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Sequential Monte Carlo methods, also known as particle methods, are a popular set of techniques for approximating high-dimensional probability distributions and their normalizing constants. These methods have found numerous applications in…

Computation · Statistics 2021-06-23 Jeremy Heng , Adrian N. Bishop , George Deligiannidis , Arnaud Doucet

This paper investigates a novel a-posteriori variance reduction approach in Monte Carlo image synthesis. Unlike most established methods based on lateral filtering in the image space, our proposition is to produce the best possible estimate…

Graphics · Computer Science 2019-06-04 Oskar Elek , Manu M. Thomas , Angus Forbes

In the following article we provide an exposition of exact computational methods to perform parameter inference from partially observed network models. In particular, we consider the duplication attachment (DA) model which has a likelihood…

Computation · Statistics 2013-06-20 Junshan Wang , Ajay Jasra , Maria De Iorio

Models with intractable normalizing functions have numerous applications. Because the normalizing constants are functions of the parameters of interest, standard Markov chain Monte Carlo cannot be used for Bayesian inference for these…

Methodology · Statistics 2024-03-21 Bokgyeong Kang , John Hughes , Murali Haran

We discuss the use of a recent class of sequential Monte Carlo methods for solving inverse problems characterized by a semi-linear structure, i.e. where the data depend linearly on a subset of variables and nonlinearly on the remaining…

Applications · Statistics 2014-11-06 Sara Sommariva , Alberto Sorrentino

Using a simple picture of the constituent quark as a composite system of point-like partons, we construct the polarized parton distributions by a convolution between constituent quark momentum distributions and constituent quark structure…

High Energy Physics - Phenomenology · Physics 2011-04-15 Sergio Scopetta , Vicente Vento , Marco Traini

These lectures introduce the non-specialist to the evaluation of spin structure functions from asymmetries measured in polarized deep-inelastic scattering experiments. The various steps leading from apparatus dependent counting rate…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Windmolders

Nucleon structure functions are studied within the chiral soliton approach to the bosonized Nambu-Jona-Lasinio model. The valence quark approximation is employed which is justified for moderate constituent quark masses ($\sim$ 400 MeV) as…

High Energy Physics - Phenomenology · Physics 2016-09-01 H. Weigel , L. Gamberg , H. Reinhardt

Distributed models to forecast the spatial and temporal occurrence of rainfall-induced shallow landslides are based on deterministic laws. These models extend spatially the static stability models adopted in geotechnical engineering, and…

Geophysics · Physics 2014-03-17 S. Raia , M. Alvioli , M. Rossi , R. L. Baum , J. W. Godt , F. Guzzetti

This paper presents a novel stochastic framework to quantify the knock down in strength from out-of-plane wrinkles at the coupon level. The key innovation is a Markov Chain Monte Carlo algorithm which rigorously derives the stochastic…

Applications · Statistics 2019-01-17 Anhadjeet Sandhu , Anne Reinarz , Timothy Dodwell

We study polarized-spin structure functions of the nucleon within the bosonized Nambu-Jona-Lasinio model where the nucleon emerges as a chiral soliton. We present the electromagnetic polarized structure functions, $g_{1}(x)$ and $g_{2}(x)$…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Weigel , L. Gamberg , H. Reinhardt

Global analysis has been performed within the next-to-leading order in Quantum Chromodynamics (QCD) to determine polarized parton distributions with new experimental data in spin asymmetries. The new data set includes JLab, HERMES, and…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Hirai , S. Kumano , N. Saito

We introduce a Monte Carlo algorithm to efficiently compute transport properties of chaotic dynamical systems. Our method exploits the importance sampling technique that favors trajectories in the tail of the distribution of displacements,…

Statistical Mechanics · Physics 2018-05-25 Diego Tapias , David P. Sanders , Eduardo G. Altmann

We present a consensus Monte Carlo algorithm that scales existing Bayesian nonparametric models for clustering and feature allocation to big data. The algorithm is valid for any prior on random subsets such as partitions and latent feature…

Computation · Statistics 2020-02-26 Yang Ni , Yuan Ji , Peter Mueller

Starting from Martin, Roberts and Stirling fit for unpolarized deep inelastic structure functions and using the newest experimental data on spin asymmetries we get a fit which provides polarized quark distributions. We analyze the behaviour…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Bartelski , S. Tatur

We investigate structure functions in deep inelastic scattering processes (DIS) at Bj\"{o}rken limit and found that they are factorized into the longitudinal and transversal parts. We see that the longitudinal part can be linked to exact…

High Energy Physics - Phenomenology · Physics 2025-03-18 H. Babujian , M. Karowski , A. Sedrakyan

In many models used in engineering and science, material properties are uncertain or spatially varying. For example, in geophysics, and porous media flow in particular, the uncertain permeability of the material is modelled as a random…

Numerical Analysis · Mathematics 2019-07-30 Pieterjan Robbe , Dirk Nuyens , Stefan Vandewalle

By the method of Poissonization we confirm some existing results concerning consistent estimation of the structural distribution function in the situation of a large number of rare events. Inconsistency of the so called natural estimator is…

Statistics Theory · Mathematics 2007-06-13 Bert van Es , Stamatis Kolios

We briefly review the use of the order parameter probability distribution function as a useful tool to obtain the critical properties of statistical mechanical models using computer Monte Carlo simulations. Some simple discrete spin…

Statistical Mechanics · Physics 2015-06-11 J. A. Plascak , P. H. L. Martins

We discuss the present situation with regard to polarised nucleon structure function measurements. In particular we examine the status of the Bjorken sum rule in the light of the recent data on the spin structure functions of (i) the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Philip G. Ratcliffe