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Accelerating EM Clustering to Find High Quality Solutions

by Carlos Ordonez, Edward Omiecinski
"... Clustering is one of the most important techniques used in Data Mining. This article focuses on the EM clustering algorithm. Two fundamental aspects are studied: achieving faster convergence and nding higher quality clustering solutions. This work introduces several improvements to the EM clustering ..."
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Clustering is one of the most important techniques used in Data Mining. This article focuses on the EM clustering algorithm. Two fundamental aspects are studied: achieving faster convergence and nding higher quality clustering solutions. This work introduces several improvements to the EM

TABU SEARCH

by Fred Glover, Rafael Marti
"... Tabu Search is a metaheuristic that guides a local heuristic search procedure to explore the solution space beyond local optimality. One of the main components of tabu search is its use of adaptive memory, which creates a more flexible search behavior. Memory based strategies are therefore the hallm ..."
Abstract - Cited by 822 (48 self) - Add to MetaCart
algorithms based on the tabu search. The experimentation shows that the procedures provide high quality solutions to the training problem, and in addition consume a reasonable computational effort.

A fast and high quality multilevel scheme for partitioning irregular graphs

by George Karypis, Vipin Kumar - SIAM JOURNAL ON SCIENTIFIC COMPUTING , 1998
"... Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to construct a partition for the original graph [Bui and Jones, Proc. ..."
Abstract - Cited by 1189 (15 self) - Add to MetaCart
Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to construct a partition for the original graph [Bui and Jones, Proc.

Image Quality Assessment: From Error Visibility to Structural Similarity

by Zhou Wang, Alan C. Bovik, Hamid R. Sheikh, Eero P. Simoncelli - IEEE TRANSACTIONS ON IMAGE PROCESSING , 2004
"... Objective methods for assessing perceptual image quality have traditionally attempted to quantify the visibility of errors between a distorted image and a reference image using a variety of known properties of the human visual system. Under the assumption that human visual perception is highly adapt ..."
Abstract - Cited by 1499 (114 self) - Add to MetaCart
Objective methods for assessing perceptual image quality have traditionally attempted to quantify the visibility of errors between a distorted image and a reference image using a variety of known properties of the human visual system. Under the assumption that human visual perception is highly

Marching cubes: A high resolution 3D surface construction algorithm

by William E. Lorensen, Harvey E. Cline - COMPUTER GRAPHICS , 1987
"... We present a new algorithm, called marching cubes, that creates triangle models of constant density surfaces from 3D medical data. Using a divide-and-conquer approach to generate inter-slice connectivity, we create a case table that defines triangle topology. The algorithm processes the 3D medical d ..."
Abstract - Cited by 2696 (4 self) - Add to MetaCart
-slice connectivity, surface data, and gradient information present in the original 3D data. Results from computed tomography (CT), magnetic resonance (MR), and single-photon emission computed tomography (SPECT) illustrate the quality and functionality of marching cubes. We also discuss improvements that decrease

Robust Uncertainty Principles: Exact Signal Reconstruction From Highly Incomplete Frequency Information

by Emmanuel J. Candès, Justin Romberg, Terence Tao , 2006
"... This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discrete-time signal and a randomly chosen set of frequencies. Is it possible to reconstruct from the partial knowledge of its Fourier coefficients on the set? A typical result of this pa ..."
Abstract - Cited by 2632 (50 self) - Add to MetaCart
of this paper is as follows. Suppose that is a superposition of spikes @ Aa @ A @ A obeying @�� � A I for some constant H. We do not know the locations of the spikes nor their amplitudes. Then with probability at least I @ A, can be reconstructed exactly as the solution to the I minimization problem I aH @ A s

Actions as space-time shapes

by Lena Gorelick, Moshe Blank, Eli Shechtman, Michal Irani, Ronen Basri - IN ICCV , 2005
"... Human action in video sequences can be seen as silhouettes of a moving torso and protruding limbs undergoing articulated motion. We regard human actions as three-dimensional shapes induced by the silhouettes in the space-time volume. We adopt a recent approach [14] for analyzing 2D shapes and genera ..."
Abstract - Cited by 651 (4 self) - Add to MetaCart
and viewpoint, high irregularities in the performance of an action, and low quality video.

Cluster Ensembles - A Knowledge Reuse Framework for Combining Multiple Partitions

by Alexander Strehl, Joydeep Ghosh, Claire Cardie - Journal of Machine Learning Research , 2002
"... This paper introduces the problem of combining multiple partitionings of a set of objects into a single consolidated clustering without accessing the features or algorithms that determined these partitionings. We first identify several application scenarios for the resultant 'knowledge reuse&ap ..."
Abstract - Cited by 603 (20 self) - Add to MetaCart
' framework that we call cluster ensembles. The cluster ensemble problem is then formalized as a combinatorial optimization problem in terms of shared mutual information. In addition to a direct maximization approach, we propose three effective and efficient techniques for obtaining high-quality combiners

Clustering by passing messages between data points

by Brendan J. Frey, Delbert Dueck - Science , 2007
"... Clustering data by identifying a subset of representative examples is important for processing sensory signals and detecting patterns in data. Such “exemplars ” can be found by randomly choosing an initial subset of data points and then iteratively refining it, but this works well only if that initi ..."
Abstract - Cited by 696 (8 self) - Add to MetaCart
if that initial choice is close to a good solution. We devised a method called “affinity propagation,” which takes as input measures of similarity between pairs of data points. Real-valued messages are exchanged between data points until a high-quality set of exemplars and corresponding clusters gradually emerges

Using Branch-and-Price to Find High-Quality Solutions Quickly

by Mike Hewitt, George L. Nemhauser, Martin W. P. Savelsbergh
"... When integer programming (IP) models are used in operational situations there is a need to consider the tradeoff between the conflicting goals of solution quality and solution time, since for many problems solving realistic-size instances to a tight tolerance is still beyond the capability of state- ..."
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When integer programming (IP) models are used in operational situations there is a need to consider the tradeoff between the conflicting goals of solution quality and solution time, since for many problems solving realistic-size instances to a tight tolerance is still beyond the capability of state
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