7,718 research outputs found
Rebels Lead to the Doctrine of the Mean: Opinion Dynamic in a Heterogeneous DeGroot Model
We study an extension of the DeGroot model where part of the players may be
rebels. The updating rule for rebels is quite different with that of normal
players (which are referred to as conformists): at each step a rebel first
takes the opposite value of the weighted average of her neighbors' opinions,
i.e. 1 minus that average (the opinion space is assumed to be [0,1] as usual),
and then updates her opinion by taking another weighted average between that
value and her own opinion in the last round. We find that the effect of rebels
is rather significant: as long as there is at least one rebel in every closed
and strongly connected group, under very weak conditions, the opinion of each
player in the whole society will eventually tend to 0.5.Comment: 7 pages, Proceedings of The 6th International Conference on
Knowledge, Information and Creativity Support Systems, Beijing, 201
(E)-3-Bromo-N′-(2-chlorobenzylidene)benzohydrazide
The title compound, C14H10BrClN2O, was synthesized by the reaction of 2-chlorobenzaldehyde with an equimolar quantity of 3-bromobenzohydrazide in methanol. The molecule displays an E configuration about the C=N bond. The dihedral angle between the two benzene rings is 13.0 (2)°. In the crystal structure, molecules are linked through intermolecular N—H⋯O hydrogen bonds, forming chains propagating along the c axis
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Towards an Integrative Model of Destination Attachment: Dimensionality and Influence on Revisit Intention
Attachment is considered a universal human experience that occurs throughout the lifecycle, which provides an opportunity for both self-expression as well as connection to others. However, the greatest challenge for attachment researchers is to integrate diverse perspectives and approaches to define the construct. This study synthesized literature from relevant disciplines (i.e., psychology, marketing and human geography) to provide a comprehensive reflection upon the concept of destination attachment. A four-dimension construct of destination attachment was proposed, and its influence on revisit intention was also examined. This study provides an integrated view of the destination attachment definition, and further empirically examines the validity and reliability of the four-dimensional construct
Cutting the traintracks: Cauchy, Schubert and Calabi-Yau
In this note we revisit the maximal-codimension residues, or leading
singularities, of four-dimensional -loop traintrack integrals with massive
legs, both in Feynman parameter space and in momentum (twistor) space. We
identify a class of "half traintracks" as the most general degenerations of
traintracks with conventional (0-form) leading singularities, although the
integrals themselves still have rigidity due to
lower-loop "full traintrack'' subtopologies. As a warm-up exercise, we derive
closed-form expressions for their leading singularities both via (Cauchy's)
residues in Feynman parameters, and more geometrically using the so-called
Schubert problems in momentum twistor space. For -loop full traintracks, we
compute their leading singularities as integrals of -forms, which
proves that the rigidity is as expected; the form is given by an
inverse square root of an irreducible polynomial quartic with respect to each
variable, which characterizes an -dim Calabi-Yau manifold (elliptic
curve, K3 surface, etc.) for any . We also briefly comment on the
implications for the "symbology" of these traintrack integrals.Comment: refs updated; 36 pages, 12 figure
A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space
Abstract In this paper, the common solution problem (P1) of generalized equilibrium problems for a system of inverse-strongly monotone mappings and a system of bifunctions satisfying certain conditions, and the common fixed-point problem (P2) for a family of uniformly quasi-ϕ-asymptotically nonexpansive and locally uniformly Lipschitz continuous or uniformly Hölder continuous mappings are proposed. A new iterative sequence is constructed by using the generalized projection and hybrid method, and a strong convergence theorem is proved on approximating a common solution of (P1) and (P2) in Banach space. 2000 MSC: 26B25, 40A05</p
On constructibility of AdS supergluon amplitudes
We prove that all tree-level -point supergluon (scalar) amplitudes in
AdS can be recursively constructed, using factorization and flat-space
limit. Our method is greatly facilitated by a natural R-symmetry basis for
planar color-ordered amplitudes, which reduces the latter to "partial
amplitudes" with simpler pole structures and factorization properties. Given
the -point scalar amplitude, we first extract spinning amplitudes with
scalars and one gluon by imposing "gauge invariance", and then use a
special "no-gluon kinematics" to determine the -point scalar amplitude
completely (which in turn contains the -point single-gluon amplitude).
Explicit results of up to 8-point scalar amplitudes and up to 6-point
single-gluon amplitudes are included as supplemental materials.Comment: 5 pages, 4 figures, major revision from v2 including new ancillary
fil
Understanding Hidden Memories of Recurrent Neural Networks
Recurrent neural networks (RNNs) have been successfully applied to various
natural language processing (NLP) tasks and achieved better results than
conventional methods. However, the lack of understanding of the mechanisms
behind their effectiveness limits further improvements on their architectures.
In this paper, we present a visual analytics method for understanding and
comparing RNN models for NLP tasks. We propose a technique to explain the
function of individual hidden state units based on their expected response to
input texts. We then co-cluster hidden state units and words based on the
expected response and visualize co-clustering results as memory chips and word
clouds to provide more structured knowledge on RNNs' hidden states. We also
propose a glyph-based sequence visualization based on aggregate information to
analyze the behavior of an RNN's hidden state at the sentence-level. The
usability and effectiveness of our method are demonstrated through case studies
and reviews from domain experts.Comment: Published at IEEE Conference on Visual Analytics Science and
Technology (IEEE VAST 2017
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