1,209,049 research outputs found
FRESH – FRI-based single-image super-resolution algorithm
In this paper, we consider the problem of single image super-resolution and propose a novel algorithm that outperforms state-of-the-art methods without the need of learning patches pairs from external data sets. We achieve this by modeling images and, more precisely, lines of images as piecewise smooth functions and propose a resolution enhancement method for this type of functions. The method makes use of the theory of sampling signals with finite rate of innovation (FRI) and combines it with traditional linear reconstruction methods. We combine the two reconstructions by leveraging from the multi-resolution analysis in wavelet theory and show how an FRI reconstruction and a linear reconstruction can be fused using filter banks. We then apply this method along vertical, horizontal, and diagonal directions in an image to obtain a single-image super-resolution algorithm. We also propose a further improvement of the method based on learning from the errors of our super-resolution result at lower resolution levels. Simulation results show that our method outperforms state-of-the-art algorithms under different blurring kernels
Gauge Fluxes in F-theory and Type IIB Orientifolds
We provide a detailed correspondence between G_4 gauge fluxes in F-theory
compactifications with SU(n) and SU(n)x(1) gauge symmetry and their Type IIB
orientifold limit. Based on the resolution of the relevant F-theory Tate models
we classify the factorisable G_4-fluxes and match them with the set of
universal D5-tadpole free U(1)-fluxes in Type IIB. Where available, the global
version of the universal spectral cover flux corresponds to Type IIB gauge flux
associated with a massive diagonal U(1). In U(1)-restricted Tate models extra
massless abelian fluxes exist which are associated with specific linear
combinations of Type IIB fluxes. Key to a quantitative match between F-theory
and Type IIB is a proper treatment of the conifold singularity encountered in
the Sen limit of generic F-theory models. We also shed further light on the
brane recombination process relating generic and U(1)-restricted Tate models.Comment: 53 pages, 3 figures; v2: Refs added; v3: minor corrections to match
version published in JHE
Dependent Types for Pragmatics
This paper proposes the use of dependent types for pragmatic phenomena such
as pronoun binding and presupposition resolution as a type-theoretic
alternative to formalisms such as Discourse Representation Theory and Dynamic
Semantics.Comment: This version updates the paper for publication in LEU
Renormalization Group Flows on D3 branes at an Orbifolded Conifold
We consider D3-branes at an orbifolded conifold whose horizon
resolves into a smooth Einstein manifold which joins several copies of . We describe in details the resolution of the singular horizon
and describe different types of two-cycles appearing in the resolution.
For a large number of D3 branes, the AdS/CFT conjecture becomes a duality
between type IIB string theory on and the
field theory living on the D3 branes. We study the fractional branes as small
perturbations of the string background and we reproduce the logarithmic flow of
field theory couplings by studying fluxes of NS-NS and R-R two forms through
different 2-cycles of the resolved horizon.Comment: Latex 22 pages with 3 eps file
Automated theorem proving in first-order logic modulo: on the difference between type theory and set theory
Resolution modulo is a first-order theorem proving method that can be applied
both to first-order presentations of simple type theory (also called
higher-order logic) and to set theory. When it is applied to some first-order
presentations of type theory, it simulates exactly higherorder resolution. In
this note, we compare how it behaves on type theory and on set theory
Five-Brane Effective Action In M-Theory
On the world-volume of an -theory five-brane propagates a two-form with
self-dual field strength. As this field is non-Lagrangian, there is no obvious
framework for determining its partition function. An analogous problem exists
in Type IIB superstring theory for the self-dual five-form. The resolution of
these problems and definition of the partition function is explained. A more
complete analysis of perturbative anomaly cancellation for -theory
five-branes is also presented, uncovering some surprising details.Comment: 41 pp, harvma
- …