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We show that passing input points through a simple Fourier feature mapping enables a multilayer perceptron (MLP) to learn high-frequency functions in low-dimensional problem domains. These results shed light on recent advances in computer…

Computer Vision and Pattern Recognition · Computer Science 2020-06-19 Matthew Tancik , Pratul P. Srinivasan , Ben Mildenhall , Sara Fridovich-Keil , Nithin Raghavan , Utkarsh Singhal , Ravi Ramamoorthi , Jonathan T. Barron , Ren Ng

For astronomical instruments, accurate knowledge of the optical pointing and coupling are essential to characterize the alignment and performance of (sub-)systems prior to integration and deployment. Ideally, this requires the phase…

Instrumentation and Methods for Astrophysics · Physics 2020-02-11 S. J. C. Yates , K. K. Davis , W. Jellema , J. J. A. Baselmans , A. M. Baryshev

We describe the drift field in thick depleted silicon sensors as a superposition of a one-dimensional backdrop field and various three-dimensional perturbative contributions that are physically motivated. We compute trajectories for the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 Andrew Rasmussen

Multimode fibers (MMFs) can transmit multiple guided modes simultaneously, making them a promising platform for high-resolution biomedical imaging, endoscopy and high-bandwidth optical communication. However, their complex modal behavior,…

Optics · Physics 2026-05-28 Dvir Marsh , Lior Fridman , Stav Lotan , Amit Kam , Shie Mannor , Guy Bartal

We present a novel method to provide efficient and highly detailed reconstructions. Inspired by wavelets, we learn a neural field that decompose the signal both spatially and frequency-wise. We follow the recent grid-based paradigm for…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Zhijie Wu , Yuhe Jin , Kwang Moo Yi

Modeling future traffic conditions often relies heavily on complex spatial-temporal neural networks to capture spatial and temporal correlations, which can overlook the inherent noise in the data. This noise, often manifesting as unexpected…

Machine Learning · Computer Science 2023-10-26 Yuanshao Zhu , Yongchao Ye , Xiangyu Zhao , James J. Q. Yu

Unsupervised image registration commonly adopts U-Net style networks to predict dense displacement fields in the full-resolution spatial domain. For high-resolution volumetric image data, this process is however resource-intensive and…

Computer Vision and Pattern Recognition · Computer Science 2023-07-07 Xi Jia , Joseph Bartlett , Wei Chen , Siyang Song , Tianyang Zhang , Xinxing Cheng , Wenqi Lu , Zhaowen Qiu , Jinming Duan

When multimode optical fibers are perturbed, the data that is transmitted through them is scrambled. This presents a major difficulty for many possible applications, such as multimode fiber-based telecommunication and endoscopy. To overcome…

Image and Video Processing · Electrical Eng. & Systems 2022-02-17 Shachar Resisi , Sebastien M. Popoff , Yaron Bromberg

In the domain of disordered photonics, the characterization of optically opaque materials for light manipulation and imaging is a primary aim. Among various complex devices, multi-mode optical fibers stand out as cost-effective and…

This work demonstrates a computational method for predicting the light propagation through a single multimode fiber using a deep neural network. The experiment for gathering training and testing data is performed with a digital micro-mirror…

Optics · Physics 2018-12-10 Pengfei Fan , Liang Deng , Lei Su

Multilayer perceptrons (MLPs) learn high frequencies slowly. Recent approaches encode features in spatial bins to improve speed of learning details, but at the cost of larger model size and loss of continuity. Instead, we propose to encode…

Computer Vision and Pattern Recognition · Computer Science 2022-12-05 Jae Yong Lee , Yuqun Wu , Chuhang Zou , Shenlong Wang , Derek Hoiem

A low-complexity model for signal quality prediction in a nonlinear fiber-optical network is developed. The model, which builds on the Gaussian noise model, takes into account the signal degradation caused by a combination of chromatic…

Optics · Physics 2015-01-07 Pontus Johannisson , Erik Agrell

Accurate spectrum prediction is crucial for dynamic spectrum access (DSA) and resource allocation. However, due to the unique characteristics of spectrum data, existing methods based on the time or frequency domain often struggle to…

Machine Learning · Computer Science 2025-08-26 Yanghao Qin , Bo Zhou , Guangliang Pan , Qihui Wu , Meixia Tao

We investigate a method to retrieve full-complex models (Transmission Matrix and Neural Network) of a highly multimode fiber (140 LP modes/polarization) using a straightforward machine learning approach, without the need of a reference…

To comprehensively assess optical fiber communication system conditions, it is essential to implement joint estimation of the following four critical impairments: nonlinear signal-to-noise ratio (SNRNL), optical signal-to-noise ratio…

Signal Processing · Electrical Eng. & Systems 2023-08-29 Ting Jiang , Zheng Gao , Yizhao Chen , Zihe Hu , Ming Tang

Neural networks trained with gradient-based methods exhibit a strong simplicity bias: they learn simpler statistical features of their data before moving to more complex features. Previous analyses of this phenomenon have largely focused on…

Machine Learning · Statistics 2026-05-19 Fabiola Ricci , Claudia Merger , Sebastian Goldt

Propagation modeling is a crucial tool for successful wireless deployments and spectrum planning with the demand for high modeling accuracy continuing to grow. Recognizing that detailed knowledge of the physical environment (terrain and…

Machine Learning · Computer Science 2024-05-30 Jonathan Ethier , Mathieu Chateauvert

The study of neural networks from the perspective of Fourier features has garnered significant attention. While existing analytical research suggests that neural networks tend to learn low-frequency features, a clear attribution method for…

Machine Learning · Computer Science 2025-07-16 Zechen Liu , Feiyang Zhang , Wei Song , Xiang Li , Wei Wei

Optical aberrations prevent telescopes from reaching their theoretical diffraction limit. Once estimated, these aberrations can be compensated for using deformable mirrors in a closed loop. Focal plane wavefront sensing enables the…

Multimode fiber (MMF) imaging aided by machine learning holds promise for numerous applications, including medical endoscopy. A key challenge for this technology is the sensitivity of modal transmission characteristics to environmental…

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