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We investigate sampling laws for particle algorithms and the influence of these laws on the efficiency of particle approximations of marginal likelihoods in hidden Markov models. Among a broad class of candidates we characterize the…

Computation · Statistics 2014-02-21 Nick Whiteley , Anthony Lee

Microscopy research often requires recovering particle-size distributions in three dimensions from only a few (10 - 200) profile measurements in the section. This problem is especially relevant for petrographic and mineralogical studies,…

Methodology · Statistics 2022-02-16 Ekaterina Poliakova

Background: A quantitative microscopic understanding of the fission-fragment yield distributions represents a major challenge for nuclear theory as it involves the intricate competition between large-amplitude nuclear collective motion and…

Nuclear Theory · Physics 2022-02-02 Jhilam Sadhukhan , Samuel A. Giuliani , Witold Nazarewicz

In statistical practice, a realistic Bayesian model for a given data set can be defined by a likelihood function that is analytically or computationally intractable, due to large data sample size, high parameter dimensionality, or complex…

Methodology · Statistics 2019-03-19 George Karabatsos , Fabrizio Leisen

We develop a maximum penalized quasi-likelihood estimator for estimating in a nonparametric way the diffusion function of a diffusion process, as an alternative to more traditional kernel-based estimators. After developing a numerical…

Statistical Finance · Quantitative Finance 2011-01-12 Jeff Hamrick , Yifei Huang , Constantinos Kardaras , Murad Taqqu

Consistent statistical physical description is given for systems where the elementary excitations are composite objects. Explicit calculational scheme is constructed for the energy density and the total number of thermodynamical degrees of…

High Energy Physics - Phenomenology · Physics 2011-03-01 A. Jakovac

We consider the flow of multiple particles in a Bingham fluid in an anti-plane shear flow configuration. The limiting situation in which the internal and applied forces balance and the fluid and particles stop flowing, that is, when the…

Optimization and Control · Mathematics 2021-06-09 José A. Iglesias , Gwenael Mercier , Otmar Scherzer

The paper is devoted to the numerical solutions of fractional PDEs based on its probabilistic interpretation, that is, we construct approximate solutions via certain Monte Carlo simulations. The main results represent the upper bound of…

Probability · Mathematics 2020-12-29 Vassili Kolokoltsov , Feng Lin , Aleksandar Mijatovic

We characterise the probability distributions that arise from quantum circuits all of whose gates commute, and show when these distributions can be classically simulated efficiently. We consider also marginal distributions and the…

Computational Complexity · Computer Science 2010-05-12 Dan Shepherd

A computational technique borrowed from the physical sciences is introduced to obtain accurate closed-form approximations for the transition probability of arbitrary diffusion processes. Within the path integral framework the same technique…

Physics and Society · Physics 2008-12-10 Luca Capriotti

Simulations of high-energy particle collisions, such as those used at the Large Hadron Collider, are based on quantum field theory; however, many approximations are made in practice. For example, the simulation of the parton shower, which…

High Energy Physics - Phenomenology · Physics 2021-12-28 Sebastian Macaluso , Kyle Cranmer

Accurate estimation of the states of a nonlinear dynamical system is crucial for their design, synthesis, and analysis. Particle filters are estimators constructed by simulating trajectories from a sampling distribution and averaging them…

Signal Processing · Electrical Eng. & Systems 2023-02-03 Fernando Gama , Nicolas Zilberstein , Martin Sevilla , Richard Baraniuk , Santiago Segarra

We point out that a simple inflationary model in which the axionic inflaton couples to a pure Yang-Mills theory may give the scalar spectral index (n_s) and tensor-to-scalar ratio (r) in complete agreement with the current observational…

High Energy Physics - Phenomenology · Physics 2017-12-12 Yasunori Nomura , Taizan Watari , Masahito Yamazaki

The use of machine learning algorithms is an attractive way to produce very fast detector simulations for scattering reactions that can otherwise be computationally expensive. Here we develop a factorised approach where we deal with each…

Data Analysis, Statistics and Probability · Physics 2022-07-26 D. Darulis , R. Tyson , D. G. Ireland , D. I. Glazier , B. McKinnon , P. Pauli

A classical solution to the Yang-Mills theory is given a new semiclassical interpretation. The boundary value problem on a complex time contour which arises from the semiclassical approximation to multiparticle scattering amplitudes is…

High Energy Physics - Phenomenology · Physics 2010-11-01 Thomas M. Gould , Erich R. Poppitz

We elucidate how Quantum Thermodynamics at temperature $T$ emerges from pure and classical SU(2) Yang-Mills theory on a four-dimensional Euclidean spacetime slice $S_1\times {\bf R}^3$. The concept of a (deconfining) thermal ground state,…

General Physics · Physics 2016-08-26 Ralf Hofmann

A classical solution to the Yang-Mills theory is given a new semiclassical interpretation in terms of particle scattering. It solves the complex time boundary value problem, which arises in the semiclassical approximation to a multi…

High Energy Physics - Phenomenology · Physics 2010-11-01 Thomas M. Gould , Erich R. Poppitz

We are interested in the threshold phenomena for propagation in nonlocal diffusion equations with some compactly supported initial data. In the so-called bistable and ignition cases, we provide the first quantitative estimates for such…

Analysis of PDEs · Mathematics 2022-01-06 Matthieu Alfaro , Arnaud Ducrot , Hao Kang

The $p$-tensor Ising model is a one-parameter discrete exponential family for modeling dependent binary data, where the sufficient statistic is a multi-linear form of degree $p \geq 2$. This is a natural generalization of the matrix Ising…

Statistics Theory · Mathematics 2020-09-01 Somabha Mukherjee , Jaesung Son , Bhaswar B. Bhattacharya

A scaling phenomenon in the cross section for fragments has been found in the projectile fragmentation reaction, and an empirical scaling formula is proposed by considering the dependence of cross section on the size and asymmetry of the…

Nuclear Theory · Physics 2017-05-23 Yi-Dan Song , Chun-Wang Ma , Xue-Ying Liu , Hui-Ling Wei
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