Weighted Graphs and Their Markov Generators
On Markov graphs
... Two graphs G 1 and G 2 are isomorphic if there exists adjacency pre- serving bijection between their vertex sets. Every such bijection is called an isomorphism. We write G 1 ≃ G 2 if G 1 and G 2 are isomorphic. ...
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Weighted dependency graphs
... 2018 Weighted dependency graphs Féray, Valentin Abstract: The theory of dependency graphs is a powerful toolbox to prove asymptotic normality of sums of random ...of weighted dependency ...
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Limits of weighted graphs
... and Weighted Convergence In Section ...-Schreier graphs {G n } ∞ n=1 the local convergence is equivalent to the weak convergence of measures µ G n on F d G ...unweighted graphs due to the fact that ...
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Analysis of Markov influence graphs
... decompose Markov influence graphs to uncover the true underlying network ...from Markov chain theory. Relying on classical Markov chain concepts, the KDA succeeds in uncov- ering the true ...
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Evolution on graphs is a Markov process.
... Evolution on circulations is equivalent to the Moran process. We now provide a necessary and sufficient condition for ρ-equivalence to the Moran process for the case of an arbitrary weighted digraph G. The ...
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Ramanujan Graphs Arising as Weighted Galois Covering Graphs
... as weighted covering graphs over the complete bipartite base graph with 4 vertices K 2,2 ...other weighted base graphs and prove a general theorem about weighted base graphs with ...
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Implementing Weighted Abduction in Markov Logic
... the weighted abduction weights u i and the Markov logic weights w i can be approximated by u i = ve −wi Z Costs on ...in weighted abduction are the costs associated with the conjuncts in the goal ...
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Spectral Clustering for Graphs and Markov Chains
... Example 7.3.1. Karate club network in an American university analyzed by Zachary [41]. This network consists of 34 members of a karate club. Zachary used a weighted graph to depict this network, and observed that ...
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Pairwise Markov properties for regression graphs
... University of Cambridge, Cambridge, UK Nanny Wermuth Chalmers University of Technology, Gothenburg, Sweden and Gutenberg-University, Mainz, Germany Abstract: With a sequence of regressions, one may generate joint ...
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Cutoff for random lifts of weighted graphs
... [1] Louigi Addario-Berry and Simon Griffiths. The spectrum of random lifts. arXiv e-prints, page arXiv:1012.4097, Dec 2010. [2] David Aldous. Random walks on finite groups and rapidly mixing markov chains. In ...
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An algebraic framework of weighted directed graphs
... a weighted directed graph and with introducing axioms of ...any weighted di- rected graphs an L-coalgebra called a Markov ...its weighted directed ...
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Watersheds on edge or node weighted graphs
... This leads to an approach where two scales are considered : for segmenting an image, the catchment basins of its gradient image are rst constructed at the pixel level ; the nal segmentation is then made at the level of ...
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Weighted dependency graphs and the Ising model
... a Markov random field, a variable interacts directly only with its ...a weighted dependency graph which is complete (because there is no reason to have unconditionally independent variables), but whose ...
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A sampling theory for infinite weighted graphs
... 3. SHANNON’S FORMULA In the early days of signal processing, Shannon introduced classes of band-limited functions, and proved that these functions admit interpolation from discrete sub-samples, for examples sampling ...
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Weighted DAG Automata for Semantic Graphs
... in weighted context-free grammars (Chi 1999), meaning that the corresponding probability distribution is not ...of weighted CFGs it can be estimated relatively easily with an iterative numerical algorithm ...
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Some Extremal Problems in Weighted Graphs
... in weighted graphs are introduced in this ...centered graphs are introduced and their properties are ...centered graphs using the max – max composition of the corresponding distance matrices ...
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Approximate shortest paths in weighted graphs
... which is almost cubic. This result improved earlier barely sub-cubic algorithms dating back to the first such algorithm by Fredman [6]. When edge weights are integers, we are no longer restricted to the ...
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Maximum Matching in Weighted Bipartite Graphs
... be considered as matched (corresponding with one another) only if their distance (location and angle) is in tolerance box under known transformation. Not only pairs but often overlapped groups of closely located minutiae ...
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Some Strong Connectivity Concepts in Weighted Graphs
... Apart from the above given basic definitions, there exists a few more concepts related to connectivity which play an important role in applications of weighted graphs. Next we present a few of them, which ...
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Random Spanning Trees and the Prediction of Weighted Graphs
... In the sequential version of this problem, nodes are presented in an arbitrary (possibly adversar- ial) order, and the learner must predict the binary label of each node before observing its true value. Since real-world ...
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