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A wave view of the universe is proposed in which each natural phenomenon is equipped with its own unique natural viewing lens. A self-sameness modeling principle and its systematic application in Fourier-Laplace transform space is proposed…

数值分析 · 数学 2021-07-16 D. P. Clemence-Mkhope

Multimodal manifold modeling methods extend the spectral geometry-aware data analysis to learning from several related and complementary modalities. Most of these methods work based on two major assumptions: 1) there are the same number of…

机器学习 · 计算机科学 2021-05-13 Maysam Behmanesh , Peyman Adibi , Jocelyn Chanussot , Sayyed Mohammad Saeed Ehsani

Mean-field Langevin dynamics (MLFD) is a class of interacting particle methods that tackle convex optimization over probability measures on a manifold, which are scalable, versatile, and enjoy computational guarantees. However, some…

最优化与控制 · 数学 2025-01-03 Guillaume Wang , Alireza Mousavi-Hosseini , Lénaïc Chizat

Dynamic mode decomposition (DMD) provides a principled approach to extract physically interpretable spatial modes from time-resolved flow field data, along with a linear model for how the amplitudes of these modes evolve in time. Recently,…

流体动力学 · 物理学 2020-07-29 Aditya G. Nair , Benjamin Strom , Bingni W. Brunton , Steven L. Brunton

Poor resolution of ultrasound images due to convolution of the tissue reflectivity function (TRF) with the system point spread function (PSF) is a major issue in medical ultrasound imaging. In this paper, we propose a correlation…

信号处理 · 电气工程与系统科学 2018-06-08 Jayanta Dey , Md. Kamrul Hasan

Deep neural networks have demonstrated highly competitive performance in super-resolution (SR) for natural images by learning mappings from low-resolution (LR) to high-resolution (HR) images. However, hyperspectral super-resolution remains…

图像与视频处理 · 电气工程与系统科学 2025-05-02 Usman Muhammad , Jorma Laaksonen , Lyudmila Mihaylova

In this paper, we introduce a new way of constructing and decoding multipermutation codes. Multipermutations are permutations of a multiset that generally consist of duplicate entries. We first introduce a class of binary matrices called…

信息论 · 计算机科学 2015-07-29 Xishuo Liu , Stark C. Draper

Diversity maximization is an important concept in information retrieval, computational geometry and operations research. Usually, it is a variant of the following problem: Given a ground set, constraints, and a function $f(\cdot)$ that…

数据结构与算法 · 计算机科学 2015-11-24 Alfonso Cevallos , Friedrich Eisenbrand , Rico Zenklusen

Marine Controlled Source Electromagnetic (CSEM) is employed both in large-scale geophysical applications as well as within exploration of hydrocarbons and gas hydrates. Due to the diffusive character of the EM field only very low…

地球物理 · 物理学 2022-11-08 Feng-Ping Li , Vemund Stenbekk Thorkildsen , Leiv-J Gelius , Jian-Hua Yue

Benders decomposition is a widely used method for solving large optimization problems, but its performance is often hindered by the repeated solution of subproblems. We propose a flexible and modular algorithmic framework for accelerating…

最优化与控制 · 数学 2025-08-05 Parth Brahmbhatt , David L. Cole , Victor M. Zavala , Styliani Avraamidou

Wavefront stabilization is a fundamental challenge to high contrast imaging of exoplanets. For both space and ground observations, wavefront control performance is ultimately limited by the finite amount of starlight available for sensing,…

天体物理仪器与方法 · 物理学 2017-06-23 Olivier Guyon , Kelsey Miller , Jared Males , Ruslan Belikov , Brian Kern

Autism Spectrum Disorder (ASD) is a complicated neurological condition which is challenging to diagnose. Numerous studies demonstrate that children diagnosed with autism struggle with maintaining attention spans and have less focused…

Linear Discriminant Analysis (LDA) is a well-known method for dimensionality reduction and classification. Previous studies have also extended the binary-class case into multi-classes. However, many applications, such as object detection…

机器学习 · 计算机科学 2013-09-24 Gang Chen

When binary linear error-correcting codes are used over symmetric channels, a relaxed version of the maximum likelihood decoding problem can be stated as a linear program (LP). This LP decoder can be used to decode error-correcting codes at…

信息论 · 计算机科学 2013-09-24 Siddharth Barman , Xishuo Liu , Stark C. Draper , Benjamin Recht

Facial reduction (FR) is an important tool in linear and semidefinite programming, providing both algorithmic and theoretical insights into these problems. The maximum length of an FR sequence for a convex set is referred to as the maximum…

最优化与控制 · 数学 2025-03-20 Hao Hu

Phaseless super-resolution is the problem of recovering an unknown signal from measurements of the magnitudes of the low frequency Fourier transform of the signal. This problem arises in applications where measuring the phase, and making…

信息论 · 计算机科学 2017-01-16 Fariborz Salehi , Kishore Jaganathan , Babak Hassibi

The definition of Linear Symmetry-Based Disentanglement (LSBD) proposed by (Higgins et al., 2018) outlines the properties that should characterize a disentangled representation that captures the symmetries of data. However, it is not clear…

机器学习 · 计算机科学 2020-11-30 Luis A. Pérez Rey , Loek Tonnaer , Vlado Menkovski , Mike Holenderski , Jacobus W. Portegies

Many areas of optical science require an accurate measurement of optical spectra. Devices based on laser speckle promise compact wavelength measurement, with attometer-level sensitivity demonstrated for single wavelength laser fields. The…

Multispectral pedestrian detection is attractive for around-the-clock applications due to the complementary information between RGB and thermal modalities. However, current models often fail to detect pedestrians in certain cases (e.g.,…

计算机视觉与模式识别 · 计算机科学 2025-01-09 Taeheon Kim , Sangyun Chung , Damin Yeom , Youngjoon Yu , Hak Gu Kim , Yong Man Ro

We consider a general spectral coexistence scenario, wherein the channels and transmit signals of both radar and communications systems are unknown at the receiver. In this \textit{dual-blind deconvolution} (DBD) problem, a common receiver…

信号处理 · 电气工程与系统科学 2021-11-12 Edwin Vargas , Kumar Vijay Mishra , Roman Jacome , Brian M. Sadler , Henry Arguello