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Stochastic simulation can make the molecular processes of cellular control more vivid than the traditional differential-equation approach by generating typical system histories instead of just statistical measures such as the mean and…

Subcellular Processes · Quantitative Biology 2018-09-18 Kevin Y. Chen , Daniel M. Zuckerman , Philip C. Nelson

We propose a method for variable selection in multiple regression with random predictors. This method is based on a criterion that permits to reduce the variable selection problem to a problem of estimating suitable permutation and…

Statistics Theory · Mathematics 2015-06-29 Alban Mbina Mbina , Guy Martial Nkiet , Assi Nguessan

We generalize the elementary mechanism of sampling with replacement $N$ times from a weighted population of size $N$, by introducing auxiliary variables and constraints on conditional independence characterised by modular congruence…

Methodology · Statistics 2014-11-24 Kari Heine , Nick Whiteley , A. Taylan Cemgil , Hakan Guldas

In this paper we examine a number of models that generate random fractals. The models are studied using the tools of computational complexity theory from the perspective of parallel computation. Diffusion limited aggregation and several…

Condensed Matter · Physics 2009-10-28 J. Machta , R. Greenlaw

Many random combinatorial objects have a component structure whose joint distribution is equal to that of a process of mutually independent random variables, conditioned on the value of a weighted sum of the variables. It is interesting to…

Probability · Mathematics 2013-08-16 Richard Arratia , Simon Tavare

Generalizing an idea of Davie and Gaines (2001), we present a method for the simulation of fully discrete samples of the solution to the stochastic heat equation on an interval. We provide a condition for the validity of the approximation,…

Probability · Mathematics 2020-01-13 Florian Hildebrandt

We propose a new method, probabilistic divide-and-conquer, for improving the success probability in rejection sampling. For the example of integer partitions, there is an ideal recursive scheme which improves the rejection cost from…

Probability · Mathematics 2015-11-25 Richard Arratia , Stephen DeSalvo

Interacting particle methods are increasingly used to sample from complex and high-dimensional distributions. These stochastic particle integration techniques can be interpreted as an universal acceptance-rejection sequential particle…

Computational Finance · Quantitative Finance 2012-10-30 P. Del Moral , G. W. Peters , Ch. Vergé

Simulation is a useful tool in situations where training data for machine learning models is costly to annotate or even hard to acquire. In this work, we propose a reinforcement learning-based method for automatically adjusting the…

Machine Learning · Computer Science 2019-05-15 Nataniel Ruiz , Samuel Schulter , Manmohan Chandraker

We consider a nonparametric regression model with continuous endogenous independent variables when only discrete instruments are available that are independent of the error term. Although this framework is very relevant for applied…

Econometrics · Economics 2024-10-18 Samuele Centorrino , Frédérique Fève , Jean-Pierre Florens

We propose and analyze a generalized splitting method to sample approximately from a distribution conditional on the occurrence of a rare event. This has important applications in a variety of contexts in operations research, engineering,…

Methodology · Statistics 2019-09-10 Zdravko I. Botev , Pierre L'Ecuyer

We present a new and easy-to-implement sequential sampling method for CGMY processes with either finite or infinite variation, exploiting the time change representation of the CGMY model and a decomposition of its time change. We find that…

Computational Finance · Quantitative Finance 2018-08-23 Chengwei Zhang , Zhiyuan Zhang

This is a method for discrete event simulation specified by survival analysis. It presents a sequence of steps. First, hazard rates from survival analysis specify the rates of a set of counting processes. Second, those counting processes…

Computation · Statistics 2016-10-14 Andrew J. Dolgert

We experimentally demonstrate a bias-free optical quantum random number generator with real-time randomness extraction to directly output uniform distributed random numbers by measuring the vacuum fluctuation of quantum state. A phase…

Quantum Physics · Physics 2019-10-15 Ziyong Zheng , Yi-Chen Zhang , Song Yu , Hong Guo

This paper introduces a framework for simulating finite dimensional representations of (jump) diffusion sample paths over finite intervals, without discretisation error (exactly), in such a way that the sample path can be restored at any…

Methodology · Statistics 2016-02-10 Murray Pollock , Adam M. Johansen , Gareth O. Roberts

In an acceptance monitoring system, acceptance sampling techniques are used to increase production, enhance control, and deliver higher-quality products at a lesser cost. It might not always be possible to define the acceptance sampling…

Methodology · Statistics 2023-11-30 Mahesh Kumar , Ashlyn Maria Mathai

The use of random sampling in decision-making and control has become popular with the ease of access to graphic processing units that can generate and calculate multiple random trajectories for real-time robotic applications. In contrast to…

Robotics · Computer Science 2022-03-21 Hyung-Jin Yoon , Chuyuan Tao , Hunmin Kim , Naira Hovakimyan , Petros Voulgaris

We present algorithms for generating small random samples without replacement. We consider two cases. We present an algorithm for sampling a pair of distinct integers, and an algorithm for sampling a triple of distinct integers. The…

Data Structures and Algorithms · Computer Science 2025-01-10 Vincent A. Cicirello

We propose a novel approach to model selection for simulator-based statistical models. The proposed approach defines a mixture of candidate models, and then iteratively updates the weight coefficients for those models as well as the…

Machine Learning · Statistics 2019-02-08 Takafumi Kajihara , Motonobu Kanagawa , Yuuki Nakaguchi , Kanishka Khandelwal , Kenji Fukumiziu

We briefly review simulation schemes for the investigation of rare transitions and we resume the recently introduced Transition Interface Sampling, a method in which the computation of rate constants is recast into the computation of fluxes…

Statistical Mechanics · Physics 2009-11-10 Daniele Moroni , Titus S. van Erp , Peter G. Bolhuis