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We present a self-stabilizing protocol for an overlay network that constructs the Minimum Spanning Tree (MST) for an underlay that is modeled by a weighted tree. The weight of an overlay edge between two nodes is the weighted length of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-10 Thorsten Götte , Christian Scheideler , Alexander Setzer

Many challenging tasks in sensor networks, including sensor calibration, ranking of nodes, monitoring, event region detection, collaborative filtering, collaborative signal processing, {\em etc.}, can be formulated as a problem of solving a…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-11-21 Ezra N. Hoch , Danny Bickson , Danny Dolev

This article is concerned with the numerical solution of subspace optimization problems, consisting of minimizing a smooth functional over the set of orthogonal projectors of fixed rank. Such problems are encountered in particular in…

Numerical Analysis · Mathematics 2022-10-17 Eric Cancès , Gaspard Kemlin , Antoine Levitt

The minimum spanning tree (MST) construction is a classical problem in Distributed Computing for creating a globally minimized structure distributedly. Self-stabilization is versatile technique for forward recovery that permits to handle…

Data Structures and Algorithms · Computer Science 2016-11-25 Lélia Blin , Maria Gradinariu Potop-Butucaru , Stephane Rovedakis , Sébastien Tixeuil

In this paper we present a novel algorithm for concurrent lock-free internal binary search trees (BST) and implement a Set abstract data type (ADT) based on that. We show that in the presented lock-free BST algorithm the amortized step…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-12 Bapi Chatterjee , Nhan Nguyen , Philippas Tsigas

In this work, we unify several quantum algorithmic frameworks for boolean functions that are based on the quantum adversary bound. First, we show that the $st$-connectivity framework subsumes the (adaptive/extended) learning graph…

Quantum Physics · Physics 2026-02-10 Arjan Cornelissen

In this paper, we introduce a collaborative training algorithm of balanced random forests with convolutional neural networks for domain adaptation tasks. In real scenarios, most domain adaptation algorithms face the challenges from noisy,…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 Jongbin Ryu , Jiun Bae , Jongwoo Lim

This report contains a numerical stability analysis of factorization algorithms for computing the Cholesky decomposition of symmetric positive definite matrices of displacement rank 2. The algorithms in the class can be expressed as…

Numerical Analysis · Mathematics 2021-07-05 Adam W. Bojanczyk , Richard P. Brent , Frank R. de Hoog , Douglas R. Sweet

We study the problem of maintaining a breadth-first spanning tree (BFS tree) in partially dynamic distributed networks modeling a sequence of either failures or additions of communication links (but not both). We present deterministic…

Data Structures and Algorithms · Computer Science 2018-03-02 Monika Henzinger , Sebastian Krinninger , Danupon Nanongkai

Sensor networks, such as ultra-wideband sensors for the smart warehouse, may need to run distributed algorithms for automatically determining a topological layout. In this paper, we present 5 different self-stabilizing algorithms (their…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-22 Barton F. Cone , Stephen T. Hedetniemi , Lance C. Ingle , Ken Kennedy

The application of the stabilization method [A.~U.\ Hazi and H.~S.\ Taylor, Phys.~Rev.~A {\bf 1}, 1109 (1970)]) to extract accurate energy and lifetimes of resonance states is challenging: The process requires labor-intensive numerical…

Computational Physics · Physics 2026-01-01 Johanna Langner , Anjan Sadhukhan , Jayanta K. Saha , Henryk A. Witek

We propose a self-stabilizing algorithm for computing a maximal matching in an anonymous network. The complexity is $O(n^3)$ moves with high probability, under the adversarial distributed daemon. In this algorithm, each node can determine…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Johanne Cohen , Jonas Lefèvre , Khaled Maâmra , Laurence Pilard , Devan Sohier

We initiate the study of tree structures in the context of scenario-based robust optimization. Specifically, we study Binary Search Trees (BSTs) and Huffman coding, two fundamental techniques for efficiently managing and encoding data based…

Data Structures and Algorithms · Computer Science 2024-08-22 Spyros Angelopoulos , Christoph Dürr , Alex Elenter , Georgii Melidi

Algorithms for binary classification based on adaptive tree partitioning are formulated and analyzed for both their risk performance and their friendliness to numerical implementation. The algorithms can be viewed as generating a set…

Statistics Theory · Mathematics 2014-11-05 Peter Binev , Albert Cohen , Wolfgang Dahmen , Ronald DeVore

The Binary Search Tree (BST) is average in computer science which supports a compact data structure in memory and oneself even conducts a row of quick algorithms, by which people often apply it in dynamical circumstance. Besides these…

Data Structures and Algorithms · Computer Science 2018-10-05 Yong Tan

The paper presents a technique for constructing noisy data structures called a walking tree. We apply it for a Red-Black tree (an implementation of a Self-Balanced Binary Search Tree) and a segment tree. We obtain the same complexity of the…

Quantum Physics · Physics 2023-05-16 Kamil Khadiev , Nikita Savelyev , Mansur Ziatdinov , Denis Melnikov

Random forests on the one hand, and neural networks on the other hand, have met great success in the machine learning community for their predictive performance. Combinations of both have been proposed in the literature, notably leading to…

Machine Learning · Computer Science 2021-10-15 Ludovic Arnould , Claire Boyer , Erwan Scornet , Sorbonne Lpsm

Determining subgroups that respond especially well (or poorly) to specific interventions (medical or policy) requires new supervised learning methods tailored specifically for causal inference. Bayesian Causal Forest (BCF) is a recent…

Machine Learning · Statistics 2022-09-16 Nikolay Krantsevich , Jingyu He , P. Richard Hahn

This is one of our series works on discrete energy analysis of the variable-step BDF schemes. In this part, we present stability and convergence analysis of the third-order BDF (BDF3) schemes with variable steps for linear diffusion…

Numerical Analysis · Mathematics 2024-04-24 Hong-lin Liao , Tao Tang , Tao Zhou

This paper applies Benders decomposition to two-stage stochastic problems for energy planning under climate uncertainty, a key problem for the design of renewable energy systems. To improve performance, we adapt various refinements for…

Optimization and Control · Mathematics 2024-01-29 Leonard Göke , Felix Schmidt , Mario Kendziorski