19,204 research outputs found
Some sharp inequalities involving Seiffert and other means and their concise proofs
In the paper, by establishing the monotonicity of some functions involving
the sine and cosine functions, the authors provide concise proofs of some known
inequalities and find some new sharp inequalities involving the Seiffert,
contra-harmonic, centroidal, arithmetic, geometric, harmonic, and root-square
means of two positive real numbers and with .Comment: 10 page
Geometric convexity of the generalized sine and the generalized hyperbolic sine
In the paper, the authors prove that the generalized sine function
and the generalized hyperbolic sine function
are geometrically concave and geometrically convex, respectively. Consequently,
the authors verify a conjecture posed in the paper "B. A. Bhayo and M.
Vuorinen, On generalized trigonometric functions with two parameters, J.
Approx. Theory 164 (2012), no.~10, 1415\nobreakdash--1426; Available online at
\url{http://dx.doi.org/10.1016/j.jat.2012.06.003}".Comment: 5 page
Cross-Modal Message Passing for Two-stream Fusion
Processing and fusing information among multi-modal is a very useful
technique for achieving high performance in many computer vision problems. In
order to tackle multi-modal information more effectively, we introduce a novel
framework for multi-modal fusion: Cross-modal Message Passing (CMMP).
Specifically, we propose a cross-modal message passing mechanism to fuse
two-stream network for action recognition, which composes of an appearance
modal network (RGB image) and a motion modal (optical flow image) network. The
objectives of individual networks in this framework are two-fold: a standard
classification objective and a competing objective. The classification object
ensures that each modal network predicts the true action category while the
competing objective encourages each modal network to outperform the other one.
We quantitatively show that the proposed CMMP fuses the traditional two-stream
network more effectively, and outperforms all existing two-stream fusion method
on UCF-101 and HMDB-51 datasets.Comment: 2018 IEEE International Conference on Acoustics, Speech and Signal
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