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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…

Computational Physics · Physics 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…

Artificial Intelligence · Computer Science 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…

Robotics · Computer Science 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…

Information Theory · Computer Science 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…

Computation · Statistics 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…

Methodology · Statistics 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.…

Sound · Computer Science 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…

Applications · Statistics 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…

Computation · Statistics 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…

Artificial Intelligence · Computer Science 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…

Probability · Mathematics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Probability · Mathematics 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,…

Machine Learning · Computer Science 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…

Data Analysis, Statistics and Probability · Physics 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…

Information Theory · Computer Science 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…

Quantum Physics · Physics 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…

Computation · Statistics 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…

Optics · Physics 2024-02-22 Stefan Meinecke , Kathy Lüdge