5,505 research outputs found
On Born-Infeld Gravity in Three Dimensions
In this paper we explore different aspects of three dimensional Born-Infeld
as well as Born-Infeld-Chern-Simons gravity. We show that the models have AdS
and AdS-wave vacuum solutions. Moreover we observe that although
Born-Infeld-Chern-Simons gravity admits a logarithmic solution, Born-Infeld
gravity does not, though it has a limiting logarithmic solution as we approach
the critical point.Comment: 12 page
High-Level Concepts for Affective Understanding of Images
This paper aims to bridge the affective gap between image content and the
emotional response of the viewer it elicits by using High-Level Concepts
(HLCs). In contrast to previous work that relied solely on low-level features
or used convolutional neural network (CNN) as a black-box, we use HLCs
generated by pretrained CNNs in an explicit way to investigate the
relations/associations between these HLCs and a (small) set of Ekman's
emotional classes. As a proof-of-concept, we first propose a linear admixture
model for modeling these relations, and the resulting computational framework
allows us to determine the associations between each emotion class and certain
HLCs (objects and places). This linear model is further extended to a nonlinear
model using support vector regression (SVR) that aims to predict the viewer's
emotional response using both low-level image features and HLCs extracted from
images. These class-specific regressors are then assembled into a regressor
ensemble that provide a flexible and effective predictor for predicting
viewer's emotional responses from images. Experimental results have
demonstrated that our results are comparable to existing methods, with a clear
view of the association between HLCs and emotional classes that is ostensibly
missing in most existing work
On Butterfly effect in Higher Derivative Gravities
We study butterfly effect in -dimensional gravitational theories
containing terms quadratic in Ricci scalar and Ricci tensor. One observes that
due to higher order derivatives in the corresponding equations of motion there
are two butterfly velocities. The velocities are determined by the dimension of
operators whose sources are provided by the metric. The three dimensional TMG
model is also studied where we get two butterfly velocities at generic point of
the moduli space of parameters. At critical point two velocities coincide.Comment: 16 pages, references adde
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