Consiglio Nazionale delle Ricerche

Tipo di prodottoArticolo in rivista
TitoloHilbert exclusion: improved metric search through finite isometric embeddings
Anno di pubblicazione2017
  • Elettronico
  • Cartaceo
Autore/iConnor R.; Cardillo F. A.; Vadicamo L.; Rabitti F.
Affiliazioni autoriUniversity of Strathclyde, UK; CNR-ILC, Pisa, Italy; CNR-ISTI, Pisa, Italy; CNR-ISTI, Pisa, Italy
Autori CNR e affiliazioni
  • inglese
AbstractMost research into similarity search in metric spaces relies on the triangle inequality property. This property allows the space to be arranged according to relative distances to avoid searching some subspaces. We show that many common metric spaces, notably including those using Euclidean and Jensen-Shannon distances, also have a stronger property, sometimes called the four-point property: In essence, these spaces allow an isometric embedding of any four points in three-dimensional Euclidean space, as well as any three points in two-dimensional Euclidean space. In fact, we show that any space that is isometrically embeddable in Hilbert space has the stronger property. This property gives stronger geometric guarantees, and one in particular, which we name the Hilbert Exclusion property, allows any indexing mechanism which uses hyperplane partitioning to perform better. One outcome of this observation is that a number of state-of-the-art indexing mechanisms over high-dimensional spaces can be easily refined to give a significant increase in performance; furthermore, the improvement given is greater in higher dimensions. This therefore leads to a significant improvement in the cost of metric search in these spaces.
Lingua abstractinglese
Altro abstract-
Lingua altro abstract-
Pagine da17
Pagine a27
Pagine totali-
RivistaACM transactions on information systems
Attiva dal 1989
Editore: Association for Computing Machinery, - New York, NY
Paese di pubblicazione: Stati Uniti d'America
Lingua: inglese
ISSN: 1046-8188
Titolo chiave: ACM transactions on information systems
Titolo proprio: ACM transactions on information systems
Titolo abbreviato: ACM trans. inf. sys.
Titoli alternativi:
  • Transactions on information systems
  • Association for Computing Machinery transactions on information systems
  • TOIS
Numero volume della rivista35
Fascicolo della rivista3
Verificato da refereeSì: Internazionale
Stato della pubblicazionePublished version
Indicizzazione (in banche dati controllate)
  • ISI Web of Science (WOS) (Codice:000395475200002)
  • Scopus (Codice:2-s2.0-85008222749)
Parole chiaveSimilarity search, Metric space, Metric indexing, Four-point property, Hilbert embedding, H. Information systems. Data structures, H. Information systems. Multidimensional range search, H. Information systems. Proximity search, H. Information systems. Database query processing, H. Information systems. Retrieval models and ranking, Information systems. Retrieval efficiency, H. Information systems. Multimedia information systems, F. Theory of computation. Random projections and metric embeddings
Link (URL, URI)
Titolo parallelo-
Data di accettazione-
Note/Altre informazioni-
Strutture CNR
  • ILC — Istituto di linguistica computazionale "Antonio Zampolli"
  • ISTI — Istituto di scienza e tecnologie dell'informazione "Alessandro Faedo"
Moduli CNR
    Progetti Europei-
    • Hilbert exclusion: improved metric search through finite isometric embeddings
      Descrizione: Codice Puma: cnr.isti/2017-A0-048