Results 1  10
of
3,903,161
The Nature of Statistical Learning Theory
, 1999
"... Statistical learning theory was introduced in the late 1960’s. Until the 1990’s it was a purely theoretical analysis of the problem of function estimation from a given collection of data. In the middle of the 1990’s new types of learning algorithms (called support vector machines) based on the deve ..."
Abstract

Cited by 12992 (32 self)
 Add to MetaCart
Statistical learning theory was introduced in the late 1960’s. Until the 1990’s it was a purely theoretical analysis of the problem of function estimation from a given collection of data. In the middle of the 1990’s new types of learning algorithms (called support vector machines) based
A measuretheoretic approach to the theory . . .
, 2008
"... In this paper we develop a measuretheoretic method to treat problems in hypergraph theory. Our central theorem is a correspondence principle between three objects: An increasing hypergraph sequence, a measurable set in an ultraproduct space and a measurable set in a finite dimensional Lebesgue spac ..."
Abstract
 Add to MetaCart
In this paper we develop a measuretheoretic method to treat problems in hypergraph theory. Our central theorem is a correspondence principle between three objects: An increasing hypergraph sequence, a measurable set in an ultraproduct space and a measurable set in a finite dimensional Lebesgue
The MeasureTheoretical Approach to PAdic Probability Theory
, 1998
"... this paper we develop a padic probability formalism based on measure theory of [19]. By probabilistic reasons we use the special case of this measure theory: measures defined on algebras (such measures have some special properties). However, probabilistic applications stimulate also the development ..."
Abstract

Cited by 15 (0 self)
 Add to MetaCart
this paper we develop a padic probability formalism based on measure theory of [19]. By probabilistic reasons we use the special case of this measure theory: measures defined on algebras (such measures have some special properties). However, probabilistic applications stimulate also
Integral geometry – measure theoretic approach and stochastic applications
"... Integral geometry, as it is understood here, deals with the computation and application of geometric mean values with respect to invariant measures. In the following, I want to give an introduction to the integral geometry of polyconvex sets (i.e., finite unions of compact convex sets) in Euclidean ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
Integral geometry, as it is understood here, deals with the computation and application of geometric mean values with respect to invariant measures. In the following, I want to give an introduction to the integral geometry of polyconvex sets (i.e., finite unions of compact convex sets) in Euclidean
A Measure Theoretic Approach to Information Retrieval
"... The vector space model of information retrieval is one of the classical and widely applied retrieval models. Paradoxically, it has been characterised by a discrepancy between its formal framework and implementable form. The underlying concepts of the vector space model are mathematical terms: linear ..."
Abstract
 Add to MetaCart
it has been claimed to rest. This problem has been recognised for more than two decades, but no proper solution has emerged so far. The present paper proposes just such a solution to this very problem. Firstly, the concept of retrieval is defined based on measure theory. Then, retrieval is particularised
A MEASURETHEORETIC APPROACH TO CHAOTIC DYNAMICAL SYSTEMS
, 2001
"... This dissertation is submitted in fulfilment of the req u i rements for the degree of ..."
Abstract
 Add to MetaCart
This dissertation is submitted in fulfilment of the req u i rements for the degree of
Assessing coping strategies: A theoretically based approach
 Journal of Personality and Social Psychology
, 1989
"... We developed a multidimensional coping inventory to assess the different ways in which people respond to stress. Five scales (of four items each) measure conceptually distinct aspects of problemfocused coping (active coping, planning, suppression of competing activities, restraint coping, seeking ..."
Abstract

Cited by 620 (5 self)
 Add to MetaCart
of emotions, behavioral disengagement, mental disengagement). Study 1 reports the development of scale items. Study 2 reports correlations between the various coping scales and several theoretically relevant personality measures in an effort to provide preliminary information about the inventory
An InformationTheoretic Definition of Similarity
 In Proceedings of the 15th International Conference on Machine Learning
, 1998
"... Similarity is an important and widely used concept. Previous definitions of similarity are tied to a particular application or a form of knowledge representation. We present an informationtheoretic definition of similarity that is applicable as long as there is a probabilistic model. We demonstrate ..."
Abstract

Cited by 1218 (0 self)
 Add to MetaCart
how our definition can be used to measure the similarity in a number of different domains.
The Ensemble Kalman Filter: theoretical formulation And Practical Implementation
, 2003
"... The purpose of this paper is to provide a comprehensive presentation and interpretation of the Ensemble Kalman Filter (EnKF) and its numerical implementation. The EnKF has a large user group, and numerous publications have discussed applications and theoretical aspects of it. This paper reviews the ..."
Abstract

Cited by 486 (5 self)
 Add to MetaCart
The purpose of this paper is to provide a comprehensive presentation and interpretation of the Ensemble Kalman Filter (EnKF) and its numerical implementation. The EnKF has a large user group, and numerous publications have discussed applications and theoretical aspects of it. This paper reviews
MEASURE THEORETICAL APPROACH FOR OPTIMAL SHAPE DESIGN OF A NOZZLE
"... Abstract. In this paper we present a new method for designing a nozzle. In fact the problem is to find the optimal domain for the solution of a linear or nonlinear boundary value PDE, where the boundary condition is defined over an unspecified domain. By an embedding process, the problem is first tr ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
transformed to a new shapemeasure problem, and then this new problem is replaced by another in which we seek to minimize a linear form over a subset of linear equalities. This minimization is global, and the theory allows us to develop a computational method to find the solution by a finite
Results 1  10
of
3,903,161