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Unified analysis of discontinuous Galerkin methods for elliptic problems

by Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn, L. Donatella Marini - SIAM J. Numer. Anal , 2001
"... Abstract. We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical treatment ..."
Abstract - Cited by 525 (31 self) - Add to MetaCart
treatment of elliptic problems.

Self-efficacy: Toward a unifying theory of behavioral change

by Albert Bandura - Psychological Review , 1977
"... The present article presents an integrative theoretical framework to explain and to predict psychological changes achieved by different modes of treatment. This theory states that psychological procedures, whatever their form, alter the level and strength of self-efficacy. It is hypothesized that ex ..."
Abstract - Cited by 3697 (4 self) - Add to MetaCart
The present article presents an integrative theoretical framework to explain and to predict psychological changes achieved by different modes of treatment. This theory states that psychological procedures, whatever their form, alter the level and strength of self-efficacy. It is hypothesized

Learnability and the Vapnik-Chervonenkis dimension

by Anselm Blumer, ANDRZEJ EHRENFEUCHT, David Haussler, Manfred K. Warmuth , 1989
"... Valiant’s learnability model is extended to learning classes of concepts defined by regions in Euclidean space E”. The methods in this paper lead to a unified treatment of some of Valiant’s results, along with previous results on distribution-free convergence of certain pattern recognition algorith ..."
Abstract - Cited by 727 (22 self) - Add to MetaCart
Valiant’s learnability model is extended to learning classes of concepts defined by regions in Euclidean space E”. The methods in this paper lead to a unified treatment of some of Valiant’s results, along with previous results on distribution-free convergence of certain pattern recognition

Planning Algorithms

by Steven M LaValle , 2004
"... This book presents a unified treatment of many different kinds of planning algorithms. The subject lies at the crossroads between robotics, control theory, artificial intelligence, algorithms, and computer graphics. The particular subjects covered include motion planning, discrete planning, planning ..."
Abstract - Cited by 1133 (49 self) - Add to MetaCart
This book presents a unified treatment of many different kinds of planning algorithms. The subject lies at the crossroads between robotics, control theory, artificial intelligence, algorithms, and computer graphics. The particular subjects covered include motion planning, discrete planning

A Unified Treatment of Uncertainties

by Pei Wang , 1993
"... "Uncertainty in artificial intelligence" is an active research field, where several approaches have been suggested and studied for dealing with various types of uncertainty. However, it's hard to rank the approaches in general, because each of them is usually aimed at a special applic ..."
Abstract - Cited by 3 (3 self) - Add to MetaCart
"Uncertainty in artificial intelligence" is an active research field, where several approaches have been suggested and studied for dealing with various types of uncertainty. However, it's hard to rank the approaches in general, because each of them is usually aimed at a special application environment. This paper begins by defining such anenvironment, then show why some existing approaches cannot be used in such a situation. Then a new approach, Non-Axiomatic Reasoning System, is introduced to work in the environment. The system is designed under the assumption that the system's knowledge and resources are usually insufficient to handle the tasks imposed by its environment. The system can consistently represent several types of uncertainty, and can carry out multiple operations on these uncertainties. Finally, the new approach is compared with the previous approaches in terms of uncertainty representation and interpretation.

Large steps in cloth simulation

by David Baraff, Andrew Witkin - SIGGRAPH 98 Conference Proceedings , 1998
"... The bottle-neck in most cloth simulation systems is that time steps must be small to avoid numerical instability. This paper describes a cloth simulation system that can stably take large time steps. The simulation system couples a new technique for enforcing constraints on individual cloth particle ..."
Abstract - Cited by 576 (5 self) - Add to MetaCart
particles with an implicit integration method. The simulator models cloth as a triangular mesh, with internal cloth forces derived using a simple continuum formulation that supports modeling operations such as local anisotropic stretch or compression; a unified treatment of damping forces is included

A unified treatment of electrostatics and circuits

by Bruce A. Sherwood, Ruth W. Chabay
"... In introductory electricity courses, electrostatic and circuit phenomena are usually treated as separate and unrelated. By emphasizing the crucial role played by charges on the surfaces of circuit elements, it is possible to describe circuit behavior directly in terms of charge and electric field. T ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
. This more fundamental description of circuits makes it possible to unify the treatment of electrostatics and circuits. I.

Segmentation using eigenvectors: A unifying view

by Yair Weiss - In ICCV , 1999
"... Automatic grouping and segmentation of images remains a challenging problem in computer vision. Recently, a number of authors have demonstrated good performance on this task using methods that are based on eigenvectors of the a nity matrix. These approaches are extremely attractive in that they are ..."
Abstract - Cited by 380 (1 self) - Add to MetaCart
in that they are based on simple eigendecomposition algorithms whose stability is well understood. Nevertheless, the use of eigendecompositions in the context of segmentation is far from well understood. In this paper we give a unied treatment of these algorithms, and show the close connections between them while

UNIFIED TREATMENT OF MULTISYMPLECTIC 3-FORMS IN DIMENSION 6

by unknown authors , 2004
"... Abstract. On a 6-dimensional real vector space V there are three types of multisymplectic 3-forms. We present in this paper a unified treatment of these three types. Forms of each type represent a subset of Λ 3 V ∗. In two cases they are open subsets, in the third one it is a submanifold of codimens ..."
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Abstract. On a 6-dimensional real vector space V there are three types of multisymplectic 3-forms. We present in this paper a unified treatment of these three types. Forms of each type represent a subset of Λ 3 V ∗. In two cases they are open subsets, in the third one it is a submanifold

C.: A Unified Treatment of Knowledge Dynamics

by Isabelle Bloch, Ecole Nationale Supérieure - In: International Conference on the Principles of Knowledge Representation and Reasoning, KR 2004 , 2004
"... Using morpho-logics we show how to find explana-tions of observations, how to perform revision, con-traction, fusion, in an unified way. In the framework of abduction, we show how to deal with observa-tions inconsistent with the background theory and introduce methods to treat multiple observations. ..."
Abstract - Cited by 4 (3 self) - Add to MetaCart
Using morpho-logics we show how to find explana-tions of observations, how to perform revision, con-traction, fusion, in an unified way. In the framework of abduction, we show how to deal with observa-tions inconsistent with the background theory and introduce methods to treat multiple observations
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