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This paper proposes an arc-search interior-point algorithm for the nonlinear constrained optimization problem. The proposed algorithm uses the second-order derivatives to construct a search arc that approaches the optimizer. Because the arc…

最优化与控制 · 数学 2025-06-13 Yaguang Yang

This paper is concerned with distributed computation of several commonly used centrality measures in complex networks. In particular, we propose deterministic algorithms, which converge in finite time, for the distributed computation of the…

系统与控制 · 计算机科学 2016-11-15 Keyou You , Roberto Tempo , Li Qiu

The class $(r,2)$-CSP, or simply Max 2-CSP, consists of constraint satisfaction problems with at most two $r$-valued variables per clause. For instances with $n$ variables and $m$ binary clauses, we present an $O(n r^{5+19m/100})$-time…

离散数学 · 计算机科学 2008-03-26 Alexander D. Scott , Gregory B. Sorkin

This work proposes a fully decentralized strategy for maintaining the formation rigidity of a multi-robot system using only range measurements, while still allowing the graph topology to change freely over time. In this direction, a first…

系统与控制 · 计算机科学 2015-06-03 Daniel Zelazo , Antonio Franchi , Heinrich H. Bülthoff , Paolo Robuffo Giordano

Matching nodes in a graph G = (V, E) is a well-studied algorithmic problem with many applications. The b-matching problem is a generalizati on that allows to match a node with up to b neighbors. This allows more flexible connectivity…

数据结构与算法 · 计算机科学 2024-10-15 Fabian Brandt-Tumescheit , Frieda Gerharz , Henning Meyerhenke

Hinging on ideas from physical-layer network coding, some promising proposals of coded random access systems seek to improve system performance (while preserving low complexity) by means of packet repetitions and decoding of linear…

信息论 · 计算机科学 2018-05-30 Adriano Pastore , Paul de Kerret , Monica Navarro , David Gregoratti , David Gesbert

In the first part of this series of two papers, we proposed a theoretical formalism that enables one to model and categorize heterogeneous materials (media) via two-point correlation functions S2 and introduced an efficient…

材料科学 · 物理学 2009-11-13 Y. Jiao , F. H. Stillinger , S. Torquato

In this paper we introduce the Ladder Algorithm; a novel recurrent algorithm to detect repetitive structures in natural images with high accuracy using little training data. We then demonstrate the algorithm on the task of extracting…

计算机视觉与模式识别 · 计算机科学 2020-04-09 Rhydian Windsor , Amir Jamaludin

The purpose of this work is twofold: to present mathematical expressions for the kinematics of an articulated mechanism and to perform numerical experiments with the implemented code. The system of rigid parts is made of two slender bars…

物理教育 · 物理学 2015-10-06 Luciano Fleischfresser

Betweenness Centrality (BC) is steadily growing in popularity as a metrics of the influence of a vertex in a graph. The BC score of a vertex is proportional to the number of all-pairs-shortest-paths passing through it. However, complete and…

分布式、并行与集群计算 · 计算机科学 2022-02-22 Flavio Vella , Giancarlo Carbone , Massimo Bernaschi

A linked bar chart is the augmentation of a traditional bar chart where each bar is partitioned into blocks and pairs of blocks are linked using orthogonal lines that pass over intermediate bars. The order of the blocks readily influences…

计算几何 · 计算机科学 2025-11-24 Steven van den Broek , Marc van Kreveld , Wouter Meulemans , Arjen Simons

One powerful technique to solve NP-hard optimization problems in practice is branch-and-reduce search---which is branch-and-bound that intermixes branching with reductions to decrease the input size. While this technique is known to be very…

数据结构与算法 · 计算机科学 2018-10-26 Sebastian Lamm , Christian Schulz , Darren Strash , Robert Williger , Huashuo Zhang

We present an efficient and robust numerical algorithm for solving the two-dimensional linear elasticity problem that combines the Quantized Tensor Train format and a domain partitioning strategy. This approach makes it possible to solve…

数值分析 · 数学 2025-01-15 Elena Benvenuti , Gianmarco Manzini , Marco Nale , Simone Pizzolato

Since the Bin Packing Problem (BPP) is one of the main NP-hard problems, a lot of approximation algorithms have been suggested for it. It has been proven that the best algorithm for BPP has the approximation ratio of 3/2 and the time order…

离散数学 · 计算机科学 2016-10-28 Abdolahad Noori Zehmakan

Several physical systems in condensed matter have been modeled approximating their constituent particles as hard objects. The hard spheres model has been indeed one of the cornerstones of the computational and theoretical description in…

计算物理 · 物理学 2015-05-13 Cristiano De Michele

This paper initiates the study of online algorithms for the maximum weight $b$-matching problem, a generalization of maximum weight matching where each node has at most $b \geq 1$ adjacent matching edges. The problem is motivated by…

网络与互联网体系结构 · 计算机科学 2021-03-16 Marcin Bienkowski , David Fuchssteiner , Jan Marcinkowski , Stefan Schmid

This work studies a class of non-smooth decentralized multi-agent optimization problems where the agents aim at minimizing a sum of local strongly-convex smooth components plus a common non-smooth term. We propose a general primal-dual…

最优化与控制 · 数学 2020-07-13 Sulaiman A. Alghunaim , Ernest K. Ryu , Kun Yuan , Ali H. Sayed

It has been found that many networks display community structure -- groups of vertices within which connections are dense but between which they are sparser -- and highly sensitive computer algorithms have in recent years been developed for…

统计力学 · 物理学 2009-11-10 M. E. J. Newman

We study the fair k-set selection problem where we aim to select $k$ sets from a given set system such that the (weighted) occurrence times that each element appears in these $k$ selected sets are balanced, i.e., the maximum (weighted)…

数据结构与算法 · 计算机科学 2025-05-20 Shi Li , Chenyang Xu , Ruilong Zhang

We study the optimization version of the set partition problem (where the difference between the partition sums are minimized), which has numerous applications in decision theory literature. While the set partitioning problem is NP-hard and…

数据结构与算法 · 计算机科学 2021-09-13 Kaan Gokcesu , Hakan Gokcesu