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A Bayesian approach to nonlinear inverse problems is considered where the unknown quantity (input) is a random spatial field. The forward model is complex and non-linear, therefore computationally expensive. An emulator-based methodology is…

Applications · Statistics 2021-05-11 Anirban Mondal , Bani Mallick

Optical imaging of quantum emitters is essential for a wide range of quantum applications. Conventional confocal imaging relies on point-by-point raster scanning, which is inherently time-consuming and photon-inefficient, particularly for…

The present operation of the ground-based network of gravitational-wave laser interferometers in "enhanced" configuration brings the search for gravitational waves into a regime where detection is highly plausible. The development of…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 John Veitch , Alberto Vecchio

The increased flexibility and density of spectrum access in 5G New Radio (NR) has made jamming detection and classification a critical research area. To detect coexisting jamming and subtle interference, we introduce a Bayesian…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Shashank Jere , Ying Wang , Ishan Aryendu , Shehadi Dayekh , Lingjia Liu

We use Bayesian inference and nested sampling to develop a non-parametric method to reconstruct the primordial power spectrum $P_{\mathcal{R}}(k)$ from Large Scale Structure (LSS) data. The performance of the method is studied by applying…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-16 G. Martínez-Somonte , A. Marcos-Caballero , E. Martínez-González , G. Cañas-Herrera

We consider the problem of determining the shape and location of an unknown penetrable object in a perfectly conducting electromagnetic waveguide. The inverse problem is posed in the frequency domain and uses multistatic data in the near…

Numerical Analysis · Mathematics 2019-09-04 Peter Monk , Virginia Selgas , Fan Yang

As models of cognition grow in complexity and number of parameters, Bayesian inference with standard methods can become intractable, especially when the data-generating model is of unknown analytic form. Recent advances in simulation-based…

Machine Learning · Statistics 2020-07-14 Stefan T. Radev , Andreas Voss , Eva Marie Wieschen , Paul-Christian Bürkner

Proportional scintillation counters (PSCs), both single- and dual-phase, can measure the scintillation (S1) and ionization (S2) channels from particle interactions within the detector volume. The signal obtained from these detectors depends…

Instrumentation and Detectors · Physics 2016-03-23 Kareem Kazkaz , Tenzing Henry Yatish Joshi

The advancement of machine learning algorithms has opened a wide scope for vibration-based SHM (Structural Health Monitoring). Vibration-based SHM is based on the fact that damage will alter the dynamic properties viz., structural response,…

Machine Learning · Computer Science 2019-08-20 Rahul Vashisht , H. Viji , T. Sundararajan , D. Mohankumar , S. Sumitra

It has historically been a challenge to perform Bayesian inference in a design-based survey context. The present paper develops a Bayesian model for sampling inference in the presence of inverse-probability weights. We use a hierarchical…

Methodology · Statistics 2020-06-24 Yajuan Si , Natesh S. Pillai , Andrew Gelman

Detection of $\gamma$-ray polarization in Positron Emission Tomography (PET) is as yet an unexploited feature that could be used as an additional handle to improve signal-to-background ratio in this imaging modality. The $\gamma$…

Instrumentation and Detectors · Physics 2022-08-17 Siddharth Parashari , Mihael Makek , Tomislav Bokulić , Damir Bosnar , Ana Marija Kožuljević , Zdenka Kuncic , Petar Žugec

With the ubiquitous availability of unstructured data, growing attention is paid as how to adjust for selection bias in such non-probability samples. The majority of the robust estimators proposed by prior literature are either fully or…

Methodology · Statistics 2022-04-08 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

Sequential neural posterior estimation (SNPE) techniques have been recently proposed for dealing with simulation-based models with intractable likelihoods. Unlike approximate Bayesian computation, SNPE techniques learn the posterior from…

Machine Learning · Statistics 2025-01-17 Yifei Xiong , Xiliang Yang , Sanguo Zhang , Zhijian He

In this paper, we study the inverse electromagnetic medium scattering problem of estimating the support and shape of medium scatterers from scattered electric or magnetic near-field data. We shall develop a novel direct sampling method…

Numerical Analysis · Mathematics 2015-06-12 Kazufumi Ito , Bangti Jin , Jun Zou

Sub-nanometer and nanometer-sized tips provide high coherence electron sources. Conventionally, the effective source size is estimated from the extent of the experimental biprism interference pattern created on the detector by applying the…

Instrumentation and Detectors · Physics 2017-03-07 Tatiana Latychevskaia

We present COMPASS, a novel simulation-based inference framework that combines score-based diffusion models with transformer architectures to jointly perform parameter estimation and Bayesian model comparison across competing Galactic…

Astrophysics of Galaxies · Physics 2025-07-09 Berkay Gunes , Sven Buder , Tobias Buck

This article tackles the old problem of prediction via a nonparametric transformation model (NTM) in a new Bayesian way. Estimation of NTMs is known challenging due to model unidentifiability though appealing because of its robust…

Methodology · Statistics 2023-02-08 Chong Zhong , Jin Yang , Junshan Shen , Catherine Liu , Zhaohai Li

Comparing competing mathematical models of complex natural processes is a shared goal among many branches of science. The Bayesian probabilistic framework offers a principled way to perform model comparison and extract useful metrics for…

Nanowire field-effect sensors have recently been developed for label-free detection of biomolecules. In this work, we introduce a computational technique based on Bayesian estimation to determine the physical parameters of the sensor and,…

Numerical Analysis · Mathematics 2019-10-29 Amirreza Khodadadian , Benjamin Stadlbauer , Clemens Heitzinger

In many areas of science, complex phenomena are modeled by stochastic parametric simulators, often featuring high-dimensional parameter spaces and intractable likelihoods. In this context, performing Bayesian inference can be challenging.…

Machine Learning · Computer Science 2021-11-10 François Rozet , Gilles Louppe