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We present a systematic analysis of the constraints $\sigma_\gamma$ on the mass profile slope $\gamma$ obtainable when fitting a singular power-law ellipsoid model to a typical strong lensing observation of an extended source. These results…

Astrophysics of Galaxies · Physics 2020-06-24 Conor M. O'Riordan , Stephen J. Warren , Daniel J. Mortlock

AIMS. While weak lensing cannot resolve cluster cores and strong lensing is almost insensitive to density profiles outside the scale radius, combinations of both effects promise to constrain density profiles of galaxy clusters well, and…

Astrophysics · Physics 2015-05-13 J. Merten , M. Cacciato , M. Meneghetti , C. Mignone , M. Bartelmann

Weak gravitational lensing is a powerful cosmological probe, with non--Gaussian features potentially containing the majority of the information. We examine constraints on the parameter triplet $(\Omega_m,w,\sigma_8)$ from non-Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Andrea Petri , Jia Liu , Zoltan Haiman , Morgan May , Lam Hui , Jan M. Kratochvil

Few-shot learning for fine-grained image classification has gained recent attention in computer vision. Among the approaches for few-shot learning, due to the simplicity and effectiveness, metric-based methods are favorably state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2021-02-03 Xiaoxu Li , Jijie Wu , Zhuo Sun , Zhanyu Ma , Jie Cao , Jing-Hao Xue

This article investigates structural, geometrical, and topological characterizations and properties of weakly modular graphs and of cell complexes derived from them. The unifying themes of our investigation are various `nonpositive…

Metric Geometry · Mathematics 2022-03-03 Jérémie Chalopin , Victor Chepoi , Hiroshi Hirai , Damian Osajda

We consider a definition of a weakly convex set which is a generalization of the notion of a weakly convex set in the sense of Vial and a proximally smooth set in the sense of Clarke, from the case of the Hilbert space to a class of Banach…

Functional Analysis · Mathematics 2010-07-02 Maxim V. Balashov , Dušan Repovš

Supersymmetry and Compositeness are two prevalent paradigms providing both a solution to the hierarchy problem and a motivation for a light Higgs boson state. As the latter has now been found, its dynamics can hold the key to disentangle…

High Energy Physics - Phenomenology · Physics 2018-12-11 Stefania De Curtis , Luigi Delle Rose , Stefano Moretti , Kei Yagyu

We use galaxy groups selected from the Sloan Digital Sky Survey (SDSS) together with mass models for individual groups to study the galaxy-galaxy lensing signals expected from galaxies of different luminosities and morphological types. We…

We provide general formulation of weak identification in semiparametric models and an efficiency concept. Weak identification occurs when a parameter is weakly regular, i.e., when it is locally homogeneous of degree zero. When this happens,…

Econometrics · Economics 2022-01-24 Tetsuya Kaji

Many recent studies have demonstrated that scaling arguments, such as the so-called hierarchical {\em ansatz}, are extremely useful in understanding the statistical properties of weak gravitational lensing. This is especially true on small…

Astrophysics · Physics 2009-10-31 Dipak Munshi , Peter Coles

We show that if $(M,\tensor,I)$ is a monoidal model category then $\REnd_M(I)$ is a (weak) 2-monoid in $\sSet$. This applies in particular when $M$ is the category of $A$-bimodules over a simplicial monoid $A$: the derived endomorphisms of…

Algebraic Topology · Mathematics 2010-03-09 Joachim Kock , Bertrand Toën

We establish common fixed point theorems for two pairs of weakly compatible self-mappings using an auxiliary function of two variables. Unlike classical results, our theorems do not assume continuity of the mappings and require completeness…

Functional Analysis · Mathematics 2025-08-13 Babu G. V. R. , Alemayehu Negash , Meaza Bogale

This paper proposes a new end-to-end trainable model for lossy image compression, which includes several novel components. The method incorporates 1) an adequate perceptual similarity metric; 2) saliency in the images; 3) a hierarchical…

Image and Video Processing · Electrical Eng. & Systems 2020-11-10 Yash Patel , Srikar Appalaraju , R. Manmatha

In this study, we define double weighted variable exponent Sobolev spaces $W^{1,q(.),p(.)}\left( \Omega ,\vartheta _{0},\vartheta \right) $ with respect to two different weight functions. Also, we investigate the basic properties of this…

Analysis of PDEs · Mathematics 2020-06-30 Cihan Unal , Ismail Aydin

Beyond the Standard Model (SM) extensions usually include extended Higgs sectors. Models with singlet or doublet fields are the simplest ones that are compatible with the $\rho$ parameter constraint. The discovery of new non-SM Higgs bosons…

High Energy Physics - Phenomenology · Physics 2017-10-04 M. Muhlleitner , M. Sampaio , R. Santos , J. Wittbrodt

Visual saliency detection tries to mimic human vision psychology which concentrates on sparse, important areas in natural image. Saliency prediction research has been traditionally based on low level features such as contrast, edge, etc.…

Computer Vision and Pattern Recognition · Computer Science 2016-05-05 Avisek Lahiri , Sourya Roy , Anirban Santara , Pabitra Mitra , Prabir Kumar Biswas

Deep-feature-based perceptual similarity models have demonstrated strong alignment with human visual perception in Image Quality Assessment (IQA). However, most existing approaches operate at a single spatial scale, implicitly assuming that…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Danling Kang , Xue-Hua Chen , Bin Liu , Keke Zhang , Weiling Chen , Tiesong Zhao

A dual pair formulation for asymmetric locally convex spaces is developed that strictly generalises the ordinary vector space setting. The concept of a polar topology carries over to the asymmetric case and some familiar results are…

General Topology · Mathematics 2026-02-24 Jobst Ziebell

Weak lensing by large scale structure induces correlated ellipticities in the images of distant galaxies. The two-point correlation is determined by the matter power spectrum along the line of sight. We use the fully nonlinear evolution of…

Astrophysics · Physics 2009-10-28 Bhuvnesh Jain , Uros Seljak

In statistical dimensionality reduction, it is common to rely on the assumption that high dimensional data tend to concentrate near a lower dimensional manifold. There is a rich literature on approximating the unknown manifold, and on…

Machine Learning · Statistics 2022-02-22 Didong Li , Minerva Mukhopadhyay , David B. Dunson