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Most empirical studies of complex networks do not return direct, error-free measurements of network structure. Instead, they typically rely on indirect measurements that are often error-prone and unreliable. A fundamental problem in…

Social and Information Networks · Computer Science 2021-03-10 Jean-Gabriel Young , George T. Cantwell , M. E. J. Newman

Electromagnetic information theory (EIT) is one of the emerging topics for 6G communication due to its potential to reveal the performance limit of wireless communication systems. For EIT, one of the most important research directions is…

Information Theory · Computer Science 2025-04-14 Zhongzhichao Wan , Jieao Zhu , Yongli Yan , Linglong Dai

Inverse analysis, such as model calibration, often suffers from a lack of informative data in complex real-world scenarios. The standard remedy, designing new experimental setups, is often costly and time-consuming, while readily available…

Computational Engineering, Finance, and Science · Computer Science 2026-01-16 Lea J. Haeusel , Jonas Nitzler , Lea J. Köglmeier , Wolfgang A. Wall

Pollinating insects can obtain information from electric fields arising from flowers. The density and usefulness of electric information remain unknown. Here, we show that electric information can be used to reconstruct geometrical features…

Quantitative Methods · Quantitative Biology 2026-03-02 Jake Turley , Ryan A. Palmer , Isaac V. Chenchiah , Daniel Robert

We consider a wireless sensor network, sampling a bandlimited field, described by a limited number of harmonics. Sensor nodes are irregularly deployed over the area of interest or subject to random motion; in addition sensors measurements…

Other Computer Science · Computer Science 2009-11-13 A. Nordio , C. -F. Chiasserini , E. Viterbo

In many applications, flow measurements are usually sparse and possibly noisy. The reconstruction of a high-resolution flow field from limited and imperfect flow information is significant yet challenging. In this work, we propose an…

Computational Physics · Physics 2020-01-17 Luning Sun , Jian-Xun Wang

Radio-frequency (RF) Radiance Field reconstruction is a challenging problem. The difficulty lies in the interactions between the propagating signal and objects, such as reflections and diffraction, which are hard to model precisely,…

Signal Processing · Electrical Eng. & Systems 2025-04-03 Chi-Shiang Gau , Xingyu Chen , Tara Javidi , Xinyu Zhang

We introduce neural information field filter, a Bayesian state and parameter estimation method for high-dimensional nonlinear dynamical systems given large measurement datasets. Solving such a problem using traditional methods, such as…

Machine Learning · Statistics 2024-12-17 Kairui Hao , Ilias Bilionis

A method is presented for estimating and reconstructing the sound field within a room using physics-informed neural networks. By incorporating a limited set of experimental room impulse responses as training data, this approach combines…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-03 Xenofon Karakonstantis , Diego Caviedes-Nozal , Antoine Richard , Efren Fernandez-Grande

In this study, we introduce a method for estimating sound fields in reverberant environments using a conditional invertible neural network (CINN). Sound field reconstruction can be hindered by experimental errors, limited spatial data,…

Audio and Speech Processing · Electrical Eng. & Systems 2024-04-11 Xenofon Karakonstantis , Efren Fernandez-Grande , Peter Gerstoft

Intelligent reflecting surface (IRS) that enables the control of the wireless propagation environment has been looked upon as a promising technology for boosting the spectrum and energy efficiency in future wireless communication systems.…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Samith Abeywickrama , Rui Zhang , Chau Yuen

Wireless sensor networks are often used for environmental monitoring applications. In this context sampling and reconstruction of a physical field is one of the most important problems to solve. We focus on a bandlimited field and find…

Other Computer Science · Computer Science 2007-07-16 A. Nordio , C. -F. Chiasserini , E. Viterbo

The extraction of geoelectric structural information from airborne transient electromagnetic(ATEM)data primarily involves data processing and inversion. Conventional methods rely on empirical parameter selection, making it difficult to…

Machine Learning · Computer Science 2025-03-31 Shuang Wang , Xuben Wang , Fei Deng , Xiaodong Yu , Peifan Jiang , Lifeng Mao

Current and upcoming 21-cm experiments will soon be able to map 21-cm spatial fluctuations in three dimensions for a wide range of redshifts. However, bright foreground contamination and the nature of radio interferometry create significant…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-01 Shu-Fan Chen , Kai-Feng Chen , Cora Dvorkin

Bayesian imaging inverse problems in astrophysics and cosmology remain challenging, particularly in low-data regimes, due to complex forward operators and the frequent lack of well-motivated priors for non-Gaussian signals. In this paper,…

Instrumentation and Methods for Astrophysics · Physics 2026-02-06 Sébastien Pierre , Erwan Allys , Pablo Richard , Roman Soletskyi , Alexandros Tsouros

Reconstructing astrophysical and cosmological fields from observations is challenging. It requires accounting for non-linear transformations, mixing of spatial structure, and noise. In contrast, forward simulators that map fields to…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-01 Florian List , Noemi Anau Montel , Christoph Weniger

This work gives a blind beamforming strategy for intelligent reflecting surface (IRS), aiming to boost the received signal-to-noise ratio (SNR) by coordinating phase shifts across reflective elements in the absence of channel information.…

Information Theory · Computer Science 2022-11-04 Shuyi Ren , Kaiming Shen , Yaowen Zhang , Xin Li , Xin Chen , Zhi-Quan Luo

We consider the efficient inference of finite dimensional parameters arising in the context of inverse problems. Our setup is the observation of a transformation of an unknown infinite dimensional signal $f$ corrupted by statistical noise,…

Statistics Theory · Mathematics 2026-02-03 Adel Magra , Aad van der Vaart

This paper studies the formulation, well-posedness, and numerical solution of Bayesian inverse problems on metric graphs, in which the edges represent one-dimensional wires connecting vertices. We focus on the inverse problem of recovering…

Analysis of PDEs · Mathematics 2026-03-30 David Bolin , Wenwen Li , Daniel Sanz-Alonso

We investigate phaseless inverse scattering problem for the Schr\"odinger equation and develop reconstruction methods based on the inverse Born series (IBS). We consider three types of phaseless data: the far-field total field, the total…

Mathematical Physics · Physics 2026-05-25 John C. Schotland , Shenwen Yu