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Related papers: New tools in hierarchical hyperbolicity: A survey

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Tensor networks provide extremely powerful tools for the study of complex classical and quantum many-body problems. Over the last two decades, the increment in the number of techniques and applications has been relentless, and especially…

Quantum Physics · Physics 2023-03-29 Mari Carmen Bañuls

Development and homeostasis in multicellular systems both require exquisite control over spatial molecular pattern formation and maintenance. Advances in spatially-resolved and high-throughput molecular imaging methods such as multiplexed…

Quantitative Methods · Quantitative Biology 2023-03-30 Alex J. Lee , Robert Cahill , Reza Abbasi-Asl

Granular materials are a ubiquitous yet ill-understood class of media. Many different approaches and techniques have been developed to understand the many complex behaviors they exhibit but none have been completely successful. We present a…

Soft Condensed Matter · Physics 2021-02-11 Christopher Moakler , Katherine A. Newhall

Hypergraphs are useful mathematical representations of overlapping and nested subsets of interacting units, including groups of genes or brain regions, economic cartels, political or military coalitions, and groups of products that are…

Methodology · Statistics 2026-02-03 Cornelius Fritz , Yubai Yuan , Michael Schweinberger

The increasing volumes of astronomical data require practical methods for data exploration, access and visualisation. The Hierarchical Progressive Survey (HiPS) is a HEALPix based scheme that enables a multi-resolution approach to astronomy…

Instrumentation and Methods for Astrophysics · Physics 2016-11-07 M. G. Allen , P. Fernique , T. Boch , D. Durand , A. Oberto , B. Merin , F. Stoehr , F. Genova , F-X. Pineau , J. Salgado

I present the design, implementation and control of a novel, linkage-based, underactuated hand exoskeleton aimed to assist patients with hand disabilities during grasping tasks for robot assisted physical rehabilitation or robot assisted…

Robotics · Computer Science 2020-03-27 Mine Sarac Stroppa

We present some constructions that are merely the fruit of combining recent results from two areas of smooth dynamics: nonuniformly hyperbolic systems and elliptic constructions.

Dynamical Systems · Mathematics 2007-05-23 Bassam Fayad

Supervision for metric learning has long been given in the form of equivalence between human-labeled classes. Although this type of supervision has been a basis of metric learning for decades, we argue that it hinders further advances in…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Sungyeon Kim , Boseung Jeong , Suha Kwak

The abstract hyperbolic sets are introduced. Continuous and differentiable mappings as well as rate of convergence and transversal manifolds are not under discussion, and the symbolic dynamics paradigm is realized in a new way. Our…

Dynamical Systems · Mathematics 2020-06-29 Marat Akhmet

We introduce hyperbolic attention networks to endow neural networks with enough capacity to match the complexity of data with hierarchical and power-law structure. A few recent approaches have successfully demonstrated the benefits of…

Machine learning and computer vision techniques have grown rapidly in recent years due to their automation, suitability, and ability to generate astounding results. Hence, in this paper, we survey the key studies that are published between…

Image and Video Processing · Electrical Eng. & Systems 2022-08-01 Ayman Al-Kababji , Faycal Bensaali , Sarada Prasad Dakua , Yassine Himeur

Existing object-search approaches enable robots to search through free pathways, however, robots operating in unstructured human-centered environments frequently also have to manipulate the environment to their needs. In this work, we…

Robotics · Computer Science 2023-11-07 Fabian Schmalstieg , Daniel Honerkamp , Tim Welschehold , Abhinav Valada

In each of the last five years, a few dozen empirical studies appeared in visualization journals and conferences. The existing empirical studies have already featured a large number of variables. There are many more variables yet to be…

Human-Computer Interaction · Computer Science 2020-09-29 Min Chen , Alfie Abdul-Rahman , David H. Laidlaw

This paper introduces a method of navigation in a large family of tilings of the hyperbolic plane and looks at the question of possible applications in the light of the few ones which were already obtained.

Computational Geometry · Computer Science 2009-09-14 Maurice Margenstern

This is a survey on special metrics. We shall present some results and open questions on special metrics mainly appeared in the last 10 years

General Topology · Mathematics 2007-05-23 Yasunao Hattori

We present here a status update on the ASCA Hard Serendipitous Survey (HSS), a survey program conducted in the 2-10 keV energy band. In particular we discuss the number-flux relationship, the 2-10 keV spectral properties of the sources and…

Astrophysics · Physics 2007-05-23 R. Della Ceca , V. Braito , I. Cagnoni , T. Maccacaro

Over the past decade, the dominance of deep learning has prevailed across various domains of artificial intelligence, including natural language processing, computer vision, and biomedical signal processing. While there have been remarkable…

Computer Vision and Pattern Recognition · Computer Science 2024-04-15 Hou-I Liu , Marco Galindo , Hongxia Xie , Lai-Kuan Wong , Hong-Han Shuai , Yung-Hui Li , Wen-Huang Cheng

The purpose of this paper is to investigate the Cahn-Hillard approximation for entire minimal hypersurfaces in the hyperbolic space. Combining comparison principles with minimization and blow-up arguments, we prove existence results for…

Analysis of PDEs · Mathematics 2010-02-11 Adriano Pisante , Marcello Ponsiglione

In this paper, we present a general review of the status of numerical modelling applied to the design of high temperature superconductor (HTS) devices. The importance of this tool is emphasized at the beginning of the paper, followed by…

Superconductivity · Physics 2017-05-30 Frédéric Sirois , Francesco Grilli

Following decades of sustained improvement, metaheuristics are one of the great success stories of optimization research. However, in order for research in metaheuristics to avoid fragmentation and a lack of reproducibility, there is a…