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We propose a variation of the self organizing map algorithm by considering the random placement of neurons on a two-dimensional manifold, following a blue noise distribution from which various topologies can be derived. These topologies…

Neural and Evolutionary Computing · Computer Science 2020-11-20 Nicolas P. Rougier , Georgios Is. Detorakis

Motivated by applications to sensor networks, as well as to many other areas, this paper studies the construction of minimum-degree spanning trees. We consider the classical node-register state model, with a weakly fair scheduler, and we…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-12 Lélia Blin , Pierre Fraigniaud

Secondary homological stability is a recently discovered stability pattern for the homology of a sequence of spaces exhibiting homological stability in a range where homological stability does not hold. We prove secondary homological…

Algebraic Topology · Mathematics 2023-07-04 Zachary Himes

We consider the leader election problem in population protocol models. In pragmatic settings of population protocols, self-stabilization is a highly desired feature owing to its fault resilience and the benefit of initialization freedom.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-21 Yuichi Sudo , Ryota Eguchi , Taisuke Izumi , Toshimitsu Masuzawa

Topological self-stabilization describes the ability of a distributed system to let the nodes themselves establish a meaningful overlay network. Independent from the initial network topology, the system converges to the desired topology via…

Logic in Computer Science · Computer Science 2016-04-15 Christina Rickmann

This work studies the stabilization for a periodic parabolic system under perturbations in the system conductivity. A perturbed system does not have any periodic solution in general. However, we will prove that the perturbed system can…

Optimization and Control · Mathematics 2009-02-26 Ling Lei

In graph theory, an independent set is a subset of nodes where there are no two adjacent nodes. The independent set is maximal if no node outside the independent set can join it. In network applications, maximal independent sets can be used…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-01 Badreddine Benreguia , Hamouma Moumen , Soheila Bouam , Chafik Arar

In this paper, we introduce an SMT-based method that automatically synthesizes a distributed self-stabilizing protocol from a given high-level specification and network topology. Unlike existing approaches, where synthesis algorithms…

Software Engineering · Computer Science 2023-06-22 Fathiyeh Faghih , Borzoo Bonakdarpour , Sebastien Tixeuil , Sandeep Kulkarni

In optimal transport, quadratic regularization is a sparse alternative to entropic regularization: the solution measure tends to have small support. Computational experience suggests that the support decreases monotonically to the…

Optimization and Control · Mathematics 2025-04-16 Alberto González-Sanz , Marcel Nutz , Andrés Riveros Valdevenito

Current reconfiguration techniques are based on starting the system in a consistent configuration, in which all participating entities are in their initial state. Starting from that state, the system must preserve consistency as long as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-07 Shlomi Dolev , Chryssis Georgiou , Ioannis Marcoullis , Elad M. Schiller

A remarkably simple result is found for the optimal protocol of drivings for a general two-level Hamiltonian which transports a given initial state to a given final state in minimal time. If one of the three possible drivings is…

Quantum Physics · Physics 2015-06-22 Gerhard C. Hegerfeldt

We address nonautonomous initial boundary value problems for decoupled linear first-order one-dimensional hyperbolic systems, investigating the phenomenon of finite time stabilization. We establish sufficient and necessary conditions…

Analysis of PDEs · Mathematics 2025-12-10 Irina Kmit , Natalya Lyul'ko

Differentiable architecture search (DARTS) is a prevailing NAS solution to identify architectures. Based on the continuous relaxation of the architecture space, DARTS learns a differentiable architecture weight and largely reduces the…

Machine Learning · Computer Science 2021-01-19 Xiangning Chen , Cho-Jui Hsieh

There has been a significant amount of work in the literature proposing semantic relaxation of concurrent data structures for improving scalability and performance. By relaxing the semantics of a data structure, a bigger design space, that…

Data Structures and Algorithms · Computer Science 2025-11-11 Adones Rukundo , Aras Atalar , Philippas Tsigas

Building concurrent spatial trees is more complicated than binary search trees since a space hierarchy should be preserved during modifications. We present a non-blocking quadtree-quadboost-that supports concurrent insert, remove, move, and…

Data Structures and Algorithms · Computer Science 2016-07-13 Keren Zhou , Guangming Tan , Wei Zhou

The problem of searching for an unknown object occurs in important applications ranging from security, medicine and defense. Sensors with the capability to process information rapidly require adaptive algorithms to control their search in…

Information Theory · Computer Science 2015-08-18 Huanyu Ding , David A. Castañón

We show that the two-dimensional structure of a rigidly rotating self-gravitating body is accessible with relatively good precision by assuming a purely spheroidal stratification. With this hypothesis, the two-dimensional problem becomes…

Solar and Stellar Astrophysics · Physics 2024-02-14 Clément Staelen , Jean-Marc Huré

Remote entanglement between widely separated qubits is a fundamental quantum phenomenon and a critical resource for quantum information applications. Generating entanglement between independent qubits separated by arbitrary, potentially…

A self-stabilizing protocol has the capacity to recover a legitimate behavior whatever is its initial state. The majority of works in self-stabilization assume a shared memory model or a communication using reliable and FIFO channels. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-04-21 Shlomi Dolev , Swan Dubois , Maria Potop-Butucaru , Sébastien Tixeuil

Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. Combining the use of our data structure for characterizing feasible packings with our new classes of…

Data Structures and Algorithms · Computer Science 2007-05-23 Sandor P. Fekete , Joerg Schepers , Jan C. van der Veen