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Approximate Bayesian Computation (ABC) is a useful class of methods for Bayesian inference when the likelihood function is computationally intractable. In practice, the basic ABC algorithm may be inefficient in the presence of discrepancy…

统计理论 · 数学 2015-05-14 Stefano Cabras , Maria Eugenia Castellanos Nueda , Erlis Ruli

With the previous notions of bisimulation presented in literature, to check if two quantum processes are bisimilar, we have to instantiate the free quantum variables of them with arbitrary quantum states, and verify the bisimilarity of…

计算机科学中的逻辑 · 计算机科学 2012-02-22 Yuan Feng , Yuxin Deng , Mingsheng Ying

In previous work cite{Ha98:Towards} we presented a case-based approach to eliciting and reasoning with preferences. A key issue in this approach is the definition of similarity between user preferences. We introduced the probabilistic…

人工智能 · 计算机科学 2013-01-14 Vu A. Ha , Peter Haddawy , John Miyamoto

In this paper we extend the predicate logic introduced in [Beauquier et al. 2002] in order to deal with Semi-Markov Processes. We prove that with respect to qualitative probabilistic properties, model checking is decidable for this logic…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Ruggero Lanotte , Daniele Beauquier

Ergodic properties and asymptotic stationarity are investigated in this paper for the pseudo-covariance matrix (PCM) of a recursive state estimator which is robust against parametric uncertainties and is based on plant output measurements…

系统与控制 · 计算机科学 2016-10-12 Tong Zhou

For rare events described in terms of Markov processes, truly unbiased estimation of the rare event probability generally requires the avoidance of numerical approximations of the Markov process. Recent work in the exact and…

统计理论 · 数学 2021-11-08 James Hodgson , Adam M. Johansen , Murray Pollock

Pseudoprocesses, constructed by means of the solutions of higher-order heat-type equations have been developed by several authors and many related functionals have been analyzed by means of the Feynman-Kac functional or by means of the…

概率论 · 数学 2013-04-30 Enzo Orsingher , Bruno Toaldo

We consider Hidden Markov Models that emit sequences of observations that are drawn from continuous distributions. For example, such a model may emit a sequence of numbers, each of which is drawn from a uniform distribution, but the support…

计算机科学中的逻辑 · 计算机科学 2020-09-29 Oscar Darwin , Stefan Kiefer

This paper is devoted to parameter estimation for partially observed polynomial state space models. This class includes discretely observed affine or more generally polynomial Markov processes. The polynomial structure allows for the…

统计理论 · 数学 2025-07-11 Jan Kallsen , Ivo Richert

Pseudo-marginal Metropolis-Hastings (pmMH) is a versatile algorithm for sampling from target distributions which are not easy to evaluate point-wise. However, pmMH requires good proposal distributions to sample efficiently from the target,…

统计计算 · 统计学 2018-07-30 Johan Dahlin , Adrian Wills , Brett Ninness

When two Markov operators commute, it suggests that we can couple two copies of one of the corresponding processes. We explicitly construct a number of couplings of this type for a commuting family of Markov processes on the set of…

概率论 · 数学 2008-11-20 Anthony P. Metcalfe , Neil O'Connell , Jon Warren

Theoretical concepts in condensed matter physics are typically verified and also developed by exploiting computer simulations mostly in simple models. Predictions based on these usually isotropic models are often at odds with measurement…

软凝聚态物质 · 物理学 2020-11-13 K. Koperwas , A. Grzybowski , M. Paluch

In this paper we give general criteria on tightness and weak convergence of discrete Markov chains to symmetric jump processes on metric measure spaces under mild conditions. As an application, we investigate discrete approximation for a…

概率论 · 数学 2010-09-01 Zhen-Qing Chen , Panki Kim , Takashi Kumagai

The aim of this paper is to approximate a finite-state Markov process by another process with fewer states, called herein the approximating process. The approximation problem is formulated using two different methods. The first method,…

The (conditional or unconditional) distribution of the continuous scan statistic in a one-dimensional Poisson process may be approximated by that of a discrete analogue via time discretization (to be referred to as the discrete…

概率论 · 数学 2016-02-09 Yi-Ching Yao , Daniel Wei-Chung Miao , Xenos Chang-Shuo Lin

We introduce a framework for quasi-Newton forward--backward splitting algorithms (proximal quasi-Newton methods) with a metric induced by diagonal $\pm$ rank-$r$ symmetric positive definite matrices. This special type of metric allows for a…

最优化与控制 · 数学 2018-11-27 Stephen Becker , Jalal Fadili , Peter Ochs

The pseudo-marginal algorithm is a popular variant of the Metropolis--Hastings scheme which allows us to sample asymptotically from a target probability density $\pi$, when we are only able to estimate an unnormalized version of $\pi$…

统计计算 · 统计学 2017-07-20 George Deligiannidis , Arnaud Doucet , Michael K. Pitt

For discrete-time stochastic processes, there is a close connection between return/waiting times and entropy. Such a connection cannot be straightforwardly extended to the continuous-time setting. Contrarily to the discrete-time case one…

概率论 · 数学 2007-05-23 Jean-Rene Chazottes , Cristian Giardina , Frank Redig

Coinductive reasoning about infinitary structures such as streams is widely applicable. However, practical frameworks for developing coinductive proofs and finding reasoning principles that help structure such proofs remain a challenge,…

编程语言 · 计算机科学 2020-01-13 Yannick Zakowski , Paul He , Chung-Kil Hur , Steve Zdancewic

The purpose of this paper is to study the convergence of the quasi-maximum likelihood (QML) estimator for long memory linear processes. We first establish a correspondence between the long-memory linear process representation and the…

统计理论 · 数学 2024-05-24 Jean-Marc Bardet , Yves Gael Tchabo Mbienkeu