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Sorting in Space: Multidimensional, spatial, and metric data structures for applications in spatial databases, geographic information systems (GIS), and location-based services

H. Samet
<span title="">2013</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/vuw5ktdyknehrehttg5qm4rfqm" style="color: black;">2013 IEEE 29th International Conference on Data Engineering (ICDE)</a> </i> &nbsp;
Techniques for representing multidimensional, spatial, and metric data for applications in spatial databases, geographic information systems (GIS), and location-based services are reviewed.  ...  INTRODUCTION The representation of multidimensional, spatial, and metric data is an important issue in applications of spatial database, geographic information systems (GIS), and location-based services  ...  In fact, very often, the boundaries cannot be expressed explicitly as, for example, in the case of an arbitrary metric space (in contrast to a Euclidean space) where we do not have a direct representation  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icde.2013.6544917">doi:10.1109/icde.2013.6544917</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/icde/Samet13.html">dblp:conf/icde/Samet13</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ogedftye5vbybes7nukgrrg3fq">fatcat:ogedftye5vbybes7nukgrrg3fq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20130423083151/http://www.cs.umd.edu/~hjs/pubs/icde13-tutorial.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/74/85/74853fc02909d86bb30f364f275a379708caf9d9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icde.2013.6544917"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

ON MULTIDIMENSIONAL SCALING WITH EUCLIDEAN AND CITY BLOCK METRICS

Antanas Žilinskas, Julius Žilinskas
<span title="2006-03-31">2006</span> <i title="Vilnius Gediminas Technical University"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2fzzrhlwsraita5puh22minmby" style="color: black;">Technological and Economic Development of Economy</a> </i> &nbsp;
The experimental results show the influence of metrics defining distances in the considered spaces on the results of multidimensional scaling.  ...  Multidimensional scaling (MDS) addresses the problem how objects represented by proximity data can be represented by points in low dimensional space.  ...  When city block metric is used in both spaces, three-and four-dimensional simplexes can be visualized fitting multidimensional distances exactly. This is the case for city block metrics only.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3846/13928619.2006.9637725">doi:10.3846/13928619.2006.9637725</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gru56n5xtrccnpwyrnexnl3m5y">fatcat:gru56n5xtrccnpwyrnexnl3m5y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190427174310/https://journals.vgtu.lt/index.php/TEDE/article/download/7972/6908" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c0/ba/c0bacaae1b9abe2c15316a8588878b3ff306833e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3846/13928619.2006.9637725"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Bios2mds: an R package for comparing orthologous protein families by metric multidimensional scaling

Julien Pelé, Jean-Michel Bécu, Hervé Abdi, Marie Chabbert
<span title="">2012</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/n5zrklrhlzhtdorf4rk4rmeo3i" style="color: black;">BMC Bioinformatics</a> </i> &nbsp;
This matrix can also be visualized in a low dimensional space by metric multidimensional scaling (MDS).  ...  Applied to protein families, MDS provides information complementary to the information derived from tree-based methods.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/1471-2105-13-133">doi:10.1186/1471-2105-13-133</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/22702410">pmid:22702410</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC3403911/">pmcid:PMC3403911</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mjv2m3hpkff3naneade7gxsmdu">fatcat:mjv2m3hpkff3naneade7gxsmdu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190412093057/https://core.ac.uk/download/pdf/52413433.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9a/f4/9af45ad3587ece36130bdc448a325ccace76c187.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/1471-2105-13-133"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> springer.com </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3403911" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

