In this paper, we present a solution to Large-Scale Video Classification Challenge (LSVC2017) [1] that ranked the 1st place. We focused on a variety of modalities that cover visual, motion and audio. Also, we visualized the aggregation process to better understand how each modality takes effect. Among the extracted modalities, we found Temporal-Spatial features calculated by 3D convolution quit...

In this paper, we consider two-scale limits obtained with increasing homogenization periods, each period being an entire multiple of the previous one. We establish that, up to a measure preserving rearrangement, these two-scale limits form a martingale which is bounded: the rearranged two-scale limits themselves converge both strongly in L2 and almost everywhere when the period tends to +∞. Thi...

We prove two stability results for the scale invariant solutions of the nonlinear heat equation ∂ t u = ∆u−|u| p−1 u with 1 < p < 1+ 2 n , n being the spatial dimension. The first result is that a small perturbation of a scale invariant solution vanishes as t → ∞. The second result is global, with a positivity condition on the initial data.

Introduction A longstanding debate in tonal phonology concerns how to characterize the relative nature of tone. Two types of tonal relativity are observed. First, tones are relative to a speaker’s pitch range. Thus a canonical lexical High tone is higher in a given speaker’s pitch range than a canonical lexical Low tone in the same position. Second, tones are relative to one another in sequence...

While you have probably used tensors of rank 1, i.e vectors, in special relativity, relativity is most efficiently expressed in terms of tensor algebra. General relativity, however, requires tensor algebra in a general curvilinear coordinate system. Before discussing special relativity, it will be useful to introduce some of the mathematics of differential forms in a general curvilinear set of ...

It is discussed whether some of the consistency problems of present–day physics could be solved by replacing special relativity, whose underlying kinematics is ruled by the Poincaré group, by de Sitter relativity, with underlying kinematics ruled by the de Sitter group. In contrast to ordinary special relativity, which seems to fail at the Planck scale, this new relativity is “universal” in the...

We determine the radial excitation energy (2S-1S splitting)in the Upsilon spectrum using NRQCD b quarks on MILC configurations. We have statistical fitting errors of around 1% across a range of lattice spacing values using random wall sources, and this allows us to give improved determinations of the physical value of the heavy quark potential parameter r1. We also show improved results for the...

1 Relativity and interactivity The Buddhist principle that all is empty is understood by some as the principle that all is relative [Thurman (1993)]. This universal relativity principle is more embracing though less structured than Einstein’s general relativity principle, which still admits many absolutes. It is worth considering seriously. A philosophical argument for a universal relativity co...