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An inexact Newton type method for numerical minimization of convex piecewise quadratic functions is considered and its convergence is analyzed. Earlier, a similar method was successfully applied to optimizaton problems arising in numerical…

最优化与控制 · 数学 2019-01-11 Alexander I. Golikov , Igor E. Kaporin

This paper is interested in developing reduced order models (ROMs) for repeated simulation of fractional elliptic partial differential equations (PDEs) for multiple values of the parameters (e.g., diffusion coefficients or fractional…

数值分析 · 数学 2023-06-30 Harbir Antil , Arvind K. Saibaba

Given two points in the plane, and a set of "obstacles" given as curves through the plane with assigned weights, we consider the point-separation problem, which asks for the minimum-weight subset of the obstacles separating the two points.…

计算几何 · 计算机科学 2025-07-15 Jack Spalding-Jamieson , Anurag Murty Naredla

The demand for extracting rules from high dimensional real world data is increasing in various fields. However, the possible redundancy of such data sometimes makes it difficult to obtain a good generalization ability for novel samples. To…

无序系统与神经网络 · 物理学 2009-11-11 Shinsuke Uda , Yoshiyuki Kabashima

Many robot arms can accomplish one task using many different joint configurations. Often only one of these configurations is used as a goal by the path planner. Ideally the robot's path planner would be able to use the extra configurations…

机器人学 · 计算机科学 2017-08-22 Scott Paulin , Tom Botterill , XiaoQi Chen , Richard Green

We study the problem of how to breakup many point sets in $\mathbb{R}^d$ into smaller parts using a few splitting (shared) hyperplanes. This problem is related to the classical Ham-Sandwich Theorem. We provide a logarithmic approximation to…

计算几何 · 计算机科学 2022-05-26 Sariel Har-Peled , Mitchell Jones

This paper introduces a checksum algorithm that provides a new point in the performance/complexity/effectiveness checksum tradeoff space. It has better fault detection properties than single-sum and dual-sum modular addition checksums. It…

数据结构与算法 · 计算机科学 2024-04-01 Philip Koopman

In this paper, we propose a multi-kernel classifier learning algorithm to optimize a given nonlinear and nonsmoonth multivariate classifier performance measure. Moreover, to solve the problem of kernel function selection and kernel…

机器学习 · 计算机科学 2015-08-26 Jingbin Wang , Haoxiang Wang , Yihua Zhou , Nancy McDonald

We present a finitely convergent cutting-plane algorithm for solving a general mixed-integer convex program given an oracle for solving a general convex program. This method is extended to solve a family of two-stage mixed-integer convex…

最优化与控制 · 数学 2025-09-30 Fengqiao Luo , Shibshankar Dey , Sanjay Mehrotra

This paper deals with fractional differential equations, with dependence on a Caputo fractional derivative of real order. The goal is to show, based on concrete examples and experimental data from several experiments, that fractional…

综合数学 · 数学 2016-11-03 Ricardo Almeida , Nuno R. O. Bastos , M. Teresa T. Monteiro

We present a method to gradually compute a smaller and smaller unsatisfiable core of a propositional formula by minimizing proofs of unsatisfiability. The goal is to compute a minimal unsatisfiable core that is relatively small compared to…

计算机科学中的逻辑 · 计算机科学 2019-07-16 Marijn J. H. Heule

In this paper a new fast algorithm for the computation of the distance of a matrix to a nearby defective matrix is presented. The problem is formulated following Alam & Bora (Linear Algebra Appl., 396 (2005), pp.~273--301) and reduces to…

数值分析 · 数学 2012-11-05 Melina A. Freitag , Alastair Spence

Since high resolution remote sensing image classification often requires a relatively high computation complexity, lightweight models tend to be practical and efficient. Model pruning is an effective method for model compression. However,…

计算机视觉与模式识别 · 计算机科学 2024-12-20 Guangwenjie Zou , Liang Yao , Fan Liu , Chuanyi Zhang , Xin Li , Ning Chen , Shengxiang Xu , Jun Zhou

Graph edit distance (GED) is a powerful and flexible graph matching paradigm that can be used to address different tasks in structural pattern recognition, machine learning, and data mining. In this paper, some new binary linear programming…

数据结构与算法 · 计算机科学 2015-05-22 Julien Lerouge , Zeina Abu-Aisheh , Romain Raveaux , Pierre Héroux , Sébastien Adam

This paper proposes the design of Fractional Order (FO) Butterworth filter in complex w-plane (w=sq; q being any real number) considering the presence of under-damped, hyper-damped, ultra-damped poles. This is the first attempt to design…

系统与控制 · 计算机科学 2014-11-18 Anish Acharya , Saptarshi Das , Indranil Pan , Shantanu Das

Matrix representations are a powerful tool for designing efficient algorithms for combinatorial optimization problems such as matching, and linear matroid intersection and parity. In this paper, we initiate the study of matrix…

最优化与控制 · 数学 2024-10-18 Taihei Oki , Tasuku Soma

This paper introduces the Furthest Hyperplane Problem (FHP), which is an unsupervised counterpart of Support Vector Machines. Given a set of n points in Rd, the objective is to produce the hyperplane (passing through the origin) which…

计算复杂性 · 计算机科学 2012-02-06 Zohar Karnin , Edo Liberty , Shachar Lovett , Roy Schwartz , Omri Weinstein

We provide first the functional analysis background required for reduced order modeling and present the underlying concepts of reduced basis model reduction. The projection-based model reduction framework under affinity assumptions,…

A known first order method to find a feasible solution to a conic problem is an adapted von Neumann algorithm. We improve the distance reduction step there by projecting onto the convex hull of previously generated points using a primal…

最优化与控制 · 数学 2014-08-15 C. H. Jeffrey Pang

Convolutional neural network (CNN) pruning has become one of the most successful network compression approaches in recent years. Existing works on network pruning usually focus on removing the least important filters in the network to…

计算机视觉与模式识别 · 计算机科学 2021-04-09 Zi Wang , Chengcheng Li , Xiangyang Wang
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