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Markov Chain Monte Carlo (MCMC) methods are a powerful tool for computation with complex probability distributions. However the performance of such methods is critically dependant on properly tuned parameters, most of which are difficult if…

统计计算 · 统计学 2021-10-27 James A. Brofos , Marylou Gabrié , Marcus A. Brubaker , Roy R. Lederman

Generative artificial intelligence (AI) has made unprecedented advances in vision language models over the past two years. During the generative process, new samples (images) are generated from an unknown high-dimensional distribution.…

图形学 · 计算机科学 2025-10-13 Gurprit Singh , Wenzel Jakob

Markov Chain Monte Carlo (MCMC) algorithms are often used for approximate inference inside learning, but their slow mixing can be difficult to diagnose and the approximations can seriously degrade learning. To alleviate these issues, we…

机器学习 · 计算机科学 2015-02-25 Jacob Steinhardt , Percy Liang

Estimation of spatially-varying parameters for computationally expensive forward models governed by partial differential equations is addressed. A novel multiscale Bayesian inference approach is introduced based on deep probabilistic…

机器学习 · 统计学 2022-03-02 Yingzhi Xia , Nicholas Zabaras

Extremely large mass-ratio inspirals (XMRIs), consisting of a brown dwarf orbiting a supermassive black hole, emit long-lived and nearly monochromatic gravitational waves in the millihertz band and constitute a promising probe of…

高能天体物理现象 · 物理学 2026-02-02 Tian-Xiao Wang , Yan Wang , Alejandro Torres-Orjuela , Yi-Ren Lin , Hui-Min Fan , Verónica Vázquez-Aceves , Yi-Ming Hu

Even if globally neutral, in various scenarios compact objects can have a nonvanishing dipole moment. Examples include neutron stars with magnetic dipoles, black-hole microstates in the string-theory fuzzball scenario, and classical black…

广义相对论与量子宇宙学 · 物理学 2023-10-13 Jacopo Lestingi , Enrico Cannizzaro , Paolo Pani

Extreme mass-ratio inspirals (EMRIs) are long-duration gravitational-wave sources in which a compact object gradually spirals into a massive black hole. Their formation is governed by the interplay between stochastic angular-momentum…

广义相对论与量子宇宙学 · 物理学 2026-03-11 Chen Feng , Yong Tang

The Fisher Information Matrix (FIM) has been the standard approximation to the accuracy of parameter estimation on gravitational-wave signals from merging compact binaries due to its ease-of-use and rapid computation time. While the…

天体物理仪器与方法 · 物理学 2013-10-30 Carl L. Rodriguez , Benjamin Farr , Will M. Farr , Ilya Mandel

The following electromagnetism (EM) inverse problem is addressed. It consists in estimating local radioelectric properties of materials recovering an object from the global EM scattering measurement, at various incidences and wave…

应用统计 · 统计学 2015-06-11 François Giraud , Pierre Minvielle , Marc Sancandi , Pierre Del Moral

Extreme Mass Ratio Inspirals (EMRIs) are important sources for space-borne gravitational wave detectors, such as LISA (Laser Interferometer Space Antenna) and TianQin. Previous EMRI rate studies have focused on the "loss cone" scenario,…

高能天体物理现象 · 物理学 2021-06-16 Zhen Pan , Huan Yang

Large, sparse linear systems are pervasive in modern science and engineering, and Krylov subspace solvers are an established means of solving them. Yet convergence can be slow for ill-conditioned matrices, so practical deployments usually…

Extreme-mass-ratio inspirals (EMRIs) are among the most promising sources for future space-based gravitational-wave (GW) detectors, such as LISA. To fully leverage the scientific potential, the GW templates required for parameter estimation…

广义相对论与量子宇宙学 · 物理学 2026-03-17 Viktor Skoupý

Extreme mass ratio inspirals (EMRIs) are compact binary systems characterized by a mass-ratio $q=m/M$ in the range $~10^{-9}-10^{-4}$ and represent primary gravitational wave (GW) sources for the forthcoming Laser Interferometer Space…

Statistical inference methods are fundamentally important in machine learning. Most state-of-the-art inference algorithms are variants of Markov chain Monte Carlo (MCMC) or variational inference (VI). However, both methods struggle with…

机器学习 · 计算机科学 2019-10-17 Yichuan Zhang , José Miguel Hernández-Lobato

Proximal Markov Chain Monte Carlo is a novel construct that lies at the intersection of Bayesian computation and convex optimization, which helped popularize the use of nondifferentiable priors in Bayesian statistics. Existing formulations…

统计计算 · 统计学 2023-01-24 Qiang Heng , Hua Zhou , Eric C. Chi

We describe a new kludge scheme to model the dynamics of generic extreme-mass-ratio inspirals (EMRIs; stellar compact objects spiraling into a spinning supermassive black hole) and their gravitational-wave emission. The Chimera scheme is a…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Carlos F. Sopuerta , Nicolas Yunes

Extreme-Mass-Ratio Inspirals (EMRIs) are one of the main sources of gravitational waves expected in the low-frequency band, where space-based detectors like Laser Interferometer Space Antenna (LISA) will operate. The large number of…

广义相对论与量子宇宙学 · 物理学 2026-04-10 Pablo F. Muguruza , Carlos F. Sopuerta

Statistical signal processing applications usually require the estimation of some parameters of interest given a set of observed data. These estimates are typically obtained either by solving a multi-variate optimization problem, as in the…

统计计算 · 统计学 2021-07-27 D. Luengo , L. Martino , M. Bugallo , V. Elvira , S. Särkkä

Sequential state estimation in non-linear and non-Gaussian state spaces has a wide range of applications in statistics and signal processing. One of the most effective non-linear filtering approaches, particle filtering, suffers from weight…

统计方法学 · 统计学 2019-05-01 Yunpeng Li , Soumyasundar Pal , Mark Coates

Efficient high-rank approximations of the Hessian can accelerate seismic full waveform inversion (FWI) and uncertainty quantification (UQ). In FWI, approximations of the inverse of the Hessian may be used as preconditioners for Newton-type…

数值分析 · 数学 2025-08-12 Mathew Hu , Nick Alger , Rami Nammour , Omar Ghattas