General formula for finding Mexican hat wavelets by virtue of Dirac's representation theory and coherent state

The admissibility condition of a mother wavelet is explored in the context of quantum optics theory. By virtue of Dirac's representation theory and the coherent state' property we derive a general formula for finding Mexican hat wavelets.Comment: 8 pages, 4 figure

Richly Activated Graph Convolutional Network for Action Recognition with Incomplete Skeletons

Current methods for skeleton-based human action recognition usually work with completely observed skeletons. However, in real scenarios, it is prone to capture incomplete and noisy skeletons, which will deteriorate the performance of traditional models. To enhance the robustness of action recognition models to incomplete skeletons, we propose a multi-stream graph convolutional network (GCN) for exploring sufficient discriminative features distributed over all skeleton joints. Here, each stream of the network is only responsible for learning features from currently unactivated joints, which are distinguished by the class activation maps (CAM) obtained by preceding streams, so that the activated joints of the proposed method are obviously more than traditional methods. Thus, the proposed method is termed richly activated GCN (RA-GCN), where the richly discovered features will improve the robustness of the model. Compared to the state-of-the-art methods, the RA-GCN achieves comparable performance on the NTU RGB+D dataset. Moreover, on a synthetic occlusion dataset, the performance deterioration can be alleviated by the RA-GCN significantly.Comment: Accepted by ICIP 2019, 5 pages, 3 figures, 3 table

gg-wave Pairing in BiS2_2 Superconductors

Recent angle resolved photoemission spectroscopy(ARPES) experiments have suggested that BiS$_2$ based superconductors are at very low electron doping. Using random phase approximation(RPA) and functional renormalization group(FRG) methods, we find that $g$-wave pairing symmetry belonging to A$_{2g}$ irreducible representation is dominant at electron doping $x<0.25$. The pairing symmetry is determined by inter-pocket nesting and orbital characters on the Fermi surfaces and is robust in a two-orbital model including both Hund's coupling $J$, and Hubbard-like Coulomb interactions $U$ and $U'$ with relatively small $J$ ($J\leq0.2U$). With the increasing electron doping, the g-wave state competes with both the s-wave $A_{1g}$ and d-wave $B_{2g}$ states and no pairing symmetry emerges dominantly.Comment: published version, EPL(editor's choice

Configuring innovative societies: the crossvergent role of cultural and institutional varieties

The study aims to explore why some societies are more innovative than others in high-technology sectors. Following a crossvergence perspective, we generate nine causal conditions by accommodating both cultural and institutional varieties: uncertainty avoidance, masculinity, individualism and power distance as culture indicators, and union density, skill development, market capitalization to credit, prevalence of cluster and state dominance as institutional indicators. Applying the configurational approach, we conducted fuzzy-set qualitative comparative analysis (fsQCA) on Organisation for Economic Co-operation and Development (OECD) member countries. We confirm the equal importance of both cultural and institutional mechanisms as contributors to national innovativeness, and identify equifinal configurations of cultural and institutional varieties as leading to a high-tech society. The implication is that a society can adjust or develop various cultural and/or institutional conditions to maintain or create leadership in innovation