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In this paper we consider fully Bayesian inference in general state space models. Existing particle Markov chain Monte Carlo (MCMC) algorithms use an augmented model that takes into account all the variable sampled in a sequential Monte…

统计方法学 · 统计学 2014-07-31 Christopher K. Carter , Eduardo F. Mendes , Robert Kohn

The stochastic block model (SBM) is a flexible probabilistic tool that can be used to model interactions between clusters of nodes in a network. However, it does not account for interactions of time varying intensity between clusters. The…

机器学习 · 统计学 2017-07-11 Marco Corneli , Pierre Latouche , Fabrice Rossi

Sequential state estimation in non-linear and non-Gaussian state spaces has a wide range of applications in statistics and signal processing. One of the most effective non-linear filtering approaches, particle filtering, suffers from weight…

统计方法学 · 统计学 2019-05-01 Yunpeng Li , Soumyasundar Pal , Mark Coates

We present a new framework to derandomise certain Markov chain Monte Carlo (MCMC) algorithms. As in MCMC, we first reduce counting problems to sampling from a sequence of marginal distributions. For the latter task, we introduce a method…

数据结构与算法 · 计算机科学 2023-04-05 Weiming Feng , Heng Guo , Chunyang Wang , Jiaheng Wang , Yitong Yin

Uncertainty propagation of large scale discrete supply chains can be prohibitive when a large number of events occur during the simulated period and discrete event simulations (DES) are costly. We present a time bucket method to approximate…

统计计算 · 统计学 2019-01-17 Nai-Yuan Chiang , Yinqing Lin , Quan Long

In this paper, we propose a discretization scheme for the two-stage stochastic linear complementarity problem (LCP) where the underlying random data are continuously distributed. Under some moderate conditions, we derive qualitative and…

最优化与控制 · 数学 2017-06-22 Xiaojun Chen , Hailin Sun , Huifu Xu

Adaptive and interacting Markov chain Monte Carlo algorithms (MCMC) have been recently introduced in the literature. These novel simulation algorithms are designed to increase the simulation efficiency to sample complex distributions.…

统计理论 · 数学 2012-03-15 G. Fort , E. Moulines , P. Priouret

Hamiltonian Monte Carlo (HMC) is a powerful Markov chain Monte Carlo (MCMC) method for performing approximate inference in complex probabilistic models of continuous variables. In common with many MCMC methods, however, the standard HMC…

统计计算 · 统计学 2017-04-12 Matthew M. Graham , Amos J. Storkey

Software for computation of maximum likelihood estimates in linear structural equation models typically employs general techniques from non-linear optimization, such as quasi-Newton methods. In practice, careful tuning of initial values is…

统计计算 · 统计学 2016-10-12 Mathias Drton , Christopher Fox , Y. Samuel Wang

Markov chain Monte Carlo (MCMC) methods are foundational algorithms for Bayesian inference and probabilistic modeling. However, most MCMC algorithms are inherently sequential and their time complexity scales linearly with the sequence…

统计计算 · 统计学 2025-12-03 David M. Zoltowski , Skyler Wu , Xavier Gonzalez , Leo Kozachkov , Scott W. Linderman

Hamiltonian Monte Carlo (HMC) is a state-of-the-art Markov chain Monte Carlo sampling algorithm for drawing samples from smooth probability densities over continuous spaces. We study the variant most widely used in practice, Metropolized…

机器学习 · 统计学 2021-01-12 Yuansi Chen , Raaz Dwivedi , Martin J. Wainwright , Bin Yu

The use of the Bayesian tools in system identification and model updating paradigms has been increased in the last ten years. Usually, the Bayesian techniques can be implemented to incorporate the uncertainties associated with measurements…

计算工程、金融与科学 · 计算机科学 2017-10-27 M. Sherri , I. Boulkaibet , T. Marwala , M. I. Friswell

The numerical computation of equilibrium reward gradients for Markov chains appears in many applications for example within the policy improvement step arising in connection with average reward stochastic dynamic programming. When the state…

最优化与控制 · 数学 2025-01-14 Saied Mahdian , Peter W. Glynn

Block-coordinate algorithms are recognized to furnish efficient iterative schemes for addressing large-scale problems, especially when the computation of full derivatives entails substantial memory requirements and computational efforts. In…

最优化与控制 · 数学 2025-04-16 Pedro Pérez-Aros , David Torregrosa-Belén

This paper investigates two inexact Levenberg-Marquardt (LM) methods for solving systems of nonlinear equations. Both approaches compute approximate search directions by solving the LM linear system inexactly, subject to specific…

最优化与控制 · 数学 2025-07-23 Bas Symoens , Morteza Rahimi , Masoud Ahookhosh

Particle-based methods include a variety of techniques, such as Markov Chain Monte Carlo (MCMC) and Sequential Monte Carlo (SMC), for approximating a probabilistic target distribution with a set of weighted particles. In this paper, we…

机器学习 · 统计学 2024-12-03 Hadi Mohasel Afshar , Gilad Francis , Sally Cripps

Labelled Markov chains (LMCs) are widely used in probabilistic verification, speech recognition, computational biology, and many other fields. Checking two LMCs for equivalence is a classical problem subject to extensive studies, while the…

计算机科学中的逻辑 · 计算机科学 2014-05-16 Taolue Chen , Stefan Kiefer

The max-log-map (MLM) receiver is an approximated version of the well-known, Bahl-Cocke-Jelinek-Raviv (BCJR) algorithm. The MLM algorithm is attractive due to its implementation simplicity. In practice, sliding-window implementations are…

信息论 · 计算机科学 2013-04-12 Fabian Lim , Aleksandar Kavcic

In this paper, we propose an adaptive data-driven min-max model predictive control (MPC) scheme for discrete-time linear time-varying (LTV) systems. We assume that prior knowledge of the system dynamics and bounds on the variations are…

系统与控制 · 电气工程与系统科学 2026-03-09 Yifan Xie , Julian Berberich , Frank Allgöwer

Belief Propagation (BP) decoding of LDPC codes is extended to the case of Joint Source-Channel coding. The uncompressed source is treated as a Markov process, characterized by a transition matrix, T, which is utilized as side information…

无序系统与神经网络 · 物理学 2007-05-23 Haggai Kfir , Eyal Shpilman , Ido Kanter