Matches in SemOpenAlex for { <https://semopenalex.org/work/W11233167> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W11233167 abstract "It is the purpose of this paper to introduce a novel approach to clustering rank data on a set of possibly large cardinality n ∈ N*, relying upon Fourier representation of functions defined on the symmetric group Sn. In the present setup, covering a wide variety of practical situations, rank data are viewed as distributions on Sn. Cluster analysis aims at segmenting data into homogeneous subgroups, hopefully very dissimilar in a certain sense. Whereas considering dissimilarity measures/distances between distributions on the non commutative group Sn, in a coordinate manner by viewing it as embedded in the set [0, 1]n! for instance, hardly yields interpretable results and leads to face obvious computational issues, evaluating the closeness of groups of permutations in the Fourier domain may be much easier in contrast. Indeed, in a wide variety of situations, a few well-chosen Fourier (matrix) coefficients may permit to approximate efficiently two distributions on Sn as well as their degree of dissimilarity, while describing global properties in an interpretable fashion. Following in the footsteps of recent advances in automatic feature selection in the context of unsupervised learning, we propose to cast the task of clustering rankings in terms of optimization of a criterion that can be expressed in the Fourier domain in a simple manner. The effectiveness of the method proposed is illustrated by numerical experiments based on artificial and real data." @default.
- W11233167 created "2016-06-24" @default.
- W11233167 creator A5007306218 @default.
- W11233167 creator A5050223419 @default.
- W11233167 creator A5088738795 @default.
- W11233167 date "2011-01-01" @default.
- W11233167 modified "2023-10-18" @default.
- W11233167 title "Clustering Rankings in the Fourier Domain" @default.
- W11233167 cites W1553710357 @default.
- W11233167 cites W1572771201 @default.
- W11233167 cites W1991593950 @default.
- W11233167 cites W2026411617 @default.
- W11233167 cites W2048178552 @default.
- W11233167 cites W2061622328 @default.
- W11233167 cites W2063445365 @default.
- W11233167 cites W2071949631 @default.
- W11233167 cites W2094909687 @default.
- W11233167 cites W2102705755 @default.
- W11233167 cites W2125455772 @default.
- W11233167 cites W2166680439 @default.
- W11233167 cites W2495505314 @default.
- W11233167 cites W2787894218 @default.
- W11233167 doi "https://doi.org/10.1007/978-3-642-23780-5_32" @default.
- W11233167 hasPublicationYear "2011" @default.
- W11233167 type Work @default.
- W11233167 sameAs 11233167 @default.
- W11233167 citedByCount "3" @default.
- W11233167 countsByYear W112331672015 @default.
- W11233167 countsByYear W112331672020 @default.
- W11233167 crossrefType "book-chapter" @default.
- W11233167 hasAuthorship W11233167A5007306218 @default.
- W11233167 hasAuthorship W11233167A5050223419 @default.
- W11233167 hasAuthorship W11233167A5088738795 @default.
- W11233167 hasBestOaLocation W112331672 @default.
- W11233167 hasConcept C102519508 @default.
- W11233167 hasConcept C134306372 @default.
- W11233167 hasConcept C154945302 @default.
- W11233167 hasConcept C3019555358 @default.
- W11233167 hasConcept C33923547 @default.
- W11233167 hasConcept C36503486 @default.
- W11233167 hasConcept C41008148 @default.
- W11233167 hasConcept C73555534 @default.
- W11233167 hasConceptScore W11233167C102519508 @default.
- W11233167 hasConceptScore W11233167C134306372 @default.
- W11233167 hasConceptScore W11233167C154945302 @default.
- W11233167 hasConceptScore W11233167C3019555358 @default.
- W11233167 hasConceptScore W11233167C33923547 @default.
- W11233167 hasConceptScore W11233167C36503486 @default.
- W11233167 hasConceptScore W11233167C41008148 @default.
- W11233167 hasConceptScore W11233167C73555534 @default.
- W11233167 hasLocation W112331671 @default.
- W11233167 hasLocation W112331672 @default.
- W11233167 hasLocation W112331673 @default.
- W11233167 hasOpenAccess W11233167 @default.
- W11233167 hasPrimaryLocation W112331671 @default.
- W11233167 hasRelatedWork W1548064913 @default.
- W11233167 hasRelatedWork W1980766430 @default.
- W11233167 hasRelatedWork W2053880394 @default.
- W11233167 hasRelatedWork W2082058201 @default.
- W11233167 hasRelatedWork W2092568667 @default.
- W11233167 hasRelatedWork W2126462611 @default.
- W11233167 hasRelatedWork W2154006453 @default.
- W11233167 hasRelatedWork W3141701162 @default.
- W11233167 hasRelatedWork W4285277379 @default.
- W11233167 hasRelatedWork W4287896637 @default.
- W11233167 isParatext "false" @default.
- W11233167 isRetracted "false" @default.
- W11233167 magId "11233167" @default.
- W11233167 workType "book-chapter" @default.