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Finite metric spaces are the object of study in many data analysis problems. We examine the concept of weak isometry between finite metric spaces, in order to analyse properties of the spaces that are invariant under strictly increasing…

Metric Geometry · Mathematics 2020-05-08 Alessandro De Gregorio , Ulderico Fugacci , Facundo Memoli , Francesco Vaccarino

This paper describes one objective function for learning semantically coherent feature embeddings in multi-output classification problems, i.e., when the response variables have dimension higher than one. In particular, we consider the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Hugo Proença , Ehsan Yaghoubi , Pendar Alirezazadeh

Recently, it has been shown that it is possible to reconstruct the projected mass distribution of a cluster from weak lensing provided that both the geometry of the universe and the probability distribution of galaxy redshifts are known;…

Astrophysics · Physics 2007-05-23 Marco Lombardi , Giuseppe Bertin

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

Weak lensing provides a direct measure of the distribution of mass in the universe, and is therefore a uniquely powerful probe of dark matter. Weak lensing can also be used to measure the twin phenomenon of dark energy, via its effect upon…

Astrophysics · Physics 2007-05-23 Richard Massey , Alexandre Refregier , Jason Rhodes

The aim of this work is to prove the global-in-time existence of weak solutions for a viscoelastic phase separation model in three space dimensions. To this end we apply the relative energy concept provided by [3]. We consider the case of…

Analysis of PDEs · Mathematics 2023-01-03 Aaron Brunk

In this paper, we introduce a new category of simplicial effects that extends the categories of effect algebras and their multi-object counterpart, effect algebroids. Our approach is based on relaxing the associativity condition satisfied…

Category Theory · Mathematics 2025-02-11 Cihan Okay , Victor Castillo , Walker H. Stern

Weak lensing is emerging as a powerful observational tool to constrain cosmological models, but is at present limited by an incomplete understanding of many sources of systematic error. Many of these errors are multiplicative and depend on…

$ $Weak gravitational lensing is a powerful probe which is used to constrain the standard cosmological model and its extensions. With the enhanced statistical precision of current and upcoming surveys, high accuracy predictions for weak…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-26 Ting Tan , Dominik Zuercher , Janis Fluri , Alexandre Refregier , Federica Tarsitano , Tomasz Kacprzak

The photometric catalogue of galaxy clusters extracted from ESA Euclid data is expected to be very competitive for cosmological studies. Using state-of-the-art hydrodynamical simulations, we present systematic analyses simulating the…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-17 Euclid Collaboration , C. Giocoli , M. Meneghetti , E. Rasia , S. Borgani , G. Despali , G. F. Lesci , F. Marulli , L. Moscardini , M. Sereno , W. Cui , A. Knebe , G. Yepes , T. Castro , P. -S. Corasaniti , S. Pires , G. Castignani , L. Ingoglia , T. Schrabback , G. W. Pratt , A. M. C. Le Brun , N. Aghanim , L. Amendola , N. Auricchio , M. Baldi , C. Bodendorf , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , V. Capobianco , C. Carbone , J. Carretero , F. J. Castander , M. Castellano , S. Cavuoti , R. Cledassou , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , L. Corcione , F. Courbin , M. Cropper , A. Da Silva , H. Degaudenzi , J. Dinis , F. Dubath , X. Dupac , S. Dusini , S. Farrens , S. Ferriol , P. Fosalba , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , B. Garilli , B. Gillis , A. Grazian , F. Grupp , S. V. H. Haugan , W. Holmes , A. Hornstrup , K. Jahnke , M. Kümmel , S. Kermiche , M. Kilbinger , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , I. Lloro , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , R. Massey , S. Maurogordato , S. Mei , E. Merlin , G. Meylan , M. Moresco , E. Munari , S. -M. Niemi , J. Nightingale , T. Nutma , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , G. Polenta , M. Poncet , L. A. Popa , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , D. Sapone , B. Sartoris , P. Schneider , A. Secroun , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. -L. Starck , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , E. A. Valentijn , L. Valenziano , T. Vassallo , Y. Wang , J. Weller , G. Zamorani , J. Zoubian , S. Andreon , S. Bardelli , A. Boucaud , E. Bozzo , C. Colodro-Conde , D. Di Ferdinando , G. Fabbian , M. Farina , H. Israel , E. Keihänen , V. Lindholm , N. Mauri , C. Neissner , M. Schirmer , V. Scottez , M. Tenti , E. Zucca , Y. Akrami , C. Baccigalupi , M. Ballardini , F. Bernardeau , A. Biviano , A. S. Borlaff , C. Burigana , R. Cabanac , A. Cappi , C. S. Carvalho , S. Casas , K. C. Chambers , A. R. Cooray , H. M. Courtois , S. Davini , S. de la Torre , G. De Lucia , G. Desprez , H. Dole , J. A. Escartin , S. Escoffier , I. Ferrero , F. Finelli , L. Gabarra , K. Ganga , J. Garcia-Bellido , K. George , F. Giacomini , G. Gozaliasl , H. Hildebrandt , I. Hook , A. JIMENEZ MU\{N}OZ , B. Joachimi , J. J. E. Kajava , V. Kansal , C. C. Kirkpatrick , L. Legrand , A. Loureiro , J. Macias-Perez , M. Magliocchetti , G. Mainetti , R. Maoli , S. Marcin , M. Martinelli , N. Martinet , C. J. A. P. Martins , S. Matthew , L. Maurin , R. B. Metcalf , P. Monaco , G. Morgante , S. Nadathur , A. A. Nucita , L. Patrizii , A. Peel , J. Pollack , V. Popa , C. Porciani , D. Potter , M. Pöntinen , P. Reimberg , A. G. Sánchez , Z. Sakr , A. Schneider , E. Sefusatti , A. Shulevski , A. Spurio Mancini , J. Stadel , J. Steinwagner , J. Valiviita , A. Veropalumbo , M. Viel , I. A. Zinchenko

