Solutions to the complex Korteweg-de Vries equation: Blow-up solutions and non-singular solutions

In the paper two kinds of solutions are derived for the complex Korteweg-de Vries equation, including blow-up solutions and non-singular solutions. We derive blow-up solutions from known 1-soliton solution and a double-pole solution. There is a complex Miura transformation between the complex Korteweg-de Vries equation and a modified Korteweg-de Vries equation. Using the transformation, solitons, breathers and rational solutions to the complex Korteweg-de Vries equation are obtained from those of the modified Korteweg-de Vries equation. Dynamics of the obtained solutions are illustrated.Comment: 12 figure

Zoom-VQA: Patches, Frames and Clips Integration for Video Quality Assessment

Video quality assessment (VQA) aims to simulate the human perception of video quality, which is influenced by factors ranging from low-level color and texture details to high-level semantic content. To effectively model these complicated quality-related factors, in this paper, we decompose video into three levels (\ie, patch level, frame level, and clip level), and propose a novel Zoom-VQA architecture to perceive spatio-temporal features at different levels. It integrates three components: patch attention module, frame pyramid alignment, and clip ensemble strategy, respectively for capturing region-of-interest in the spatial dimension, multi-level information at different feature levels, and distortions distributed over the temporal dimension. Owing to the comprehensive design, Zoom-VQA obtains state-of-the-art results on four VQA benchmarks and achieves 2nd place in the NTIRE 2023 VQA challenge. Notably, Zoom-VQA has outperformed the previous best results on two subsets of LSVQ, achieving 0.8860 (+1.0%) and 0.7985 (+1.9%) of SRCC on the respective subsets. Adequate ablation studies further verify the effectiveness of each component. Codes and models are released in https://github.com/k-zha14/Zoom-VQA.Comment: Accepted by CVPR 2023 Worksho

Extreme Two-View Geometry From Object Poses with Diffusion Models

Human has an incredible ability to effortlessly perceive the viewpoint difference between two images containing the same object, even when the viewpoint change is astonishingly vast with no co-visible regions in the images. This remarkable skill, however, has proven to be a challenge for existing camera pose estimation methods, which often fail when faced with large viewpoint differences due to the lack of overlapping local features for matching. In this paper, we aim to effectively harness the power of object priors to accurately determine two-view geometry in the face of extreme viewpoint changes. In our method, we first mathematically transform the relative camera pose estimation problem to an object pose estimation problem. Then, to estimate the object pose, we utilize the object priors learned from a diffusion model Zero123 to synthesize novel-view images of the object. The novel-view images are matched to determine the object pose and thus the two-view camera pose. In experiments, our method has demonstrated extraordinary robustness and resilience to large viewpoint changes, consistently estimating two-view poses with exceptional generalization ability across both synthetic and real-world datasets. Code will be available at https://github.com/scy639/Extreme-Two-View-Geometry-From-Object-Poses-with-Diffusion-Models

Multi-wavelength study of the supernova remnant Kes 79 (G33.6+0.1): On its supernova properties and expansion into a molecular environment

