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Regularization and interior point approaches offer valuable perspectives to address constrained nonlinear optimization problems in view of control applications. This paper discusses the interactions between these techniques and proposes an…

最优化与控制 · 数学 2022-10-31 Alberto De Marchi

The stable allocation problem is one of the broadest extensions of the well-known stable marriage problem. In an allocation problem, edges of a bipartite graph have capacities and vertices have quotas to fill. Here we investigate the case…

离散数学 · 计算机科学 2014-07-14 Agnes Cseh , Martin Skutella

Cell tracking algorithms which automate and systematise the analysis of time lapse image data sets of cells are an indispensable tool in the modelling and understanding of cellular phenomena. In this study we present a theoretical framework…

In this paper, we generalize (accelerated) Newton's method with cubic regularization under inexact second-order information for (strongly) convex optimization problems. Under mild assumptions, we provide global rate of convergence of these…

最优化与控制 · 数学 2017-10-17 Saeed Ghadimi , Han Liu , Tong Zhang

The performance of anytime algorithms can be improved by simultaneously solving several instances of algorithm-problem pairs. These pairs may include different instances of a problem (such as starting from a different initial state),…

人工智能 · 计算机科学 2011-06-28 L. Finkelstein , S. Markovitch , E. Rivlin

Data compression is a well-studied (and well-solved) problem in the setup of long coding blocks. But important emerging applications need to compress data to memory words of small fixed widths. This new setup is the subject of this paper.…

信息论 · 计算机科学 2017-01-12 Ori Rottenstreich , Yuval Cassuto

This paper deals with the replica placement problem on fully homogeneous tree networks known as the Replica Placement optimization problem. The client requests are known beforehand, while the number and location of the servers are to be…

分布式、并行与集群计算 · 计算机科学 2007-06-28 Veronika Rehn-Sonigo

Optimizing the cellular network's cell locations is one of the most fundamental problems of network design. The general objective is to provide the desired Quality-of-Service (QoS) with the minimum system cost. In order to meet a growing…

网络与互联网体系结构 · 计算机科学 2013-07-23 Weisi Guo , Siyi Wang , Xiaoli Chu , Jiming Chen , Hui Song , Jie Zhang

In this paper, we study the two choice balls and bins process when balls are not allowed to choose any two random bins, but only bins that are connected by an edge in an underlying graph. We show that for $n$ balls and $n$ bins, if the…

数据结构与算法 · 计算机科学 2007-05-23 K. Kenthapadi , R. Panigrahy

We show a simple local norm regularization algorithm that works with high probability. Namely, we prove that if the entries of a $n \times n$ matrix $A$ are i.i.d. symmetrically distributed and have finite second moment, it is enough to…

概率论 · 数学 2018-09-12 Elizaveta Rebrova

The feasibility-seeking approach offers a systematic framework for managing and resolving intricate constraints in continuous problems, making it a promising avenue to explore in the context of floorplanning problems with increasingly…

最优化与控制 · 数学 2024-06-06 Shan Yu , Yair Censor , Guojie Luo

We introduce the problem Synchronized Planarity. Roughly speaking, its input is a loop-free multi-graph together with synchronization constraints that, e.g., match pairs of vertices of equal degree by providing a bijection between their…

数据结构与算法 · 计算机科学 2021-07-23 Thomas Bläsius , Simon D. Fink , Ignaz Rutter

A common task in robotics is unloading identical goods from a tray with rectangular grid structure. This naturally leads to the idea of programming the process at one grid position only and translating the motion to the other grid points,…

机器人学 · 计算机科学 2018-11-20 Martin Weiß

In this paper, the downlink of a typical massive MIMO system is studied when each base station is composed of three antenna arrays with directional antenna elements serving 120 degrees of the two-dimensional space. A lower bound for the…

信息论 · 计算机科学 2018-04-27 Shahram Shahsavari , Parisa Hassanzadeh , Alexei Ashikhmin , Elza Erkip

In our paper we consider the Cell Formation Problem in Group Technology with grouping efficiency as an objective function. We present a heuristic approach for obtaining high-quality solutions of the CFP. The suggested heuristic applies an…

离散数学 · 计算机科学 2017-02-24 Ilya Bychkov , Mikhail Batsyn , Panos M. Pardalos

The feasibility-seeking approach provides a systematic scheme to manage and solve complex constraints for continuous problems, and we explore it for the floorplanning problems with increasingly heterogeneous constraints. The classic…

最优化与控制 · 数学 2023-04-17 Shan Yu , Yair Censor , Ming Jiang , Guojie Luo

We present a centralized algorithmic framework for solving multi-robot path planning problems in general, two-dimensional, continuous environments while minimizing globally the task completion time. The framework obtains high levels of…

机器人学 · 计算机科学 2015-07-14 Jingjin Yu , Daniela Rus

Previous works suggested the use of Branch and Bound techniques for finding the optimal allocation in (multi-unit) combinatorial auctions. They remarked that Linear Programming could provide a good upper-bound to the optimal allocation, but…

计算机科学与博弈论 · 计算机科学 2007-05-23 Rica Gonen , Daniel Lehmann

Traditional projection-based reduced-order modeling approximates the full-order model by projecting it onto a linear subspace. With a fast-decaying Kolmogorov $n$-width of the solution manifold, the resulting reduced-order model (ROM) can…

数值分析 · 数学 2026-03-27 Lijie Ji , Sabrina Rashid , Yanlai Chen , Zhu Wang

A distributed-memory parallelization strategy for the density matrix renormalization group is proposed for cases where correlation functions are required. This new strategy has substantial improvements with respect to previous works. A…

强关联电子 · 物理学 2010-04-20 Julian Rincon , D. J. Garcia , K. Hallberg