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In all but special circumstances, measurements of time-dependent processes reflect internal structures and correlations only indirectly. Building predictive models of such hidden information sources requires discovering, in some way, the…

概率论 · 数学 2009-11-10 Nihat Ay , James P. Crutchfield

Pseudo-variograms appear naturally in the context of multivariate Brown-Resnick processes, and are a useful tool for analysis and prediction of multivariate random fields. We give a necessary and sufficient criterion for a matrix-valued…

统计理论 · 数学 2021-12-07 Christopher Dörr , Martin Schlather

Gaussian processes (GPs) are important probabilistic tools for inference and learning in spatio-temporal modelling problems such as those in climate science and epidemiology. However, existing GP approximations do not simultaneously support…

机器学习 · 计算机科学 2021-06-21 Will Tebbutt , Arno Solin , Richard E. Turner

Several machine learning problems arising in natural language processing can be modeled as a sequence labeling problem. We provide Gaussian process models based on pseudo-likelihood approximation to perform sequence labeling. Gaussian…

机器学习 · 计算机科学 2016-09-22 P. K. Srijith , P. Balamurugan , Shirish Shevade

In this paper, we propose new semiparametric procedures for making inference on linear functionals and their functions of two semicontinuous populations. The distribution of each population is usually characterized by a mixture of a…

统计方法学 · 统计学 2020-12-21 Meng Yuan , Chunlin Wang , Boxi Lin , Pengfei Li

For time series with high temporal correlation, the empirical process converges rather slowly to its limiting distribution. Many statistics in change-point analysis, goodness-of-fit testing and uncertainty quantification admit a…

统计理论 · 数学 2025-05-26 Annika Betken , Marie-Christine Düker

We consider the problem of approximating the reachability probabilities in Markov decision processes (MDP) with uncountable (continuous) state and action spaces. While there are algorithms that, for special classes of such MDP, provide a…

系统与控制 · 电气工程与系统科学 2022-07-13 Kush Grover , Jan Křetínský , Tobias Meggendorfer , Maximilian Weininger

The formal verification and controller synthesis for Markov decision processes that evolve over uncountable state spaces are computationally hard and thus generally rely on the use of approximations. In this work, we consider the…

系统与控制 · 计算机科学 2018-11-28 Sofie Haesaert , Sadegh Soudjani , Alessandro Abate

We study approximate equivalence relations up to commensurability, in the presence of a definable measure. As a basic framework, we give a presentation of probability logic based on continuous logic. Hoover's normal form is valid here; if…

逻辑 · 数学 2024-07-30 Ehud Hrushovski

In this paper, a modification of the conventional approximations to the quasi-maximum likelihood method is introduced for the parameter estimation of diffusion processes from discrete observations. This is based on a convergent…

最优化与控制 · 数学 2013-12-19 J. C. Jimenez

In this paper we analyze the use of subjective logic as a framework for performing approximate transformations over probability distribution functions. As for any approximation, we evaluate subjective logic in terms of computational…

统计计算 · 统计学 2019-01-04 Fabio Massimo Zennaro , Magdalena Ivanovska , Audun Jøsang

We propose a new approach that combines multiple non-parametric likelihood-type components to build a data-driven approximation of the true likelihood function. Our approach is built on empirical likelihood, a non-parametric approximation…

统计方法学 · 统计学 2017-12-15 Adam Jaeger , Nicole Lazar

In this paper we study strong and weak bisimulation equivalences for continuous-time Markov decision processes (CTMDPs) and the logical characterizations of these relations with respect to the continuous-time stochastic logic (CSL). For…

计算机科学中的逻辑 · 计算机科学 2013-11-19 Lei Song , Lijun Zhang , Jens Chr. Godskesen

For a sample of Exponentially distributed durations we aim at point estimation and a confidence interval for its parameter. A duration is only observed if it has ended within a certain time interval, determined by a Uniform distribution.…

统计方法学 · 统计学 2021-10-19 Rafael Weißbach , Dominik Wied

Behaviour distances to measure the resemblance of two states in a (nondeterministic) fuzzy transition system have been proposed recently in the literature. Such a distance, defined as a pseudo-ultrametric over the state space of the model,…

计算机科学中的逻辑 · 计算机科学 2017-01-25 Taolue Chen , Tingting Han , Yongzhi Cao

Probabilistic applicative bisimulation is a recently introduced coinductive methodology for program equivalence in a probabilistic, higher-order, setting. In this paper, the technique is applied to a typed, call-by-value, lambda-calculus.…

计算机科学中的逻辑 · 计算机科学 2014-01-30 Raphaelle Crubille , Ugo Dal Lago

Full formal descriptions of algorithms making use of quantum principles must take into account both quantum and classical computing components and assemble them so that they communicate and cooperate.Moreover, to model concurrent and…

量子物理 · 物理学 2007-05-23 Marie Lalire

In contrast to the usual understanding of probabilistic systems as stochastic processes, recently these systems have also been regarded as transformers of probabilities. In this paper, we give a natural definition of strong bisimulation for…

计算机科学中的逻辑 · 计算机科学 2014-05-12 Holger Hermanns , Jan Krčál , Jan Křetínský

Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

机器学习 · 计算机科学 2012-07-03 Qiang Liu , Alexander Ihler

We study parametric inference for diffusion processes when observations occur nonsynchronously and are contaminated by market microstructure noise. We construct a quasi-likelihood function and study asymptotic mixed normality of…

统计理论 · 数学 2015-12-29 Teppei Ogihara