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Hidden Markov Models (HMMs) can be accurately approximated using co-occurrence frequencies of pairs and triples of observations by using a fast spectral method in contrast to the usual slow methods like EM or Gibbs sampling. We provide a…

Machine Learning · Statistics 2012-03-29 Dean P. Foster , Jordan Rodu , Lyle H. Ungar

Nonlinear hyperspectral unmixing has recently received considerable attention, as linear mixture models do not lead to an acceptable resolution in some problems. In fact, most nonlinear unmixing methods are designed by assuming specific…

Image and Video Processing · Electrical Eng. & Systems 2024-02-07 Saeid Mehrdad , Seyed AmirHossein Janani

Purpose: To present a computational procedure for accelerated, calibrationless magnetic resonance image (Cl-MRI) reconstruction that is fast, memory efficient, and scales to high-dimensional imaging. Theory and Methods: Cl-MRI methods can…

Image and Video Processing · Electrical Eng. & Systems 2021-07-23 Shen Zhao , Lee C. Potter , Rizwan Ahmad

The $\mathcal{VU}$-algorithm is a superlinearly convergent method for minimizing nonsmooth, convex functions. At each iteration, the algorithm works with a certain $\mathcal{V}$-space and its orthogonal $\U$-space, such that the…

Optimization and Control · Mathematics 2019-03-28 Warren Hare , Chayne Planiden , Claudia Sagastizábal

The bilateral and nonlocal means filters are instances of kernel-based filters that are popularly used in image processing. It was recently shown that fast and accurate bilateral filtering of grayscale images can be performed using a…

Computer Vision and Pattern Recognition · Computer Science 2019-02-20 Pravin Nair , Kunal N. Chaudhury

Blind source separation is a common processing tool to analyse the constitution of pixels of hyperspectral images. Such methods usually suppose that pure pixel spectra (endmembers) are the same in all the image for each class of materials.…

Methodology · Statistics 2022-10-03 Charlotte Revel , Yannick Deville , Véronique Achard , Xavier Briottet

In recent years, spectral clustering has become one of the most popular clustering algorithms for image segmentation. However, it has restricted applicability to large-scale images due to its high computational complexity. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2018-12-13 Chongyang Zhang , Guofeng Zhu , Minxin Chen , Hong Chen , Chenjian Wu

Hyperspectral unmixing is a blind source separation problem which consists in estimating the reference spectral signatures contained in a hyperspectral image, as well as their relative contribution to each pixel according to a given mixture…

Data Analysis, Statistics and Probability · Physics 2017-11-21 Pierre-Antoine Thouvenin , Nicolas Dobigeon , Jean-Yves Tourneret

Transcript enumeration methods such as SAGE, MPSS, and sequencing-by-synthesis EST ``digital northern'', are important high-throughput techniques for digital gene expression measurement. As other counting or voting processes, these…

Quantitative Methods · Quantitative Biology 2013-10-29 Ricardo ZN Vêncio , Leonardo Varuzza , Carlos AB Pereira , Helena Brentani , Ilya Shmulevich

In the large-scale image retrieval task, the two most important requirements are the discriminability of image representations and the efficiency in computation and storage of representations. Regarding the former requirement, Convolutional…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Thanh-Toan Do , Tuan Hoang , Dang-Khoa Le Tan , Huu Le , Tam V. Nguyen , Ngai-Man Cheung

Cosmological N-body simulations are crucial for understanding how the Universe evolves. Studying large-scale distributions of matter in these simulations and comparing them to observations usually involves detecting dense clusters of…

Astrophysics of Galaxies · Physics 2019-12-25 Aidan Reilly , Nikita Ivkin , Gerard Lemson , Vladimir Braverman , Alexander Szalay

Accurate predictions of the abundance and clustering of dark matter haloes play a key role in testing the standard cosmological model. Here, we investigate the accuracy of one of the leading methods of connecting the simulated dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-15 Anatoly Klypin , Francisco Prada , Gustavo Yepes , Steffen Hess , Stefan Gottlober

Although considerable effort has been dedicated to improving the solution to the hyperspectral unmixing problem, non-idealities such as complex radiation scattering and endmember variability negatively impact the performance of most…

Image and Video Processing · Electrical Eng. & Systems 2023-10-05 Ricardo Augusto Borsoi , Deniz Erdoğmuş , Tales Imbiriba

Hyperdimensional Computing (HDC) represents data using extremely high-dimensional, low-precision vectors, termed hypervectors (HVs), and performs learning and inference through lightweight, noise-tolerant operations. However, the high…

Hardware Architecture · Computer Science 2026-01-29 Dhruv Parikh , Jebacyril Arockiaraj , Viktor Prasanna

We propose a new approach to the computation of the hypervolume indicator, based on partitioning the dominated region into a set of axis-parallel hyperrectangles or boxes. We present a nonincremental algorithm and an incremental algorithm,…

Discrete Mathematics · Computer Science 2015-10-09 Renaud Lacour , Kathrin Klamroth , Carlos M. Fonseca

Spectral clustering uses the global information embedded in eigenvectors of an inter-item similarity matrix to correctly identify clusters of irregular shape, an ability lacking in commonly used approaches such as k-means and agglomerative…

Data Analysis, Statistics and Probability · Physics 2010-01-18 Brian White , David Shalloway

Deep learning-based (DL-based) hyperspectral image (HIS) super-resolution (SR) methods have achieved remarkable performance and attracted attention in industry and academia. Nonetheless, most current methods explored and learned the mapping…

Image and Video Processing · Electrical Eng. & Systems 2024-07-10 Yang Yu

Currently, this paper is under review in IEEE. Transformers have intrigued the vision research community with their state-of-the-art performance in natural language processing. With their superior performance, transformers have found their…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Preetam Ghosh , Swalpa Kumar Roy , Bikram Koirala , Behnood Rasti , Paul Scheunders

Efficient feature learning with Convolutional Neural Networks (CNNs) constitutes an increasingly imperative property since several challenging tasks of computer vision tend to require cascade schemes and modalities fusion. Feature learning…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Ioannis Kansizoglou , Nicholas Santavas , Loukas Bampis , Antonios Gasteratos

The blind image deconvolution is a challenging, highly ill-posed nonlinear inverse problem. We introduce a Multiscale Hierarchical Decomposition Method (MHDM) that is iteratively solving variational problems with adaptive data and…

Numerical Analysis · Mathematics 2025-08-21 Tobias Wolf , Stefan Kindermann , Elena Resmerita , Luminita Vese