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We present an iterative framework to improve the amortized approximations of posterior distributions in the context of Bayesian inverse problems, which is inspired by loop-unrolled gradient descent methods and is theoretically grounded in…

机器学习 · 计算机科学 2023-05-16 Rafael Orozco , Ali Siahkoohi , Mathias Louboutin , Felix J. Herrmann

Over short time intervals planetary ephemerides have been traditionally represented in analytical form as finite sums of periodic terms or sums of Poisson terms that are periodic terms with polynomial amplitudes. Nevertheless, this…

天体物理仪器与方法 · 物理学 2017-01-26 Yanning Fu , Jacques Laskar

This paper considers the problem of approximating the inverse of the wave-equation Hessian, also called normal operator, in seismology and other types of wave-based imaging. An expansion scheme for the pseudodifferential symbol of the…

We consider the inverse problem of determining an elastic dislocation that models a seismic fault in the quasi-static regime of aseismic, creeping faults, from displacement measurements made at the surface of Earth. We derive both a…

偏微分方程分析 · 数学 2024-10-08 Andrea Aspri , Elena Beretta , Arum Lee , Anna Mazzucato

Forecasting the evolution of complex systems is one of the grand challenges of modern data science. The fundamental difficulty lies in understanding the structure of the observed stochastic process. In this paper, we show that every…

统计理论 · 数学 2020-01-01 Xiucai Ding , Zhou Zhou

The results of a combined experimental and numerical study of the flow in slowly diverging pipes are presented. Interestingly, an axisymmetric conical recirculation cell has been observed. The conditions for its existence and the length of…

流体动力学 · 物理学 2025-05-13 Jorge Peixinho , Hugues Besnard

For the diffraction of an incident plane electromagnetic wave by a slotted metallic film, the previous analytical calculation for a single slot [Technical Phys. 50, 1076 (2005)] is generalized into a model for an arbitrary linear array of…

计算物理 · 物理学 2011-06-21 L. David Wellems , Danhong Huang

We propose a method for estimating the asymptotic phase and amplitude functions of limit-cycle oscillators using observed time series data without prior knowledge of their dynamical equations. The estimation is performed by polynomial…

适应与自组织系统 · 物理学 2023-01-19 Norihisa Namura , Shohei Takata , Katsunori Yamaguchi , Ryota Kobayashi , Hiroya Nakao

Recent numerical studies revealed that transverse motions of coronal loops can induce the Kelvin-Helmholtz Instability (KHI). This process could be important in coronal heating because it leads to dissipation of energy at small…

太阳与恒星天体物理 · 物理学 2019-01-16 Mingzhe Guo , Tom Van Doorsselaere , Kostas Karampelas , Bo Li , Patrick Antolin , Ineke De Moortel

We consider a certain sequence of flat vector bundles on a compact locally symmetric orbifold, and we evaluate explicitly the associated asymptotic Ray-Singer real analytic torsion. The basic idea is to computing the heat trace via…

微分几何 · 数学 2024-05-22 Bingxiao Liu

We perform several numerical studies for our recently published adaptive compressive tomography scheme [D. Ahn et al. Phys. Rev. Lett. 122, 100404 (2019)], which significantly reduces the number of measurement settings to unambiguously…

量子物理 · 物理学 2019-07-31 D. Ahn , Y. S. Teo , H. Jeong , D. Koutny , J. Rehacek , Z. Hradil , G. Leuchs , L. L. Sanchez-Soto

This study investigates the dynamics of alternating minimization applied to a bilinear regression task with normally distributed covariates, under the asymptotic system size limit where the number of parameters and observations diverge at…

最优化与控制 · 数学 2025-02-03 Koki Okajima , Takashi Takahashi

A geodynamo-model based on an \alpha-effect which has been computed under conditions suitable for the geodynamo is constructed. For a highly restricted class of radial \alpha-profiles the linear \alpha2-model exhibits oscillating solutions…

天体物理学 · 物理学 2009-11-13 A. Giesecke , G. Rudiger , D. Elstner

In this paper, we propose an approach for computing invariant sets of discrete-time nonlinear systems by lifting the nonlinear dynamics into a higher dimensional linear model. In particular, we focus on the \emph{maximal admissible…

系统与控制 · 电气工程与系统科学 2022-07-22 Zheming Wang , Raphaël M. Jungers , Chong-Jin Ong

The idea of curvature analysis has been widely used in subsurface structure interpretation from three-dimensional (3D) seismic data (e.g., fault/fracture detection and geomorphology delineation) by measuring the lateral changes in the…

地球物理 · 物理学 2019-02-05 Haibin Di , Motaz Alfarraj , Ghassan AlRegib

The low-temperature properties and crossover phenomena of $d$-dimensional transverse Ising-like systems within the influence domain of the quantum critical point are investigated solving the appropriate one-loop renormalization group…

统计力学 · 物理学 2009-11-10 A. Caramico D'Auria , L. De Cesare , I. Rabuffo

Limit analysis is a computationally efficient tool to assess the resistance and the failure mode of structures but does not provide any information on the displacement capacity, which is one of the concepts which most affects the seismic…

计算工程、金融与科学 · 计算机科学 2019-10-31 A. Greco , F. Cannizzaro , A. Pluchino

Approximate deconvolution forms a mathematical framework for the structural modeling of turbulence. The sub-filter scale flow quantities are typically recovered by using the Van Cittert iterative procedure. In this paper, however, we put…

流体动力学 · 物理学 2017-07-31 Omer San , Prakash Vedula

We propose a new reverse time migration method for reconstructing extended obstacles in the planar waveguide using acoustic waves at a fixed frequency. We prove the resolution of the reconstruction method in terms of the aperture and the…

经典物理 · 物理学 2015-10-28 Zhiming Chen , Guanghui Huang

Resonance-assisted tunneling is investigated within the framework of one-dimensional integrable systems. We present a systematic recipe, based on Hamiltonian normal forms, to construct one-dimensional integrable models that exhibit…

量子物理 · 物理学 2013-11-13 Jérémy Le Deunff , Amaury Mouchet , Peter Schlagheck
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