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Hyperspectral imaging is an important tool having been applied in various fields, but still limited in observation of dynamic scenes. In this paper, we propose a snapshot hyperspectral imaging technique which exploits both spectral and…

Instrumentation and Detectors · Physics 2018-12-26 Chao Deng , Xuemei Hu , Jinli Suo , Yuanlong Zhang , Zhili Zhang , Qionghai Dai

Unsupervised multimodal change detection is pivotal for time-sensitive tasks and comprehensive multi-temporal Earth monitoring. In this study, we explore unsupervised multimodal change detection between two key remote sensing data sources:…

Image and Video Processing · Electrical Eng. & Systems 2024-01-18 Hongruixuan Chen , Jian Song , Naoto Yokoya

Suppose that we observe noisy linear measurements of an unknown signal that can be modeled as the sum of two component signals, each of which arises from a nonlinear sub-manifold of a high dimensional ambient space. We introduce SPIN, a…

Information Theory · Computer Science 2012-06-11 Chinmay Hegde , Richard G. Baraniuk

The popularity and diffusion of wearable devices provides new opportunities for sensor-based human activity recognition that leverages deep learning-based algorithms. Although impressive advances have been made, two major challenges remain.…

Signal Processing · Electrical Eng. & Systems 2024-02-16 Mengna Liu , Dong Xiang , Xu Cheng , Xiufeng Liu , Dalin Zhang , Shengyong Chen , Christian S. Jensen

Recently, there has been much interest in spectral approaches to learning manifolds---so-called kernel eigenmap methods. These methods have had some successes, but their applicability is limited because they are not robust to noise. To…

Machine Learning · Computer Science 2012-06-22 Byron Boots , Geoff Gordon

Photometric stereo is a technique aimed at determining surface normals through the utilization of shading cues derived from images taken under different lighting conditions. However, existing learning-based approaches often fail to…

Computer Vision and Pattern Recognition · Computer Science 2025-10-30 Shiyu Qin , Zhihao Cai , Kaixuan Wang , Lin Qi , Junyu Dong

We propose a novel procedure for outlier detection in functional data, in a semi-supervised framework. As the data is functional, we consider the coefficients obtained after projecting the observations onto orthonormal bases (wavelet, PCA).…

Machine Learning · Statistics 2017-12-14 Clémentine Barreyre , Béatrice Laurent , Jean-Michel Loubes , Bertrand Cabon , Loïc Boussouf

We introduce a novel diffusion-based spectral algorithm to tackle regression analysis on high-dimensional data, particularly data embedded within lower-dimensional manifolds. Traditional spectral algorithms often fall short in such…

Machine Learning · Statistics 2024-10-21 Weichun Xia , Jiaxin Jiang , Lei Shi

In this paper we introduce a fully end-to-end approach for multi-spectral image registration and fusion. Our method for fusion combines images from different spectral channels into a single fused image by different approaches for low and…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Nati Ofir , Shai Silberstein , Dani Rozenbaum , Yosi Keller , Sharon Duvdevani Bar

In this paper, we combine the positive aspects of the Gradient Sampling (GS) and bundle methods, as the most efficient methods in nonsmooth optimization, to develop a robust method for solving unconstrained nonsmooth convex optimization…

Optimization and Control · Mathematics 2019-11-26 M. Maleknia , M. Shamsi

We propose a compact and effective framework to fuse multimodal features at multiple layers in a single network. The framework consists of two innovative fusion schemes. Firstly, unlike existing multimodal methods that necessitate…

Computer Vision and Pattern Recognition · Computer Science 2021-08-12 Yikai Wang , Fuchun Sun , Ming Lu , Anbang Yao

Bayesian methods are developed for the multivariate nonparametric regression problem where the domain is taken to be a compact Riemannian manifold. In terms of the latter, the underlying geometry of the manifold induces certain symmetries…

Statistics Theory · Mathematics 2007-06-13 Jean-François Angers , Peter T. Kim

In this paper, we introduce a method known as polynomial frame approximation for approximating smooth, multivariate functions defined on irregular domains in $d$ dimensions, where $d$ can be arbitrary. This method is simple, and relies only…

Numerical Analysis · Mathematics 2020-05-27 Ben Adcock , Daan Huybrechs

Multispectral imaging aims at recording images in different spectral bands. This is extremely beneficial in diverse discrimination applications, for example in agriculture, recycling or healthcare. One approach for snapshot multispectral…

Image and Video Processing · Electrical Eng. & Systems 2024-06-18 Frank Sippel , Jürgen Seiler , André Kaup

A univariate continuous function can always be decomposed as the sum of a non-increasing function and a non-decreasing one. Based on this property, we propose a non-parametric regression method that combines two spline-fitted monotone…

Methodology · Statistics 2024-04-11 Lijun Wang , Xiaodan Fan , Hongyu Zhao , Jun S. Liu

In this work, we investigate a class of elliptic inverse problems and aim to simultaneously recover multiple inhomogeneous inclusions arising from two different physical parameters, using very limited boundary Cauchy data collected only at…

Numerical Analysis · Mathematics 2020-06-05 Yat Tin Chow , Fuqun Han , Jun Zou

We propose a novel approach for change-point detection and parameter learning in multivariate non-stationary time series exhibiting oscillatory behaviour. We approximate the process through a piecewise function defined by a sum of…

Methodology · Statistics 2026-02-02 Nicolas Bianco , Lorenzo Cappello

We discuss a general framework for recovering edges in piecewise smooth functions with finitely many jump discontinuities, where $[f](x):=f(x+)-f(x-) \neq 0$. Our approach is based on two main aspects--localization using appropriate…

Numerical Analysis · Mathematics 2025-10-20 Anne Gelb , Eitan Tadmor

Snapshot mosaic multispectral imagery acquires an undersampled data cube by acquiring a single spectral measurement per spatial pixel. Sensors which acquire $p$ frequencies, therefore, suffer from severe $1/p$ undersampling of the full data…

Computer Vision and Pattern Recognition · Computer Science 2019-11-26 Giancarlo A. Antonucci , Simon Vary , David Humphreys , Robert A. Lamb , Jonathan Piper , Jared Tanner

Maximally Smooth Functions (MSFs) are a form of constrained functions in which there are no inflection points or zero crossings in high order derivatives. Consequently, they have applications to signal recovery in experiments where signals…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-01 H. T. J. Bevins , W. J. Handley , A. Fialkov , E. de Lera Acedo , L. J. Greenhill , D. C. Price