Delaunay Potts models with infinite range 32
Phase transitions and the random cluster representation for Delaunay Potts models with geometry dependent interactions
... of models where the background interac- tion is strictly positive for all long-range ...key models we analyse for such geometry-dependence in the background ...These models are similar to ...
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On Delaunay random cluster models
... our models, the primary focus of this thesis is that of continuum ...of Delaunay random cluster represen- tations, we also happen to show the non-uniqueness of Gibbs measures, and essentially, a phase ...
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The ice and Potts models in statistical mechanics
... The results obtained by this method are consistent with previous work as well as providing new estimates for intermediate values of q. In addition to these results the method also poses some questions of its own. Not the ...
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Delaunay Deformable Models: Topology-Adaptive Meshes Based on the Restricted Delaunay Triangulation
... McInerney and Terzopoulos [30, 31] propose topology adaptive deformable curves and meshes, called T-snakes and T-surfaces. During the evolution, the model is periodi- cally resampled by computing its intersections with a ...
9
Equivalent-neighbor Potts models in two dimensions
... the Potts coupling to maintain criticality, a threshold occurs where the model becomes ...neighbor Potts models are sufficiently analogous for q > 2, then this scenario, ...a range of critical ...
9
Exponential Dynamical Anderson Localization in N particle Models on Graphs with Infinite range Interaction
... In particular, in the situation where the interaction poten- tial decays slower than exponentially, the existing techniques (based on the MPFMM or the MPMSA) allow one to prove only a sub-exponential decay of the EFCs; ...
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The phase transitions of the planar random-cluster and Potts models with q 1 are sharp
... Observe that these steps combine together to give the proof of the theorem. Indeed suppose ˜ p c < p c and take p ˜ c < p 0 < p 1 < p 2 < p c . By steps 1 and 2, the probabilities under φ 0 p 0 ,q of crossing in the hard ...
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Proteome coverage prediction with infinite Markov models
... the range covered by the test dataset ...explicitly models true and false positive samples, we could exclusively monitor the series of true positive peptide ...the range of the test set even ...
8
Parametric estimation of pairwise Gibbs point processes with infinite range interaction
... The remainder of this paper is organized as follows. In Section 2 we recall some basic facts about Gibbs point processes and we explain how to generalize inference methods for Gibbs models with infinite ...
36
Parametric estimation of pairwise Gibbs point processes with infinite range interaction
... finite range interaction, consistency and asymptotic normality of the pseudolikelihood and logistic regression estimators are established in Jensen and Møller (1991); Jensen and Künsch (1994); Billiot et ...Gibbs ...
36
Computing the Cramer-Rao bound of Markov random field parameters: Application to the Ising and the Potts models
... 3-state Potts MRF with the variance of the ML estimates ob- tained with the state-of-the art ...the range of interest for this model (for all the field components have almost surely the same ...
6
Infinite series of extreme Delaunay polytopes
... asymmetric Delaunay polytope P of dimension n, I construct explicitly, in Section 3 , an extreme symmetric Delaunay polytope of dimension n + 1 having P as a ...
15
Finite infinite range inequalities in the complex plane
... A major step in the proof of Theorem 3.3 is to prove the following Nikolskii-type inequalities which are interesting in their own right..I. a regular point for the Dirichlet problem.[r] ...
14
Sonia Delaunay Terk, Robert Delaunay,
... In Paris, Sonia saw the work of Van Gogh, Gauguin and the Fauves. Many years later she wrote of what she learned from them… “The real new painting will begin when people understand that color has a life of its own, that ...
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Perturbations for Delaunay and weighted Delaunay 3D triangulations
... the Delaunay triangulation of a set of 3D points ...a Delaunay triangulation is not defined uniquely for degenerate sets of points allow the algorithm to choose between different weakly Delaunay ...
9
Infinite matter properties and zero-range limit of non-relativistic finite-range interactions
... EoS come from the partial waves S , P, D, F [34] which are naturally included into the N3LO pseudo-potential. The article is organized as follows: after recalling for completeness in Sect. 2 the main char- acteristics of ...
31
An Algorithm of Combining Delaunay TIN Models and Region Growing for Buildings Extraction
... combining Delaunay TIN models and region growing is proposed for more efficient building ...First, Delaunay TIN models were built on raw LiDAR points to get connection of discrete ...
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Particle Gibbs for Infinite Hidden Markov Models
... As observed in Figure 4, we see that the PG sampler applied to the iHMM and sticky iHMM, converges far more quickly from both “small” and “large” initialization of K = 3 and K = 30 “active” states to the true value of K ...
9
Application of Infinite Relational Models to the FCA Visualization
... Kgs Lyngby, Denmark Email: {tuhe, mnsc, mmor}@dtu.dk Abstract—This work presents a conceptual framework for learning an ontological structure of domain knowledge, which combines Jaccard similarity coefficient with the ...
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Continuous-time infinite dynamic topic models
... topic models relied on analyzing how topics change over time by dividing the time covered by the documents into regions for analysis or by discretizing ...different models for documents in adjacent time ...
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