Are nonmetric additive-tree representations of numerical proximity data meaningful?

1983 ◽  
Vol 17 (6) ◽  
pp. 475-478 ◽  
Author(s):  
Geert De Soete
Keyword(s):  
Proximity Data ◽  
Additive Tree ◽  
Tree Representations

Least squares algorithms for constructing constrained ultrametric and additive tree representations of symmetric proximity data

1987 ◽  
Vol 4 (2) ◽  
pp. 155-173 ◽  
Author(s):  
Geert De Soete ◽  
J. Douglas Carroll ◽  
Wayne S. DeSarbo
Keyword(s):  
Least Squares ◽  
Proximity Data ◽  
Additive Tree ◽  
Tree Representations

Modelling dissimilarity: Generalizing ultrametric and additive tree representations

2001 ◽  
Vol 54 (1) ◽  
pp. 103-123 ◽  
Author(s):  
Lawrence Hubert ◽  
Phipps Arabie ◽  
Jacqueline Meulman
Keyword(s):  
Additive Tree ◽  
Tree Representations

Spatial versus tree representations of proximity data

Psychometrika ◽  
1982 ◽  
Vol 47 (1) ◽  
pp. 3-24 ◽  
Author(s):  
Sandra Pruzansky ◽  
Amos Tversky ◽  
J. Douglas Carroll
Keyword(s):  
Proximity Data ◽  
Tree Representations

Additive-tree representations of incomplete dissimilarity data

1984 ◽  
Vol 18 (4) ◽  
pp. 387-393 ◽  
Author(s):  
Geert De Soete
Keyword(s):  
Dissimilarity Data ◽  
Additive Tree ◽  
Tree Representations

Compressed Tree Representations

2016 ◽  
pp. 397-401
Author(s):  
Gonzalo Navarro ◽  
Kunihiko Sadakane
Keyword(s):  
Tree Representations

scholarly journals Isomorphisms between determinantal point processes with translation-invariant kernels and Poisson point processes

2020 ◽  
pp. 1-14
Author(s):  
SHOTA OSADA
Keyword(s):  
Point Processes ◽  
Duke Math ◽  
Random Point ◽  
Determinantal Point Processes ◽  
Fredholm Determinants ◽  
Poisson Point Processes ◽  
Translation Invariant ◽  
Ergodic Properties ◽  
Tree Representations ◽  
Invariant Kernels

Abstract We prove the Bernoulli property for determinantal point processes on $ \mathbb{R}^d $ with translation-invariant kernels. For the determinantal point processes on $ \mathbb{Z}^d $ with translation-invariant kernels, the Bernoulli property was proved by Lyons and Steif [Stationary determinantal processes: phase multiplicity, bernoullicity, and domination. Duke Math. J.120 (2003), 515–575] and Shirai and Takahashi [Random point fields associated with certain Fredholm determinants II: fermion shifts and their ergodic properties. Ann. Probab.31 (2003), 1533–1564]. We prove its continuum version. For this purpose, we also prove the Bernoulli property for the tree representations of the determinantal point processes.

Sign in / Sign up

Export Citation Format

Share Document