A vanilla Rao--Blackwellization of Metropolis--Hastings algorithms [PDF]
Casella and Robert [Biometrika 83 (1996) 81--94] presented a general Rao--Blackwellization principle for accept-reject and Metropolis--Hastings schemes that leads to significant decreases in the variance of the resulting estimators, but at a high cost in
Douc, Randal, Robert, Christian P.
core +3 more sources
Universal twist in Equivariant K-theory for proper and discrete actions
We define equivariant projective unitary stable bundles as the appropriate twists when defining K-theory as sections of bundles with fibers the space of Fredholm operators over a Hilbert space. We construct universal equivariant projective unitary stable
Barcenas, Noe +3 more
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The equation of state of a cell fluid model in the supercritical region [PDF]
The analytic method for deriving the equation of state of a cell fluid model in the region above the critical temperature ($T \geqslant T_\text{c}$) is elaborated using the renormalization group transformation in the collective variables set ...
Dobush, O. A. +2 more
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Logic for metric structures and the number of universal sofic and hyperlinear groups
Using the model theory of metric structures, I give an alternative proof of the following result by Thomas: If the Continuum Hypothesis fails then there are power of the continuum many universal sofic groups up to isomorphism.
Lupini, Martino
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The dilute A$_4$ model, the E$_7$ mass spectrum and the tricritical Ising model
The exact perturbation approach is used to derive the (seven) elementary correlation lengths and related mass gaps of the two-dimensional dilute A$_4$ lattice model in regime 2- from the Bethe ansatz solution.
Andrews +35 more
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In silico estimates of the free energy rates in growing tumor spheroids [PDF]
The physics of solid tumor growth can be considered at three distinct size scales: the tumor scale, the cell-extracellular matrix (ECM) scale and the sub-cellular scale. In this paper we consider the tumor scale in the interest of eventually developing a
Garikipati, K. +4 more
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Dimension reduction for systems with slow relaxation
We develop reduced, stochastic models for high dimensional, dissipative dynamical systems that relax very slowly to equilibrium and can encode long term memory.
A Amir +57 more
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DEVELOPMENT OF A MATHEMATICAL MODEL OF AUTOMATIC KNOWLEDGE EXTRACTION FOR A HYBRID QUESTION-ANSWER SYSTEM [PDF]
The paper proposes and implements, in the form of a mathematical model and software package, the concept of using value coefficients, for ranging answers in universal hybrid question-answer systems, which will improve the efficiency of their work.
Valchuk A. S.
doaj +1 more source
Asymptotic Learning Curve and Renormalizable Condition in Statistical Learning Theory
Bayes statistics and statistical physics have the common mathematical structure, where the log likelihood function corresponds to the random Hamiltonian. Recently, it was discovered that the asymptotic learning curves in Bayes estimation are subject to a
Bernstein I N +10 more
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Important Evaluation Model of University Mathematics Curriculum
Mathematics is the foundation of all subjects, and every great progress of human beings has the strong support of mathematics. Mathematics has shown an extremely important role in university education and the importance of mathematics is increasing. With the differentiation of objective environment, the personalization of individual disciplines, the ...
openaire +1 more source

