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COLLAGE-BASED INTERPOLATION OF REAL-DATA SETS

by Jonas Valantinas, Ramutis Rindzevičius
"... Abstract. This paper presents a recurrent fractal interpolation method (approach) for one-dimensional sets of realdata. The method explores both the local collage idea, developed originally for image compression purposes, and the basic platform for generating of non-recurrent fractal interpolation f ..."
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functions – attractors of iterated function systems (IFS). The characteristic feature of the developed approach – the recurrent fractal interpolation functions are obtained by applying specialized correction procedures to the approximants of the real-data sets, i.e. to the attractors of local IFS, generated

ESTIMATION IN REAL DATA SET BY SPLIT–ARCH MODEL

by Vladica Stojanović, Biljana Popović
"... Famous models of conditional heteroscedasticity describe various effects of behavior of the financial markets. In this paper, we investigate the related model, called Split–ARCH, in some of its stochastic aspects, as the necessary and sufficient conditions of the strong stationarity and the estimati ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
and the estimation procedure. The basic asymptotic properties of those estimates are described, too. The most important segment of our work is dedicated to the practical issue of Split–ARCH model in analysis of the dynamics of the real data. We compared the Split– ARCH with standard models of ARCH type and showed

Rough Sets.

by Zdzis Law Pawlak , George Allen , Unwin , ; W W London , New Norton , York - Int. J. of Information and Computer Sciences , 1982
"... Abstract. This article presents some general remarks on rough sets and their place in general picture of research on vagueness and uncertainty -concepts of utmost interest, for many years, for philosophers, mathematicians, logicians and recently also for computer scientists and engineers particular ..."
Abstract - Cited by 793 (13 self) - Add to MetaCart
particularly those working in such areas as AI, computational intelligence, intelligent systems, cognitive science, data mining and machine learning. Thus this article is intended to present some philosophical observations rather than to consider technical details or applications of rough set theory. Therefore

Statistical Comparisons of Classifiers over Multiple Data Sets

by Janez Demsar , 2006
"... While methods for comparing two learning algorithms on a single data set have been scrutinized for quite some time already, the issue of statistical tests for comparisons of more algorithms on multiple data sets, which is even more essential to typical machine learning studies, has been all but igno ..."
Abstract - Cited by 744 (0 self) - Add to MetaCart
While methods for comparing two learning algorithms on a single data set have been scrutinized for quite some time already, the issue of statistical tests for comparisons of more algorithms on multiple data sets, which is even more essential to typical machine learning studies, has been all

CURE: An Efficient Clustering Algorithm for Large Data sets

by Sudipto Guha, Rajeev Rastogi, Kyuseok Shim - Published in the Proceedings of the ACM SIGMOD Conference , 1998
"... Clustering, in data mining, is useful for discovering groups and identifying interesting distributions in the underlying data. Traditional clustering algorithms either favor clusters with spherical shapes and similar sizes, or are very fragile in the presence of outliers. We propose a new clustering ..."
Abstract - Cited by 722 (5 self) - Add to MetaCart
of random sampling and partitioning. A random sample drawn from the data set is first partitioned and each partition is partially clustered. The partial clusters are then clustered in a second pass to yield the desired clusters. Our experimental results confirm that the quality of clusters produced by CURE

Power-law distributions in empirical data

by Aaron Clauset, Cosma Rohilla Shalizi, M. E. J. Newman - ISSN 00361445. doi: 10.1137/ 070710111. URL http://dx.doi.org/10.1137/070710111 , 2009
"... Power-law distributions occur in many situations of scientific interest and have significant consequences for our understanding of natural and man-made phenomena. Unfortunately, the empirical detection and characterization of power laws is made difficult by the large fluctuations that occur in the t ..."
Abstract - Cited by 607 (7 self) - Add to MetaCart
demonstrate these methods by applying them to twentyfour real-world data sets from a range of different disciplines. Each of the data sets has been conjectured previously to follow a power-law distribution. In some cases we find these conjectures to be consistent with the data while in others the power law

OPTICS: Ordering Points To Identify the Clustering Structure

by Mihael Ankerst, Markus M. Breunig, Hans-peter Kriegel, Jörg Sander , 1999
"... Cluster analysis is a primary method for database mining. It is either used as a stand-alone tool to get insight into the distribution of a data set, e.g. to focus further analysis and data processing, or as a preprocessing step for other algorithms operating on the detected clusters. Almost all of ..."
Abstract - Cited by 527 (51 self) - Add to MetaCart
of the well-known clustering algorithms require input parameters which are hard to determine but have a significant influence on the clustering result. Furthermore, for many real-data sets there does not even exist a global parameter setting for which the result of the clustering algorithm describes

Analysis of relative gene expression data using real-time quantitative

by Kenneth J. Livak, Thomas D. Schmittgen - PCR and 2 ���CT method. Methods 25 , 2001
"... of the target gene relative to some reference group The two most commonly used methods to analyze data from real-time, quantitative PCR experiments are absolute quantifica-such as an untreated control or a sample at time zero tion and relative quantification. Absolute quantification deter- in a time ..."
Abstract - Cited by 2666 (6 self) - Add to MetaCart
of the target gene relative to some reference group The two most commonly used methods to analyze data from real-time, quantitative PCR experiments are absolute quantifica-such as an untreated control or a sample at time zero tion and relative quantification. Absolute quantification deter- in a

Estimating standard errors in finance panel data sets: comparing approaches.

by Mitchell A Petersen - Review of Financial Studies , 2009
"... Abstract In both corporate finance and asset pricing empirical work, researchers are often confronted with panel data. In these data sets, the residuals may be correlated across firms and across time, and OLS standard errors can be biased. Historically, the two literatures have used different solut ..."
Abstract - Cited by 890 (7 self) - Add to MetaCart
Abstract In both corporate finance and asset pricing empirical work, researchers are often confronted with panel data. In these data sets, the residuals may be correlated across firms and across time, and OLS standard errors can be biased. Historically, the two literatures have used different

Combining labeled and unlabeled data with co-training

by Avrim Blum, Tom Mitchell , 1998
"... We consider the problem of using a large unlabeled sample to boost performance of a learning algorithm when only a small set of labeled examples is available. In particular, we consider a setting in which the description of each example can be partitioned into two distinct views, motivated by the ta ..."
Abstract - Cited by 1633 (28 self) - Add to MetaCart
data, but our goal is to use both views together to allow inexpensive unlabeled data to augment amuch smaller set of labeled examples. Speci cally, the presence of two distinct views of each example suggests strategies in which two learning algorithms are trained separately on each view, and then each
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