Kes 79 (G33.6+0.1) is an aspherical thermal composite supernova remnant (SNR) observed across the electromagnetic spectrum and showing an unusual highly-structured morphology, in addition to harboring a central compact object (CCO). Using the CO J=1-0, J=2-1, and J=3-2 data, we provide the first direct evidence and new morphological evidence to support the physical interaction between the SNR and the molecular cloud at $V_LSR\sim 105$ km s$^{-1}$. We revisit the 380 ks XMM-Newton observations and perform a dedicated spatially resolved X-ray spectroscopic study with careful background subtraction. The overall X-ray-emitting gas is characterized by an under-ionized ($\tau_c \sim 6\times 10^{11}$ cm^${-3}$) cool ($kT_c \approx 0.20$ keV) plasma with solar abundances, plus an under-ionized ($\tau_h\sim 8\times 10^{10}$ cm$^{-3}$) hot ($kT_h\approx 0.80$ keV) plasma with elevated Ne, Mg, Si, S and Ar abundances. Kes 79 appears to have a double-hemisphere morphology viewed along the symmetric axis. Projection effect can explain the multiple shell structures and the thermal composite morphology. The X-ray filaments, spatially correlated with the 24 um IR filaments, are suggested to be due to the SNR shock interaction with dense gas, while the halo forms from SNR breaking out into a tenuous medium. The high-velocity, hot ($kT_h\sim 1.4$--1.6 keV) ejecta patch with high metal abundances, together with the non-uniform metal distribution across the SNR, indicating an asymmetric SN explosion of Kes 79. We refine the Sedov age to 4.4--6.7 kyr and the mean shock velocity to 730 km s$^{-1}$. Our multi-wavelength study suggests a progenitor mass of $\sim 15$--20 solar masses for the core-collapse explosion that formed Kes 79 and its CCO, PSR J1852+0040.Comment: 17 pages, 12 figures, 3 tables, published in Ap

An Exploratory Study of the Relationship among the High-level Management’s Security Awareness, Organizational Information Security Activities, and the Execution Level of Organizational Information Security

As the issue of information security becomes increasingly important, high-level management security awareness on operation of organizational information security activities is a significant factor in success. Hence, the aim of this research is to explore how the organizational information security activities are being influenced by high-level management security awareness, and to use information security standard BS7799 to evaluate the execution phase of organizational information security. Combining literature research, case study and the main security codes of BS7799, this paper proposes a conceptual model of high-level management security awareness, organizational information security activities and organizational information security standard in relation to each other. In our conclusion, we discovered that the higher the high-level management security awareness cognizance about industry risks, the implementation of security measures and the threats to organizational security not only facilitate the four information security activities of deterrence, prevention, detection and recovery, they also enhance the standard of organizational information security. In practice, the conclusion of this paper hopes to remind high-level management to be aware of the threats of human factors and also to strengthen risk evaluation and deterrence activity

A Study on Using Internet to Implement Constructivist Scaffolding Teaching for Research Method Course

“Scaffoldings” states to let teachers provide a temporary support to help the students developing their self-scaffolding, this temporary support (the scaffolds) might be a kind of teaching facility or teaching strategy, as the capability of the learner advanced, the learning responsibility will shift gradually to the student, finally the student can dominate his/her learning, and through learning he/she shall build up his/her own knowledge. In this study, Internet and the Constructivist Scaffolding Teaching Theories are applied to develop a teaching model based on the “Research Method”- a program for the first year in graduate school, so that information technologies can be applied to make up the teachers’ deficiencies in terms of energy, time and capability. On the other hand, taking the advantages of the traditional teaching model face-to-face communication, and interaction to make up the deficiencies of Internet teaching. To realize the effects of this instructional model, experimentation is adopted in this study. Differences of learning results between constructive scaffolding teaching model with Internet assistance (CSTMIA) and the traditional teaching model (TTM) are analyzed. The result of the study shows: (1) indeed the performance of the CSTMIA better improves the students’ learning achievement than that of the TTM, but it is not as good as the traditional teaching in terms of the learning performance, learning satisfaction and the growth of learning capabilities; (2) the result of the subsequent evaluation and analysis shows: based on the subjective realization from more than 60% of the students in the CSTMIA, they are positive toward the capability of such CSTMIA in the improvement of learning performance, learning achievement, learning satisfaction, interaction between teachers and the students, and the growth of learning capabilities, this proves that the CSTMIA implemented by this study helps improve the learning effect, strengthen the interaction between teachers and the students in certain extent. The contributions of this study are: (1) Based on the “Research Method” program, to develop that program’s Constructivist Scaffolding Teaching Model supplemented by Internet; (2) Based on the “Research Method” program, to see the influences of the Constructivist Scaffolding Teaching Model supplemented by Internet toward the learning performance, learning achievement, learning Satisfaction, interaction between teachers and the students, and the growth of learning capabilities