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Topic: Matching problem

	Matching
		Problem description: Find the largest-size set of edges S from E such that each vertex in V is incident to at most one edge of S.
		The standard algorithms for bipartite matching are based on network flow, using a simple transformation to convert a bipartite graph into an equivalent flow graph.
		Another common ``application'' of bipartite matching is in marrying off a set of boys to a set of girls such that each boy gets a girl he likes.
	www2.toki.or.id /book/AlgDesignManual/BOOK/BOOK4/NODE164.HTM (1293 words)

	Volumetric Shape Matching and Visualization
		Problems can arise in the mapping from the continuous geodesic function to the discrete graph as the structure or topology of the graph is entirely dependent on the choice of interval size.
		These include: the number of nodes matched (or the percentage of nodes matched from the target and from the key), the sizes of the clusters of nodes matched, and a detailed specification of which nodes were matched to which other nodes.
		Certainly, the problem of matching is somewhat subjective, and using skeletal graphs is one method to retrieve a possible match.
	www.caip.rutgers.edu /~hsundar/spi03 (5337 words)

	Matching Strings of Renaissance Letters (Site not responding. Last check: 2007-10-23)
		This way the problem for matching words, which contain Renaissance letters, is reduced to the problem for matching finite numerical sequences.
		Follows that the problem for matching of graph trees may be restricted to matching of finite numerical sequences.
		Remember that the problem for matching Renaissance words is reduced to matching aspect graph tree, which we restricted to processing and matching of finite numerical sequences.
	jan.ucc.nau.edu /~nms35/Letters_Math.htm (2857 words)

	Adoption History: Matching
		The only matching required by early adoption laws was matching by religion, and these laws were frequently disregarded by child-savers, such as Charles Loring Brace, who preferred matching children with the (Protestant) religion of the placing organization, rather than that of (Catholic) natal kin.
		Between 1920 and 1970, matching was popular, especially among infertile couples who sought to adopt because they were unable to conceive children of their “own.” By midcentury, infertility had become an unquestioned qualification for adoption.
		Matching reinforced the notion that blood was thicker than water, the very ideology that made adoption inferior, while seeking to equalize and dignify it.
	darkwing.uoregon.edu /~adoption/topics/matching.html (530 words)

	1.4.6 Matching (Site not responding. Last check: 2007-10-23)
		Problem: Find the largest size set of edges S \in E such that each vertex in V is incident to at most one edge of S.
		Efficient algorithms for constructing matchings are based on constructing augmenting paths in graphs.
		Given a (partial) matching M in a graph G, an augmenting path P is a path of edges where every odd-numbered edge (including the first and last edge) is not in M, while every even-numbered edge is. Further, the first and last vertices must not be already in M.
	www.cs.sunysb.edu /~algorith/files/matching.shtml (336 words)

	New Page 1
		Matching can be defined as: a set of edges where at the most, one end point of a selected edge is incident to any node.
		When the objective of the problem is to determine the maximum number of arcs in the matching, the problem is called maximum cardinality matching problem.
		The matching problem introduces these new data as an n dimensional vector that is interpreted as a cost function.
	www.me.utexas.edu /~jensen/network_02/topic_pages/pablo_gomez/matching.htm (199 words)

	» The Matching Columns Script Video Tutorial: Matching CSS div Heights » Blog Archive Website Design Blog - ...
		Another problem is that the Matching Columns script checks for the highest column and then assigns all colum heights that value.
		The problem is that when I add an ‘onload’ event to the body tag for something else, for some reason it interferes with the matching columns and then fails to work
		Unfortunately I discovered a small problem when i was working on a layout with 3 divs where two of them have a 1px border.
	www.killersites.com /blog/2006/matching-div-heigths (3979 words)

	Stable Matching Algorithms - EPSRC research project (Site not responding. Last check: 2007-10-23)
		Therefore an unstable matching allows a student and a hospital who are not matched together to reject their allocations and become assigned to each other, thereby undermining the integrity of the matching.
		In the UK prior to August 2006, the problem of matching graduating medical students to hospitals was complicated by the fact that students sought not one post (as in the US and Canada, for example) but two posts, namely a medical post and a surgical post.
		Matching medical students to pairs of hospitals: a new variation on a well-known theme", in Proceedings of ESA'98: the Sixth Annual European Symposium on Algorithms, vol.
	www.dcs.gla.ac.uk /research/algorithms/stable (1097 words)

	R: Multivariate and Propensity Score Matching Estimator for Causal Inference
		Matches within each level are found as determined by the usual matching options.
		This is the equivalent to doing exact matching on each factor, and the way in which matches are found within each factor is determined by the usual matching options.
		The number of matches which were dropped because there were not enough observations in a given group and because of caliper and exact matching.
	sekhon.berkeley.edu /matching/Matchby.html (1143 words)

