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The uniqueness of sparsest solutions of underdetermined linear systems plays a fundamental role in the newly developed compressed sensing theory. Several new algebraic concepts, including the sub-mutual coherence, scaled mutual coherence,…

Numerical Analysis · Mathematics 2012-12-27 Yun-Bin Zhao

We present a new fully automatic block-decomposition hexahedral meshing algorithm capable of producing high quality meshes that strictly preserve feature curve networks on the input surface and align with an input surface cross-field. We…

Graphics · Computer Science 2019-06-25 Marco Livesu , Nico Pietroni , Enrico Puppo , Alla Sheffer , Paolo Cignoni

Most problems in Machine Learning cater to classification and the objects of universe are classified to a relevant class. Ranking of classified objects of universe per decision class is a challenging problem. We in this paper propose a…

Computation and Language · Computer Science 2020-02-11 Nidhika Yadav , Niladri Chatterjee

High-throughput chromatin conformation capture (Hi-C) data provide insights into the 3D structure of chromosomes, with normalization being a crucial pre-processing step. A common technique for normalization is matrix balancing, which…

Applications · Statistics 2025-06-17 John Park , Ning Hao , Yue Selena Niu , Ming Hu

Consistent hashing is fundamental to distributed systems, but ring-based schemes can exhibit high peak-to-average load ratios unless they use many virtual nodes, while multi-probe methods improve balance at the cost of scattered memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-30 Yongjie Guan

In this paper, a new multi-hop weighted clustering procedure is proposed for homogeneous Mobile Ad hoc networks. The algorithm generates double star embedded non-overlapping cluster structures, where each cluster is managed by a leader node…

Discrete Mathematics · Computer Science 2011-05-02 T. N. Janakiraman , A. Senthil Thilak

We construct a soft thresholding operation for rank reduction of hierarchical tensors and subsequently consider its use in iterative thresholding methods, in particular for the solution of discretized high-dimensional elliptic problems. The…

Numerical Analysis · Mathematics 2015-02-02 Markus Bachmayr , Reinhold Schneider

Clustering techniques create hierarchal network structures, called clusters, on an otherwise flat network. In a dynamic environment-in terms of node mobility as well as in terms of steadily changing device parameters-the clusterhead…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-06-11 Matthias R. Brust , Adrian Andronache , Steffen Rothkugel

We consider an algorithm called FEMWARP for warping triangular and tetrahedral finite element meshes that computes the warping using the finite element method itself. The algorithm takes as input a two- or three-dimensional domain defined…

Numerical Analysis · Mathematics 2025-10-20 Suzanne M. Shontz , Stephen A. Vavasis

Relaxation and rounding approaches became a standard and extremely versatile tool for constrained submodular function maximization. One of the most common rounding techniques in this context are contention resolution schemes. Such schemes…

Data Structures and Algorithms · Computer Science 2019-05-22 Simon Bruggmann , Rico Zenklusen

We propose a new method for the reconstruction of simplicial complexes (combining points, edges and triangles) from 3D point clouds from Mobile Laser Scanning (MLS). Our method uses the inherent topology of the MLS sensor to define a…

Computational Geometry · Computer Science 2018-06-12 Stephane Guinard , Bruno Vallet

Clustering ensemble, or consensus clustering, has emerged as a powerful tool for improving both the robustness and the stability of results from individual clustering methods. Weighted clustering ensemble arises naturally from clustering…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Mimi Zhang

In the context of unsupervised learning, effective clustering plays a vital role in revealing patterns and insights from unlabeled data. However, the success of clustering algorithms often depends on the relevance and contribution of…

Machine Learning · Computer Science 2025-03-18 Fabian Galis , Darian Onchis

Weighted minwise hashing is a standard dimensionality reduction technique with applications to similarity search and large-scale kernel machines. We introduce a simple algorithm that takes a weighted set $x \in \mathbb{R}_{\geq 0}^{d}$ and…

Data Structures and Algorithms · Computer Science 2020-05-26 Tobias Christiani

Low-rank matrix completion is an important problem with extensive real-world applications. When observations are uniformly sampled from the underlying matrix entries, existing methods all require the matrix to be incoherent. This paper…

Machine Learning · Computer Science 2015-02-11 Shusen Wang , Tong Zhang , Zhihua Zhang

Many latent (factorized) models have been proposed for recommendation tasks like collaborative filtering and for ranking tasks like document or image retrieval and annotation. Common to all those methods is that during inference the items…

Machine Learning · Computer Science 2012-10-19 Jason Weston , John Blitzer

The Minimum Weighted Feedback Arc Set (MWFAS) problem is closely related to the task of deriving a global ranking from pairwise comparisons. Recent work by He et al. (ICML 2022) advanced the state of the art on ranking benchmarks using…

Information Retrieval · Computer Science 2025-12-05 Soroush Vahidi , Ioannis Koutis

The compression of geometric structures is a relatively new field of data compression. Since about 1995, several articles have dealt with the coding of meshes, using for most of them the following approach: the vertices of the mesh are…

Computational Geometry · Computer Science 2007-05-23 Olivier Devillers , Pierre-Maris Gandoin

In this paper we propose and analyze a general arbitrarily high-order modified trapezoidal rule for a class of weakly singular integrals of the forms $I = \int_{\mathbb{R}^n}\phi(x)s(x)dx$ in $n$ dimensions, where $\phi\in…

Numerical Analysis · Mathematics 2022-08-23 Senbao Jiang , Xiaofan Li

The lack of fa\c{c}ade structures in photogrammetric mesh models renders them inadequate for meeting the demands of intricate applications. Moreover, these mesh models exhibit irregular surfaces with considerable geometric noise and texture…

Computer Vision and Pattern Recognition · Computer Science 2023-06-08 Libin Wang , Han Hu , Qisen Shang , Bo Xu , Qing Zhu
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