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Inferring the parameters of a stochastic model based on experimental observations is central to the scientific method. A particularly challenging setting is when the model is strongly indeterminate, i.e. when distinct sets of parameters…

机器学习 · 统计学 2021-11-10 Pedro L. C. Rodrigues , Thomas Moreau , Gilles Louppe , Alexandre Gramfort

Fitting a simplifying model with several parameters to real data of complex objects is a highly nontrivial task, but enables the possibility to get insights into the objects physics. Here, we present a method to infer the parameters of the…

数据分析、统计与概率 · 物理学 2018-12-21 Johannes Oberpriller , T. A. Enßlin

We present a novel Bayesian inference tool that uses a neural network to parameterise efficient Markov Chain Monte-Carlo (MCMC) proposals. The target distribution is first transformed into a diagonal, unit variance Gaussian by a series of…

宇宙学与河外天体物理 · 物理学 2020-06-03 Adam Moss

Inverse parameter estimation of process-based models is a long-standing problem in many scientific disciplines. A key question for inverse parameter estimation is how to define the metric that quantifies how well model predictions fit to…

种群与进化 · 定量生物学 2014-05-09 Florian Hartig , Claudia Dislich , Thorsten Wiegand , Andreas Huth

We propose to use neural networks to estimate the rates of coherent and incoherent processes in quantum systems from continuous measurement records. In particular, we adapt an image recognition algorithm to recognize the patterns in…

量子物理 · 物理学 2017-11-15 Eliska Greplova , Christian Kraglund Andersen , Klaus Mølmer

We show that ensembles of deep neural networks, called deep ensembles, can be used to perform quantum parameter estimation while also providing a means for quantifying uncertainty in parameter estimates, which is a key advantage of using…

量子物理 · 物理学 2026-03-09 Amanuel Anteneh

In this paper we consider the estimation of unknown parameters in Bayesian inverse problems. In most cases of practical interest, there are several barriers to performing such estimation, This includes a numerical approximation of a…

统计方法学 · 统计学 2025-02-07 Neil K. Chada , Ajay Jasra , Mohamed Maama , Raul Tempone

We study large but finite neural networks that, in the thermodynamic limit, admit an exact low-dimensional mean-field description. We assume that the governing mean-field equations describing macroscopic quantities such as the mean firing…

混沌动力学 · 物理学 2026-02-11 Irmantas Ratas , Kestutis Pyragas

Next generation radio experiments such as LOFAR, HERA and SKA are expected to probe the Epoch of Reionization and claim a first direct detection of the cosmic 21cm signal within the next decade. Data volumes will be enormous and can thus…

宇宙学与河外天体物理 · 物理学 2018-01-03 Claude J Schmit , Jonathan R Pritchard

Modern Bayesian inference involves a mixture of computational techniques for estimating, validating, and drawing conclusions from probabilistic models as part of principled workflows for data analysis. Typical problems in Bayesian workflows…

Bayesian model reduction provides an efficient approach for comparing the performance of all nested sub-models of a model, without re-evaluating any of these sub-models. Until now, Bayesian model reduction has been applied mainly in the…

机器学习 · 计算机科学 2024-10-15 Jim Beckers , Bart van Erp , Ziyue Zhao , Kirill Kondrashov , Bert de Vries

Bayesian estimation is a powerful theoretical paradigm for the operation of quantum sensors. However, the Bayesian method for statistical inference generally suffers from demanding calibration requirements that have so far restricted its…

量子物理 · 物理学 2021-09-22 Samuel P. Nolan , Augusto Smerzi , Luca Pezzè

A purely data-driven approach using deep convolutional neural networks is discussed in the context of Large Eddy Simulation (LES) of turbulent premixed flames. The assessment of the method is conducted a priori using direct numerical…

流体动力学 · 物理学 2018-10-22 Zacharias M. Nikolaou , Charalambos Chrysostomou , Luc Vervisch , Stewart Cant

Parameter estimation for dynamical systems remains challenging due to non-convexity and sensitivity to initial parameter guesses. Recent deep learning approaches enable accurate and fast parameter estimation but do not exploit transferable…

系统与控制 · 电气工程与系统科学 2026-04-08 Fabian Raisch , Timo Germann , J. Nathan Kutz , Christoph Goebel , Benjamin Tischler

This paper addresses the problem of estimating the modes of an observed non-stationary mixture signal in the presence of an arbitrary distributed noise. A novel Bayesian model is introduced to estimate the model parameters from the…

信号处理 · 电气工程与系统科学 2022-03-31 Quentin Legros , Dominique Fourer , Sylvain Meignen , Marcelo A. Colominas

This paper studies the problem of parameter estimation in resonant, acoustic fluid-structure interaction problems over a wide frequency range. Problems with multiple resonances are known to be subjected to local minima, which represents a…

计算物理 · 物理学 2019-03-06 Peter Göransson , Jacques Cuenca , Timo Lähivaara

Machine learning methods for computational imaging require uncertainty estimation to be reliable in real settings. While Bayesian models offer a computationally tractable way of recovering uncertainty, they need large data volumes to be…

机器学习 · 计算机科学 2020-08-24 Francesco Tonolini , Jack Radford , Alex Turpin , Daniele Faccio , Roderick Murray-Smith

Recent studies have shown that ensemble approaches could not only improve accuracy and but also estimate model uncertainty in deep learning. However, it requires a large number of parameters according to the increase of ensemble models for…

计算机视觉与模式识别 · 计算机科学 2020-05-25 Hong Joo Lee , Seong Tae Kim , Hakmin Lee , Nassir Navab , Yong Man Ro

Parameter estimation is crucial for modeling, tracking, and control of complex dynamical systems. However, parameter uncertainties can compromise system performance under a controller relying on nominal parameter values. Typically,…

机器人学 · 计算机科学 2020-02-20 Mouhyemen Khan , Abhijit Chatterjee

Monitoring the dynamics processes in combustors is crucial for safe and efficient operations. However, in practice, only limited data can be obtained due to limitations in the measurable quantities, visualization window, and temporal…

流体动力学 · 物理学 2021-07-27 Xingyu Su , Weiqi Ji , Long Zhang , Wantong Wu , Zhuyin Ren , Sili Deng