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Related papers: New tools in hierarchical hyperbolicity: A survey

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Interpreting hierarchical structures latent in language is a key limitation of current language models (LMs). While previous research has implicitly leveraged these hierarchies to enhance LMs, approaches for their explicit encoding are yet…

Computation and Language · Computer Science 2024-11-22 Yuan He , Zhangdie Yuan , Jiaoyan Chen , Ian Horrocks

Recent advances in biological technologies, such as multi-way chromosome conformation capture (3C), require development of methods for analysis of multi-way interactions. Hypergraphs are mathematically tractable objects that can be utilized…

Quantitative Methods · Quantitative Biology 2023-07-19 Joshua Pickard , Can Chen , Rahmy Salman , Cooper Stansbury , Sion Kim , Amit Surana , Anthony Bloch , Indika Rajapakse

In this chapter, I review the main methods and techniques of complex systems science. As a first step, I distinguish among the broad patterns which recur across complex systems, the topics complex systems science commonly studies, the tools…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Cosma Rohilla Shalizi

Hyperbolic metamaterials were originally introduced to overcome the diffraction limit of optical imaging. Soon thereafter it was realized that hyperbolic metamaterials demonstrate a number of novel phenomena resulting from the broadband…

Optics · Physics 2015-10-27 Igor I. Smolyaninov

Spatiotemporal data mining aims to discover interesting, useful but non-trivial patterns in big spatial and spatiotemporal data. They are used in various application domains such as public safety, ecology, epidemiology, earth science, etc.…

Databases · Computer Science 2022-06-28 Arun Sharma , Zhe Jiang , Shashi Shekhar

Boosting algorithms to simultaneously estimate and select predictor effects in statistical models have gained substantial interest during the last decade. This review article aims to highlight recent methodological developments regarding…

Methodology · Statistics 2014-11-19 Andreas Mayr , Harald Binder , Olaf Gefeller , Matthias Schmid

The study of thrombosis is crucial to understand and develop new therapies for diseases like deep vein thrombosis, diabetes related strokes, pulmonary embolism etc. The last two decades have seen an exponential growth in studies related to…

Medical Physics · Physics 2019-11-28 Sumith Yesudasan , Rodney D. Averett

Data visualization is the process by which data of any size or dimensionality is processed to produce an understandable set of data in a lower dimensionality, allowing it to be manipulated and understood more easily by people. The goal of…

Graphics · Computer Science 2021-07-06 Alexander Kiefer , Md. Khaledur Rahman

The Large Synoptic Survey Telescope (LSST) is expected to increase known small solar system object populations by an order of magnitude or more over the next decade, enabling a broad array of transformative solar system science…

User studies are paramount for advancing science. However, researchers face several barriers when performing them despite the existence of supporting tools. In this work, we study how existing tools and their features cope with previously…

Software Engineering · Computer Science 2025-04-14 Lázaro Costa , Susana Barbosa , Jácome Cunha

This survey is an invitation to recent developments in higher dimensional birational geometry.

Algebraic Geometry · Mathematics 2019-04-15 Vladimir Lazić

This survey aims at providing a comprehensive overview of the recent trends in the field of modeling and simulation (M&S) of interactions between users and recommender systems and applications of the M&S to the performance improvement of…

The progress in hyperbolic neural networks (HNNs) research is hindered by their absence of inductive bias mechanisms, which are essential for generalizing to new tasks and facilitating scalable learning over large datasets. In this paper,…

Machine Learning · Computer Science 2023-10-31 Nurendra Choudhary , Nikhil Rao , Chandan K. Reddy

The purpose of this study is to give an opinion on which software should be used by researchers working in applied fields when using free software found in the literature. Of course, this study is not enough alone as there is no comparison…

Optimization and Control · Mathematics 2020-09-03 Ali Hakan Tor

Diffuse correlation spectroscopy (DCS) is a powerful tool for assessing microvascular hemodynamic in deep tissues. Recent advances in sensors, lasers, and deep learning have further boosted the development of new DCS methods. However,…

Learning analytics is a research topic that is gaining increasing popularity in recent time. It analyzes the learning data available in order to make aware or improvise the process itself and/or the outcome such as student performance. In…

Databases · Computer Science 2015-01-29 Usha Keshavamurthy , H. S. Guruprasad

The hyperbolic manifold is a smooth manifold of negative constant curvature. While the hyperbolic manifold is well-studied in the literature, it has gained interest in the machine learning and natural language processing communities lately…

Machine Learning · Computer Science 2019-03-19 Pratik Jawanpuria , Mayank Meghwanshi , Bamdev Mishra

Label inventories for fine-grained entity typing have grown in size and complexity. Nonetheless, they exhibit a hierarchical structure. Hyperbolic spaces offer a mathematically appealing approach for learning hierarchical representations of…

Computation and Language · Computer Science 2020-10-06 Federico López , Michael Strube

We discuss several ways of packing a hyperbolic surface with circles (of either varying radii or all being congruent) or horocycles, and note down some observations related to their symmetries (or the absence thereof).

Geometric Topology · Mathematics 2022-02-21 Maria Dostert , Alexander Kolpakov