Given a heterogeneous social network, can we forecast its future? Can we predict who will start using a given hashtag on twitter? Can we leverage side information, such as who retweets or follows whom, to improve our membership forecasts? We present
TENSORCAST, a novel method that forecasts time-evolving networks more accurately than the current state of the art methods by incorporating multiple data sources in coupled tensors. TENSORCAST is (a) scalable, being linearithmic on the number of connections; (b) effective, achieving over 20% improved precision on top-1000 forecasts of community members; (c) general, being applicable to data sources with a different structure. We run our method on multiple real-world networks, including DBLP and a Twitter temporal network with over 310 million nonzeros, where we predict the evolution of the activity of the use of political hashtags.
In this paper, we define tensors and space Riemann spaces and
fixed curvature, and offer a study of some cases associated
with the search topic, the basic function is to study the
relationships that remain valid when the coordinates system
change to another system.
In this paper devined parablically Sasakei space, and
found necessary and sufficient conditions in order to exist
geodesic mapping between tow Sasakei spaces , and broved
that necessary and sufficien conditions to exist geodesic
mapping between t
ow Sasakie spaces with equivalent affinors
are equidistant .
A finally fond that is , if exist geodesic mappings between
tow constant corvator parablically Sasakei spaces to there
Rich tensors are proportional.
in this paper we:
1) defined Riemannian space , conformal mapping, Einstein
space , Ricci recurrent Einstein space.
2) study conformal mapping between Einstein spaces
corresponding flat surface, and Ricci recurrent Einstein
space.
In this search, we have calculated thetransverse component of energy distortion in
elasticity wave modes of quantum liquid, by using Landau's theory in Fermi liquid taken
in consideration the effect of transverse component of an external disturbanc
e on the
liquid. We calculated the current density related to this component, and the stress tensor
component according with this state.In our search we have been considered the
temperature is low enough since the relation is true, where is the Fermi
temperature.
We have compared the response of the liquid, for transverse componentof the
external disturbance, with its response for longitudinal one in same conditions, by studding
the transverse and longitudinal shear modulus (which equivalent these responses) as
functions of the frequency and wave vector of the external disturbance. We have
found in general that these responses are different, but they become equal in particular
case , where the velocity on Fermi surface, and in this case the
viscoelastic model hypotheses become true.
