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Models and methods that are able to accurately and efficiently predict the flows of low-speed rarefied gases are in high demand, due to the increasing ability to manufacture devices at micro and nano scales. One such model and method is a…

计算物理 · 物理学 2016-09-21 Benjamin Collyer , Colm Connaughton , Duncan Lockerby

One of the main problems of importance sampling in Bayesian networks is representation of the importance function, which should ideally be as close as possible to the posterior joint distribution. Typically, we represent an importance…

人工智能 · 计算机科学 2012-07-09 Changhe Yuan , Marek J. Druzdzel

Optical tactile sensors are extensively utilized in intelligent robot manipulation due to their ability to acquire high-resolution tactile information at a lower cost. However, achieving adequate reality and versatility in simulating…

机器人学 · 计算机科学 2024-05-07 Zirong Shen , Yuhao Sun , Shixin Zhang , Zixi Chen , Heyi Sun , Fuchun Sun , Bin Fang

Compressive Sensing, as an emerging technique in signal processing is reviewed in this paper together with its common applications. As an alternative to the traditional signal sampling, Compressive Sensing allows a new acquisition strategy…

信息论 · 计算机科学 2017-05-16 Andjela Draganic , Irena Orovic , Srdjan Stankovic

In this paper, we propose an efficient importance sampling algorithm for rare event simulation under copula models. In the algorithm, the derived optimal probability measure is based on the criterion of minimizing the variance of the…

统计计算 · 统计学 2025-04-07 Siang Cheng , Cheng-Der Fuh , Tianxiao Pang

In this paper, I proof that Importance Sampling estimates based on dependent sample sets are consistent under certain conditions. This can be used to reduce variance in Bayesian Models with factorizing likelihoods, using sample sets that…

统计方法学 · 统计学 2015-03-03 Ingmar Schuster

A method for analyzing sampling jitter in audio equipment is proposed. The method is based on the time-domain analysis where the time fluctuations of zero-crossing points in recorded sinusoidal waves are employed to characterize jitter.…

声音 · 计算机科学 2023-05-09 Makoto Takeuchi , Haruo Saito

This study presents an importance sampling formulation based on adaptively relaxing parameters from the indicator function and/or the probability density function. The formulation embodies the prevalent mathematical concept of relaxing a…

应用统计 · 统计学 2024-04-11 Jianhua Xian , Ziqi Wang

The performance of the Monte Carlo sampling methods relies on the crucial choice of a proposal density. The notion of optimality is fundamental to design suitable adaptive procedures of the proposal density within Monte Carlo schemes. This…

统计计算 · 统计学 2026-02-24 Fernando Llorente , Luca Martino

Sampling is an important tool for estimating large, complex sums and integrals over high dimensional spaces. For instance, important sampling has been used as an alternative to exact methods for inference in belief networks. Ideally, we…

人工智能 · 计算机科学 2013-01-18 Luis E. Ortiz , Leslie Pack Kaelbling

We construct importance sampling schemes for stochastic differential equations with small noise and fast oscillating coefficients. Standard Monte Carlo methods perform poorly for these problems in the small noise limit. With multiscale…

概率论 · 数学 2012-02-03 Paul Dupuis , Konstantinos Spiliopoulos , Hui Wang

This paper introduces a new approach to patch-based image restoration based on external datasets and importance sampling. The Minimum Mean Squared Error (MMSE) estimate of the image patches, the computation of which requires solving a…

计算机视觉与模式识别 · 计算机科学 2019-09-04 Milad Niknejad , Jose M. Bioucas-Dias , Mario A. T. Figueiredo

Importance sampling is a popular method for efficient computation of various properties of a distribution such as probabilities, expectations, quantiles etc. The output of an importance sampling algorithm can be represented as a weighted…

概率论 · 数学 2016-04-18 Henrik Hult , Pierre Nyquist

Importance sampling is a central idea underlying off-policy prediction in reinforcement learning. It provides a strategy for re-weighting samples from a distribution to obtain unbiased estimates under another distribution. However,…

机器学习 · 计算机科学 2023-06-28 Kristopher De Asis , Eric Graves , Richard S. Sutton

Image processing has always been a topic of significant importance to society. Recently, this field has gained considerable prominence due to the development of intelligent systems. In this work, we present a new method of image processing…

数据分析、统计与概率 · 物理学 2024-12-25 Monalisa Cavalcante , José Araújo , José Holanda

We combine classical heuristics with partial shadow tomography to enable efficient protocols for extracting information from correlated ab initio electronic systems encoded on quantum devices. By proposing the use of a correlation energy…

This manuscript goes through the fundamental connections between statistical mechanics and estimation theory by focusing on the particular problem of compressive sensing. We first show that the asymptotic analysis of a sparse recovery…

信息论 · 计算机科学 2022-12-21 Ali Bereyhi , Ralf R. Müller , Hermann Schulz-Baldes

We examine the effect of different sources of technical noise on inverse weak value-based precision phase measurements. We find that this type of measurement is similarly robust to technical noise as related experiments in the weak value…

量子物理 · 物理学 2020-09-07 Kevin Lyons , John C. Howell , Andrew N. Jordan

The reliability of a complex industrial system can rarely be assessed analytically. As system failure is often a rare event, crude Monte-Carlo methods are prohibitively expensive from a computational point of view. In order to reduce…

统计计算 · 统计学 2019-06-03 H. Chraibi , A. Dutfoy , T. Galtier , J. Garnier

Efficient simulation of the timing jitter in passively mode-locking lasers is key to their numerical investigation and optimization. We introduce a method based on the pulse-period fluctuation auto-correlation function and compare it…

光学 · 物理学 2024-02-22 Stefan Meinecke , Kathy Lüdge