A metric for odorant comparison

Rafi Haddad, Rehan Khan, Yuji K Takahashi, Kensaku Mori, David Harel, Noam Sobel
<span title="2008-03-30">2008</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/l6cw2tyvgrhytbvantrj2os37y" style="color: black;">Nature Methods</a> </i> &nbsp;
We use this new metric to recommend sets of odorants that span the physicochemical space for use in olfaction experiments.  ...  We generated a multidimensional odor metric, in which each odorant molecule was represented as a vector of 1,664 molecular descriptor values.  ...  Published online at http://www.nature.com/naturemethods/ Reprints and permissions information is available online at http://npg.nature.com/reprintsandpermissions AUTHOR CONTRIBUTIONS  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/nmeth.1197">doi:10.1038/nmeth.1197</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/18376403">pmid:18376403</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/e4ymrem7ejcvfmzfiodqtooei4">fatcat:e4ymrem7ejcvfmzfiodqtooei4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809081951/http://www.wisdom.weizmann.ac.il/~harel/papers/Odor.Metric.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/2e/20/2e2031a5e8fd839e0a6464a076ffc12c296bdc19.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/nmeth.1197"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> nature.com </button> </a>

Upper semi-continuity of the separating equilibrium correspondence

Peter H Huang
<span title="">1989</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/sj24t22gfnfprddmjorsfd6flq" style="color: black;">Journal of Economic Theory</a> </i> &nbsp;
with (many) signals as the set of zeroes of a suitable mapping and show continuity of this mapping for a suitable topolm We prove upper semi-continuity (USC) of the correspondence mapping the set of multidimensional  ...  Let Q be the set of all types and Y be the set of all feasible signals, both possibly multidimensional spaces. ASSUMPTION 1. Y is a compact metric space. ASSUMPTION 2.  ...  Continuity of the function from the space of multidimensional signallin environments defined in Engers into the space of Pareto~domi~ant separating sets is proven.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0022-0531(89)90026-4">doi:10.1016/0022-0531(89)90026-4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/x6g5mspesbflvd3ajfdgoctpum">fatcat:x6g5mspesbflvd3ajfdgoctpum</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190219170412/http://pdfs.semanticscholar.org/18bc/61ea3d28f518944aa1d19edbad6281af773f.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/18/bc/18bc61ea3d28f518944aa1d19edbad6281af773f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0022-0531(89)90026-4"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Analysing Temporal Evolution of Complex Data Using Similarity Queries

Isis C. O. S. Fogaça, Renato Bueno
<span title="2021-10-02">2021</span> <i title="Sociedade Brasileira de Computacao - SB"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/er2lc36yujbpxfm4l4snzitm2y" style="color: black;">Journal of Information and Data Management</a> </i> &nbsp;
In this article we propose to map the metric data to a multidimensional space so that we can estimate the element's status at a given time instant, based on known states of the same element.  ...  Without dimensional coordinates, it is not possible simply to add a time dimension for trajectory estimation in these spaces, as is the case in multidimensional spaces.  ...  However, we are not able to create an element in the metric space from the multidimensional space estimate.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5753/jidm.2021.1920">doi:10.5753/jidm.2021.1920</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bittgyxezndtngalw57w7h6hoa">fatcat:bittgyxezndtngalw57w7h6hoa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20211025110355/https://sol.sbc.org.br/journals/index.php/jidm/article/download/1920/1822" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e1/20/e12055b15ea5cf6c01134aade31bcacac0c2252b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5753/jidm.2021.1920"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Optimal Experimental Design for Biophysical Modelling in Multidimensional Diffusion MRI [chapter]

Santiago Coelho, Jose M. Pozo, Sune N. Jespersen, Alejandro F. Frangi
<span title="">2019</span> <i title="Springer International Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
This framework is based on maximising the determinant of the Fisher information matrix, which is averaged over the full SM parameter space.  ...  This averaging provides a fairly objective information metric tailored for the expected signal but that only depends on the acquisition configuration.  ...  We defined a metric to quantify the information provided by each B-set, based on the computation of an averaged Fisher information matrix.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-030-32248-9_69">doi:10.1007/978-3-030-32248-9_69</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6nngwn235bgoha33fxmvmf7osi">fatcat:6nngwn235bgoha33fxmvmf7osi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200507175147/http://eprints.whiterose.ac.uk/149153/1/1907.06139v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/38/8b/388bc68251cc74ec54c9140fefbb834744452c3e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-030-32248-9_69"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Comparison of Multidimensional Data Access Methods for Feature-Based Image Retrieval

