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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

While gradient-based discrete samplers are effective in sampling from complex distributions, they are susceptible to getting trapped in local minima, particularly in high-dimensional, multimodal discrete distributions, owing to the…

机器学习 · 统计学 2025-05-21 Luxu Liang , Yuhang Jia , Feng Zhou

Bayesian inference with stochastic models is often difficult because their likelihood functions involve high-dimensional integrals. Approximate Bayesian Computation (ABC) avoids evaluating the likelihood function and instead infers model…

By analyzing the characteristics of hardware-native Ising Models and their performance on current and next generation quantum annealers, we provide a framework for determining the prospect of advantage utilizing adiabatic evolution compared…

量子物理 · 物理学 2024-06-25 Salvatore Certo , Georgios Korpas , Andrew Vlasic , Philip Intallura

This note explores probabilistic sampling weighted by uncertainty in active learning. This method has been previously used and authors have tangentially remarked on its efficacy. The scheme has several benefits: (1) it is computationally…

机器学习 · 计算机科学 2019-09-12 Vinay Jethava

We propose an adaptive importance sampling scheme for Gaussian approximations of intractable posteriors. Optimization-based approximations like variational inference can be too inaccurate while existing Monte Carlo methods can be too slow.…

统计计算 · 统计学 2025-02-04 Willem van den Boom , Andrea Cremaschi , Alexandre H. Thiery

Previous transfer methods for anomaly detection generally assume the availability of labeled data in source or target domains. However, such an assumption is not valid in most real applications where large-scale labeled data are too…

机器学习 · 计算机科学 2021-05-20 Cangning Fan , Fangyi Zhang , Peng Liu , Xiuyu Sun , Hao Li , Ting Xiao , Wei Zhao , Xianglong Tang

Likelihood-free inference involves inferring parameter values given observed data and a simulator model. The simulator is computer code which takes parameters, performs stochastic calculations, and outputs simulated data. In this work, we…

统计计算 · 统计学 2023-01-30 Dennis Prangle , Cecilia Viscardi

The choice of parameters in neural networks is crucial in the performance, and an oracle distribution derived from the ridgelet transform enables us to obtain suitable initial parameters. In other words, the distribution of parameters is…

机器学习 · 计算机科学 2024-11-18 Hikaru Homma , Jun Ohkubo

Importance sampling is a widely used technique to estimate properties of a distribution. This paper investigates trading-off some bias for variance by adaptively winsorizing the importance sampling estimator. The novel winsorizing…

统计计算 · 统计学 2021-02-10 Paulo Orenstein

In many real-world engineering systems, the performance or reliability of the system is characterised by a scalar parameter. The distribution of this performance parameter is important in many uncertainty quantification problems, ranging…

统计方法学 · 统计学 2022-10-03 Robert Millar , Jinglai Li , Hui Li

The problem of finding the expected value of a statistic of a locally stable point process in a bounded region is addressed. We propose an adaptive importance sampling for solving the problem. In our proposal, we restrict the importance…

机器学习 · 统计学 2025-03-04 Hee-Geon Kang , Sunggon Kim

We review an established Bayesian sampling method called sampling/importance resampling and highlight situations in nuclear theory when it can be particularly useful. To this end we both analyse a toy problem and demonstrate realistic…

核理论 · 物理学 2023-01-18 Weiguang Jiang , Christian Forssén

We propose a method for the accurate estimation of rare event or failure probabilities for expensive-to-evaluate numerical models in high dimensions. The proposed approach combines ideas from large deviation theory and adaptive importance…

统计计算 · 统计学 2023-03-28 Shanyin Tong , Georg Stadler

In solving simulation-based stochastic root-finding or optimization problems that involve rare events, such as in extreme quantile estimation, running crude Monte Carlo can be prohibitively inefficient. To address this issue, importance…

统计方法学 · 统计学 2021-02-23 Shengyi He , Guangxin Jiang , Henry Lam , Michael C. Fu

Parallel Quantum Annealing is a technique to solve multiple optimization problems simultaneously. Parallel quantum annealing aims to optimize the utilization of available qubits on a quantum topology by addressing multiple independent…

量子物理 · 物理学 2024-03-12 Arit Kumar Bishwas , Anuraj Som , Saurabh Choudhary

Bias in datasets can be very detrimental for appropriate statistical estimation. In response to this problem, importance weighting methods have been developed to match any biased distribution to its corresponding target unbiased…

机器学习 · 计算机科学 2022-09-12 Antoine de Mathelin , Francois Deheeger , Mathilde Mougeot , Nicolas Vayatis

We investigate a stochastic version of the synthetic multicellular clock model proposed by Garcia-Ojalvo, Elowitz and Strogatz. By introducing dynamical noise in the model and assuming that the partial observations of the system can be…

统计计算 · 统计学 2015-12-15 Inés P. Mariño , Joaquin Miguez , Alexey Zaikin

The goal of this paper is to develop provably efficient importance sampling Monte Carlo methods for the estimation of rare events within the class of linear stochastic partial differential equations (SPDEs). We find that if a spectral gap…

概率论 · 数学 2017-05-05 Michael Salins , Konstantinos Spiliopoulos

We consider spin models on complex networks frequently used to model social and technological systems. We study the annealed ferromagnetic Ising model for random networks with either independent edges (Erd\H{o}s-R\'enyi), or with prescribed…

无序系统与神经网络 · 物理学 2021-12-07 Van Hao Can , Cristian Giardinà , Claudio Giberti , Remco van der Hofstad