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Matching articulated shapes represented by voxel-sets reduces to maximal sub-graph isomorphism when each set is described by a weighted graph. Spectral graph theory can be used to map these graphs onto lower dimensional spaces and match…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Diana Mateus , Radu Horaud , David Knossow , Fabio Cuzzolin , Edmond Boyer

Tensor decomposition has emerged as a prominent technique to learn low-dimensional representation under the supervision of reconstruction error, primarily benefiting data inference tasks like completion and imputation, but not…

Machine Learning · Computer Science 2024-09-24 Man Li , Ziyue Li , Lijun Sun , Fugee Tsung

Deep clustering as an important branch of unsupervised representation learning focuses on embedding semantically similar samples into the identical feature space. This core demand inspires the exploration of contrastive learning and…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Haifeng Xia , Hai Huang , Zhengming Ding

We extend previously developed two-level coarsening procedures for graph Laplacian problems written in a mixed saddle point form to the fully recursive multilevel case. The resulting hierarchy of discretizations gives rise to a hierarchy of…

Numerical Analysis · Mathematics 2020-03-11 Andrew T. Barker , Stephan V. Gelever , Chak S. Lee , Sarah V. Osborn , Panayot S. Vassilevski

To learn target discriminative representations, using pseudo-labels is a simple yet effective approach for unsupervised domain adaptation. However, the existence of false pseudo-labels, which may have a detrimental influence on learning…

Computer Vision and Pattern Recognition · Computer Science 2019-08-02 Jaehoon Choi , Minki Jeong , Taekyung Kim , Changick Kim

Hyperspectral unmixing aims at identifying a set of elementary spectra and the corresponding mixture coefficients for each pixel of an image. As the elementary spectra correspond to the reflectance spectra of real materials, they are often…

Computer Vision and Pattern Recognition · Computer Science 2020-02-17 Adrien Lagrange , Mathieu Fauvel , Stéphane May , Nicolas Dobigeon

Spectral clustering algorithms typically require a priori selection of input parameters such as the number of clusters, a scaling parameter for the affinity measure, or ranges of these values for parameter tuning. Despite efforts for…

Machine Learning · Computer Science 2019-03-20 Milad Afzalan , Farrokh Jazizadeh

Traditionally it had been a problem that researchers did not have access to enough spatial data to answer pressing research questions or build compelling visualizations. Today, however, the problem is often that we have too much data.…

Machine Learning · Computer Science 2018-03-23 Geoff Boeing

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

Machine Learning · Computer Science 2019-01-30 Nicolas Tremblay , Andreas Loukas

The unsupervised learning of community structure, in particular the partitioning vertices into clusters or communities, is a canonical and well-studied problem in exploratory graph analysis. However, like most graph analyses the…

Machine Learning · Computer Science 2020-07-27 Benjamin W. Priest , Alec Dunton , Geoffrey Sanders

In this work we study statistical properties of graph-based algorithms for multi-manifold clustering (MMC). In MMC the goal is to retrieve the multi-manifold structure underlying a given Euclidean data set when this one is assumed to be…

Machine Learning · Computer Science 2022-11-14 Nicolas Garcia Trillos , Pengfei He , Chenghui Li

In this paper, we address the problem of feature selection in the context of multi-label learning, by using a new estimator based on implicit regularization and label embedding. Unlike the sparse feature selection methods that use a…

Machine Learning · Computer Science 2024-11-19 Dou El Kefel Mansouri , Khalid Benabdeslem , Seif-Eddine Benkabou

Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

Machine Learning · Statistics 2021-06-09 Hankui Peng , Nicos G. Pavlidis

The recent progress in sparse coding and deep learning has made unsupervised feature learning methods a strong competitor to hand-crafted descriptors. In computer vision, success stories of learned features have been predominantly reported…

Computer Vision and Pattern Recognition · Computer Science 2014-08-14 Wenbin Li , Mario Fritz

Truncation is widely used in generative models for improving the quality of the generated samples, at the expense of reducing their diversity. We propose to leverage the StyleGAN generative architecture to devise a new truncation technique,…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Oren Katzir , Vicky Perepelook , Dani Lischinski , Daniel Cohen-Or

In this paper, we propose a variationally consistent technique for decreasing the maximum eigenfrequencies of structural dynamics related finite element formulations. Our approach is based on adding a symmetric positive-definite term to the…

Numerical Analysis · Mathematics 2022-07-27 Stein K. F. Stoter , Thi-Hoa Nguyen , René R. Hiemstra , Dominik Schillinger

We present several applications of mode matching methods in spectral and scattering problems. First, we consider the eigenvalue problem for the Dirichlet Laplacian in a finite cylindrical domain that is split into two subdomains by a…

Mathematical Physics · Physics 2019-11-05 A. Delitsyn , D. S. Grebenkov

With the excellent disentanglement properties of state-of-the-art generative models, image editing has been the dominant approach to control the attributes of synthesised face images. However, these edited results often suffer from…

Computer Vision and Pattern Recognition · Computer Science 2021-09-09 Tianren Wang , Can Peng , Teng Zhang , Brian Lovell

Subspace clustering refers to the problem of clustering high-dimensional data into a union of low-dimensional subspaces. Current subspace clustering approaches are usually based on a two-stage framework. In the first stage, an affinity…

Machine Learning · Computer Science 2019-10-22 Shuai Yang , Wenqi Zhu , Yuesheng Zhu

Extended Vision techniques are ubiquitous in physics. However, the data cubes steaming from such analysis often pose a challenge in their interpretation, due to the intrinsic difficulty in discerning the relevant information from the…

Machine Learning · Computer Science 2024-07-16 Alessandro Bombini , Fernando García-Avello Bofías , Caterina Bracci , Michele Ginolfi , Chiara Ruberto
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