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This paper presents an approximation algorithm for finding a shortest path between two points $s$ and $t$ in a weighted planar subdivision $\PS$. Each face $f$ of $\PS$ is associated with a weight $w_f$, and the cost of travel along a line…

计算几何 · 计算机科学 2010-12-01 Rajasekhar Inkulu , Sanjiv Kapoor

Cooperative Greedy Pursuit Strategies are considered for approximating a signal partition subjected to a global constraint on sparsity. The approach aims at producing a high quality sparse approximation of the whole signal, using highly…

数据结构与算法 · 计算机科学 2015-12-15 Laura Rebollo-Neira

The transportation problem in the plane - how to move a set of objects from one set of points to another set of points in the cheapest way - is a very old problem going back several hundreds of years. In recent years the solution of the…

最优化与控制 · 数学 2016-06-03 Thomas Kaijser

We consider a randomised implementation of the finite element method (FEM) for elliptic partial differential equations on high-dimensional models. This is motivated by applications where model predictions are essential for real-time process…

数值分析 · 数学 2019-07-30 Yue Wu , Dimitris Kamilis , Nick Polydorides

Rotation distance between rooted binary trees measures the number of simple operations it takes to transform one tree into another. There are no known polynomial-time algorithms for computing rotation distance. We give an efficient,…

数据结构与算法 · 计算机科学 2018-03-19 Sean Cleary , Katherine St. John

In this paper, we present a factor 16 approximation algorithm for the following NP-hard distance fitting problem: given a finite set X and a distance d on X, find a Robinsonian distance dR on X minimizing the l\infty-error ||d - dR||\infty…

数据结构与算法 · 计算机科学 2009-02-10 Victor Chepoi , M. Seston

For a function $f$ from $\mathbb{F}_2^n$ to $\mathbb{F}_2^n$, the planarity of $f$ is usually measured by its differential uniformity and differential spectrum. In this paper, we propose the concept of vanishing flats, which supplies a…

Application of the minimum distance method to the linear regression model for estimating regression parameters is a difficult and time-consuming process due to the complexity of its distance function, and hence, it is computationally…

统计计算 · 统计学 2017-02-15 Jiwoong Kim

We propose a new exact method for shortest-path distance queries on large-scale networks. Our method precomputes distance labels for vertices by performing a breadth-first search from every vertex. Seemingly too obvious and too inefficient…

数据结构与算法 · 计算机科学 2013-04-18 Takuya Akiba , Yoichi Iwata , Yuichi Yoshida

We report a computational study of cutting plane algorithms for multi-stage stochastic mixed-integer programming models with the following cuts: (i) Benders', (ii) Integer L-shaped, and (iii) Lagrangian cuts. We first show that Integer…

最优化与控制 · 数学 2024-05-07 Akul Bansal , Simge Küçükyavuz

Deep network pruning is an effective method to reduce the storage and computation cost of deep neural networks when applying them to resource-limited devices. Among many pruning granularities, neuron level pruning will remove redundant…

计算机视觉与模式识别 · 计算机科学 2017-03-30 Zhengtao Wang , Ce Zhu , Zhiqiang Xia , Qi Guo , Yipeng Liu

Dimensionality reduction on quadratic manifolds augments linear approximations with quadratic correction terms. Previous works rely on linear approximations given by projections onto the first few leading principal components of the…

数值分析 · 数学 2024-12-13 Paul Schwerdtner , Benjamin Peherstorfer

Modelling the substitution of nucleotides along a phylogenetic tree is usually done by a hidden Markov process. This allows to define a distribution of characters at the leaves of the trees and one might be able to obtain polynomial…

种群与进化 · 定量生物学 2020-10-12 Marta Casanellas , Jesús Fernández-Sánchez , Marina Garrote-López

The cutoff method, which cuts off the values of a function less than a given number, is studied for the numerical computation of nonnegative solutions of parabolic partial differential equations. A convergence analysis is given for a broad…

数值分析 · 数学 2015-06-05 Changna Lu , Weizhang Huang , Erik S. Van Vleck

$\renewcommand{\Re}{{\rm I\!\hspace{-0.025em} R}} \newcommand{\SetX}{\mathsf{X}} \newcommand{\eps}{\varepsilon} \newcommand{\VorX}[1]{\mathcal{V} \pth{#1}} \newcommand{\Polygon}{\mathsf{P}} \newcommand{\IntRange}[1]{[ #1 ]}…

计算几何 · 计算机科学 2016-05-18 Sariel Har-Peled , Haim Kaplan , Micha Sharir

An expander code is a binary linear code whose parity-check matrix is the bi-adjacency matrix of a bipartite expander graph. We provide a new formula for the minimum distance of such codes. We also provide a new proof of the result that…

组合数学 · 数学 2021-01-06 Sudipta Mallik

Structured network pruning excels non-structured methods because they can take advantage of the thriving developed parallel computing techniques. In this paper, we propose a new structured pruning method. Firstly, to create more structured…

计算机视觉与模式识别 · 计算机科学 2023-10-11 Bojue Wang , Chunmei Ma , Bin Liu , Nianbo Liu , Jinqi Zhu

Cutting planes and branching are two of the most important algorithms for solving mixed-integer linear programs. For both algorithms, disjunctions play an important role, being used both as branching candidates and as the foundation for…

最优化与控制 · 数学 2023-07-10 Mark Turner , Timo Berthold , Mathieu Besançon , Thorsten Koch

The lifted multicut problem is a combinatorial optimization problem whose feasible solutions relate one-to-one to the decompositions of a graph $G = (V, E)$. Given an augmentation $\widehat{G} = (V, E \cup F)$ of $G$ and given costs $c \in…

离散数学 · 计算机科学 2024-04-15 Lucas Fabian Naumann , Jannik Irmai , Shengxian Zhao , Bjoern Andres

Deep learning algorithms are increasingly employed at the edge. However, edge devices are resource constrained and thus require efficient deployment of deep neural networks. Pruning methods are a key tool for edge deployment as they can…

计算机视觉与模式识别 · 计算机科学 2023-08-01 Yunqiang Li , Jan C. van Gemert , Torsten Hoefler , Bert Moons , Evangelos Eleftheriou , Bram-Ernst Verhoef