree camera. However, commercial stitching tools often fail, require a lot of processing time, and only work on certain images. The problems of existing tools are mainly caused by trying to stitch the wrong image pair. To overcome these problems, it is important to select suitable image pair for stitching in advance. Nevertheless, there are no universal standards to judge the good image pairs. Moreover, the derived stitching algorithms cannot be compatible with each other because they conform to their own available criteria. Here, we present universal stitching parameters and their conditions for selecting good image pairs. The proposed stitching parameters can be easily calculated through analysis of corresponding features and homography, which are basic elements in feature-based image stitching algorithm. In order to specify the conditions of the stitching parameters, we devised a new method to calculate stitching accuracy for qualifying stitching results into 3 classesgood, bad, and fail. With the classed stitching results, the values of the stitching parameters could be checked how they differ in each class. Through experiments with large datasets, the most valid parameter for each class is identified as filtering level which is calculated in corresponding feature analysis. In addition, supplemental experiments were conducted with various datasets to demonstrate the validity of the filtering level. As a result of our study, universal stitching parameters can judge the success of stitching, so that it is possible to prevent stitching errors through parameter verification test in advance. This paper can greatly contribute to guide for creating high performance and high efficiency stitching software by applying the proposed stitching conditions.ope

What can we explore to enhance the ROK-U.S. alliance?

노트 : Keynote speech presented by Hon. Jin Ha Hwang “New areas of cooperation in the US-ROK alliance” 행사명 : New areas of cooperation in the US-ROK allianc

“Comfort Women Wanted”: Uncovering Violent Past and Entering New Age of Activism Through Visual Language

During the Japanese occupation of Korea in the early 1900s, approximately 200,000 young Korean women were coerced into serving as sex slaves for the Japanese soldiers. Known as comfort women, much of their existence and stories was obscured until recently. With only 55 of these women still surviving, the need to raise awareness of their experience has never been greater. What role has art played in this effort, and how has it been used to create a discourse between older and newer generations, as a physical evidence of their emotional scars, and as a healing mechanism? In addition, what does early modern Japanese erotica known as shunga reveal about attitudes toward sex and women in Japanese culture

Study of controlled release of active pharmaceutical ingredients from functionalized nanoclays and polymer matrices

This dissertation contains the results of three related novel investigations in the field of structure-property-processing relationships of pharmaceutical polymer-based products. They are: a) modification of a pharmaceutical anionic nanoclay with two different Active Pharmaceutical Ingredients (APIs) to produce nanohybrid API carriers intended to be used alone or in acrylic polymer matrices, b) comparison of binary systems containing the above APIs in the selected acrylic polymers in terms of their miscibilities with the polymer, but in the absence of nanoclay, and c) comparison of the polymer/API binary systems with ternary polymer/API/Clay systems. For the first study, the calcination method which can be directly applied to carbonated hydrotalcite was used and successfully achieved API intercalations. During reconsitution of the clay, the crystalline APIs in the clay interlayer was apparently transformed in an amorphous state, and as a result it showed increased apparent solubility in the simulated body fluids. The second study dealt with API-polymer miscible or immiscible systems prepared by different mixing methods. The selected APIs have low solubility at the low pH of the aqueous medium and different solubility parameters by comparison with the polymer. The Eudragit® E100/ DIK-Na+ mixture produced by batch melt mixing showed an API solid dispersion whereas the Eudragit® E100/ IND system produced an API solid solution. These different morphologies were anticipated by calculating API and polymer solubility parameters and were confirmed by several analytical methods. The miscible API-polymer system showed better apparent solubility in the aqueous media. In order to confirm the effect on apparent solubility of the different API physical states differing in particle size or crystallinity, solvent casting and twin screw extruder mixing were also compared with batch mixing. The amorphous API in the polymer matrix showed improved apparent solubility as compared to its crystalline state. This confirmed that the state of API in the polymer matrix is the most important factor to increase its apparent aqueous solubility. The third segment of this research focused on the API release from the ternary system (API/clay/polymer) produced by hot melt mixing. A novel approach in order to have a sustained API release by utilizing the nanoclays was attempted. Since the API present in the clay interspacing may experience one more step in its release by diffusion as compared to the binary system, the API from the ternary system showed a slower and more controlled release than the one from the binary system. Controlled API release from such a ternary system produced by hot melt mixing, to the best of our knowledge, has not been reported in the literature. The mechanisms of APIs release in solution from the aforementioned systems were identified by using the Korsmeyer-Peppas (Power law) and Peppas-Sahlin models