500 research outputs found
On the harmonic Boltzmannian waves in laser-plasma interaction
We study the permanent regimes of the reduced Vlasov-Maxwell system for
laser-plasma interaction. A non-relativistic and two different relativistic
models are investigated. We prove the existence of solutions where the
distribution function is Boltzmannian and the electromagnetic variables are
time-harmonic and circularly polarized
Unrolled primal-dual networks for lensless cameras
Conventional models for lensless imaging assume that each measurement results from convolving a given scene with a single experimentally measured point-spread function. These models fail to simulate lensless cameras truthfully, as these models do not account for optical aberrations or scenes with depth variations. Our work shows that learning a supervised primal-dual reconstruction method results in image quality matching state of the art in the literature without demanding a large network capacity. We show that embedding learnable forward and adjoint models improves the reconstruction quality of lensless images (+5dB PSNR) compared to works that assume a fixed point-spread function
Mining remittances corresponding to metalliferous ores: regulation and budget impact
Economic statistics and forecasting show that Romania has a very favourable potential as far as the metalliferous ores are concerned. As these are owned by the state, once they are allowed to be exploited, they generate considerable amounts for the consolidated public budget. The present paper is meant to conduct a synthetic analysis on the topic of mining remittances from an economic perspective, by considering the juridical framework of capitalizing deposits of ferrous and non-ferrous ores, correlated with the general regulations concerning property and the specific existing regulations of the EU and of the countries that have experience and potential in the mining sector
Mining remittances corresponding to metalliferous ores: regulation and budget impact
Economic statistics and forecasting show that Romania has a very favourable potential as far as the metalliferous ores are concerned. As these are owned by the state, once they are allowed to be exploited, they generate considerable amounts for the consolidated public budget. The present paper is meant to conduct a synthetic analysis on the topic of mining remittances from an economic perspective, by considering the juridical framework of capitalizing deposits of ferrous and non-ferrous ores, correlated with the general regulations concerning property and the specific existing regulations of the EU and of the countries that have experience and potential in the mining sector
Holonomic functions of several complex variables and singularities of anisotropic Ising n-fold integrals
Lattice statistical mechanics, often provides a natural (holonomic) framework
to perform singularity analysis with several complex variables that would, in a
general mathematical framework, be too complex, or could not be defined.
Considering several Picard-Fuchs systems of two-variables "above" Calabi-Yau
ODEs, associated with double hypergeometric series, we show that holonomic
functions are actually a good framework for actually finding the singular
manifolds. We, then, analyse the singular algebraic varieties of the n-fold
integrals , corresponding to the decomposition of the magnetic
susceptibility of the anisotropic square Ising model. We revisit a set of
Nickelian singularities that turns out to be a two-parameter family of elliptic
curves. We then find a first set of non-Nickelian singularities for and , that also turns out to be rational or ellipic
curves. We underline the fact that these singular curves depend on the
anisotropy of the Ising model. We address, from a birational viewpoint, the
emergence of families of elliptic curves, and of Calabi-Yau manifolds on such
problems. We discuss the accumulation of these singular curves for the
non-holonomic anisotropic full susceptibility.Comment: 36 page
The Beta Ansatz: A Tale of Two Complex Structures
Brane tilings, sometimes called dimer models, are a class of bipartite graphs on a torus which encode the gauge theory data of four-dimensional SCFTs dual to D3-branes probing toric Calabi-Yau threefolds. An efficient way of encoding this information exploits the theory of dessin d’enfants, expressing the structure in terms of a permutation triple, which is in turn related to a Belyi pair, namely a holomorphic map from a torus to a P1 with three marked points. The procedure of a-maximization, in the context of isoradial embeddings of the dimer, also associates a complex structure to the torus, determined by the R-charges in the SCFT, which can be compared with the Belyi complex structure. Algorithms for the explicit construction of the Belyi pairs are described in detail. In the case of orbifolds, these algorithms are related to the construction of covers of elliptic curves, which exploits the properties of Weierstraß elliptic functions. We present a counter example to a previous conjecture identifying the complex structure of the Belyi curve to the complex structure associated with R-charges
Solving Phase Retrieval with a Learned Reference
Fourier phase retrieval is a classical problem that deals with the recovery
of an image from the amplitude measurements of its Fourier coefficients.
Conventional methods solve this problem via iterative (alternating)
minimization by leveraging some prior knowledge about the structure of the
unknown image. The inherent ambiguities about shift and flip in the Fourier
measurements make this problem especially difficult; and most of the existing
methods use several random restarts with different permutations. In this paper,
we assume that a known (learned) reference is added to the signal before
capturing the Fourier amplitude measurements. Our method is inspired by the
principle of adding a reference signal in holography. To recover the signal, we
implement an iterative phase retrieval method as an unrolled network. Then we
use back propagation to learn the reference that provides us the best
reconstruction for a fixed number of phase retrieval iterations. We performed a
number of simulations on a variety of datasets under different conditions and
found that our proposed method for phase retrieval via unrolled network and
learned reference provides near-perfect recovery at fixed (small) computational
cost. We compared our method with standard Fourier phase retrieval methods and
observed significant performance enhancement using the learned reference.Comment: Accepted to ECCV 2020. Code is available at
https://github.com/CSIPlab/learnPR_referenc
Fast construction of irreducible polynomials over finite fields
International audienceWe present a randomized algorithm that on input a finite field with elements and a positive integer outputs a degree irreducible polynomial in . The running time is elementary operations. The in is a function of that tends to zero when tends to infinity. And the in is a function of that tends to zero when tends to infinity. In particular, the complexity is quasi-linear in the degree
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