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Sorting networks are oblivious sorting algorithms with many practical applications and rich theoretical properties. Propositional encodings of sorting networks are a key tool for proving concrete bounds on the minimum number of comparators…

Data Structures and Algorithms · Computer Science 2018-07-17 José A. R. Fonollosa

Stochastic Block Models (SBMs) are a popular approach to modeling single real-world graphs. The key idea of SBMs is to partition the vertices of the graph into blocks with similar edge densities within, as well as between different blocks.…

Social and Information Networks · Computer Science 2024-12-23 Iiro Kumpulainen , Sebastian Dalleiger , Jilles Vreeken , Nikolaj Tatti

In the first place, a novel, yet straightforward in-place integer value-sorting algorithm is presented. It sorts in linear time using constant amount of additional memory for storing counters and indices beside the input array. The…

Data Structures and Algorithms · Computer Science 2013-07-11 A. Emre Cetin

Network slicing is a crucial enabler and a trend for the Next Generation Mobile Network (NGMN) and various other new systems like the Internet of Vehicles (IoV) and Industrial IoT (IIoT). Orchestration and machine learning are key elements…

Networking and Internet Architecture · Computer Science 2024-01-15 Rodrigo Moreira , Flavio de Oliveira Silva , Tereza Cristina Melo de Brito Carvalho , Joberto S. B. Martins

Mixed-signal implementations of SNNs offer a promising solution to edge computing applications that require low-power and compact embedded processing systems. However, device mismatch in the analog circuits of these neuromorphic processors…

Neural and Evolutionary Computing · Computer Science 2024-10-28 Tommaso Boccato , Dmitrii Zendrikov , Nicola Toschi , Giacomo Indiveri

The routing algorithms used by current operators aim at coping with the demanded QoS requirements while optimizing the use of their network resources. These algorithms rely on the optimal substructure property (OSP), which states that an…

Networking and Internet Architecture · Computer Science 2018-08-07 Amaury Van Bemten , Jochen W. Guck , Carmen Mas Machuca , Wolfgang Kellerer

We introduce the Genetic-Gated Networks (G2Ns), simple neural networks that combine a gate vector composed of binary genetic genes in the hidden layer(s) of networks. Our method can take both advantages of gradient-free optimization and…

Neural and Evolutionary Computing · Computer Science 2019-03-06 Simyung Chang , John Yang , Jaeseok Choi , Nojun Kwak

In this paper we examine sorting on the assumption that we do not know in advance which way to sort a sequence of numbers and we set at work simple local comparison and swap operators whose repeating application ends up in sorted sequences.…

Artificial Intelligence · Computer Science 2009-03-11 Dimitris Kalles , Alexis Kaporis

We consider the problem of low-rank decomposition of incomplete multiway tensors. Since many real-world data lie on an intrinsically low dimensional subspace, tensor low-rank decomposition with missing entries has applications in many data…

Numerical Analysis · Computer Science 2016-08-24 Linxiao Yang , Jun Fang , Hongbin Li , Bing Zeng

LearnedSort is a novel sorting algorithm that, unlike traditional methods, uses fast ML models to boost the sorting speed. The models learn to estimate the input's distribution and arrange the keys in sorted order by predicting their…

Data Structures and Algorithms · Computer Science 2021-07-08 Ani Kristo , Kapil Vaidya , Tim Kraska

We propose new methods for Support Vector Machines (SVMs) using tree architecture for multi-class classi- fication. In each node of the tree, we select an appropriate binary classifier using entropy and generalization error estimation, then…

Machine Learning · Computer Science 2017-08-29 Pittipol Kantavat , Boonserm Kijsirikul , Patoomsiri Songsiri , Ken-ichi Fukui , Masayuki Numao

The process of rank aggregation is intimately intertwined with the structure of skew-symmetric matrices. We apply recent advances in the theory and algorithms of matrix completion to skew-symmetric matrices. This combination of ideas…

Numerical Analysis · Computer Science 2011-02-24 David F. Gleich , Lek-Heng Lim

A novel integer value-sorting technique is proposed replacing bucket sort, distribution counting sort and address calculation sort family of algorithms. It requires only constant amount of additional memory. The technique is inspired from…

Data Structures and Algorithms · Computer Science 2012-11-02 A. Emre Cetin

Sorting and permutation learning are key concepts in optimization and machine learning, especially when organizing high-dimensional data into meaningful spatial layouts. The Gumbel-Sinkhorn method, while effective, requires N*N parameters…

Machine Learning · Computer Science 2025-04-29 Kai Uwe Barthel , Florian Barthel , Peter Eisert

The sorting problem is one of the most relevant problems in computer science. Within the scope of modern computer science it has been studied for more than 70 years. In spite of these facts, new sorting algorithms have been developed in…

Data Structures and Algorithms · Computer Science 2014-11-04 Luis A. A. Meira , Rogério H. B. de Lima

We propose a new neural network framework, termed Neural Network Machine Regression (NNMR), which integrates trainable input gating and adaptive depth regularization to jointly perform feature selection and function estimation in an…

Methodology · Statistics 2026-02-03 Jiuchen Zhang , Ling Zhou , Peter Song

A simple method to produce a random order type is to take the order type of a random point set. We conjecture that many probability distributions on order types defined in this way are heavily concentrated and therefore sample inefficiently…

Computational Geometry · Computer Science 2020-06-05 Olivier Devillers , Philippe Duchon , Marc Glisse , Xavier Goaoc

Neural networks are fundamental tools of modern machine learning. The standard paradigm assumes binary interactions (across feedforward linear passes) between inter-tangled units, organized in sequential layers. Generalized architectures…

Machine Learning · Computer Science 2026-03-31 Gianluca Peri , Timoteo Carletti , Duccio Fanelli , Diego Febbe

This paper shows an application of the theory of sorting networks to facilitate the synthesis of optimized general purpose sorting libraries. Standard sorting libraries are often based on combinations of the classic Quicksort algorithm with…

Data Structures and Algorithms · Computer Science 2017-08-09 Michael Codish , Luís Cruz-Filipe , Markus Nebel , Peter Schneider-Kamp

Existing parallel algorithms for wavelet tree construction have a work complexity of $O(n\log\sigma)$. This paper presents parallel algorithms for the problem with improved work complexity. Our first algorithm is based on parallel integer…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-17 Julian Shun