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This paper is focused on the convergence analysis of an adaptive stochastic collocation algorithm for the stationary diffusion equation with parametric coefficient. The algorithm employs sparse grid collocation in the parameter domain…

Numerical Analysis · Mathematics 2025-01-22 Alex Bespalov , Andrey Savinov

In this paper, we develop a high-order adaptive virtual element method (VEM) to simulate the self-consistent field theory (SCFT) model in arbitrary domains. The VEM is very flexible in handling general polygon elements and can treat hanging…

Numerical Analysis · Mathematics 2021-06-15 Huayi Wei , Xin Wang , Chunyu Chen , Kai Jiang

We propose a new Markov Chain Monte Carlo (MCMC) method for constrained target distributions. Our method first maps the $D$-dimensional constrained domain of parameters to the unit ball ${\bf B}_0^D(1)$. Then, it augments the resulting…

Computation · Statistics 2015-06-22 Shiwei Lan , Bo Zhou , Babak Shahbaba

Sparse Subspace Clustering (SSC) has achieved state-of-the-art clustering quality by performing spectral clustering over a $\ell^{1}$-norm based similarity graph. However, SSC is a transductive method which does not handle with the data not…

Machine Learning · Computer Science 2014-09-11 Xi Peng , Lei Zhang , Zhang Yi

We introduce a mesoscale method for simulating hydrodynamic transport and self assembly of inhomogeneous polymer melts in pressure driven and drag induced flows. This method extends dynamic self consistent field theory (DSCFT) into the…

Soft Condensed Matter · Physics 2015-06-25 David M. Hall , Turab Lookman , Glenn H. Fredrickson , Sanjoy Banerjee

In online clustering problems, there is often a large amount of uncertainty over possible cluster assignments that cannot be resolved until more data are observed. This difficulty is compounded when clusters follow complex distributions, as…

Machine Learning · Statistics 2026-04-17 Connie Trojan , Pavel Myshkov , Paul Fearnhead , James Hensman , Tom Minka , Christopher Nemeth

Correlation filters are special classifiers designed for shift-invariant object recognition, which are robust to pattern distortions. The recent literature shows that combining a set of sub-filters trained based on a single or a small group…

Computer Vision and Pattern Recognition · Computer Science 2018-02-14 Baochang Zhang , Shangzhen Luan , Chen Chen , Jungong Han , Wei Wang , Alessandro Perina , Ling Shao

This paper introduces a simple but highly efficient ensemble for robust texture classification, which can effectively deal with translation, scale and changes of significant viewpoint problems. The proposed method first inherits the spirit…

Computer Vision and Pattern Recognition · Computer Science 2012-03-06 Shu Kong , Donghui Wang

The central importance of large scale eigenvalue problems in scientific computation necessitates the development of massively parallel algorithms for their solution. Recent advances in dense numerical linear algebra have enabled the routine…

Numerical Analysis · Mathematics 2020-05-08 David B. Williams-Young , Paul G. Beckman , Chao Yang

Supervised contour detection methods usually require many labeled training images to obtain satisfactory performance. However, a large set of annotated data might be unavailable or extremely labor intensive. In this paper, we investigate…

Computer Vision and Pattern Recognition · Computer Science 2016-05-18 Zizhao Zhang , Fuyong Xing , Xiaoshuang Shi , Lin Yang

We propose DSC-Flow-Iter, a new community detection algorithm that is based on iterative extraction of dense subgraphs. Although DSC-Flow-Iter leaves many nodes unclustered, it is competitive with leading methods and has high-precision and…

Social and Information Networks · Computer Science 2025-09-03 The-Anh Vu-Le , João Alfredo Cardoso Lamy , Tomás Alessi , Ian Chen , Minhyuk Park , Elfarouk Harb , George Chacko , Tandy Warnow

Short-term tracking is an open and challenging problem for which discriminative correlation filters (DCF) have shown excellent performance. We introduce the channel and spatial reliability concepts to DCF tracking and provide a novel…

Computer Vision and Pattern Recognition · Computer Science 2019-01-15 Alan Lukežič , Tomáš Vojíř , Luka Čehovin , Jiří Matas , Matej Kristan

In order to prevent velocity, pressure, and temperature spikes at material discontinuities occurring when the interface-capturing schemes inconsistently simulate compressible multi-material flows(when the specific heats ratio is…

Computational Physics · Physics 2020-12-29 Zhiwei He , Yousheng Zhang , Li Li , Baolin Tian

Real-world visual search systems involve deployments on multiple platforms with different computing and storage resources. Deploying a unified model that suits the minimal-constrain platforms leads to limited accuracy. It is expected to…

Artificial Intelligence · Computer Science 2023-03-24 Shengsen Wu , Yan Bai , Yihang Lou , Xiongkun Linghu , Jianzhong He , Ling-Yu Duan

Centroid-based methods including k-means and fuzzy c-means are known as effective and easy-to-implement approaches to clustering purposes in many applications. However, these algorithms cannot be directly applied to supervised tasks. This…

Machine Learning · Computer Science 2021-04-20 Pooya Ashtari , Fateme Nateghi Haredasht , Hamid Beigy

Spectral clustering is one of the most popular clustering methods. However, how to balance the efficiency and effectiveness of the large-scale spectral clustering with limited computing resources has not been properly solved for a long…

Machine Learning · Computer Science 2022-07-12 Hongmin Li , Xiucai Ye , Akira Imakura , Tetsuya Sakurai

We propose an interacting contour stochastic gradient Langevin dynamics (ICSGLD) sampler, an embarrassingly parallel multiple-chain contour stochastic gradient Langevin dynamics (CSGLD) sampler with efficient interactions. We show that…

Machine Learning · Statistics 2022-02-22 Wei Deng , Siqi Liang , Botao Hao , Guang Lin , Faming Liang

We present a gradient-based algorithm for unconstrained minimization derived from iterated linear change of basis. The new method is equivalent to linear conjugate gradient in the case of a quadratic objective function. In the case of exact…

Optimization and Control · Mathematics 2008-08-19 Stephen A. Vavasis

SGD (Stochastic Gradient Descent) is a popular algorithm for large scale optimization problems due to its low iterative cost. However, SGD can not achieve linear convergence rate as FGD (Full Gradient Descent) because of the inherent…

Machine Learning · Computer Science 2017-12-05 Aixiang Chen , Bingchuan Chen , Xiaolong Chai , Rui Bian , Hengguang Li

Identifying inaccurate data has long been regarded as a significant and difficult problem in AI. In this paper, we present a new method for identifying inaccurate data on the basis of qualitative correlations among related data. First, we…

Artificial Intelligence · Computer Science 2014-11-17 Q. Zhao , T. Nishida