Results 31 to 40 of about 31,009 (261)
General Partitioning on Random Graphs [PDF]
Summary: Consider the General Partitioning (GP) problem defined as follows: Partition the vertices of a graph into \(k\) parts \(W_1,\dots, W_k\) satisfying a polynomial time verifiable property. In particular, consider properties specified by a pattern of requirements as to which \(W_i\) forms a sparse or dense subgraph and which pairs \(W_i\), \(W_j\)
Subramanian, CR, Madhavan, CEV
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Exploring chromatin hierarchical organization via Markov State Modelling.
We propose a new computational method for exploring chromatin structural organization based on Markov State Modelling of Hi-C data represented as an interaction network between genomic loci. A Markov process describes the random walk of a traveling probe
Zhen Wah Tan +2 more
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Stochastic Chaos and Markov Blankets
In this treatment of random dynamical systems, we consider the existence—and identification—of conditional independencies at nonequilibrium steady-state.
Karl Friston +4 more
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Partitioning Search Spaces of a Randomized Search [PDF]
This paper studies the following question: given an instance of the propositional satisfiability problem, a randomized satisfiability solver, and a cluster of n computers, what is the best way to use the computers to solve the instance? Two approaches, simple distribution and search space partitioning as well as their combinations are investigated both
Niemelä Ilkka +2 more
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AbstractLet S be a finite set with n labeled elements. One of the partitions of S is selected at random each of them has the same probability. Harper determined the expected number of subsets in the random partition. Haigh studied the probability that the random partition has (at least one) subset of a given size.
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Matrix models for random partitions [PDF]
We derive exact matrix integral representations for different sums over partitions. The characteristic feature of all obtained matrix models is the presence of logarithmic (or, vice versa, exponential) terms in the potential. Our derivation is based on the application of the higher Casimir operators.
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Cores of random r-partite hypergraphs [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fabiano C. Botelho +2 more
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Digital Polymerase Chain Reaction (dPCR) is a novel method for the absolute quantification of target nucleic acids. Quantification by dPCR hinges on the fact that the random distribution of molecules in many partitions follows a Poisson distribution ...
Phenix-Lan Quan +2 more
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Accessible and Deterministic Automata: Enumeration and Boltzmann Samplers [PDF]
We present a bijection between the set $\mathcal{A}_n$ of deterministic and accessible automata with $n$ states on a $k$-letters alphabet and some diagrams, which can themselves be represented as partitions of the set $[\![ 1..(kn+1) ]\!]$ into $n$ non ...
Frédérique Bassino, Cyril Nicaud
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The identification of community structure in graphs continues to attract great interest in several fields. Network neuroscience is particularly concerned with this problem considering the key roles communities play in brain processes and functionality ...
Lazaro M. Sanchez-Rodriguez +3 more
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