Serdar Arslan, Ahmet Sacan, Esra Acar, I. Hakki Toroslu, Adnan Yazici
<span title="">2010</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jsl2pgelqja2piczru3a6nqkg4" style="color: black;">2010 20th International Conference on Pattern Recognition</a> </i> &nbsp;
Within the scope of information retrieval, efficient similarity search in large document or multimedia collections is a critical task.  ...  We further show that using multidimensional scaling can achieve comparable accuracy, while speeding-up the query times significantly by allowing the use of spatial access methods.  ...  , which is an index structure on metric spaces [3] , and a Landmark Multidimensional Scaling (LMDS) method which uses FastMap method for landmark selection [4] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icpr.2010.797">doi:10.1109/icpr.2010.797</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/icpr/ArslanSATY10.html">dblp:conf/icpr/ArslanSATY10</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/nn6kveedvbdmldcnv32kupvque">fatcat:nn6kveedvbdmldcnv32kupvque</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809060409/http://www.dai-labor.de/fileadmin/Files/Publikationen/Buchdatei/ICPR2010.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d1/92/d1927b2070fb35762dffd8637b194db89108db8a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icpr.2010.797"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Unidimensional Calibrations and Interpretations of Composite Traits for Multidimensional Tests

Richard M. Luecht, Timothy R. Miller
<span title="">1992</span> <i title="SAGE Publications"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/femq66fbivd3dlxwf2pjdav6ye" style="color: black;">Applied Psychological Measurement</a> </i> &nbsp;
In the first stage, items are clustered in a multidimensional latent space with respect to their direction of maximum discrimination.  ...  The separate item clusters are subsequently calibrated using a unidimensional IRT model to provide item parameter and trait estimates for composite traits in the context of the multidimensional trait space  ...  space.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1177/014662169201600308">doi:10.1177/014662169201600308</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yt7nocd4zvgi3hxx4wn5blvt3m">fatcat:yt7nocd4zvgi3hxx4wn5blvt3m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170818055726/https://conservancy.umn.edu/bitstream/handle/11299/115720/v16n3p279.pdf?sequence=1" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a2/09/a20959ec99cea43febaa9ee0692a9306b0a6060c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1177/014662169201600308"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> sagepub.com </button> </a>

Visualization of Fuzzy Clustering Result in Metric Space

Mika Sato-Ilic, Peter Ilic
<span title="">2016</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cx3f4s3qmfe6bg4qvuy2cxezyu" style="color: black;">Procedia Computer Science</a> </i> &nbsp;
That is, the obtained solutions as a fuzzy clustering result must be in a metric space. In order to implement this, we have proposed multidimensional joint scale and cluster analysis.  ...  This paper clarifies that the multidimensional joint scale and cluster analysis introduces scale to the fuzzy clustering result and then the visualization of the fuzzy clustering result in the metric vector  ...  metric vector space.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.procs.2016.08.214">doi:10.1016/j.procs.2016.08.214</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3ldwuzy2rvdalivjw7tlloa45a">fatcat:3ldwuzy2rvdalivjw7tlloa45a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170923173143/http://publisher-connector.core.ac.uk/resourcesync/data/elsevier/pdf/044/aHR0cDovL2FwaS5lbHNldmllci5jb20vY29udGVudC9hcnRpY2xlL3BpaS9zMTg3NzA1MDkxNjMyMDI0NQ%3D%3D.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ad/2b/ad2b2e4b5edc0c8ca1e62aa92e45faf43ca2f191.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.procs.2016.08.214"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> elsevier.com </button> </a>

