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The particel swarm: Explosion, stability, and convergence in a multi-dimensional complex space

by Maurice Clerc, James Kennedy - IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTION
"... The particle swarm is an algorithm for finding optimal regions of complex search spaces through interaction of individuals in a population of particles. Though the algorithm, which is based on a metaphor of social interaction, has been shown to perform well, researchers have not adequately explained ..."
Abstract - Cited by 852 (10 self) - Add to MetaCart
in discrete time (the algebraic view), then progresses to the view of it in continuous time (the analytical view). A 5-dimensional depiction is developed, which completely describes the system. These analyses lead to a generalized model of the algorithm, containing a set of coefficients to control the system

Attention, similarity, and the identification-Categorization Relationship

by Robert M. Nosofsky , 1986
"... A unified quantitative approach to modeling subjects ' identification and categorization of multidimensional perceptual stimuli is proposed and tested. Two subjects identified and categorized the same set of perceptually confusable stimuli varying on separable dimensions. The identification dat ..."
Abstract - Cited by 690 (28 self) - Add to MetaCart
A unified quantitative approach to modeling subjects ' identification and categorization of multidimensional perceptual stimuli is proposed and tested. Two subjects identified and categorized the same set of perceptually confusable stimuli varying on separable dimensions. The identification

Using Discriminant Eigenfeatures for Image Retrieval

by Daniel L. Swets, John Weng , 1996
"... This paper describes the automatic selection of features from an image training set using the theories of multi-dimensional linear discriminant analysis and the associated optimal linear projection. We demonstrate the effectiveness of these Most Discriminating Features for view-based class retrieval ..."
Abstract - Cited by 508 (15 self) - Add to MetaCart
This paper describes the automatic selection of features from an image training set using the theories of multi-dimensional linear discriminant analysis and the associated optimal linear projection. We demonstrate the effectiveness of these Most Discriminating Features for view-based class

The eyes have it: A task by data type taxonomy for information visualizations

by Ben Shneiderman - IN IEEE SYMPOSIUM ON VISUAL LANGUAGES , 1996
"... A useful starting point for designing advanced graphical user interjaces is the Visual lnformation-Seeking Mantra: overview first, zoom and filter, then details on demand. But this is only a starting point in trying to understand the rich and varied set of information visualizations that have been ..."
Abstract - Cited by 1265 (28 self) - Add to MetaCart
A useful starting point for designing advanced graphical user interjaces is the Visual lnformation-Seeking Mantra: overview first, zoom and filter, then details on demand. But this is only a starting point in trying to understand the rich and varied set of information visualizations that have been

Spatial Reasoning about Points in a Multidimensional Setting

by P. Balbiani, J. -f. Condotta, L. Fariñas del Cerro, L. Fari~nas Del Cerro
"... This paper organizes, for every n 1, the topologic forms of the possible relations between the Cartesian coordinates of two points of the Euclidean space of dimension n over the field of real numbers. Working out n- dimensional point algebra on the pattern of point algebra and cardinal relati ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
and intersection. Finally, it proposes a set of n- dimensional point networks, the strongly preconvex n-dimensional point networks, whose consistency can be decided in polynomial time by means of the path-consistency algorithm or the weak path-consistency algorithm. Keywords: Spatial reasoning, Constraint

Modeling the Shape of the Scene: A Holistic Representation of the Spatial Envelope

by Aude Oliva, Antonio Torralba - International Journal of Computer Vision , 2001
"... In this paper, we propose a computational model of the recognition of real world scenes that bypasses the segmentation and the processing of individual objects or regions. The procedure is based on a very low dimensional representation of the scene, that we term the Spatial Envelope. We propose a se ..."
Abstract - Cited by 1313 (81 self) - Add to MetaCart
set of perceptual dimensions (naturalness, openness, roughness, expansion, ruggedness) that represent the dominant spatial structure of a scene. Then, we show that these dimensions may be reliably estimated using spectral and coarsely localized information. The model generates a multidimensional space

The algorithmic analysis of hybrid systems

by R. Alur, C. Courcoubetis, N. Halbwachs , T. A. Henzinger, P.-H. Ho, X. Nicollin , A. Olivero , J. Sifakis , S. Yovine - THEORETICAL COMPUTER SCIENCE , 1995
"... We present a general framework for the formal specification and algorithmic analysis of hybrid systems. A hybrid system consists of a discrete program with an analog environment. We model hybrid systems as nite automata equipped with variables that evolve continuously with time according to dynamica ..."
Abstract - Cited by 778 (71 self) - Add to MetaCart
to linear hybrid systems. In particular, we consider symbolic model-checking and minimization procedures that are based on the reachability analysis of an infinite state space. The procedures iteratively compute state sets that are definable as unions of convex polyhedra in multidimensional real space. We

Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions

by Jeffrey C. Lagarias, James A. Reeds, Margaret H. Wright, Paul E. Wright - SIAM Journal of Optimization , 1998
"... Abstract. The Nelder–Mead simplex algorithm, first published in 1965, is an enormously popular direct search method for multidimensional unconstrained minimization. Despite its widespread use, essentially no theoretical results have been proved explicitly for the Nelder–Mead algorithm. This paper pr ..."
Abstract - Cited by 598 (3 self) - Add to MetaCart
Abstract. The Nelder–Mead simplex algorithm, first published in 1965, is an enormously popular direct search method for multidimensional unconstrained minimization. Despite its widespread use, essentially no theoretical results have been proved explicitly for the Nelder–Mead algorithm. This paper

Fast subsequence matching in time-series databases

by Christos Faloutsos, M. Ranganathan, Yannis Manolopoulos - PROCEEDINGS OF THE 1994 ACM SIGMOD INTERNATIONAL CONFERENCE ON MANAGEMENT OF DATA , 1994
"... We present an efficient indexing method to locate 1-dimensional subsequences within a collection of sequences, such that the subsequences match a given (query) pattern within a specified tolerance. The idea is to map each data sequence into a small set of multidimensional rectangles in feature space ..."
Abstract - Cited by 533 (24 self) - Add to MetaCart
We present an efficient indexing method to locate 1-dimensional subsequences within a collection of sequences, such that the subsequences match a given (query) pattern within a specified tolerance. The idea is to map each data sequence into a small set of multidimensional rectangles in feature

Implementing data cubes efficiently

by Venky Harinarayan, Anand Rajaraman, Jeffrey D. Ulman - In SIGMOD , 1996
"... Decision support applications involve complex queries on very large databases. Since response times should be small, query optimization is critical. Users typically view the data as multidimensional data cubes. Each cell of the data cube is a view consisting of an aggregation of interest, like total ..."
Abstract - Cited by 548 (1 self) - Add to MetaCart
Decision support applications involve complex queries on very large databases. Since response times should be small, query optimization is critical. Users typically view the data as multidimensional data cubes. Each cell of the data cube is a view consisting of an aggregation of interest, like
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