LINGFANG ZENG, CHAO JIN, BHARADWAJ VEERAVALLI AND DAN FENG Wuhan National Laboratory for Optoelectronics School of Computer Huazhong University of Science and Technology Wuhan, 430074 P.R. China Data Storage Institute 117608 Singapore Department of Electrical and Computer Engineering National University of Singapore 117576 Singapore E-mail: {lfzeng; dfeng}@hust.edu.cn; [email protected]...

After 100 years of effort, the classification of all the finite subgroups of SU(3) is yet incomplete. The most recently updated list can be found in [3], where the structure of the series (C) and (D) of SU(3)-subgroups is studied. We provide a minimal set of generators for one of these groups which has order 162. These generators appear up to phase as the image of an irreducible unitary braid g...

The topological structure of scalar, vector, and second-order tensor fields provides an important mathematical basis for data analysis and visualization. In this paper, we extend this framework towards higher-order tensors. First, we establish formal uniqueness properties for a geometrically constrained tensor decomposition. This allows us to define and visualize topological structures in symme...

We compute the group of Morita self-equivalences (the Picard group) of a Poisson structure on an orientable surface, under the assumption that the degeneracies of the Poisson tensor are linear. The answer involves mapping class groups of surfaces, i.e., groups of isotopy classes of diffeomorphisms. We also show that the Picard group of these structures coincides with the group of outer Poisson ...

In a previous report we used the Linked Dipole Chain model unintegrated gluon densities to investigate the uncertainties in the predictions for central exclusive production of scalars at hadron colliders. Here we expand this investigation by also looking at other parameterizations of the unintegrated gluon density, and look in more detail on the behavior of these at small k⊥. We confirm our con...

Seeing others is a central metaphor in James Cameron’s film Avatar, used as a means to express empathy and empathic bonding throughout the film, both between humans and the Na’vi, and between the Na’vi and the animals that inhabit their world. Empathy entails an ability to see and feel the world from another’s perspective—feeling with rather than feeling for. Jake Sully’s shifting and boundary-...

This paper describes ongoing efforts at Linguistic Data Consortium to create shared evaluation resources for improved speech-to-text technology. The DARPA EARS Program (Effective, Affordable, Reusable Speech-to-Text) is focused on enabling core STT technology to produce rich, highly accurate output in a range of languages and speaking styles. The aggressive EARS program goals motivate new appro...

In this position paper we discuss some of the experiences we made in describing lexical data using representation formalisms that are compatible for the publication of such data in the Linked Data framework. While we see a huge potential in the emerging Linguistic Linked Open Data, also supporting the publication of less-resourced language data on the same platform as for mainstream languages, ...

Multimodel approaches are widely used with linear submodels, but border areas around submodels are problematic. Special cases of fuzzy linguistic equation models, which can be understood as linguistic Takagi-Sugeno (LTS) type fuzzy models, can be used to solve these problems in many cases. These models use a special nonlinear scaling approach for both inputs and outputs. The LTS models are robu...

We present a new probabilistic decision making model by using the 2-tuple linguistic representation approach. We introduce the 2tuple linguistic probabilistic ordered weighted averaging (2T-LPOWA) operator. We study some of its particular cases including the 2-tuple linguistic probabilistic aggregation and the 2tuple linguistic arithmetic OWA operator. We show an application of the new approach...