6,516 research outputs found
Romans Supergravity from Five-Dimensional Holograms
We study five-dimensional superconformal field theories and their holographic
dual, matter-coupled Romans supergravity. On the one hand, some recently
derived formulae allow us to extract the central charges from deformations of
the supersymmetric five-sphere partition function, whose large N expansion can
be computed using matrix model techniques. On the other hand, the conformal and
flavor central charges can be extracted from the six-dimensional supergravity
action, by carefully analyzing its embedding into type I' string theory. The
results match on the two sides of the holographic duality. Our results also
provide analytic evidence for the symmetry enhancement in five-dimensional
superconformal field theories.Comment: 57 pages, 4 figures, 6 tables; v2: references adde
Little String Amplitudes (and the Unreasonable Effectiveness of 6D SYM)
We study tree level scattering amplitudes of four massless states in the
double scaled little string theory, and compare them to perturbative loop
amplitudes in six-dimensional super-Yang-Mills theory. The little string
amplitudes are computed from correlators in the cigar coset CFT and in N=2
minimal models. The results are expressed in terms of integrals of conformal
blocks and evaluated numerically in the alpha' expansion. We find striking
agreements with up to 2-loop scattering amplitudes of massless gluons in 6D
SU(k) SYM at a Z_k invariant point on the Coulomb branch. We comment on the
issue of UV divergence at higher loop orders in the gauge theory and discuss
the implication of our results.Comment: 58 pages, 5 figures, 3 tables, comments added, references adde
Topological Defect Lines and Renormalization Group Flows in Two Dimensions
We consider topological defect lines (TDLs) in two-dimensional conformal
field theories. Generalizing and encompassing both global symmetries and
Verlinde lines, TDLs together with their attached defect operators provide
models of fusion categories without braiding. We study the crossing relations
of TDLs, discuss their relation to the 't Hooft anomaly, and use them to
constrain renormalization group flows to either conformal critical points or
topological quantum field theories (TQFTs). We show that if certain
non-invertible TDLs are preserved along a RG flow, then the vacuum cannot be a
non-degenerate gapped state. For various massive flows, we determine the
infrared TQFTs completely from the consideration of TDLs together with modular
invariance.Comment: 101 pages, 63 figures, 2 tables; v3: minor changes, added footnotes
and references, published versio
Optimal Real-time Spectrum Sharing between Cooperative Relay and Ad-hoc Networks
Optimization based spectrum sharing strategies have been widely studied.
However, these strategies usually require a great amount of real-time
computation and significant signaling delay, and thus are hard to be fulfilled
in practical scenarios. This paper investigates optimal real-time spectrum
sharing between a cooperative relay network (CRN) and a nearby ad-hoc network.
Specifically, we optimize the spectrum access and resource allocation
strategies of the CRN so that the average traffic collision time between the
two networks can be minimized while maintaining a required throughput for the
CRN. The development is first for a frame-level setting, and then is extended
to an ergodic setting. For the latter setting, we propose an appealing optimal
real-time spectrum sharing strategy via Lagrangian dual optimization. The
proposed method only involves a small amount of real-time computation and
negligible control delay, and thus is suitable for practical implementations.
Simulation results are presented to demonstrate the efficiency of the proposed
strategies.Comment: One typo in the caption of Figure 5 is correcte
A Logitudinal Feature Selection Method Identifies Relevant Genes to Distinguish Complicated Injury and Uncomplicated Injury Over Time
Background: Feature selection and gene set analysis are of increasing interest in the field of bioinformatics. While these two approaches have been developed for different purposes, we describe how some gene set analysis methods can be utilized to conduct feature selection.
Methods: We adopted a gene set analysis method, the significance analysis of microarray gene set reduction (SAMGSR) algorithm, to carry out feature selection for longitudinal gene expression data.
Results: Using a real-world application and simulated data, it is demonstrated that the proposed SAMGSR extension outperforms other relevant methods. In this study, we illustrate that a gene’s expression profiles over time can be regarded as a gene set and then a suitable gene set analysis method can be utilized directly to select relevant genes associated with the phenotype of interest over time.
Conclusions: We believe this work will motivate more research to bridge feature selection and gene set analysis, with the development of novel algorithms capable of carrying out feature selection for longitudinal gene expression data
Weighted-SAMGSR: Combining Significance Analysis of Microarray-Gene Set Reduction Algorithm with Pathway Topology-Based Weights to Select Relevant Genes
Background: It has been demonstrated that a pathway-based feature selection method that incorporates biological information within pathways during the process of feature selection usually outperforms a gene-based feature selection algorithm in terms of predictive accuracy and stability. Significance analysis of microarray-gene set reduction algorithm (SAMGSR), an extension to a gene set analysis method with further reduction of the selected pathways to their respective core subsets, can be regarded as a pathway-based feature selection method. Methods: In SAMGSR, whether a gene is selected is mainly determined by its expression difference between the phenotypes, and partially by the number of pathways to which this gene belongs. It ignores the topology information among pathways. In this study, we propose a weighted version of the SAMGSR algorithm by constructing weights based on the connectivity among genes and then combing these weights with the test statistics. Results: Using both simulated and real-world data, we evaluate the performance of the proposed SAMGSR extension and demonstrate that the weighted version outperforms its original version. Conclusions: To conclude, the additional gene connectivity information does faciliatate feature selection
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