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In this paper we present a hybrid approach to numerically solve two-dimensional electromagnetic inverse scattering problems, whereby the unknown scatterer is hosted by a possibly inhomogeneous background. The approach is `hybrid' in that it…

Analysis of PDEs · Mathematics 2012-10-22 G. Giorgi , M. Brignone , R. Aramini , M. Piana

We introduce techniques for rapidly transferring the information stored in one neural net into another neural net. The main purpose is to accelerate the training of a significantly larger neural net. During real-world workflows, one often…

Machine Learning · Computer Science 2016-04-26 Tianqi Chen , Ian Goodfellow , Jonathon Shlens

Spiking neural networks (SNNs) exhibit superior energy efficiency but suffer from limited performance. In this paper, we consider SNNs as ensembles of temporal subnetworks that share architectures and weights, and highlight a crucial issue…

Machine Learning · Computer Science 2025-02-21 Yongqi Ding , Lin Zuo , Mengmeng Jing , Pei He , Hanpu Deng

Strong scattering medium brings great difficulties to optical imaging, which is also a problem in medical imaging and many other fields. Optical memory effect makes it possible to image through strong random scattering medium. However, this…

Image and Video Processing · Electrical Eng. & Systems 2020-02-19 Enlai Guo , Shuo Zhu , Yan Sun , Lianfa Bai , Jing Han

In this work, we tackle two widespread challenges in real applications for time-series forecasting that have been largely understudied: distribution shifts and missing data. We propose SpectraNet, a novel multivariate time-series…

Machine Learning · Computer Science 2022-10-26 Cristian Challu , Peihong Jiang , Ying Nian Wu , Laurent Callot

Estimating the uncertainty in deep neural network predictions is crucial for many real-world applications. A common approach to model uncertainty is to choose a parametric distribution and fit the data to it using maximum likelihood…

Machine Learning · Computer Science 2022-11-28 Ali Harakeh , Jordan Hu , Naiqing Guan , Steven L. Waslander , Liam Paull

Recently deep neural networks (DNNs) have been successfully introduced to the field of lensless imaging through scattering media. By solving an inverse problem in computational imaging, DNNs can overcome several shortcomings in the…

Image and Video Processing · Electrical Eng. & Systems 2020-01-01 Yukuan Yang , Lei Deng , Peng Jiao , Yansong Chua , Jing Pei , Cheng Ma , Guoqi Li

Consider an exterior problem of the three-dimensional elastic wave equation, which models the scattering of a time-harmonic plane wave by a rigid obstacle. The scattering problem is reformulated into a boundary value problem by introducing…

Analysis of PDEs · Mathematics 2017-09-07 Peijun Li , Xiaokai Yuan

Traditional neural networks assume vectorial inputs as the network is arranged as layers of single line of computing units called neurons. This special structure requires the non-vectorial inputs such as matrices to be converted into…

Machine Learning · Computer Science 2016-12-12 Junbin Gao , Yi Guo , Zhiyong Wang

In integrated circuit design, the analysis of wafer map patterns is critical to improve yield and detect manufacturing issues. We develop Wafer2Spike, an architecture for wafer map pattern classification using a spiking neural network…

Neural and Evolutionary Computing · Computer Science 2024-12-02 Abhishek Mishra , Suman Kumar , Anush Lingamoorthy , Anup Das , Nagarajan Kandasamy

We consider the problem of reconstructing the shape of an impenetrable sound-soft obstacle from scattering measurements. The input data is assumed to be the far-field pattern generated when a plane wave impinges on an unknown obstacle from…

Numerical Analysis · Mathematics 2015-05-28 Carlos Borges , Leslie Greengard

In a desired environmental protection system, groundwater may not be excluded. In addition to the problem of over-exploitation, in total disagreement with the concept of sustainable development, another not negligible issue concerns the…

Machine Learning · Computer Science 2022-07-21 Daniele Secci , Laura Molino , Andrea Zanini

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

This study presents a deep learning based methodology for both remote sensing and design of acoustic scatterers. The ability to determine the shape of a scatterer, either in the context of material design or sensing, plays a critical role…

Computational Physics · Physics 2023-06-30 Siddharth Nair , Timothy F. Walsh , Greg Pickrell , Fabio Semperlotti

Objective: The present study introduces a fractional wavelet scattering network (FrScatNet), which is a generalized translation invariant version of the classical wavelet scattering network (ScatNet). Methods: In our approach, the FrScatNet…

Computer Vision and Pattern Recognition · Computer Science 2018-07-03 Li Liu , Jiasong Wu , Dengwang Li , Lotfi Senhadji , Huazhong Shu

We consider an inverse elastic scattering problem of simultaneously reconstructing a rigid obstacle and the excitation sources using near-field measurements. A two-phase numerical method is proposed to achieve the co-inversion of multiple…

Numerical Analysis · Mathematics 2023-07-19 Yan Chang , Yukun Guo , Hongyu Liu , Deyue Zhang

Spiking neural networks (SNNs) represent a promising approach in machine learning, combining the hierarchical learning capabilities of deep neural networks with the energy efficiency of spike-based computations. Traditional end-to-end…

Neural and Evolutionary Computing · Computer Science 2024-11-12 Ruyin Wan , Qian Zhang , George Em Karniadakis

U-Nets are a go-to, state-of-the-art neural architecture across numerous tasks for continuous signals on a square such as images and Partial Differential Equations (PDE), however their design and architecture is understudied. In this paper,…

The last mile connection is dominated by wireless links where heterogeneous nodes share the limited and already crowded electromagnetic spectrum. Current contention based decentralized wireless access system is reactive in nature to…

Networking and Internet Architecture · Computer Science 2020-02-03 Shuvam Chakraborty , Hesham Mohammed , Dola Saha

Simulation-based ultrasound training can be an essential educational tool. Realistic ultrasound image appearance with typical speckle texture can be modeled as convolution of a point spread function with point scatterers representing tissue…

Computer Vision and Pattern Recognition · Computer Science 2020-06-19 Lin Zhang , Valery Vishnevskiy , Orcun Goksel