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In recent years, transformer-based deep learning networks have gained popularity in Hyperspectral (HS) unmixing applications due to their superior performance. The attention mechanism within transformers facilitates input-dependent…

Due to low spatial resolution, hyperspectral data often consists of mixtures of contributions from multiple materials. This limitation motivates the task of hyperspectral unmixing (HU), a fundamental problem in hyperspectral imaging. HU…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Gokul Bhusal , Yifei Lou , Cristina Garcia-Cardona , Ekaterina Merkurjev

Change detection in heterogeneous multitemporal satellite images is an emerging and challenging topic in remote sensing. In particular, one of the main challenges is to tackle the problem in an unsupervised manner. In this paper we propose…

Computer Vision and Pattern Recognition · Computer Science 2020-01-08 Luigi T. Luppino , Filippo M. Bianchi , Gabriele Moser , Stian N. Anfinsen

We propose a novel Graph Neural Network-based method for segmentation based on data fusion of multimodal Scanning Electron Microscope (SEM) images. In most cases, Backscattered Electron (BSE) images obtained using SEM do not contain…

Computer Vision and Pattern Recognition · Computer Science 2025-06-24 Samuel Repka , Bořek Reich , Fedor Zolotarev , Tuomas Eerola , Pavel Zemčík

Spectral element methods (SEM), which are extensions of finite element methods (FEM), are important emerging techniques for solving partial differential equations in physics and engineering. SEM can potentially deliver better accuracy due…

Numerical Analysis · Mathematics 2023-04-28 Jacob Jones , Rebecca Conley , Xiangmin Jiao

For graph classification tasks, many traditional kernel methods focus on measuring the similarity between graphs. These methods have achieved great success on resolving graph isomorphism problems. However, in some classification problems,…

Machine Learning · Computer Science 2021-02-18 Jianming Huang , Hiroyuki Kasai

The solution of the elliptic partial differential equation has interface singularity at the points which are either the intersections of interfaces or the intersections of interfaces with the boundary of the domain. The singularities that…

Numerical Analysis · Mathematics 2020-03-05 N. Kishore Kumar , Pankaj Biswas , B. Seshadri Reddy

We study spectral algorithms in the setting where kernels are learned from data. We introduce the effective span dimension (ESD), an alignment-sensitive complexity measure that depends jointly on the signal, spectrum, and noise level…

Machine Learning · Computer Science 2026-05-12 Dongming Huang , Zhifan Li , Yicheng Li , Qian Lin

It is known that unsupervised nonlinear dimensionality reduction and clustering is sensitive to the selection of hyperparameters, particularly for deep learning based methods, which hinders its practical use. How to select a proper network…

Machine Learning · Computer Science 2022-08-30 Xiao-Lei Zhang

This paper presents a new Bayesian model and algorithm for nonlinear unmixing of hyperspectral images. The model proposed represents the pixel reflectances as linear combinations of the endmembers, corrupted by nonlinear (with respect to…

Methodology · Statistics 2015-10-06 Yoann Altmann , Marcelo Pereyra , Stephen McLaughlin

This paper presents three hyperspectral mixture models jointly with Bayesian algorithms for supervised hyperspectral unmixing. Based on the residual component analysis model, the proposed general formulation assumes the linear model to be…

Data Analysis, Statistics and Probability · Physics 2016-08-24 Abderrahim Halimi , Paul Honeine , Jose Bioucas-Dias

Entity Segmentation (ES) aims at identifying and segmenting distinct entities within an image without the need for predefined class labels. This characteristic makes ES well-suited to open-world applications with adaptation to diverse and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Weiming Zhang , Dingwen Xiao , Lei Chen , Lin Wang

The conformal formulation of the Einstein constraint equations is first reviewed, and we then consider the design, analysis, and implementation of adaptive multilevel finite element-type numerical methods for the resulting coupled nonlinear…

General Relativity and Quantum Cosmology · Physics 2009-04-07 Burak Aksoylu , David Bernstein , Stephen Bond , Michael Holst

A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

Social and Information Networks · Computer Science 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne

Group-based brain connectivity networks have great appeal for researchers interested in gaining further insight into complex brain function and how it changes across different mental states and disease conditions. Accurately constructing…

Applications · Statistics 2013-03-05 Sean L. Simpson , Malaak N. Moussa , Paul J. Laurienti

We used numerical simulations based on the finite element method (FEM) to calculate both the amplitude and phase information of the scattered electric field from random rough surfaces, which can be directly compared to ellipsometric…

Computational Physics · Physics 2019-02-27 B. Fodor , P. Kozma , S. Burger , M. Fried , P. Petrik

We define a general class of network formation models, Statistical Exponential Random Graph Models (SERGMs), that nest standard exponential random graph models (ERGMs) as a special case. We provide the first general results on when these…

Physics and Society · Physics 2014-06-26 Arun G. Chandrasekhar , Matthew O. Jackson

The crowd counting task aims at estimating the number of people located in an image or a frame from videos. Existing methods widely adopt density maps as the training targets to optimize the point-to-point loss. While in testing phase, we…

Computer Vision and Pattern Recognition · Computer Science 2020-05-14 Xiyang Liu , Jie Yang , Wenrui Ding

Hyperspectral unmixing is one of the crucial steps for many hyperspectral applications. The problem of hyperspectral unmixing has proven to be a difficult task in unsupervised work settings where the endmembers and abundances are both…

Computer Vision and Pattern Recognition · Computer Science 2013-06-03 Ying Wang , Chunhong Pan , Shiming Xiang , Feiyun Zhu

We consider general Exponential Random Graph Models (ERGMs) where the sufficient statistics are functions of homomorphism counts for a fixed collection of simple graphs $F_k$. Whereas previous work has shown a degeneracy phenomenon in dense…

Probability · Mathematics 2024-04-04 Nicholas A. Cook , Amir Dembo