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We describe a variation of the iterative closest point (ICP) algorithm for aligning two point sets under a set of transformations. Our algorithm is superior to previous algorithms because (1) in determining the optimal alignment, it…

Graphics · Computer Science 2009-09-29 Jeff M. Phillips , Ran Liu , Carlo Tomasi

This paper presents the first discrete-time distributed algorithm to track the tightest ellipsoids that outer approximates the global dynamic intersection of ellipsoids. Given an undirected network, we consider a setup where each node…

Optimization and Control · Mathematics 2025-02-13 Eduardo Sebastián , Rodrigo Aldana-López , Rosario Aragüés , Eduardo Montijano , Carlos Sagüés

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…

Data Structures and Algorithms · Computer Science 2021-09-13 Kaan Gokcesu , Hakan Gokcesu

The field of Distributed Constraint Optimization has gained momentum in recent years, thanks to its ability to address various applications related to multi-agent cooperation. Nevertheless, solving Distributed Constraint Optimization…

Artificial Intelligence · Computer Science 2017-02-24 Ferdinando Fioretto , Agostino Dovier , Enrico Pontelli , William Yeoh , Roie Zivan

Given a linear regression setting, Iterative Least Trimmed Squares (ILTS) involves alternating between (a) selecting the subset of samples with lowest current loss, and (b) re-fitting the linear model only on that subset. Both steps are…

Machine Learning · Computer Science 2019-11-13 Yanyao Shen , Sujay Sanghavi

In this work, we develop an adaptive, multivariate partitioning algorithm for solving mixed-integer nonlinear programs (MINLP) with multi-linear terms to global optimality. This iterative algorithm primarily exploits the advantages of…

Optimization and Control · Mathematics 2019-02-05 Harsha Nagarajan , Mowen Lu , Site Wang , Russell Bent , Kaarthik Sundar

A majorization-minimization (MM) algorithm for independent vector analysis optimizes a separation matrix $W = [w_1, \ldots, w_m]^h \in \mathbb{C}^{m \times m}$ by minimizing a surrogate function of the form $\mathcal{L}(W) = \sum_{i = 1}^m…

Signal Processing · Electrical Eng. & Systems 2022-06-20 Rintaro Ikeshita , Tomohiro Nakatani

Maximum-distance-separable (MDS) codes are a class of erasure codes that are widely adopted to enhance the reliability of distributed storage systems (DSS). In (n, k) MDS coded DSS, the original data are stored into n distributed nodes in…

Information Theory · Computer Science 2017-06-16 Sheng Guan , Haibin Kan , Xin Wang

We propose a distributed algorithm for solving the optimization problem Basis Pursuit (BP). BP finds the least L1-norm solution of the underdetermined linear system Ax = b and is used, for example, in compressed sensing for reconstruction.…

Optimization and Control · Mathematics 2012-03-15 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

Block-coordinate algorithms are recognized to furnish efficient iterative schemes for addressing large-scale problems, especially when the computation of full derivatives entails substantial memory requirements and computational efforts. In…

Optimization and Control · Mathematics 2025-04-16 Pedro Pérez-Aros , David Torregrosa-Belén

Semantic segmentation is a popular research topic in computer vision, and many efforts have been made on it with impressive results. In this paper, we intend to search an optimal network structure that can run in real-time for this problem.…

Computer Vision and Pattern Recognition · Computer Science 2022-08-11 Peng Ye , Baopu Li , Tao Chen , Jiayuan Fan , Zhen Mei , Chen Lin , Chongyan Zuo , Qinghua Chi , Wanli Ouyan

We consider the RMS distance (sum of squared distances between pairs of points) under translation between two point sets in the plane, in two different setups. In the partial-matching setup, each point in the smaller set is matched to a…

Computational Geometry · Computer Science 2014-11-27 Rinat Ben-Avraham , Matthias Henze , Rafel Jaume , Balázs Keszegh , Orit E. Raz , Micha Sharir , Igor Tubis

This paper proposes an optimization strategy to assist utility operators to recover power distribution systems after large outages. Specifically, a mixed-integer linear programming (MILP) model is developed for co-optimizing crews,…

Optimization and Control · Mathematics 2019-05-09 Anmar Arif , Zhaoyu Wang , Jianhui Wang , Chen Chen

The Partitioning Min-Max Weighted Matching (PMMWM) problem is an NP-hard problem that combines the problem of partitioning a group of vertices of a bipartite graph into disjoint subsets with limited size and the classical Min-Max Weighted…

Data Structures and Algorithms · Computer Science 2022-01-26 Yuxuan Wang , Jinyao Xie , Jiongzhi Zheng , Kun He

This paper proposes a novel optimization framework for discrete phase shifts of a reconfigurable intelligent surface (RIS) using a coherent Ising machine (CIM). Unlike conventional methods based on iterative convex approximation or…

Information Theory · Computer Science 2026-04-01 Yuto Hama , Daisuke Kitayama , Kensuke Inaba , Toshimori Honjo , Hiroki Takesue , Naoki Ishikawa , Hiroyuki Takahashi

In this paper, we introduce two iterative methods for longest minimal length partition problem, which asks whether the disc (ball) is the set maximizing the total perimeter of the shortest partition that divides the total region into…

Numerical Analysis · Mathematics 2024-05-28 Shilong Hu , Hao Liu , Dong Wang

In this paper, we propose a distributed algorithm for the minimum dominating set problem. For some especial networks, we prove theoretically that the achieved answer by our proposed algorithm is a constant approximation factor of the exact…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Sharareh Alipour , Ehsan Futuhi , Shayan Karimi

In this paper, we study the problem of multipath channel estimation for direct sequence spread spectrum signals. To resolve multipath components arriving within a short interval, we propose a new algorithm called the least-squares based…

Information Theory · Computer Science 2015-03-19 Wooseok Nam , Seung-Hyun Kong

In Spectrally Efficient Frequency Division Multiplexing systems the input data stream is divided into several adjacent subchannels where the distance of the subchannels is less than that of Orthogonal Frequency Division…

Information Theory · Computer Science 2013-04-16 Seyed Javad Heydari , Mahmoud Ferdosizade Naeiny , Farokh Marvasti

We consider the geometric optics problem of finding a system of two reflectors that transform a spherical wavefront into a beam of parallel rays with prescribed intensity distribution. Using techniques from optimal transportation theory, it…

Numerical Analysis · Mathematics 2011-11-08 Tilmann Glimm , Nick Henscheid