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Many uncertainty sets encountered in control systems analysis and design can be expressed in terms of semialgebraic sets, that is as the intersection of sets described by means of polynomial inequalities. Important examples are for instance…

Optimization and Control · Mathematics 2015-09-15 Fabrizio Dabbene , Didier Henrion , Constantino Lagoa

Using polarity, we give an outer polyhedral approximation for the epigraph of set functions. For a submodular function, we prove that the corresponding polar relaxation is exact; hence, it is equivalent to the Lov\'asz extension. The polar…

Optimization and Control · Mathematics 2020-12-09 Alper Atamturk , Vishnu Narayanan

We present a similarity transformation theory based on a polynomial form of a particle-hole pair excitation operator. In the weakly correlated limit, this polynomial becomes an exponential, leading to coupled cluster doubles. In the…

Strongly Correlated Electrons · Physics 2016-11-23 Matthias Degroote , Thomas M. Henderson , Jinmo Zhao , Jorge Dukelsky , Gustavo E. Scuseria

The combination of galaxy-galaxy weak lensing and galaxy clustering is a powerful probe of the cosmological model, and exploration of how to best model and extract this information from the signals is essential. We present the measurement…

The strong-form asymmetric kernel-based collocation method, commonly referred to as the Kansa method, is easy to implement and hence is widely used for solving engineering problems and partial differential equations despite the lack of…

Numerical Analysis · Mathematics 2018-01-03 Ka-Chun Cheung , Leevan Ling , Robert Schaback

The sensitivity and wide area reached by ongoing and future wide-field optical surveys allows for the detection of an increasing number of galaxy clusters uniquely through their weak lensing (WL) signal. This motivates the development of…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-18 G. Leroy , S. Pires , G. W. Pratt , C. Giocoli

We consider cylindrical algebraic decompositions (CADs) as a tool for representing semi-algebraic subsets of $\mathbb{R}^n$. In this framework, a CAD $\mathscr{C}$ is adapted to a given set $S$ if $S$ is a union of cells of $\mathscr{C}$.…

Symbolic Computation · Computer Science 2024-11-21 Lucas Michel , Pierre Mathonet , Naïm Zénaïdi

Parametric modeling of galaxy cluster density profiles from weak lensing observations leads to a mass bias, whose detailed understanding is critical in deriving accurate mass-observable relations for constraining cosmological models.…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-17 Martin W. Sommer , Tim Schrabback , Douglas E. Applegate , Stefan Hilbert , Behzad Ansarinejad , Benjamin Floyd , Sebastian Grandis

Polyhedral meshes (PM) - meshes having planar faces - have enjoyed a rise in popularity in recent years due to their importance in architectural and industrial design. However, they are also notoriously difficult to generate and manipulate.…

Graphics · Computer Science 2013-03-19 Roi Poranne , Renjie Chen , Craig Gotsman

Sparse Partial Least Squares (sPLS) is a common dimensionality reduction technique for data fusion, which projects data samples from two views by seeking linear combinations with a small number of variables with the maximum variance.…

Machine Learning · Computer Science 2023-08-15 Wenwen Min , Taosheng Xu , Chris Ding

Weak gravitational lensing is a promising tool for the study of the mass distribution in the Universe. Here we report some partial results that show how lensing maps can be used to differentiate between cosmological models. We pay special…

Astrophysics · Physics 2007-05-23 Antonio C. C. Guimarães

Weakly supervised semantic segmentation (WSSS) in histopathology seeks to reduce annotation cost by learning from image-level labels, yet it remains limited by inter-class homogeneity, intra-class heterogeneity, and the region-shrinkage…

We assess the performance of a perturbation theory inspired method for inferring cosmological parameters from the joint measurements of galaxy-galaxy weak lensing ($\Delta\Sigma$) and the projected galaxy clustering ($w_{\rm p}$). To do…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-21 Sunao Sugiyama , Masahiro Takada , Yosuke Kobayashi , Hironao Miyatake , Masato Shirasaki , Takahiro Nishimichi , Youngsoo Park

We consider and discretize a mixed formulation for linear elasticity with weakly imposed symmetry in two and three dimensions. Whereas existing methods mainly deal with simplicial or polygonal meshes, we take advantage of isogeometric…

Numerical Analysis · Mathematics 2022-10-20 Jeremias Arf

Approximate methods to full N-body simulations provide a fast and accurate solution to the development of mock catalogues for the modeling of galaxy clustering observables. In this paper we extend ICE-COLA (Izard et al. 2016), based on an…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-29 Albert Izard , Pablo Fosalba , Martin Crocce

We estimate the impact of weak lensing by strongly nonlinear cosmological structures on the cosmic microwave background. Accurate calculation of large $\ell$ multipoles requires N-body simulations and ray-tracing schemes with both high…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 M. J. Fullana , J. V. Arnau , R. J. Thacker , H. M. P. Couchman , D. Sáez

This paper introduces an approach for detecting differences in the first-order structures of spatial point patterns. The proposed approach leverages the kernel mean embedding in a novel way by introducing its approximate version tailored to…

Methodology · Statistics 2020-06-15 Raif M. Rustamov , James T. Klosowski

We present version 2.3 of SModelS, a public tool for the fast reinterpretation of LHC searches for new physics on the basis of simplified-model results. The main new features are a database update with the latest available experimental…

High Energy Physics - Phenomenology · Physics 2023-11-08 Mohammad Mahdi Altakach , Sabine Kraml , Andre Lessa , Sahana Narasimha , Timothée Pascal , Wolfgang Waltenberger

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 explore strategies to extract cosmological constraints from a joint analysis of cosmic shear, galaxy-galaxy lensing, galaxy clustering, cluster number counts and cluster weak lensing. We utilize the CosmoLike software to simulate results…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-26 Elisabeth Krause , Tim Eifler