561 research outputs found
Representation Synthesis by Probabilistic Many-Valued Logic Operation in Self-Supervised Learning
Self-supervised learning (SSL) using mixed images has been studied to learn
various image representations. Existing methods using mixed images learn a
representation by maximizing the similarity between the representation of the
mixed image and the synthesized representation of the original images. However,
few methods consider the synthesis of representations from the perspective of
mathematical logic. In this study, we focused on a synthesis method of
representations. We proposed a new SSL with mixed images and a new
representation format based on many-valued logic. This format can indicate the
feature-possession degree, that is, how much of each image feature is possessed
by a representation. This representation format and representation synthesis by
logic operation realize that the synthesized representation preserves the
remarkable characteristics of the original representations. Our method
performed competitively with previous representation synthesis methods for
image classification tasks. We also examined the relationship between the
feature-possession degree and the number of classes of images in the multilabel
image classification dataset to verify that the intended learning was achieved.
In addition, we discussed image retrieval, which is an application of our
proposed representation format using many-valued logic.Comment: This work has been submitted to the IEEE for possible publication.
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Robustness of predicted CMB fluctuations in Cartan gravity
The cosmology of the gravity rebuilding by the Cartan formalism is
investigated. This is called Cartan gravity. The well-known
gravity has been introduced to extend the standard cosmology, e.g. to explain
the cosmological accelerated expansion as the inflation. Cartan gravity
is based on the Riemann-Cartan geometry. The curvature can separate to two
parts, one is derived from the Levi-Civita connection and the other from the
torsion. Assuming the matter-independent spin connection, we have successfully
rewritten the action of Cartan gravity into the Einstein-Hilbert action
and a scalar field with canonical kinetic and potential terms without any
conformal transformations. This feature simplifies building and analysis of new
model of inflation. In this paper, we study two models, the power-law model and
logarithmic model, and evaluate fluctuations in the cosmological microwave
background (CMB) radiation. We found the robustness of CMB fluctuation by the
analytical computation and confirm this feature by the numerical calculation.Comment: 14pages, 4figure
Pb(Mg1/3Nb2/3)O3 (PMN) Relaxor: Dipole Glass or Nano-Domain Ferroelectric?
Combining our comprehensive investigations of polarization evolution,
soft-mode by Raman scattering and microstructure by TEM, and the results
reported in the literatures, we show that prototypical relaxor Pb(Mg1/3Nb2/3)O3
(PMN) is essentially ferroelectric for T<Tc~225 K. Its anomalous dielectric
behavior over a broad temperature range results from the reorientation of
domains in the crystal. A physic picture of the structure evolution in relaxor
is also revealed. It is found that nanometric ferroelectric domains (gennerally
called as polar nano-region (PNR)) interact cooperatively to form micrometric
domain. Such multiscale inhomogeneities of domain structure in addition to the
well-known inhomogeneities of chemical composition and local symmetry are
considered to play a crucial role in producing the enigmatic phenomena in
relaxor system.Comment: 16 pages, 10 figures;
http://www.intechopen.com/books/advances-in-ferroelectrics/pb-mg1-3nb2-3-o3-pmn-relaxor-dipole-glass-or-nano-domain-ferroelectric
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