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Review of classical dimensionality reduction and sample selection methods for large-scale data processing

Neurocomputing, 2019
In the era of big data, all types of data with increasing samples and high-dimensional attributes are demonstrating their important roles in various fields, such as data mining, pattern recognition and machine learning, etc.
Xinzheng Xu   +4 more
semanticscholar   +1 more source

Important sampling in high dimensions

Structural Safety, 2003
This paper draws attention to a fundamental problem that occurs in applying importance sampling to ‘high-dimensional’ reliability problems, i.e., those with a large number of uncertain parameters. This question of applicability carries an important bearing on the potential use of importance sampling for solving dynamic first-excursion problems and ...
Au, S. K., Beck, J. L.
openaire   +2 more sources

The Sample Complexity of Up-to-ε Multi-Dimensional Revenue Maximization

IEEE Annual Symposium on Foundations of Computer Science, 2018
We consider the sample complexity of revenue maximization for multiple bidders in unrestricted multi-dimensional settings. Specifically, we study the standard model of n additive bidders whose values for m heterogeneous items are drawn independently. For
Yannai A. Gonczarowski, S. Weinberg
semanticscholar   +1 more source

Shape dimension and intrinsic metric from samples of manifolds with high co-dimension

Proceedings of the nineteenth annual symposium on Computational geometry, 2003
We introduce the adaptive neighborhood graph as a data structure for modeling a smooth manifold M embedded in some (potentially very high-dimensional) Euclidean space Rd. We assume that M is known to us only through a finite sample P? M, as it is often the case in applications. The adaptive neighborhood graph is a geometric graph on P.
Joachim Giesen, Uli Wagner 0001
openaire   +1 more source

The hausdorff dimension of the sample path of a subordinator

Israel Journal of Mathematics, 1968
The Hausdorff dimension of the range of an arbitrary subordinator is exactly determined in terms of the rate of linear drift and the Levy measure of the subordinator. This generalizes the result of Blumenthal and Getoor: that for a stable subordinator of indexσ, the dimension of the range isσ.
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Hausdorff Dimension of Operator Stable Sample Paths

Monatshefte f�r Mathematik, 2003
Let \(X = \{X_t, t \in [0, \infty)\}\) be an \({\mathbb R}^d\)-valued operator stable Lévy process with exponent \(B\) and \(X(0) = 0\). Then \(X\) is operator-self-similar with exponent \(B\). The class of operator stable Lévy processes include strictly stable Lévy processes and Lévy processes with stable components considered by \textit{W. E. Pruitt}
Becker-Kern, Peter   +2 more
openaire   +1 more source

Some optimal designs for sampling in two dimensions

Biometrika, 1977
SUMMARY Employing a superpopulation model, we derive conditions for which a sampling design of a two-dimensional finite population is optimal in the sense of minimum average variance, when the estimator of the population mean is the sample mean. We find that an overall optimal design does not exist, but that, if we consider three subclasses of two ...
openaire   +1 more source

INFLUENCE OF SAMPLE DIMENSIONS ON CHALK STRENGTH

News of the Tula state university. Sciences of Earth, 2020
The influence of the sample dimensions on the value of the ultimate strength under uniaxial compression for writing chalk is considered. More than 30 cylindrical samples of different sizes with a height to diameter ratio of 2 are prepared and tested by uniaxial compression. The test results are consistent with the theory of the scale effect.
E.A. ERMOLOVICH   +3 more
openaire   +1 more source

Bitcoin Price Prediction: A Machine Learning Sample Dimension Approach

Computational Economics, 2022
Sumit Ranjan   +2 more
semanticscholar   +1 more source

Sample Dimensions Influence Strength and Crystal Plasticity

Science, 2004
When a crystal deforms plastically, phenomena such as dislocation storage, multiplication, motion, pinning, and nucleation occur over the submicron-to-nanometer scale. Here we report measurements of plastic yielding for single crystals of micrometer-sized dimensions for three different types of metals.
Michael D, Uchic   +3 more
openaire   +2 more sources

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