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The widespread use of Markov Chain Monte Carlo (MCMC) methods for high-dimensional applications has motivated research into the scalability of these algorithms with respect to the dimension of the problem. Despite this, numerous problems…

统计计算 · 统计学 2024-10-21 Ardjen Pengel , Jun Yang , Zhou Zhou

Markov chain Monte Carlo (MCMC) sampling is an important and commonly used tool for the analysis of hierarchical models. Nevertheless, practitioners generally have two options for MCMC: utilize existing software that generates a black-box…

One of the most significant challenges in statistical signal processing and machine learning is how to obtain a generative model that can produce samples of large-scale data distribution, such as images and speeches. Generative Adversarial…

计算机视觉与模式识别 · 计算机科学 2020-05-28 Pegah Salehi , Abdolah Chalechale , Maryam Taghizadeh

In this paper we introduce an optimized Markov Chain Monte Carlo (MCMC) technique for solving the integer least-squares (ILS) problems, which include Maximum Likelihood (ML) detection in Multiple-Input Multiple-Output (MIMO) systems. Two…

Sequential Monte Carlo (SMC) methods are not only a popular tool in the analysis of state space models, but offer an alternative to MCMC in situations where Bayesian inference must proceed via simulation. This paper introduces a new SMC…

统计计算 · 统计学 2010-05-11 Paul Fearnhead , Benjamin M. Taylor

We explore the use of quantum generative adversarial networks QGANs for modeling eye movement velocity data. We assess whether the advanced computational capabilities of QGANs can enhance the modeling of complex stochastic distribution…

神经与进化计算 · 计算机科学 2024-12-09 Shailendra Bhandari , Pedro Lincastre , Pedro Lind

Adaptive importance sampling (AIS) methods provide a useful alternative to Markov Chain Monte Carlo (MCMC) algorithms for performing inference of intractable distributions. Population Monte Carlo (PMC) algorithms constitute a family of AIS…

统计方法学 · 统计学 2023-12-13 Soumyasundar Pal , Antonios Valkanas , Mark Coates

Generative adversarial networks (GANs) have shown remarkable success in generating realistic data from some predefined prior distribution (e.g., Gaussian noises). However, such prior distribution is often independent of real data and thus…

机器学习 · 计算机科学 2020-08-04 Jiezhang Cao , Yong Guo , Qingyao Wu , Chunhua Shen , Junzhou Huang , Mingkui Tan

Estimating Monte Carlo error is critical to valid simulation results in Markov chain Monte Carlo (MCMC) and initial sequence estimators were one of the first methods introduced for this. Over the last few years, focus has been on…

统计计算 · 统计学 2025-07-08 Arka Banerjee , Dootika Vats

Markov chain Monte Carlo (MCMC) is a sampling-based method for estimating features of probability distributions. MCMC methods produce a serially correlated, yet representative, sample from the desired distribution. As such it can be…

统计计算 · 统计学 2019-12-10 Dootika Vats , Nathan Robertson , James M Flegal , Galin L Jones

We propose a new framework for how to use sequential Monte Carlo (SMC) algorithms for inference in probabilistic graphical models (PGM). Via a sequential decomposition of the PGM we find a sequence of auxiliary distributions defined on a…

统计方法学 · 统计学 2014-10-07 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön

Sampling from complicated probability distributions is a hard computational problem arising in many fields, including statistical physics, optimization, and machine learning. Quantum computers have recently been used to sample from…

This study introduces a computationally efficient algorithm, delayed acceptance Markov chain Monte Carlo (DA-MCMC), designed to improve posterior simulation in quasi-Bayesian inference. Quasi-Bayesian methods, which do not require fully…

统计计算 · 统计学 2026-02-16 Masahiro Tanaka

Monte Carlo (MC) sampling methods are widely applied in Bayesian inference, system simulation and optimization problems. The Markov Chain Monte Carlo (MCMC) algorithms are a well-known class of MC methods which generate a Markov chain with…

统计方法学 · 统计学 2024-06-21 Luca Martino , Victor Elvira

The resolution of many large-scale inverse problems using MCMC methods requires a step of drawing samples from a high dimensional Gaussian distribution. While direct Gaussian sampling techniques, such as those based on Cholesky…

统计方法学 · 统计学 2015-06-22 Clément Gilavert , Saïd Moussaoui , Jérôme Idier

Segmenting images of low quality or with missing data is a challenging problem. Integrating statistical prior information about the shapes to be segmented can improve the segmentation results significantly. Most shape-based segmentation…

计算机视觉与模式识别 · 计算机科学 2016-11-14 Ertunc Erdil , Sinan Yıldırım , Müjdat Çetin , Tolga Taşdizen

This work discusses the implementation of Markov Chain Monte Carlo (MCMC) sampling from an arbitrary Gaussian mixture model (GMM) within SRAM. We show a novel architecture of SRAM by embedding it with random number generators (RNGs),…

信号处理 · 电气工程与系统科学 2020-03-06 Priyesh Shukla , Ahish Shylendra , Theja Tulabandhula , Amit Ranjan Trivedi

Accept-reject based Markov chain Monte Carlo (MCMC) methods are the workhorse algorithm for Bayesian inference. These algorithms, like Metropolis-Hastings, require choosing a proposal distribution which is typically informed by the desired…

统计计算 · 统计学 2026-04-21 Dwija Kakkad , Dootika Vats

Markov Chain Monte Carlo (MCMC) requires to evaluate the full data likelihood at different parameter values iteratively and is often computationally infeasible for large data sets. In this paper, we propose to approximate the log-likelihood…

统计方法学 · 统计学 2020-05-26 Guanyu Hu , HaiYing Wang

Mobile Crowdsensing systems are vulnerable to various attacks as they build on non-dedicated and ubiquitous properties. Machine learning (ML)-based approaches are widely investigated to build attack detection systems and ensure MCS systems…

密码学与安全 · 计算机科学 2022-02-17 Zhiyan Chen , Burak Kantarci