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We describe a Bayesian formalism for analyzing individual gravitational-wave events in light of the rest of an observed population. This analysis reveals how the idea of a "population-informed prior" arises naturally from a suitable…

广义相对论与量子宇宙学 · 物理学 2021-11-11 Christopher J. Moore , Davide Gerosa

We discuss two cases that can be connected to the dynamics of interacting populations: (I.) density waves for the case or negligible random fluctuations of the populations densities, and (II.) probability distributions connected to the…

数学物理 · 物理学 2013-04-05 Nikolay K. Vitanov , Zlatinka I. Dimitrova , Kaloyan N. Vitanov

How to model distribution of sequential data, including but not limited to speech and human motions, is an important ongoing research problem. It has been demonstrated that model capacity can be significantly enhanced by introducing…

机器学习 · 计算机科学 2018-06-19 Guokun Lai , Bohan Li , Guoqing Zheng , Yiming Yang

A mechanistic theory of wind-wave interaction must rely on verifiable assumptions and offer reproducible observable predictions. For decades, the limited mechanistic grasp on the problem has motivated RANS and LES modeling and has driven a…

流体动力学 · 物理学 2018-02-15 Tihomir Hristov

Inference for the stochastic blockmodel is currently of burgeoning interest in the statistical community, as well as in various application domains as diverse as social networks, citation networks, brain connectivity networks…

统计方法学 · 统计学 2016-02-10 Shakira Suwan , Dominic S. Lee , Runze Tang , Daniel L. Sussman , Minh Tang , Carey E. Priebe

We present an automatic approach to discover analytic population models for gravitational-wave (GW) events from data. As more gravitational-wave (GW) events are detected, flexible models such as Gaussian Mixture Models have become more…

天体物理仪器与方法 · 物理学 2022-07-27 Kaze W. K Wong , Miles Cranmer

The main topic of this paper is the analysis and modeling of stop-and-go waves, observable in experiments of single lane movement with pedestrians. The velocity density relation using measurements on a 'microscopic' scale shows the…

物理与社会 · 物理学 2010-03-30 Andrea Portz , Armin Seyfried

We consider a family of models describing the evolution under selection of a population whose dynamics can be related to the propagation of noisy traveling waves. For one particular model, that we shall call the exponential model, the…

无序系统与神经网络 · 物理学 2009-11-13 E. Brunet , B. Derrida , A. H. Mueller , S. Munier

Network models are increasingly used to study infectious disease spread. Exponential Random Graph models have a history in this area, with scalable inference methods now available. An alternative approach uses mechanistic network models.…

统计方法学 · 统计学 2024-01-11 Octavious Smiley , Till Hoffmann , Jukka-Pekka Onnela

In this paper, we introduce a new and efficient data augmentation approach to the posterior inference of the models with shape parameters when the reciprocal gamma function appears in full conditional densities. Our approach is to…

统计方法学 · 统计学 2023-11-08 Yasuyuki Hamura , Kaoru Irie , Shonosuke Sugasawa

The problem of mapping human close-range proximity networks has been tackled using a variety of technical approaches. Wearable electronic devices, in particular, have proven to be particularly successful in a variety of settings relevant…

We consider the Bayesian detection statistic for a targeted search for continuous gravitational waves, known as the $\mathcal{B}$-statistic. This is a Bayes factor between signal and noise hypotheses, produced by marginalizing over the four…

广义相对论与量子宇宙学 · 物理学 2018-12-19 John J. Bero , John T. Whelan

Grammatical forms are said to evolve via two main mechanisms. These are, respectively, the `descent' mechanism, where current forms can be seen to have descended (albeit with occasional modifications) from their roots in ancient languages,…

统计力学 · 物理学 2023-02-20 Jean-Marc Luck , Anita Mehta

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical…

社会与信息网络 · 计算机科学 2018-11-08 Shubham Gupta , Gaurav Sharma , Ambedkar Dukkipati

We propose parameterizing the population distribution of the gravitational wave population modeling framework (Hierarchical Bayesian Analysis) with a normalizing flow. We first demonstrate the merit of this method on illustrative…

天体物理仪器与方法 · 物理学 2023-01-02 David Ruhe , Kaze Wong , Miles Cranmer , Patrick Forré

Many modern data analysis problems involve inferences from streaming data. However, streaming data is not easily amenable to the standard probabilistic modeling approaches, which assume that we condition on finite data. We develop…

机器学习 · 统计学 2015-07-23 James McInerney , Rajesh Ranganath , David M. Blei

Functional data analysis, which models data as realizations of random functions over a continuum, has emerged as a useful tool for time series data. Often, the goal is to infer the dynamic connections (or time-varying conditional…

统计方法学 · 统计学 2024-12-10 Chunshan Liu , Daniel R. Kowal , James Doss-Gollin , Marina Vannucci

We consider a generalised Webster's equation for describing wave propagation in curved tubular structures such as variable diameter acoustic wave guides. Webster's equation in generalised form has been rigorously derived in a previous…

偏微分方程分析 · 数学 2014-05-29 Teemu Lukkari , Jarmo Malinen

Posterior distributions on parameters computed from experimental data using Bayesian techniques are only as accurate as the models used to construct them. In many applications these models are incomplete, which both reduces the prospects of…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Christopher J. Moore , Jonathan R. Gair

The rapidly increasing complexity of (mainly wireless) ad-hoc networks stresses the need of reliable distributed estimation of several variables of interest. The widely used centralized approach, in which the network nodes communicate their…

信息论 · 计算机科学 2015-03-20 K. Dedecius , V. Sečkárová
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