	Surface Matching (Site not responding. Last check: 2007-10-23)
		A general matching formulation problem can be stated as: given two structures S and D define a function which associates to any point of S a corresponding point on D. The characterization of such function is an ill-posed problem in the sense there is no unique solution.
		The problem of matching surfaces is also very important in surface registration ([2,3,8,9,13]), range view registration ([6,7,12]).
		Such problems occurs when we are interested in studying the evolution of a structure whose topology evolves in time [23].
	homepages.inf.ed.ac.uk /rbf/CVonline/LOCAL_COPIES/YAHIA (1231 words)

	Haili Chui's Research
		Through the matching of the two feature point sets, we can find the deformation that can warp the shape of one person's face to be the same as the other.
		We have designed a new non-rigid point matching algorithm that is capable of estimating both complex non-rigid transformations as well as meaningful correspondences between two sets of points.
		Designed as a general purpose tool in mind, the point matching algorithm can be applied to many different problems in a diversity of areas such as computer graphics, computer vision and image processing.
	www.cise.ufl.edu /~anand/students/chui/research.html (907 words)

	The Person-Matching Problem (Site not responding. Last check: 2007-10-23)
		Matching would be trivial if there were a one-to-one correlation between each person and some unique identifier.
		However, in those cases where the matching does not occur (or occurs incorrectly), multiple UNIs for a single person (or one UNI for multiple people) results.
		If all systems provide best-effort matching based on all available fields, not just on one field, errors might be greatly reduced.
	www.columbia.edu /acis/id-management/general/id-matching.shtml (627 words)

	Class Notes for Advanced Algorithms COMP7113 (Site not responding. Last check: 2007-10-23)
		The bipartite matching problem can be extended to more sets, in that case it is called Hyper-Matching problem, this problem is harder (it is NP-hard) and it cannot be solved using the strategy shown here.
		An instance of the problem is obtained by assigning values to the parameters of the problem.
		The problems that belong to this class are considered ``efficiently solvable'', clearly this is a subjective affirmation, however it is generally accepted.
	www.msci.memphis.edu /~giri/7713/f00/FGonzalez/notes.html (1444 words)

	New Page 1 (Site not responding. Last check: 2007-10-23)
		Thus, in certain applications, the matching problem is used in order to obtain a lower bound of the traveling salesman problem.
		This problem will be computable if one limits the graph to a neighbor of the shortest path road, where the possible alternative ways keeps themselves in a management number.
		This problem is modeled as a Set Partitioning where the decision variables are whether a crew is assigned to a certain flight or not.
	www.me.utexas.edu /~jensen/network_02/topic_pages/pablo_gomez/Applicat.htm (800 words)

	A Bipartite Matching Approach to Approximate String Comparison and Search
		The general idea is to iteratively calculate an optimal match at a given alignment, then to calculate a ``free realignment'' which improves the cost of the match, and then to repeat the process.
		Moreover a quadratic number of matching edge changes are generated despite the fact that the canonical skis and skiers matching might have been used; avoiding all leveling alarms, matching edge changes, and rematching alarms.
		This may be thought of as a crude projection of the matching model so as to use a cost function which assumes a constant value for all matching edges independent of edge length.
	www.pnylab.com /pny/papers/string_compare/string_compare (6457 words)

	Mathematical Programming Glossary - M (Site not responding. Last check: 2007-10-23)
		Given a graph, a matching is a subgraph with the property that no two edges are incident to the same node.
		The assignment problem is a classical perfect matching, whereby the graph is bipartite (nodes are two sets: people and jobs), and the matching must have all nodes (every person must do a job, and every job must be done).
		Further, the cost of each such matching is precisely the total cost of the corresponding assignment, so this min-cost matching problem is the same as the assignment problem.
	carbon.cudenver.edu /~hgreenbe/glossary/M.html (2365 words)

	Contour matching: problem and related work (Site not responding. Last check: 2007-10-23)
		The idea behind proximity matching methods is to search for the best matching while permitting the rotation, translation and scaling (to be called alignment transformation) of each curve, such that the distances between matched key points are minimized [4,20,21,42].
		The vision problem is different from the string matching problem in two major aspects, however: first, in vision invariance to certain geometrical transformations is desired; second, a resolution degradation (or smoothing) may create a completely different list of elements in the syntactical representation.
		If invariant attributes are used, the first problem is immediately addressed, but then the resolution problem either remains unsolved [1,17,25] or may be addressed by constructing for each curve a cascade of representations at different scales [3,29,41].
	www.dai.ed.ac.uk /CVonline/LOCAL_COPIES/GDALYAHU/gdalyahu.html (1104 words)

	Approximate Matching with Suffix Trees
		Approximate matching is a common real world problem with application to a variety of problems including: signal recovery, DNA sequence matching, and pattern matching in a corrupt text.
		A dynamic programming solution to the k-mismatch problem is presented, followed by a hybrid suffix-tree/dynamic programming method, which directly results in a solution to the k-difference problem.
		Note that there are two matches due to the overlap seen in the middle of the DP table in Figure 8 (right).
	homepage.usask.ca /~ctl271/810/approximate_matching.shtml (4159 words)

