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The extension complexity of a polytope measures its amenability to succinct representations via lifts. There are several versions of extension complexity, including linear, real semidefinite, and complex semidefinite. We focus on the last…

Combinatorics · Mathematics 2021-10-18 Tristram Bogart , João Gouveia , Juan Camilo Torres

We study the problem of computing minimal distinguishing formulas for non-bisimilar states in finite LTSs. We show that this is NP-hard if the size of the formula must be minimal. Similarly, the existence of a short distinguishing trace is…

Logic in Computer Science · Computer Science 2023-07-12 Jan Martens , Jan Friso Groote

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

The search for heavy Higgs bosons is an important step to probe the parameter space of the Minimal Supersymmetric Standard Model. In this work, we classify all possible decay modes of the supersymmetric heavy Higgs boson using the SModelS…

High Energy Physics - Phenomenology · Physics 2017-11-02 Suchita Kulkarni , Lukas Lechner

Data similarity is a key concept in many data-driven applications. Many algorithms are sensitive to similarity measures. To tackle this fundamental problem, automatically learning of similarity information from data via self-expression has…

Machine Learning · Computer Science 2019-03-12 Zhao Kang , Yiwei Lu , Yuanzhang Su , Changsheng Li , Zenglin Xu

It is shown that the computational efficiency of the discrete least-squares (DLS) approximation of solutions of stochastic elliptic PDEs is improved by incorporating a reduced-basis method into the DLS framework. The goal is to recover the…

Numerical Analysis · Mathematics 2017-11-09 Max Gunzburger , Michael Schneier , Clayton Webster , Guannan Zhang

An introduction to the minimal supersymmetric Standard Model (MSSM) is given. The motivation for ``low-energy'' supersymmetry is reviewed, and the structure of the MSSM is outlined. In its most general form, the MSSM can be viewed as a…

High Energy Physics - Phenomenology · Physics 2008-02-03 Howard E. Haber

We infer gravitational lensing shear and convergence fields from galaxy ellipticity catalogs under a spatial process prior for the lensing potential. We demonstrate the performance of our algorithm with simulated Gaussian-distributed…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-19 Michael D. Schneider , Karen Y. Ng , William A. Dawson , Philip J. Marshall , Joshua Meyers , Deborah J. Bard

Weak gravitational lensing is an important tool to estimate the masses of galaxy clusters, as it allows us to directly access their projected surface mass density along the line-of-sight (LOS) in a manner largely independent of their…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-13 Constantin Payerne , Corentin Hanser , Calum Murray , Nathan Amouroux , Céline Combet

Ensuring reliable confidence scores from deep networks is of pivotal importance in critical decision-making systems, notably in the medical domain. While recent literature on calibrating deep segmentation networks has led to significant…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Balamurali Murugesan , Sukesh Adiga , Bingyuan Liu , Hervé Lombaert , Ismail Ben Ayed , Jose Dolz

Few-shot learning is a relatively new technique that specializes in problems where we have little amounts of data. The goal of these methods is to classify categories that have not been seen before with just a handful of samples. Recent…

Supersymmetry analyses will potentially be a central area for experiments at the LHC and at a future e+ e- linear collider. Results from the two facilities will mutually complement and augment each other so that a comprehensive and precise…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. C. Allanach , G. A. Blair , S. Kraml , H. -U. Martyn , G. Polesello , W. Porod , P. M. Zerwas

Low-shot learning indicates the ability to recognize unseen objects based on very limited labeled training samples, which simulates human visual intelligence. According to this concept, we propose a multi-level similarity model (MLSM) to…

Computer Vision and Pattern Recognition · Computer Science 2019-12-16 Hongwei Xv , Xin Sun , Junyu Dong , Shu Zhang , Qiong Li

We use an algebraic approach to construct minimal decompositions of symmetric tensors with low rank. This is done by using Apolarity Theory and by studying minimal sets of reduced points apolar to a given symmetric tensor, namely, whose…

Commutative Algebra · Mathematics 2018-05-31 Bernard Mourrain , Alessandro Oneto

Collective Adaptive Systems often consist of many heterogeneous components typically organised in groups. These entities interact with each other by adapting their behaviour to pursue individual or collective goals. In these systems, the…

Logic in Computer Science · Computer Science 2024-02-14 Michele Loreti , Michela Quadrini

Weak gravitational lensing (WL) causes distortions of galaxy images and probes massive structures on large scales, allowing us to understand the late-time evolution of the Universe. One way to extract the cosmological information from WL is…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-14 Chieh-An Lin

Symmetry principles play an important role in geometry, and physics, allowing for the reduction of complicated systems to simpler, more comprehensible models that preserve the system's features of interest. Biological systems are often…

Cell Behavior · Quantitative Biology 2025-02-26 Luis A. Álvarez-García , Wolfram Liebermeister , Ian Leifer , Hernán A. Makse

The measurement of the mass of clusters of galaxies is crucial for their use in cosmology and astrophysics. Masses can be efficiently determined with weak lensing (WL) analyses. I compiled Literature Catalogs of weak Lensing Clusters…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Mauro Sereno

Learning the topology of higher-order networks from data is a fundamental challenge in many signal processing and machine learning applications. Simplicial complexes provide a principled framework for modeling multi-way interactions, yet…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Varun Sarathchandran , Geert Leus

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
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