Results 61 to 70 of about 164,476 (143)

What is the dimension of your binary data? [PDF]

open access: yes, 2019
Many 0/1 datasets have a very large number of variables; on the other hand, they are sparse and the dependency structure of the variables is simpler than the number of variables would suggest. Defining the effective dimensionality of such a dataset is a nontrivial problem.
arxiv   +1 more source

Fractal dimension in star formation regions [PDF]

open access: yesBolet\'in de la Asociaci\'on Argentina de Astronom\'ia (2020) 254-256;, 2020
Several two-dimensional studies in spiral galaxies show that HII star formation regions have a fractal distribution, with a fractal dimension of approximately 2.3. In this work, the fractal dimension is calculated through the box-counting method implemented in an R code. The innovation of the work lies in calculating the fractal dimension directly in 3
arxiv  

Diagnosis of B-CLL Leukemia Using Fractal Dimension [PDF]

open access: yesJournal of Kerman University of Medical Sciences, 2017
Background:Leukemia is cancer of blood and bone marrow cells. In general, there are four types of leukemia: chronic myelogenous leukemia (CML), acute myeloid leukemia (AML), B-cell chronic lymphocytic leukemia (CLL) and acute lymphoblastic leukemia (ALL).
Tohid Yousefzadeh Hassanluie   +2 more
doaj  

Order-Fractal transition in abstract paintings [PDF]

open access: yes, 2015
We report the degree of order of twenty-two Jackson Pollock's paintings using \emph{Hausdorff-Besicovitch fractal dimension}. Through the maximum value of each multi-fractal spectrum, the artworks are classify by the year in which they were painted. It has been reported that Pollock's paintings are fractal and it increased on his latest works.
arxiv   +1 more source

Fractal-Based Modeling and Spatial Analysis of Urban Form and Growth: A Case Study of Shenzhen in China

open access: yesISPRS International Journal of Geo-Information, 2020
Fractal dimension curves of urban growth can be modeled with sigmoid functions, including logistic function and quadratic logistic function. Different types of logistic functions indicate different spatial dynamics.
Xiaoming Man, Yanguang Chen
doaj   +1 more source

Algorithmic interpretations of fractal dimension [PDF]

open access: yesarXiv, 2017
We study algorithmic problems on subsets of Euclidean space of low fractal dimension. These spaces are the subject of intensive study in various branches of mathematics, including geometry, topology, and measure theory. There are several well-studied notions of fractal dimension for sets and measures in Euclidean space.
arxiv  

Counterexamples in theory of fractal dimension for fractal structures [PDF]

open access: yesarXiv, 2015
Fractal dimension constitutes the main tool to test for fractal patterns in Euclidean contexts. For this purpose, it is always used the box dimension, since it is easy to calculate, though the Hausdorff dimension, which is the oldest and also the most accurate fractal dimension, presents the best analytical properties.
arxiv  

𝑘-dimensional regularity classifications for 𝑠-fractals [PDF]

open access: bronze, 1988
Miguel Ángel Martı́n, Pertti Mattila
openalex   +1 more source

A study on the fractal characteristics of displacement time-series during the evolution of landslides

open access: yesGeomatics, Natural Hazards & Risk, 2016
Landslides are one of the major natural disasters that are frequently occurring in southwestern China. The main objective of this study is to investigate the relationship between failure of landslide and fractal dimension using displacement time-series ...
W. Y. Xu   +3 more
doaj   +1 more source

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