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Nonparametric Bayesian models are used routinely as flexible and powerful models of complex data. Many times, a statistician may have additional informative beliefs about data distribution of interest, e.g., its mean or subset components,…

统计方法学 · 统计学 2022-11-08 Bingjing Tang , Vinayak Rao

We apply the Bayesian model selection method (based on the Bayes factor) to optimize $\sqrt{s_\mathrm{NN}}$-dependence in the phenomenological parameters of the (3+1)-dimensional hybrid framework for describing relativistic heavy-ion…

核理论 · 物理学 2026-03-02 Syed Afrid Jahan , Hendrik Roch , Chun Shen

Simulator-based models are models for which the likelihood is intractable but simulation of synthetic data is possible. They are often used to describe complex real-world phenomena, and as such can often be misspecified in practice.…

统计方法学 · 统计学 2022-12-20 Charita Dellaporta , Jeremias Knoblauch , Theodoros Damoulas , François-Xavier Briol

This paper presents the utilization of advanced methodologies in aerial manipulation to address meaningful industrial applications and develop versatile ultrasonic Non-Destructive Testing (NDT) technologies with aerial robots. The primary…

机器人学 · 计算机科学 2024-08-08 Tong Hui , Florian Braun , Nicolas Scheidt , Marius Fehr , Matteo Fumagalli

Accurate identification of nonlinear material parameters from three-dimensional full-field deformation data remains a challenge in experimental mechanics. The virtual fields method (VFM) provides a powerful, computationally efficient…

软凝聚态物质 · 物理学 2026-01-21 Denislav P. Nikolov , Zhiren Zhu , Jonathan B. Estrada

Speech enhancement in hearing aids remains a difficult task in nonstationary acoustic environments, mainly because current signal processing algorithms rely on fixed, manually tuned parameters that cannot adapt in situ to different users or…

Since the turn of the century, approximate Bayesian inference has steadily evolved as new computational techniques have been incorporated to handle increasingly complex and large-scale predictive problems. The recent success of deep neural…

机器学习 · 统计学 2026-01-14 Roy Shivam Ram Shreshtth , Arnab Hazra , Gourab Mukherjee

Models for heteroskedastic data are relevant in a wide variety of applications ranging from financial time series to environmental statistics. However, the topic of modeling the variance function conditionally has not seen near as much…

统计方法学 · 统计学 2020-09-30 Paul A. Parker , Scott H. Holan , Skye A. Wills

Metadynamics, a member of the `flat histogram' class of advanced sampling algorithms, has been widely used in molecular simulations to drive the exploration of states separated by high free energy barriers and promote comprehensive sampling…

The rise in computational capability has increased reliance on simulations to inform aircraft design. However aircraft airworthiness testing for flight certification remains rooted in real-world experiments performed after manufacturing an…

应用统计 · 统计学 2022-03-28 Jayant Mukhopadhaya

Inverse problems constrained by partial differential equations are often ill-conditioned due to noisy and incomplete data or inherent non-uniqueness. A prominent example is full waveform inversion, which estimates Earth's subsurface…

地球物理 · 物理学 2026-03-03 Ali Siahkoohi , Kamal Aghazade , Ali Gholami

In this paper, we apply a recently developed nonparametric modeling approach, the "diffusion forecast", to predict the time-evolution of Fourier modes of turbulent dynamical systems. While the diffusion forecasting method assumes the…

混沌动力学 · 物理学 2016-03-23 Tyrus Berry , John Harlim

This paper is concerned with the numerical solution of model-based, Bayesian inverse problems. We are particularly interested in cases where the cost of each likelihood evaluation (forward-model call) is expensive and the number of un-…

统计计算 · 统计学 2016-07-25 Isabell M. Franck , P. S. Koutsourelakis

We investigate solution methods for large-scale inverse problems governed by partial differential equations (PDEs) via Bayesian inference. The Bayesian framework provides a statistical setting to infer uncertain parameters from noisy…

应用统计 · 统计学 2023-02-08 Mina Karimi , Mehrdad Massoudi , Kaushik Dayal , Matteo Pozzi

Datasets with noisy labels are a common occurrence in practical applications of classification methods. We propose a simple probabilistic method for training deep classifiers under input-dependent (heteroscedastic) label noise. We assume an…

机器学习 · 计算机科学 2020-11-16 Mark Collier , Basil Mustafa , Efi Kokiopoulou , Rodolphe Jenatton , Jesse Berent

Predicting the response of nonlinear dynamical systems subject to random, broadband excitation is important across a range of scientific disciplines, such as structural dynamics and neuroscience. Building data-driven models requires…

机器学习 · 计算机科学 2024-09-27 Joseph Massingham , Ole Nielsen , Tore Butlin

The paper introduces novel methodologies for the identification of coefficients of switched autoregressive and switched autoregressive exogenous linear models. We consider cases which system's outputs are contaminated by possibly large…

系统与控制 · 电气工程与系统科学 2019-09-02 Sarah Hojjatinia , Constantino M. Lagoa , Fabrizio Dabbene

Datasets with hundreds of variables and many missing values are commonplace. In this setting, it is both statistically and computationally challenging to detect true predictive relationships between variables and also to suppress false…

机器学习 · 统计学 2018-04-03 Feras Saad , Vikash Mansinghka

Constitutive model discovery refers to the task of identifying an appropriate model structure, usually from a predefined model library, while simultaneously inferring its material parameters. The data used for model discovery are measured…

机器学习 · 计算机科学 2026-01-27 David Anton , Henning Wessels , Ulrich Römer , Alexander Henkes , Jorge-Humberto Urrea-Quintero

Spectrum analysis systems in online water quality testing are designed to detect types and concentrations of pollutants and enable regulatory agencies to respond promptly to pollution incidents. However, spectral data-based testing devices…

机器学习 · 计算机科学 2023-08-15 Haiwen Du , Zheng Ju , Yu An , Honghui Du , Dongjie Zhu , Zhaoshuo Tian , Aonghus Lawlor , Ruihai Dong
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