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Basic ideas for creating wave-focusing materials by injecting small particles in a given material are described. The number of small particles to be injected around any point is calculated. Inverse scattering problem with fixed wavenumber…

Mathematical Physics · Physics 2008-05-19 A. G. Ramm

A novel numerical method for solving inverse scattering problem with fixed-energy data is proposed. The method contains a new important concept: the stability index of the inversion problem. This is a number, computed from the data, which…

Mathematical Physics · Physics 2007-05-23 S. Gutman , A. G. Ramm , W. Scheid

This paper proposes a data-driven method to solve the fixed-energy inverse scattering problem for radially symmetric potentials using radial basis function (RBF) neural networks in an open-loop control system. The method estimates the…

Nuclear Theory · Physics 2026-02-09 Gábor Balassa

We develop a novel wave imaging scheme for reconstructing the shape of an inhomogeneous scatterer and we consider the inverse acoustic obstacle scattering problem as a prototype model for our study. There exists a wealth of reconstruction…

Analysis of PDEs · Mathematics 2020-01-08 Hongyu Liu , Xiaodong Liu , Xianchao Wang , Yuliang Wang

The research of metamaterials has achieved enormous success in the manipulation of light in an artificially prescribed manner using delicately designed sub-wavelength structures, so-called meta-atoms. Even though modern numerical methods…

Optics · Physics 2019-01-31 Wei Ma , Feng Cheng , Yihao Xu , Qinlong Wen , Yongmin Liu

A key question for machine learning approaches in particle physics is how to best represent and learn from collider events. As an event is intrinsically a variable-length unordered set of particles, we build upon recent machine learning…

High Energy Physics - Phenomenology · Physics 2020-04-17 Patrick T. Komiske , Eric M. Metodiev , Jesse Thaler

We propose an instance-wise adaptive sampling framework for constructing compact and informative training datasets for supervised learning of inverse problem solutions. Typical learning-based approaches aim to learn a general-purpose…

Machine Learning · Computer Science 2026-02-20 Jiequn Han , Kui Ren , Nathan Soedjak

Inverse design is an outstanding challenge in disordered systems with multiple length scales such as polymers, particularly when designing polymers with desired phase behavior. We demonstrate high-accuracy tuning of poly(2-oxazoline) cloud…

Soft Condensed Matter · Physics 2019-01-01 Jatin N. Kumar , Qianxiao Li , Karen Y. T. Tang , Tonio Buonassisi , Anibal L. Gonzalez-Oyarce , Jun Ye

Microstructural materials design is one of the most important applications of inverse modeling in materials science. Generally speaking, there are two broad modeling paradigms in scientific applications: forward and inverse. While the…

Machine Learning · Computer Science 2021-01-27 Zijiang Yang , Dipendra Jha , Arindam Paul , Wei-keng Liao , Alok Choudhary , Ankit Agrawal

Deep learning is having a tremendous impact in many areas of computer science and engineering. Motivated by this success, deep neural networks are attracting an increasing attention in many other disciplines, including physical sciences. In…

High-energy collisions at the Large Hadron Collider (LHC) provide valuable insights into open questions in particle physics. However, detector effects must be corrected before measurements can be compared to certain theoretical predictions…

High Energy Physics - Experiment · Physics 2023-05-18 Alexander Shmakov , Kevin Greif , Michael Fenton , Aishik Ghosh , Pierre Baldi , Daniel Whiteson

This paper presents a new method of constructing physical models in a geophysical inverse problem, when there are only a few possible physical property values in the model and they are reasonably known but the geometry of the target is…

Geophysics · Physics 2015-01-28 Dikun Yang

Inverse design of morphing slender structures with programmable curvature has significant applications in various engineering fields. Most existing studies formulate it as an optimization problem, which requires repeatedly solving the…

Soft Condensed Matter · Physics 2025-08-28 JiaHao Li , Weicheng Huang , YinBo Zhu , Luxia Yu , Xiaohao Sun , Mingchao Liu , HengAn Wu

Discovering new physical products and processes often demands enormous experimentation and expensive simulation. To design a new product with certain target characteristics, an extensive search is performed in the design space by trying out…

Machine Learning · Statistics 2018-11-16 Phuoc Nguyen , Truyen Tran , Sunil Gupta , Santu Rana , Svetha Venkatesh

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

A wavelet scattering network computes a translation invariant image representation, which is stable to deformations and preserves high frequency information for classification. It cascades wavelet transform convolutions with non-linear…

Computer Vision and Pattern Recognition · Computer Science 2012-03-09 Joan Bruna , Stéphane Mallat

We study direct and inverse scattering problem for systems of interacting particles, having web-like structure. Such systems consist of a finite number of semi-infinite chains attached to the central part formed by a finite number of…

Spectral Theory · Mathematics 2016-12-19 Isaac Alvarez-Romero , Yurii Lyubarskii

The task of clustering unlabeled time series and sequences entails a particular set of challenges, namely to adequately model temporal relations and variable sequence lengths. If these challenges are not properly handled, the resulting…

Machine Learning · Statistics 2019-02-19 Daniel J. Trosten , Andreas S. Strauman , Michael Kampffmeyer , Robert Jenssen

We propose a Bayesian inference framework to estimate uncertainties in inverse scattering problems. Given the observed data, the forward model and their uncertainties, we find the posterior distribution over a finite parameter field…

Numerical Analysis · Mathematics 2020-11-17 Ana Carpio , Sergei Iakunin , Georg Stadler

A general machine learning architecture is introduced that uses wavelet scattering coefficients of an inputted three dimensional signal as features. Solid harmonic wavelet scattering transforms of three dimensional signals were previously…

Computational Physics · Physics 2019-01-30 Xavier Brumwell , Paul Sinz , Kwang Jin Kim , Yue Qi , Matthew Hirn