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PAC-Bayes Bounds on Variational Tempered Posteriors for Markov Models
Datasets displaying temporal dependencies abound in science and engineering applications, with Markov models representing a simplified and popular view of the temporal dependence structure.
Imon Banerjee +2 more
doaj +1 more source
Construction and heat kernel estimates of general stable-like Markov processes [PDF]
A stable-like process is a Feller process $(X_t)_{t\geq 0}$ taking values in $\mathbb{R}^d$ and whose generator behaves, locally, like an $\alpha$-stable Levy process, but the index $\alpha$ and all other characteristics may depend on the state space ...
V. Knopova, A. Kulik, R. Schilling
semanticscholar +1 more source
Martin Kernels for Markov Processes with Jumps [PDF]
20 ...
Kwaśnicki, Mateusz, Juszczyszyn, Tomasz
openaire +2 more sources
Heat kernel upper bounds for symmetric Markov semigroups [PDF]
It is well known that Nash-type inequalities for symmetric Dirichlet forms are equivalent to on-diagonal heat kernel upper bounds for the associated symmetric Markov semigroups.
Zhen-Qing Chen +3 more
semanticscholar +1 more source
Fuzzy Observables: from Weak Markov Kernels to Markov Kernels
AbstractWe provide a proof based on transfinite induction that every weak Markov kernel is equivalent to a Markov kernel. We only assume the space where the weak Markov kernel is defined to be second countable and metrizable. That generalizes some previous results where the kernel is required to be defined on a standard Borel space (which is second ...
openaire +2 more sources
A probabilistic model for fast-to-evaluate 2D crack path prediction in heterogeneous materials [PDF]
This paper is devoted to the construction of a new fast-to-evaluate model for the prediction of 2D crack paths in concrete-like microstructures. The model generates piecewise linear cracks paths with segmentation points selected using a Markov chain ...
Kathleen Pele +6 more
doaj +1 more source
This paper constructs a green development efficiency index framework of water-energy-food in China, and uses the Super-EBM model to measure it more accurately and scientifically.
Jinqiu Li, Dechun Huang
doaj +1 more source
CLTs and asymptotic variance of time-sampled Markov chains [PDF]
For a Markov transition kernel P and a probability distribution μ on nonnegative integers, a time-sampled Markov chain evolves according to the transition kernel Pμ = Σkμ(k)Pk.
A Barker +27 more
core +3 more sources
Noisy Monte Carlo: Convergence of Markov chains with approximate transition kernels [PDF]
Monte Carlo algorithms often aim to draw from a distribution $\pi$ by simulating a Markov chain with transition kernel $P$ such that $\pi$ is invariant under $P$.
A Caimo +31 more
core +2 more sources

