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Submodular functions describe a variety of discrete problems in machine learning, signal processing, and computer vision. However, minimizing submodular functions poses a number of algorithmic challenges. Recent work introduced an…

Optimization and Control · Mathematics 2014-11-06 Robert Nishihara , Stefanie Jegelka , Michael I. Jordan

In the Min-cost Perfect Matching with Delays (MPMD) problem, 2 m requests arrive over time at points of a metric space. An online algorithm has to connect these requests in pairs, but a decision to match may be postponed till a more…

Data Structures and Algorithms · Computer Science 2018-09-11 Marcin Bienkowski , Artur Kraska , Hsiang-Hsuan Liu , Paweł Schmidt

Untangling is a process in which some vertices of a planar graph are moved to obtain a straight-line plane drawing. The aim is to move as few vertices as possible. We present an algorithm that untangles the cycle graph C_n while keeping at…

Computational Geometry · Computer Science 2011-02-07 Josef Cibulka

We consider shared-object systems that require their threads to fulfill the system jobs by first acquiring sequentially the objects needed for the jobs and then holding on to them until the job completion. Such systems are in the core of a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-04 Iosif Salem , Elad M. Schiller , Marina Papatriantafilou , Philippas Tsigas

In this paper a proposal is made of an adaptive coupling function for achieving synchronization between two lasers subject to optical feedback.Such a control scheme requires knowledge of the systems' parameters. We demonstate that when…

Chaotic Dynamics · Physics 2007-05-23 E. M. Shahverdiev , K. A. Shore

We investigate the effects of heterogeneous delays in the coupling of two excitable neural systems. Depending upon the coupling strengths and the time delays in the mutual and self-coupling, the compound system exhibits different types of…

Adaptation and Self-Organizing Systems · Physics 2015-06-05 Anastasiia Panchuk , David P. Rosin , Philipp Hövel , Eckehard Schöll

A common problem to all applications of linear finite dynamical systems is analyzing the dynamics without enumerating every possible state transition. Of particular interest is the long term dynamical behaviour. In this paper, we study the…

Dynamical Systems · Mathematics 2019-04-01 Björn Lindenberg

Hybrid numerical-experimental testing is a standard approach for complex dynamical structures that are, on the one hand, not easy to model due to complexity and parameter uncertainty and, on the other hand, too expensive for full-scale…

Dynamical Systems · Mathematics 2020-03-24 Benjamin Unger

We show that the threshold of complete synchronization in a lattice of coupled non-smooth chaotic maps is determined by linear stability along the directions transversal to the synchronization subspace. We examine carefully the…

Chaotic Dynamics · Physics 2010-11-25 Rodrigo Frehse Pereira , Sandro Ely de Souza Pinto , Sergio Roberto Lopes

Distributed lag models (DLMs) express the cumulative and delayed dependence between pairs of time-indexed response and explanatory variables. In practical application, users of DLMs examine the estimated influence of a series of lagged…

Applications · Statistics 2018-01-23 Alastair Rushworth

We have analyzed the synchronization of a small-world network of chaotic Rulkov neurons with an electrical coupling that contains a delay. We have developed an algorithm to compute a certain delay whose result is to improve the…

Adaptation and Self-Organizing Systems · Physics 2019-05-01 Roberto Lozano , Javier Used , Miguel A. F. Sanjuán

Conditions such as insomnia, cardiac arrhythmia and jet-lag share a common feature: they are all related to the ability of biological systems to synchronize with the day-night cycle. When organisms lose resilience, this ability of…

Quantitative Methods · Quantitative Biology 2020-03-27 Pablo Rodríguez-Sánchez , Egbert H. van Nes , Marten Scheffer

The hull of a linear code is defined as the intersection of the code and its dual. This concept was initially introduced to classify finite projective planes. The hull plays a crucial role in determining the complexity of algorithms used to…

Information Theory · Computer Science 2025-11-25 Sanjit Bhowmick , Deepak Kumar Dalai , Sihem Mesnager

An oscillatory system can have clockwise and anticlockwise senses of rotation. We propose a general rule how to obtain counter-rotating oscillators from the definition of a dynamical system and then investigate synchronization. A type of…

Chaotic Dynamics · Physics 2015-05-28 S. K. Bhowmick , Dibakar Ghosh , Syamal K. Dana

In this work, we consider the problem of synchronizing two sets of data where the size of the symmetric difference between the sets is small and, in addition, the elements in the symmetric difference are related through the Hamming distance…

Information Theory · Computer Science 2018-09-14 Ryan Gabrys , Farzad Farnoud

Computing a Single-Linkage Dendrogram (SLD) is a key step in the classic single-linkage hierarchical clustering algorithm. Given an input edge-weighted tree $T$, the SLD of $T$ is a binary dendrogram that summarizes the $n-1$ clusterings…

Data Structures and Algorithms · Computer Science 2024-05-14 Laxman Dhulipala , Xiaojun Dong , Kishen N Gowda , Yan Gu

A pair of coupled erbium doped fiber ring lasers is used to explore the dynamics of coupled spatiotemporal systems. The lasers are mutually coupled with a coupling delay less than the cavity round-trip time. We study synchronization between…

Chaotic Dynamics · Physics 2009-11-11 L. B. Shaw , I. B. Schwartz , E. A. Rogers , R. Roy

Network couplings of oscillatory large-scale systems, such as the brain, have a space-time structure composed of connection strengths and signal transmission delays. We provide a theoretical framework, which allows treating the spatial…

In continuous logic, there are plenty of examples of interesting stable metric structures. However, on the other side of the SOP line, there are only a few metric structures where order is relevant, and orders often appear in different…

Logic · Mathematics 2025-10-15 Aaron Anderson , Diego Bejarano

Optimization of mutual synchronization between a pair of limit-cycle oscillators with weak symmetric coupling is considered in the framework of the phase reduction theory. By generalizing a previous study on the optimization of…

Adaptation and Self-Organizing Systems · Physics 2019-10-09 Nobuhiro Watanabe , Yuzuru Kato , Sho Shirasaka , Hiroya Nakao