Scale dependent dimensionality
نویسندگان
چکیده
منابع مشابه
Scale Dependent Dimensionality
We argue that dimensionality is not absolute, but that it depends on the scale of resolution, from the Planck to the macro scale.
متن کاملLinear Dependent Dimensionality Reduction
We formulate linear dimensionality reduction as a semi-parametric estimation problem, enabling us to study its asymptotic behavior. We generalize the problem beyond additive Gaussian noise to (unknown) nonGaussian additive noise, and to unbiased non-additive models.
متن کاملThe Short Grit Scale: a Dimensionality Analysis
OF THESIS THE SHORT GRIT SCALE: A DIMENSIONALITY ANALYSIS This study aimed to examine the internal structure, score reliability, scoring, and interpretation of the Short Grit Scale (Grit-S; Duckworth & Quinn, 2009) using a sample of engineering students (N = 610) from one large southeastern university located in the United States. Confirmatory factor analysis was used to compare four competing ...
متن کاملScale-independent quality criteria for dimensionality reduction
Dimensionality reduction aims at representing high-dimensional data in low-dimensional spaces, in order to facilitate their visual interpretation. Many techniques exist, ranging from simple linear projections to more complex nonlinear transformations. The large variety of methods emphasizes the need of quality criteria that allow for fair comparisons between them. This paper extends previous wo...
متن کاملAtomic Scale Fractal Dimensionality in Proteins
The soft condensed matter of biological organisms exhibits atomic motions whose properties depend strongly on temperature and hydration conditions. Due to the superposition of rapidly fluctuating alternative motions at both very low temperatures (quantum effects) and very high temperatures (classical Brownian motion regime), the dimension of an atomic “path” is in reality different from unity. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Chaos, Solitons & Fractals
سال: 2001
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(00)00095-3