We seek to understand the impact on shape estimators obtained from circular and elliptical shapelet models under two realistic conditions: (a) only a limited number of shapelet modes is available for the model, and (b) the intrinsic…

Instrumentation and Methods for Astrophysics · Physics 2014-07-24 P. Melchior , A. Boehnert , M. Lombardi , M. Bartelmann

We study the minimization of multi-Higgs models with symmetries that are softly-broken. The powerful method of geometric minimization enables analytic minimization of multi-Higgs models with large symmetries. When these symmetries are…

High Energy Physics - Phenomenology · Physics 2022-06-09 Ivo de Medeiros Varzielas , Diogo Ivo

We address key points for an efficient implementation of likelihood codes for modern weak lensing large-scale structure surveys. Specifically, we focus on the joint weak lensing convergence power spectrum-bispectrum probe and we tackle the…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-02 Matteo Rizzato , Karim Benabed , Francis Bernardeau , Fabien Lacasa

We present some contributions to the theory of infinitary rewriting for weakly orthogonal term rewrite systems, in which critical pairs may occur provided they are trivial. We show that the infinitary unique normal form property fails by an…

Logic in Computer Science · Computer Science 2015-07-01 Joerg Endrullis , Clemens Grabmayer , Dimitri Hendriks , Jan Willem Klop , Vincent van Oostrom

The weak geometric P=W conjecture of L. Katzarkov, A. Noll, P. Pandit, and C. Simpson asserts that for any smooth Betti moduli space $\mathcal{M}_B$ of complex dimension $d$ over a punctured Riemann surface, the dual boundary complex…

Algebraic Geometry · Mathematics 2024-09-02 Tao Su

Studying the statistical properties of the large-scale structure in the Universe with weak gravitational lensing is a prime goal of several current and forthcoming galaxy surveys. The power that weak lensing has to constrain cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-25 Pierre Burger , Oliver Friedrich , Joachim Harnois-Déraps , Peter Schneider

Weakly Schreier split extensions are a reasonably large, yet well-understood class of monoid extensions, which generalise some aspects of split extensions of groups. This short note provides a way to define and study similar classes of…

Rings and Algebras · Mathematics 2023-07-18 Graham Manuell , Nelson Martins-Ferreira

Weak supervision (WS) is a rich set of techniques that produce pseudolabels by aggregating easily obtained but potentially noisy label estimates from a variety of sources. WS is theoretically well understood for binary classification, where…

Machine Learning · Computer Science 2022-11-28 Harit Vishwakarma , Nicholas Roberts , Frederic Sala

We present the methodology for a joint cosmological analysis of weak gravitational lensing from the fourth data release of the ESO Kilo-Degree Survey (KiDS-1000) and galaxy clustering from the partially overlapping BOSS and 2dFLenS surveys.…

The singlet-doublet model is an economical model of weakly interacting dark matter. We revisit it in light of improved dark matter direct detection limits. We characterize the now well-defined regions of remaining parameter space with…

High Energy Physics - Phenomenology · Physics 2025-08-08 Prudhvi N. Bhattiprolu , Evan Petrosky , Aaron Pierce
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