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In this report we investigate fundamental requirements for the application of classifier patching on neural networks. Neural network patching is an approach for adapting neural network models to handle concept drift in nonstationary…

Machine Learning · Computer Science 2019-01-17 Sebastian Kauschke , David Hermann Lehmann

We propose and show the efficacy of a new method to address generic inverse problems. Inverse modeling is the task whereby one seeks to determine the control parameters of a natural system that produce a given set of observed measurements.…

Machine Learning · Computer Science 2023-08-15 Gregory P. Spell , Simiao Ren , Leslie M. Collins , Jordan M. Malof

The inverse scattering problem is of critical importance in a number of fields, including medical imaging, sonar, sensing, non-destructive evaluation, and several others. The problem of interest can vary from detecting the shape to the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Doga Dikbayir , Abdel Alsnayyan , Vishnu Naresh Boddeti , Balasubramaniam Shanker , Hasan Metin Aktulga

In this letter, motivated by the question that whether the empirical fitting of data by neural network can yield the same structure of physical laws, we apply the neural network to a simple quantum mechanical two-body scattering problem…

Computational Physics · Physics 2018-08-08 Yadong Wu , Pengfei Zhang , Huitao Shen , Hui Zhai

Solving the wave equation is essential to seismic imaging and inversion. The numerical solution of the Helmholtz equation, fundamental to this process, often encounters significant computational and memory challenges. We propose an…

Geophysics · Physics 2025-04-01 Xinquan Huang , Tariq Alkhalifah

The demand for inverse design is increasing as the ability to fabricate sub-10 nm features expands the design space by orders of magnitude. Efficient inverse design benefits from differentiable models of light-structure interaction. While…

Matching, a task to optimally assign limited resources under constraints, is a fundamental technology for society. The task potentially has various objectives, conditions, and constraints; however, the efficient neural network architecture…

Machine Learning · Computer Science 2023-10-20 Shusaku Sone , Jiaxin Ma , Atsushi Hashimoto , Naoya Chiba , Yoshitaka Ushiku

In this work, we consider the inverse electromagnetic scattering problem for a magneto-dielectric cylinder covering an impedance cylinder of arbitrary shape. We solve it by introducing a divide-and-conquer framework using specially designed…

Numerical Analysis · Mathematics 2025-11-27 Leonidas Mindrinos , Nikolaos Pallikarakis , Nikolaos L Tsitsas

Neural networks are increasingly used as fast surrogate models across various domains, but unconstrained predictions can violate physical, operational, or safety requirements. We propose SnareNet, a feasibility-controlled architecture to…

Machine Learning · Computer Science 2026-05-12 Ya-Chi Chu , Alkiviades Boukas , Madeleine Udell

This work develops a flexible and mathematically sound framework for the design and analysis of graph scattering networks with variable branching ratios and generic functional calculus filters. Spectrally-agnostic stability guarantees for…

Machine Learning · Computer Science 2023-01-30 Christian Koke , Gitta Kutyniok

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

It has been proven that transfer learning provides an easy way to achieve state-of-the-art accuracies on several vision tasks by training a simple classifier on top of features obtained from pre-trained neural networks. The goal of this…

Machine Learning · Computer Science 2016-06-07 Milad Mohammadi , Subhasis Das

Deep neural networks (DNNs) have recently been applied to inverse scattering problems (ISPs) due to their strong nonlinear mapping capabilities. However, supervised DNN solvers require large-scale datasets, which limits their generalization…

Machine Learning · Computer Science 2026-01-28 Yutong Du , Zicheng Liu

Optical imaging through complex media, such as biological tissues or fog, is challenging due to light scattering. In the multiple scattering regime, wavefront shaping provides an effective method to retrieve information; it relies on…

Encoding constraints into neural networks is attractive. This paper studies how to introduce the popular positive linear satisfiability to neural networks. We propose the first differentiable satisfiability layer based on an extension of…

Artificial Intelligence · Computer Science 2024-07-22 Runzhong Wang , Yunhao Zhang , Ziao Guo , Tianyi Chen , Xiaokang Yang , Junchi Yan

Convolutional neural networks (CNNs) have been shown to both extract more information than the traditional two-point statistics from cosmological fields, and marginalise over astrophysical effects extremely well. However, CNNs require large…

Instrumentation and Methods for Astrophysics · Physics 2023-07-28 Christian Pedersen , Michael Eickenberg , Shirley Ho

This paper is concerned with time domain forward scattering and inverse scattering problems with a single moving point source as the emitter. Approximate solutions are provided for the forward scattering problem with a moving emitter.…

Numerical Analysis · Mathematics 2025-10-13 Yu Sun , Bo Chen , Peng Gao , Qiuyi Li , Yao Sun

A multitude of imaging and vision tasks have seen recently a major transformation by deep learning methods and in particular by the application of convolutional neural networks. These methods achieve impressive results, even for…

Computer Vision and Pattern Recognition · Computer Science 2018-11-30 Simon Arridge , Andreas Hauptmann

Inverse problems exist in many domains such as phase imaging, image processing, and computer vision. These problems are often solved with application-specific algorithms, even though their nature remains the same: mapping input image(s) to…

Computational Physics · Physics 2021-10-22 Feng Wang , Alberto Eljarrat , Johannes Müller , Trond Henninen , Erni Rolf , Christoph Koch

In many tasks, in particular in natural science, the goal is to determine hidden system parameters from a set of measurements. Often, the forward process from parameter- to measurement-space is a well-defined function, whereas the inverse…