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We present a parallel version of the well-known Split-Step Fourier method (SSF) for solving the Nonlinear Schr\"odinger equation, a mathematical model describing wave packet propagation in fiber optic lines. The algorithm is implemented…

Computational Physics · Physics 2007-05-23 S. M. Zoldi , V. Ruban , A. Zenchuk , S. Burtsev

In this paper we consider Sparse Fourier Transform (SFT) algorithms for approximately computing the best $s$-term approximation of the Discrete Fourier Transform (DFT) $\mathbf{\hat{f}} \in \mathbb{C}^N$ of any given input vector…

Numerical Analysis · Mathematics 2017-06-12 Sami Merhi , Ruochuan Zhang , Mark A. Iwen , Andrew Christlieb

The kernel embedding algorithm is an important component for adapting kernel methods to large datasets. Since the algorithm consumes a major computation cost in the testing phase, we propose a novel teacher-learner framework of learning…

Machine Learning · Statistics 2017-12-08 Jianqiao Wangni , Jingwei Zhuo , Jun Zhu

A common problem in cosmology is to integrate the product of two or more spherical Bessel functions (sBFs) with different configuration-space arguments against the power spectrum or its square, weighted by powers of wavenumber. Naively…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-03 Zachary Slepian , Yin Li , Marcel Schmittfull , Zvonimir Vlah

Unsupervised/self-supervised time series representation learning is a challenging problem because of its complex dynamics and sparse annotations. Existing works mainly adopt the framework of contrastive learning with the time-based…

Machine Learning · Computer Science 2022-05-31 Ling Yang , Shenda Hong

The point spread function (PSF) serves as a fundamental descriptor linking the real-world scene to the captured signal, manifesting as camera blur. Accurate PSF estimation is crucial for both optical characterization and computational…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Jiajian He , Enjie Hu , Shiqi Chen , Tianchen Qiu , Huajun Feng , Zhihai Xu , Yueting Chen

Increasing concerns on intelligent spectrum sensing call for efficient training and inference technologies. In this paper, we propose a novel federated learning (FL) framework, dubbed federated spectrum learning (FSL), which exploits the…

Networking and Internet Architecture · Computer Science 2022-05-24 Bo Yang , Xuelin Cao , Chongwen Huang , Chau Yuen , Marco Di Renzo , Yong Liang Guan , Dusit Niyato , Lijun Qian , Merouane Debbah

Deploying 3D single-photon Lidar imaging in real world applications faces several challenges due to imaging in high noise environments and with sensors having limited resolution. This paper presents a deep learning algorithm based on…

Image and Video Processing · Electrical Eng. & Systems 2023-07-25 Abderrahim Halimi , Jakeoung Koo , Stephen McLaughlin

One of the beauties of the projected gradient descent method lies in its rather simple mechanism and yet stable behavior with inexact, stochastic gradients, which has led to its wide-spread use in many machine learning applications.…

Optimization and Control · Mathematics 2019-10-11 Mingrui Zhang , Zebang Shen , Aryan Mokhtari , Hamed Hassani , Amin Karbasi

Multi-exit network is a promising architecture for efficient model inference by sharing backbone networks and weights among multiple exits. However, the gradient conflict of the shared weights results in sub-optimal accuracy. This paper…

Computer Vision and Pattern Recognition · Computer Science 2024-08-13 Cheng Gong , Yao Chen , Qiuyang Luo , Ye Lu , Tao Li , Yuzhi Zhang , Yufei Sun , Le Zhang

We developed a Bessel light sheet fluorescence microscopy (LSFM) system to enable high-speed, wide-field intra-vital imaging of zebrafish and other thick biological samples. This system uses air objectives for the convenient mounting of…

Optics · Physics 2023-11-07 Chuhui Wang , Jiaju Chen , Cuiyi Peng , Zhenglin Chen , Dongmei Yu , Peiwu Qin

In this paper, we propose a unified algorithmic framework for solving many known variants of \mds. Our algorithm is a simple iterative scheme with guaranteed convergence, and is \emph{modular}; by changing the internals of a single…

Machine Learning · Computer Science 2010-03-31 Arvind Agarwal , Jeff M. Phillips , Suresh Venkatasubramanian

Rapid and accurate simulations of fluid dynamics around complicated geometric bodies are critical in a variety of engineering and scientific applications, including aerodynamics and biomedical flows. However, while scientific machine…

The distributed adaptive signal fusion (DASF) framework allows to solve spatial filtering optimization problems in a distributed and adaptive fashion over a bandwidth-constrained wireless sensor network. The DASF algorithm requires each…

Signal Processing · Electrical Eng. & Systems 2025-05-02 Cem Ates Musluoglu , Alexander Bertrand

Federated learning (FL) enables distributed training with private client data, but its convergence is hindered by system heterogeneity under realistic communication scenarios. Most FL schemes addressing system heterogeneity utilize global…

Machine Learning · Computer Science 2025-09-19 Keumseo Ryum , Jinu Gong , Joonhyuk Kang

We propose a novel framework for the systematic design of lensless imaging systems based on the hyperuniform random field solutions of nonlinear reaction-diffusion equations from pattern formation theory. Specifically, we introduce a new…

Optics · Physics 2021-11-03 Yuyao Chen , Wesley A. Britton , Luca Dal Negro

Compressive spectral imaging (CSI) has attracted significant attention since it employs synthetic apertures to codify spatial and spectral information, sensing only 2D projections of the 3D spectral image. However, these optical…

Image and Video Processing · Electrical Eng. & Systems 2023-06-28 Roman Jacome , Jorge Bacca , Henry Arguello

Application of deconvolution algorithms to astronomical images is often limited by variations in PSF structure over the domain of the images. One major difficulty is that Fourier methods can no longer be used for fast convolutions over the…

Astrophysics · Physics 2009-11-07 Tod R. Lauer

Representing 3D scenes from multiview images is a core challenge in computer vision and graphics, which requires both precise rendering and accurate reconstruction. Recently, 3D Gaussian Splatting (3DGS) has garnered significant attention…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 You Shen , Zhipeng Zhang , Xinyang Li , Yansong Qu , Yu Lin , Shengchuan Zhang , Liujuan Cao

Astrophysical images issued from different instruments and/or spectral bands often require to be processed together, either for fitting or comparison purposes. However each image is affected by an instrumental response, also known as PSF,…

Instrumentation and Methods for Astrophysics · Physics 2016-12-07 Alexandre Boucaud , Marco Bocchio , Alain Abergel , François Orieux , Hervé Dole , Mohamed Amine Hadj-Youcef