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Correspondence problems are often modelled as quadratic optimization problems over permutations. Common scalable methods for approximating solutions of these NP-hard problems are the spectral relaxation for non-convex energies and the…

Graphics · Computer Science 2017-05-18 Nadav Dym , Haggai Maron , Yaron Lipman

Pareto optimization via evolutionary multi-objective algorithms has been shown to efficiently solve constrained monotone submodular functions. Traditionally when solving multiple problems, the algorithm is run for each problem separately.…

Neural and Evolutionary Computing · Computer Science 2026-04-17 Liam Wigney , Frank Neumann

We consider the sparse optimization problem with nonlinear constraints and an objective function, which is given by the sum of a general smooth mapping and an additional term defined by the $ \ell_0 $-quasi-norm. This term is used to obtain…

Optimization and Control · Mathematics 2022-10-19 Christian Kanzow , Alexandra Schwarz , Felix Weiß

We present a comprehensive analysis of an algorithm for evaluating high-dimensional polynomials that are invariant under permutations and rotations. The key bottleneck is the contraction of a high-dimensional symmetric and sparse tensor…

Numerical Analysis · Mathematics 2022-02-10 Illia Kaliuzhnyi , Christoph Ortner

This paper proposes a new method for estimating sparse precision matrices in the high dimensional setting. It has been popular to study fast computation and adaptive procedures for this problem. We propose a novel approach, called Sparse…

Methodology · Statistics 2016-12-23 Weidong Liu , Xi Luo

In this paper we consider a general matrix factorization model which covers a large class of existing models with many applications in areas such as machine learning and imaging sciences. To solve this possibly nonconvex, nonsmooth and…

Optimization and Control · Mathematics 2018-05-16 Lei Yang , Ting Kei Pong , Xiaojun Chen

In the fields of control theory and machine learning, the dynamic low-rank approximation for large-scale matrices has received substantial attention. Considering large-scale semilinear stiff matrix differential equations, we propose…

Numerical Analysis · Mathematics 2025-10-14 Zi Wu , Yong-Liang Zhao , Xian-Ming Gu

Recursive queries and recursive derived tables constitute an important part of the SQL standard. Their efficient processing is important for many real-life applications that rely on graph or hierarchy traversal. Position-enabled…

Databases · Computer Science 2023-08-21 Mikhail Firsov , Michael Polyntsov , Kirill Smirnov , George Chernishev

A matching in a graph is induced if no two of its edges are joined by an edge, and finding a large induced matching is a very hard problem. Lin et al. (Approximating weighted induced matchings, Discrete Applied Mathematics 243 (2018)…

Combinatorics · Mathematics 2018-12-17 Julien Baste , Maximilian Fürst , Dieter Rautenbach

Computing more than one eigenvalue for (large sparse) one-parameter polynomial and general nonlinear eigenproblems, as well as for multiparameter linear and nonlinear eigenproblems, is a much harder task than for standard eigenvalue…

Numerical Analysis · Mathematics 2021-10-19 Michiel E. Hochstenbach , Bor Plestenjak

This article introduces new acceleration methods for fixed-point iterations. Extrapolations are computed using two or three mappings alternately and a new type of step length is proposed with good properties for nonlinear applications. The…

Optimization and Control · Mathematics 2021-08-17 Nicolas Lepage-Saucier

Classifiers based on sparse representations have recently been shown to provide excellent results in many visual recognition and classification tasks. However, the high cost of computing sparse representations at test time is a major…

Computer Vision and Pattern Recognition · Computer Science 2014-10-03 Alhussein Fawzi , Mike Davies , Pascal Frossard

A novel orthogonalization-free method together with two specific algorithms are proposed to solve extreme eigenvalue problems. On top of gradient-based algorithms, the proposed algorithms modify the multi-column gradient such that earlier…

Numerical Analysis · Mathematics 2021-10-15 Weiguo Gao , Yingzhou Li , Bichen Lu

The research in parallel machine scheduling in combinatorial optimization suggests that the desirable parallel efficiency could be achieved when the jobs are sorted in the non-increasing order of processing times. In this paper, we find…

Numerical Analysis · Mathematics 2012-02-15 Lei Wang , Heng Liang , Fengshan Bai , Yan Huo

Repeated measurements are common in many fields, where random variables are observed repeatedly across different subjects. Such data have an underlying hierarchical structure, and it is of interest to learn covariance/correlation at…

Methodology · Statistics 2023-06-13 Sunpeng Duan , Guo Yu , Juntao Duan , Yuedong Wang

We consider the problem of reconstructing an infinite set of sparse, finite-dimensional vectors, that share a common sparsity pattern, from incomplete measurements. This is in contrast to the work [17], where the single vector signal can be…

Optimization and Control · Mathematics 2021-11-29 Nick Dexter , Hoang Tran , Clayton Webster

In this paper, we study the nurse rostering problem that considers multiple units and many soft time-related constraints. An efficient branch and price solution approach that relies on a fast algorithm to solve the pricing subproblem of the…

Optimization and Control · Mathematics 2023-11-10 Wanzhe Hu , Xiaozhou He , Li Luo , Panos M. Pardalos

We propose a method for variable selection in discriminant analysis with mixed categorical and continuous variables. This method is based on a criterion that permits to reduce the variable selection problem to a problem of estimating…

Statistics Theory · Mathematics 2017-03-14 Alban Mbina Mbina , Guy Martial Nkiet , Fulgence Eyi Obiang

This paper deals with the polynomial linear system solving with errors (PLSwE) problem. Specifically, we focus on the evaluation-interpolation technique for solving polynomial linear systems and we assume that errors can occur in the…

Symbolic Computation · Computer Science 2021-02-09 Guerrini Eleonora , Lebreton Romain , Zappatore Ilaria

We study the problem of instance segmentation in biological images with crowded and compact cells. We formulate this task as an integer program where variables correspond to cells and constraints enforce that cells do not overlap. To solve…

Computer Vision and Pattern Recognition · Computer Science 2017-09-22 Chong Zhang , Shaofei Wang , Miguel A. Gonzalez-Ballester , Julian Yarkony