	SDP Subgraph Matching Approach
		To solve the problem of finding a subgraph matching we use a convex relaxation of the combinatorial problem to minimize a quadratic objective function over 0,1-variables with some given constraints.
		The quadratic optimization problem is deduced from the linear optimization problem for finding a bipartite matching between two sets of vertices by introducing a quadratic regularization term which also incorporates the underlying structure of two graphs.
		In general this subgraph matching problem is a combinatorial problem that is very hard to solve.
	www.cvgpr.uni-mannheim.de /cschelle/graphmatching.html (619 words)

	Overview and Preliminaries
		In this section, we formulate the change detection problem and split it into two subproblems that are discussed in later sections.
		Hereafter, we use the term ``matching'' to mean a partial matching unless stated otherwise.
		Our algorithm for the MCES problem is presented in Section 4, and Section 5 presents our algorithm for the Good Matching problem.
	infolab.stanford.edu /c3/papers/html/tdiff3-8/node3.html (824 words)

	Modelling and solving a matching problem
		And split the current problem into two cases which have to be dealt with separately.
		We consider a problem defined on a graph, which is a set of points, that may pairwise be connected by an edge or not.
		Formulate - in general - the perfect matching problem on N points, with costs C_ij on the edge between points i and j, as an Integral Linear Programming problem.
	www.win.tue.nl /~wscor/OW/2V300/LP-assignb.html (654 words)

	1 Introduction
		matching with all node capacities equal to one, 1-matching) and minimum cost flow problems.
		This staged approach also yields a strongly-polynomial algorithm for the weighted perfect b-matching problem if a strongly polynomial minimum cost flow algorithm is invoked to obtain the optimal fractional perfect matching in the first stage.
		the fractional matching problem, is often observed to be in the range of the total run time required for the integral optimal solution by a pure combinatorial approach.
	www.jea.acm.org /TURING/Vol4Nbr7/node1.html (1408 words)

	RAND \| Notes \| Structuring the components of the image matching problem
		The major emphasis is in describing the elements of the matching process--the scene, matching algorithms, and errors--and determining their roles in and effect on the matching process.
		Finally, the matching algorithms are defined as being of a feature matching correlation or hybrid type.
		The latter type is a new class of algorithm developed at RAND which bridges the gap between feature matching and correlation types of algorithms.
	www.rand.org /pubs/notes/N1216 (323 words)

	Matching Problem
		Problem restated: Find a method by which the fixture list may be constructed given any even number of teams.
		Further analysis: To highlight the problem, observe what may happen when the fixtures are made without planning ahead.
		Obviously, DvB was a poor choice for the second match of Round 2.
	indigo.ie /~hallinan/mathPgs/matching.htm (228 words)

	The Matching Problem (Site not responding. Last check: 2007-10-23)
		To find the discrete density function of the number of matches, we need to count the number of permutations with a specified number of matches.
		The mean and variance of the number of matches could be computed directly from the distribution.
		A match in one position would seem to make it more likely that there would be a match in another position.
	www.ds.unifi.it /VL/VL_EN/urn/urn6.html (770 words)

	Efficient Type Matching
		Also the matching of methods are shown, such as method m1 of interface I1 matches the method n4 of interface J2.
		Moreover since there are multiple matches for the methods in I2 and J1, the "status" shows "multiple matches for the methods".
		With the restriction, less matches are generated as shown in the upper-right window.
	www.cs.purdue.edu /homes/tzhao/matching/matching.htm (454 words)

	Baron Interactive Companion Website Chapter 7 -- Matching—Problem-Solving Techniques
		A strategy for solving problems based on applying solutions that were previously successful with other problems similar in underlying structure.
		A branch of science that studies the capacity of computers to demonstrate performance that, if it were produced by human beings, would be described as showing intelligence.
		A method of solving problems in which possible solutions are tried until one succeeds.
	cwabacon.pearsoned.com /bookbind/pubbooks/baronic_ab/chapter7/matching1/deluxe-content.html (166 words)

	SSRN-A Note on the Three—Portfolios Matching Problem by Fabio Trojani, Paolo Vanini, Luigi Vignola (Site not responding. Last check: 2007-10-23)
		A typical problem arising in financial planning for private investors consists in the fact that the initial investor's portfolio, the one determined by the consulting process of the financial institution and the universe of instruments made available to the investor have to be matched/optimised when determining the relevant portfolio choice.
		Clearly, the resulting portfolio selection should be as close as possible to the optimal asset allocation determined by the consulting process of the financial institution.
		In this paper, we solve the three-portfolios matching problem analytically for a simplified setting that illustrates the main features of the arising solutions and numerically for the more general situation.
	papers.ssrn.com /sol3/papers.cfm?abstract_id=369168 (359 words)

	CodeGuru Forums - XSLT Template Matching Problem (Site not responding. Last check: 2007-10-23)
		However, I can't seem to match the elements in the document.
		The default behaviour of the apply-templates element is to match all child nodes.
		The problem is caused by the namespace declarations.
	www.codeguru.com /forum/showthread.php?t=269911 (292 words)

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