Branch and bound algorithm for multidimensional scaling with city-block metric

Antanas Žilinskas, Julius Žilinskas
<span title="2008-04-17">2008</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dpj4kespnjdflemhwaulft4tm4" style="color: black;">Journal of Global Optimization</a> </i> &nbsp;
Keywords Multidimensional scaling · City-block metric · Branch and bound  ...  A two level global optimization algorithm for multidimensional scaling (MDS) with city-block metric is proposed. The piecewise quadratic structure of the objective function is employed.  ...  A set of points in an embedding metric space is considered as an image of the set of objects.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10898-008-9306-x">doi:10.1007/s10898-008-9306-x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qguu4ygmffblrdbl2vomgoii3e">fatcat:qguu4ygmffblrdbl2vomgoii3e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190309052534/http://pdfs.semanticscholar.org/ff39/c8ce3af05d310511f03418fe205889cd2ad4.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ff/39/ff39c8ce3af05d310511f03418fe205889cd2ad4.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10898-008-9306-x"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

VISUAL ANALYSIS OF TEXT DATA COLLECTIONS BY FREQUENCIES OF JOINT USE OF WORDS

A. E. Bondarev, A. V. Bondarenko, V. A. Galaktionov
<span title="2021-04-15">2021</span> <i title="Copernicus GmbH"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/i74shj7anreaxjo327fokng66m" style="color: black;">The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences</a> </i> &nbsp;
The construction of elastic maps and their extensions in the space of the first three principal components makes it possible to determine the cluster structure of the studied multidimensional data volumes  ...  The presented research considers the problems of studying the cluster structure of multidimensional data volumes.  ...  For these purposes, different metrics are used in multidimensional data volumes.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5194/isprs-archives-xliv-2-w1-2021-21-2021">doi:10.5194/isprs-archives-xliv-2-w1-2021-21-2021</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/uhv45o6pwzczpmr6ayiaggefwi">fatcat:uhv45o6pwzczpmr6ayiaggefwi</a> </span>
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Page 1121 of Automation and Remote Control Vol. 34, Issue 7 [page]

<span title="">1973</span> <i title="Springer Science &amp; Business Media"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_automation-and-remote-control" style="color: black;">Automation and Remote Control </a> </i> &nbsp;
Young, "Nonmetric multidimensional scaling: recovery of metric information," Psychometrika, 35, No, 4 (1970). P, F. Andrukovich, V. S. Gribkov, V. P. Kozyrev, V. V.  ...  Schonemann, "On metric multidimensional unfolding,” Psychometrika, 35, No, 3 (1970). G. G. Bechtel, L. R. Tucker, and W.  ... 
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Techniques for similarity searching in multimedia databases

Hanan Samet
<span title="2010-09-01">2010</span> <i title="VLDB Endowment"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p6rqwwpkkjbcldejepcehaalby" style="color: black;">Proceedings of the VLDB Endowment</a> </i> &nbsp;
This includes a discussion of the curse of dimensionality, as well as multidimensional indexing, distancebased indexing, and the actual search process which is realized by nearest neighbor finding.  ...  The high-dimensional feature space is indexed using some multidimensional data structure (termed multidimensional indexing) with appropriate modifications to fit the high-dimensional problem environment  ...  This is not the case for the multidimensional indexing methods which have the advantage of supporting arbitrary distance metrics (however, this comparison is not entirely fair, since the assumption, when  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.14778/1920841.1921064">doi:10.14778/1920841.1921064</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/z63jjl5gabd5ddbocbppbl5h3i">fatcat:z63jjl5gabd5ddbocbppbl5h3i</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20110401083026/http://www.cs.umd.edu/~hjs/pubs/vldb10-tutorial.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/cf/06/cf061e0200ae359616e658bf1402976d73a144be.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.14778/1920841.1921064"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Disentangled Multidimensional Metric Learning for Music Similarity [article]

Jongpil Lee, Nicholas J. Bryan, Justin Salamon, Zeyu Jin, Juhan Nam
<span title="2020-08-12">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
multidimensional similarity metric.  ...  We evaluate our method and show that our single, multidimensional model outperforms both specialized similarity spaces and alternative baselines.  ...  In this paper, we propose a deep disentangled metric learning method for learning a multidimensional music similarity space (embedding).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2008.03720v2">arXiv:2008.03720v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/y2o5ihucgzbx3bbd34udu6rn3e">fatcat:y2o5ihucgzbx3bbd34udu6rn3e</a> </span>
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