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The sequential importance sampling (SIS) algorithm has gained considerable popularity for its empirical success. One of its noted applications is to the binary contingency tables problem, an important problem in statistics, where the goal…

Statistics Theory · Mathematics 2011-06-29 Ivona Bezakova , Alistair Sinclair , Daniel Stefankovic , Eric Vigoda

When an interval of integers between the lower bound $l_i$ and the upper bound $u_i$ is the support of the marginal distribution $n_i|(n_{i-1}, ...,n_1)$, Chen et al, 2005 noticed that sampling from the interval at each step, for $n_i$…

Combinatorics · Mathematics 2018-01-19 Ruriko Yoshida , Jing Xi , Shaoceng Wei , Feng Zhou , David Haws

When an interval of integers between the lower bound l_i and the upper bounds u_i is the support of the marginal distribution n_i|(n_{i-1}, ...,n_1), Chen et al. 2005 noticed that sampling from the interval at each step, for n_i during the…

Statistics Theory · Mathematics 2015-03-19 Jing Xi , Shaoceng Wei , Feng Zhou , Ruriko Yoshida , David Haws

We describe an algorithm for the sequential sampling of entries in multiway contingency tables with given constraints. The algorithm can be used for computations in exact conditional inference. To justify the algorithm, a theory relates…

Statistics Theory · Mathematics 2007-06-13 Yuguo Chen , Ian H. Dinwoodie , Seth Sullivant

In 2005, Chen et al introduced a sequential importance sampling (SIS) procedure to analyze zero-one two-way tables with given fixed marginal sums (row and column sums) via the conditional Poisson (CP) distribution. They showed that compared…

Statistics Theory · Mathematics 2011-11-29 Jing Xi , Ruriko Yoshida , David Haws

Importance sampling has been reported to produce algorithms with excellent empirical performance in counting problems. However, the theoretical support for its efficiency in these applications has been very limited. In this paper, we…

Probability · Mathematics 2009-08-10 Jose H. Blanchet

Importance sampling (IS) is a technique that enables statistical estimation of output performance at multiple input distributions from a single nominal input distribution. IS is commonly used in Monte Carlo simulation for variance reduction…

Methodology · Statistics 2025-05-07 Yijuan Liang , Guangxin Jiang , Michael C. Fu

Sequential importance sampling algorithms have been defined to estimate likelihoods in models of ancestral population processes. However, these algorithms are based on features of the models with constant population size, and become…

Statistics Theory · Mathematics 2016-03-24 Coralie Merle , Raphaël Leblois , François Rousset , Pierre Pudlo

Importance sampling (IS) is a Monte Carlo technique for the approximation of intractable distributions and integrals with respect to them. The origin of IS dates from the early 1950s. In the last decades, the rise of the Bayesian paradigm…

Computation · Statistics 2024-06-21 Víctor Elvira , Luca Martino

Monitoring the performance of classification models in production is critical yet challenging due to strict labeling budgets, one-shot batch acquisition of labels and extremely low error rates. We propose a general framework based on…

Machine Learning · Computer Science 2026-02-02 Lupo Marsigli , Angel Lopez de Haro

In this paper, we develop a new sequential regression modeling approach for data streams. Data streams are commonly found around us, e.g in a retail enterprise sales data is continuously collected every day. A demand forecasting model is an…

Machine Learning · Statistics 2017-01-11 Chitta Ranjan , Samaneh Ebrahimi , Kamran Paynabar

In this paper, we consider the problem of numerical investigation of the counting statistics for a class of one-dimensional systems. Importance sampling, the cornerstone technique usually implemented for such problems, critically hinges on…

Statistical Mechanics · Physics 2024-08-12 Ivan N. Burenev , Satya N. Majumdar , Alberto Rosso

The efficient importance sampling (EIS) method is a general principle for the numerical evaluation of high-dimensional integrals that uses the sequential structure of target integrands to build variance minimising importance samplers.…

Computation · Statistics 2013-09-27 Marcel Scharth , Robert Kohn

A sequential importance sampling algorithm is developed for the distribution that results when a matrix of independent, but not identically distributed, Bernoulli random variables is conditioned on a given sequence of row and column sums.…

Computation · Statistics 2013-01-18 Matthew T. Harrison , Jeffrey W. Miller

Importance Sampling (IS) is a method for approximating expectations under a target distribution using independent samples from a proposal distribution and the associated importance weights. In many applications, the target distribution is…

Machine Learning · Statistics 2022-09-14 Gabriel Cardoso , Sergey Samsonov , Achille Thin , Eric Moulines , Jimmy Olsson

Importance sampling (IS) is a Monte Carlo technique that relies on weighted samples, simulated from a proposal distribution, to estimate intractable integrals. The quality of the estimators improves with the number of samples. However, for…

Computation · Statistics 2022-07-18 Medha Agarwal , Dootika Vats , Víctor Elvira

This paper introduces a sequential multiple importance sampling (SeMIS) algorithm for high-dimensional Bayesian inference. The method estimates Bayesian evidence using all generated samples from each proposal distribution while obtaining…

Methodology · Statistics 2025-07-08 Li Binbin , He Xiao , Liao Zihan

We consider Bayesian inference by importance sampling when the likelihood is analytically intractable but can be unbiasedly estimated. We refer to this procedure as importance sampling squared (IS2), as we can often estimate the likelihood…

Methodology · Statistics 2016-07-26 Minh-Ngoc Tran , Marcel Scharth , Michael K. Pitt , Robert Kohn

An essential problem in statistics and machine learning is the estimation of expectations involving PDFs with intractable normalizing constants. The self-normalized importance sampling (SNIS) estimator, which normalizes the IS weights, has…

Computation · Statistics 2024-07-01 Nicola Branchini , Víctor Elvira

Importance Sampling (IS) is a widely used variance reduction technique for enhancing the efficiency of Monte Carlo methods, particularly in rare-event simulation and related applications. Despite its effectiveness, the performance of IS is…

Optimization and Control · Mathematics 2026-02-11 Liviu Aolaritei , Bart P. G. Van Parys , Henry Lam , Michael I. Jordan
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