منابع مشابه
Gravitational Clustering of the Self-Organizing Map
Data clustering is the fundamental data analysis method, widely used for solving problems in the field of machine learning. Numerous clustering algorithms exist, based on various theories and approaches, one of them being the well-known Kohonen’s self-organizing map (SOM). Unfortunately, after training the SOM there is no explicitly obtained information about clusters in the underlying data, so...
متن کاملGravitational Clustering
The downfall of many supervised learning algorithms, such as neural networks, is the inherent need for a large amount of training data (Benediktsson et al., 1993). Although there is a lot of buzz about big data, there is still the problem of doing classification from a small data-set. Other methods such as support vector machines, although capable of dealing with few samples, are inherently bin...
متن کاملClustering of heavy particles in random self-similar flow.
A statistical description of heavy particles suspended in incompressible rough self-similar flows is developed. It is shown that, differently from smooth flows, particles do not form fractal clusters. They rather distribute inhomogeneously with a statistics that only depends on a local Stokes number, given by the ratio between the particles' response time and the turnover time associated with t...
متن کاملمروری بر کتاب self-similar groups
خودسانی یا فرکتالی بودن پدیده ای مهم در طبیعت است که در بسیاری از وجوه تمدن جدید انعکاس یافته است. این پدیده علاوه بر هنر، در فیزیک، شیمی علوم پزشکی و علوم کامپیوتر نیز رخ می نماید. خودسانی در مباحث مختلفی از ریاضیات و مدلسازی ریاضی از جمله دستگاههای دینامیکی و آشوب، فرآیندهای تصادفی و فیزیک آماری، توپولوژی و هندسه فرکتالی نیز ظاهر می شود.
متن کاملSelf-similar fractals and arithmetic dynamics
The concept of self-similarity on subsets of algebraic varieties is defined by considering algebraic endomorphisms of the variety as `similarity' maps. Self-similar fractals are subsets of algebraic varieties which can be written as a finite and disjoint union of `similar' copies. Fractals provide a framework in which, one can unite some results and conjectures in Diophantine g...
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ژورنال
عنوان ژورنال: Symposium - International Astronomical Union
سال: 1983
ISSN: 0074-1809
DOI: 10.1017/s0074180900039425